G48、G72

D:\MathTool\gaptool>Gnm 48 52
GAP[48,2]:
N0C1Nk=1,1,2,2,2,4,4,8,8,16,[[0,46],[1,2]],[[1,1,1],[2,1,1],[3,1,2],[4,1,2],[6,1,2],[8,1,4],[12,1,4],[16,1,8],[24,1,8],[48,1,16]]
S2=0,1,3,5,11,22,46,92,188,760
kKEZDCANS=48,[48,0,0,0,0,0,0,0,0,0],48,48,1,1,1,1,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,2],[6,2,2],[8,1,4],[12,2,4],[16,1,8],[24,2,8]],[[2,1,1],[3,1,3],[4,1,5],[6,2,11],[8,1,22],[12,2,46],[16,1
,92],[24,2,188]]
Center(GAP[48,2])=GAP[48,2]
DerivedSubgroup(GAP[48,2])=GAP[1,1]
PZ(GAP[48,2])=GAP[1,1]
PD(GAP[48,2])=GAP[48,2]

GAP[48,4]:
N0C1Nk=1,7,2,8,2,16,4,0,8,0,[[0,40],[1,8]],[[1,1,1],[2,1,1],[2,3,6],[3,2,2],[4,1,2],[4,3,6],[6,2,2],[8,1,4],[8,3,12],[12,2,4],[24,2,8]]
S2=0,7,3,29,29,124,100,144,404,288
kKEZDCANS=24,[8,8,8,0,0,0,0,0,0,0],24,8,3,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,2],[4,1,8],[6,2,2],[8,1,16],[12,2,4],[24,2,8]],[[2,1,7],[3,1,3],[4,1,20],[4,2,9],[6,1,18],[6,2,11],[8,1,88],[8,2,
36],[12,1,36],[12,2,46],[12,4,18],[16,5,144],[24,1,144],[24,2,188],[24,5,72]]
Center(GAP[48,4])=GAP[8,1]
DerivedSubgroup(GAP[48,4])=GAP[3,1]
PZ(GAP[48,4])=GAP[6,1]
PD(GAP[48,4])=GAP[16,5]

GAP[48,7]:
N0C1Nk=1,25,2,2,2,4,4,0,8,0,[[0,20],[1,28]],[[1,1,1],[2,1,1],[2,12,24],[3,2,2],[4,2,2],[6,2,2],[8,2,4],[12,2,4],[24,2,8]]
S2=0,25,3,41,83,94,118,144,332,288
kKEZDCANS=15,[2,11,0,0,0,0,2,0,0,0],24,2,12,0,0,0,1
I1I2=[[1,1,1],[2,1,25],[3,1,2],[4,1,2],[6,2,2],[8,1,4],[12,2,4],[24,2,8]],[[2,1,25],[3,1,3],[4,1,5],[4,2,36],[6,1,72],[6,2,11],[8,1,22],[8,3
,72],[12,2,46],[12,4,72],[16,7,144],[24,2,188],[24,6,144]]
Center(GAP[48,7])=GAP[2,1]
DerivedSubgroup(GAP[48,7])=GAP[12,2]
PZ(GAP[48,7])=GAP[24,6]
PD(GAP[48,7])=GAP[4,2]

GAP[48,11]:
N0C1Nk=1,3,2,28,6,0,8,0,0,0,[[0,44],[1,4]],[[1,1,1],[2,1,3],[3,2,2],[4,1,4],[4,3,24],[6,2,6],[12,2,8]]
S2=0,3,3,73,33,84,260,144,240,288
kKEZDCANS=24,[8,8,8,0,0,0,0,0,0,0],12,8,3,0,0,0,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,28],[6,2,6],[12,2,8]],[[2,1,3],[3,1,3],[4,1,70],[4,2,3],[6,2,33],[8,2,84],[12,1,144],[12,2,92],[12,5,24],
[16,2,144],[24,7,144],[24,9,96]]
Center(GAP[48,11])=GAP[8,2]
DerivedSubgroup(GAP[48,11])=GAP[3,1]
PZ(GAP[48,11])=GAP[6,1]
PD(GAP[48,11])=GAP[16,2]

GAP[48,13]:
N0C1Nk=1,3,2,28,6,0,8,0,0,0,[[0,40],[1,8]],[[1,1,1],[2,1,3],[3,2,2],[4,2,4],[4,6,24],[6,2,6],[12,2,8]]
S2=0,3,3,73,33,84,260,144,240,288
kKEZDCANS=18,[4,10,0,0,4,0,0,0,0,0],12,4,6,0,0,0,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,28],[6,2,6],[12,2,8]],[[2,1,3],[3,1,3],[4,1,70],[4,2,3],[6,2,33],[8,2,84],[12,1,144],[12,2,92],[12,5,24],
[16,4,144],[24,7,144],[24,9,96]]
Center(GAP[48,13])=GAP[4,2]
DerivedSubgroup(GAP[48,13])=GAP[6,2]
PZ(GAP[48,13])=GAP[12,4]
PD(GAP[48,13])=GAP[8,2]

GAP[48,20]:
N0C1Nk=1,3,2,12,6,0,24,0,0,0,[[0,44],[1,4]],[[1,1,1],[2,1,3],[3,1,2],[4,1,12],[6,1,6],[12,1,24]]
S2=0,3,3,33,33,36,300,48,288,384
kKEZDCANS=48,[48,0,0,0,0,0,0,0,0,0],12,48,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,12],[6,2,6],[12,2,24]],[[2,1,3],[3,1,3],[4,1,30],[4,2,3],[6,2,33],[8,2,36],[12,2,276],[12,5,24],[16,2,48]
,[24,9,288]]
Center(GAP[48,20])=GAP[48,20]
DerivedSubgroup(GAP[48,20])=GAP[1,1]
PZ(GAP[48,20])=GAP[1,1]
PD(GAP[48,20])=GAP[48,20]

GAP[48,22]:
N0C1Nk=1,3,2,12,6,0,24,0,0,0,[[0,40],[1,8]],[[1,1,1],[2,1,3],[3,1,2],[4,2,12],[6,1,6],[12,2,24]]
S2=0,3,3,33,33,36,300,48,288,384
kKEZDCANS=30,[12,18,0,0,0,0,0,0,0,0],12,12,2,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,12],[6,2,6],[12,2,24]],[[2,1,3],[3,1,3],[4,1,30],[4,2,3],[6,2,33],[8,2,36],[12,2,276],[12,5,24],[16,4,48]
,[24,9,288]]
Center(GAP[48,22])=GAP[12,5]
DerivedSubgroup(GAP[48,22])=GAP[2,1]
PZ(GAP[48,22])=GAP[4,2]
PD(GAP[48,22])=GAP[24,9]

GAP[48,23]:
N0C1Nk=1,3,2,4,6,8,8,0,16,0,[[0,44],[1,4]],[[1,1,1],[2,1,3],[3,1,2],[4,1,4],[6,1,6],[8,1,8],[12,1,8],[24,1,16]]
S2=0,3,3,13,33,56,116,48,472,384
kKEZDCANS=48,[48,0,0,0,0,0,0,0,0,0],24,48,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,4],[6,2,6],[8,1,8],[12,2,8],[24,2,16]],[[2,1,3],[3,1,3],[4,1,10],[4,2,3],[6,2,33],[8,1,44],[8,2,12],[12,2
,92],[12,5,24],[16,5,48],[24,2,376],[24,9,96]]
Center(GAP[48,23])=GAP[48,23]
DerivedSubgroup(GAP[48,23])=GAP[1,1]
PZ(GAP[48,23])=GAP[1,1]
PD(GAP[48,23])=GAP[48,23]

GAP[48,24]:
N0C1Nk=1,3,2,4,6,8,8,0,16,0,[[0,42],[1,6]],[[1,1,1],[2,1,1],[2,2,2],[3,1,2],[4,1,2],[4,2,2],[6,1,2],[6,2,4],[8,2,8],[12,1,4],[12,2,4],[24,2,
16]]
S2=0,3,3,13,33,56,116,48,472,384
kKEZDCANS=30,[12,18,0,0,0,0,0,0,0,0],24,12,2,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,4],[6,2,6],[8,1,8],[12,2,8],[24,2,16]],[[2,1,3],[3,1,3],[4,1,10],[4,2,3],[6,2,33],[8,1,44],[8,2,12],[12,2
,92],[12,5,24],[16,6,48],[24,2,376],[24,9,96]]
Center(GAP[48,24])=GAP[12,2]
DerivedSubgroup(GAP[48,24])=GAP[2,1]
PZ(GAP[48,24])=GAP[4,2]
PD(GAP[48,24])=GAP[24,9]

GAP[48,28]:
N0C1Nk=1,1,8,18,8,12,0,0,0,0,[[0,28],[1,20]],[[1,1,1],[2,1,1],[3,8,8],[4,6,6],[4,12,12],[6,8,8],[8,6,12]]
S2=0,1,12,45,44,114,144,144,192,432
kKEZDCANS=8,[2,0,0,0,3,2,1,0,0,0],24,2,24,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,8],[4,1,18],[6,2,8],[8,1,12]],[[2,1,1],[3,1,12],[4,1,45],[6,2,44],[8,1,66],[8,4,48],[12,1,144],[16,9,144],[24,3,1
92]]
Center(GAP[48,28])=GAP[2,1]
DerivedSubgroup(GAP[48,28])=GAP[24,3]
PZ(GAP[48,28])=GAP[24,12]
PD(GAP[48,28])=GAP[2,1]

GAP[48,29]:
N0C1Nk=1,13,8,6,8,12,0,0,0,0,[[0,16],[1,32]],[[1,1,1],[2,1,1],[2,12,12],[3,8,8],[4,6,6],[6,8,8],[8,6,12]]
S2=0,13,12,33,116,114,72,144,192,432
kKEZDCANS=8,[2,0,0,0,3,2,1,0,0,0],24,2,24,0,0,0,1
I1I2=[[1,1,1],[2,1,13],[3,1,8],[4,1,6],[6,2,8],[8,1,12]],[[2,1,13],[3,1,12],[4,1,15],[4,2,18],[6,1,72],[6,2,44],[8,1,66],[8,3,36],[8,4,12],[
12,4,72],[16,8,144],[24,3,192]]
Center(GAP[48,29])=GAP[2,1]
DerivedSubgroup(GAP[48,29])=GAP[24,3]
PZ(GAP[48,29])=GAP[24,12]
PD(GAP[48,29])=GAP[2,1]

GAP[48,31]:
N0C1Nk=1,7,8,8,8,0,16,0,0,0,[[0,40],[1,8]],[[1,1,1],[2,1,1],[2,3,6],[3,4,8],[4,1,2],[4,3,6],[6,4,8],[12,4,16]]
S2=0,7,12,41,44,72,232,0,144,576
kKEZDCANS=16,[4,0,4,8,0,0,0,0,0,0],12,4,4,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,8],[4,1,8],[6,2,8],[12,2,16]],[[2,1,7],[3,1,12],[4,1,20],[4,2,21],[6,2,44],[8,2,72],[12,2,184],[12,3,48],[24,13,1
44]]
Center(GAP[48,31])=GAP[4,1]
DerivedSubgroup(GAP[48,31])=GAP[4,2]
PZ(GAP[48,31])=GAP[12,3]
PD(GAP[48,31])=GAP[12,2]

GAP[48,32]:
N0C1Nk=1,3,8,12,24,0,0,0,0,0,[[0,32],[1,16]],[[1,1,1],[2,1,3],[3,4,8],[4,6,12],[6,4,24]]
S2=0,3,12,33,132,84,96,0,192,576
kKEZDCANS=14,[4,0,0,8,2,0,0,0,0,0],12,4,8,0,0,0,1
I1I2=[[1,1,1],[2,1,3],[3,1,8],[4,1,12],[6,2,24]],[[2,1,3],[3,1,12],[4,1,30],[4,2,3],[6,2,132],[8,2,36],[8,4,48],[12,5,96],[24,3,192]]
Center(GAP[48,32])=GAP[4,2]
DerivedSubgroup(GAP[48,32])=GAP[8,4]
PZ(GAP[48,32])=GAP[12,3]
PD(GAP[48,32])=GAP[6,2]

GAP[48,35]:
N0C1Nk=1,15,2,16,6,0,8,0,0,0,[[0,32],[1,16]],[[1,1,1],[2,1,3],[2,3,12],[3,2,2],[4,1,4],[4,3,12],[6,2,6],[12,2,8]]
S2=0,15,3,97,69,192,296,0,456,0
kKEZDCANS=24,[8,8,8,0,0,0,0,0,0,0],12,8,3,0,0,0,1
I1I2=[[1,1,1],[2,1,15],[3,1,2],[4,1,16],[6,2,6],[12,2,8]],[[2,1,15],[3,1,3],[4,1,40],[4,2,57],[6,1,36],[6,2,33],[8,2,192],[12,1,72],[12,2,92
],[12,4,108],[12,5,24],[24,5,288],[24,7,72],[24,9,96]]
Center(GAP[48,35])=GAP[8,2]
DerivedSubgroup(GAP[48,35])=GAP[3,1]
PZ(GAP[48,35])=GAP[6,1]
PD(GAP[48,35])=GAP[16,10]

GAP[48,36]:
N0C1Nk=1,27,2,4,6,0,8,0,0,0,[[0,16],[1,32]],[[1,1,1],[2,1,3],[2,6,24],[3,2,2],[4,2,4],[6,2,6],[12,2,8]]
S2=0,27,3,121,105,156,332,0,384,0
kKEZDCANS=18,[4,10,0,0,4,0,0,0,0,0],12,4,6,0,0,0,1
I1I2=[[1,1,1],[2,1,27],[3,1,2],[4,1,4],[6,2,6],[12,2,8]],[[2,1,27],[3,1,3],[4,1,10],[4,2,111],[6,1,72],[6,2,33],[8,2,12],[8,3,144],[12,2,92]
,[12,4,216],[12,5,24],[24,6,288],[24,9,96]]
Center(GAP[48,36])=GAP[4,2]
DerivedSubgroup(GAP[48,36])=GAP[6,2]
PZ(GAP[48,36])=GAP[12,4]
PD(GAP[48,36])=GAP[8,5]

GAP[48,38]:
N0C1Nk=1,23,2,8,10,0,4,0,0,0,[[0,16],[1,32]],[[1,1,1],[2,1,1],[2,2,4],[2,3,6],[2,6,12],[3,2,2],[4,2,2],[4,6,6],[6,2,2],[6,4,8],[12,4,4]]
S2=0,23,3,125,109,156,328,0,384,0
kKEZDCANS=15,[2,5,2,3,3,0,0,0,0,0],12,2,6,0,0,0,1
I1I2=[[1,1,1],[2,1,23],[3,1,2],[4,1,8],[6,2,10],[12,2,4]],[[2,1,23],[3,1,3],[4,1,20],[4,2,105],[6,1,54],[6,2,55],[8,2,36],[8,3,120],[12,1,36
],[12,2,46],[12,4,198],[12,5,48],[24,5,72],[24,6,72],[24,8,144],[24,10,96]]
Center(GAP[48,38])=GAP[2,1]
DerivedSubgroup(GAP[48,38])=GAP[6,2]
PZ(GAP[48,38])=GAP[24,14]
PD(GAP[48,38])=GAP[8,5]

GAP[48,40]:
N0C1Nk=1,7,2,24,2,0,12,0,0,0,[[0,16],[1,32]],[[1,1,1],[2,1,1],[2,3,6],[3,2,2],[4,2,6],[4,6,18],[6,2,2],[12,4,12]]
S2=0,7,3,69,29,228,264,0,528,0
kKEZDCANS=15,[2,5,2,3,3,0,0,0,0,0],12,2,6,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,2],[4,1,24],[6,2,2],[12,2,12]],[[2,1,7],[3,1,3],[4,1,60],[4,2,9],[6,1,18],[6,2,11],[8,2,108],[8,4,120],[12,1,108]
,[12,2,138],[12,4,18],[24,4,216],[24,5,216],[24,11,96]]
Center(GAP[48,40])=GAP[2,1]
DerivedSubgroup(GAP[48,40])=GAP[6,2]
PZ(GAP[48,40])=GAP[24,14]
PD(GAP[48,40])=GAP[8,5]

GAP[48,42]:
N0C1Nk=1,7,2,24,14,0,0,0,0,0,[[0,40],[1,8]],[[1,1,1],[2,1,7],[3,2,2],[4,3,24],[6,2,14]]
S2=0,7,3,81,77,216,312,0,432,0
kKEZDCANS=24,[8,8,8,0,0,0,0,0,0,0],12,8,3,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,2],[4,1,24],[6,2,14]],[[2,1,7],[3,1,3],[4,1,60],[4,2,21],[6,2,77],[8,2,216],[12,1,144],[12,5,168],[24,7,432]]
Center(GAP[48,42])=GAP[8,5]
DerivedSubgroup(GAP[48,42])=GAP[3,1]
PZ(GAP[48,42])=GAP[6,1]
PD(GAP[48,42])=GAP[16,10]

GAP[48,44]:
N0C1Nk=1,7,2,8,14,0,16,0,0,0,[[0,40],[1,8]],[[1,1,1],[2,1,7],[3,1,2],[4,1,8],[6,1,14],[12,1,16]]
S2=0,7,3,41,77,72,352,0,576,0
kKEZDCANS=48,[48,0,0,0,0,0,0,0,0,0],12,48,1,0,1,1,1
I1I2=[[1,1,1],[2,1,7],[3,1,2],[4,1,8],[6,2,14],[12,2,16]],[[2,1,7],[3,1,3],[4,1,20],[4,2,21],[6,2,77],[8,2,72],[12,2,184],[12,5,168],[24,9,5
76]]
Center(GAP[48,44])=GAP[48,44]
DerivedSubgroup(GAP[48,44])=GAP[1,1]
PZ(GAP[48,44])=GAP[1,1]
PD(GAP[48,44])=GAP[48,44]

GAP[48,45]:
N0C1Nk=1,11,2,4,22,0,8,0,0,0,[[0,32],[1,16]],[[1,1,1],[2,1,3],[2,2,8],[3,1,2],[4,2,4],[6,1,6],[6,2,16],[12,2,8]]
S2=0,11,3,49,121,60,404,0,480,0
kKEZDCANS=30,[12,18,0,0,0,0,0,0,0,0],12,12,2,0,0,1,1
I1I2=[[1,1,1],[2,1,11],[3,1,2],[4,1,4],[6,2,22],[12,2,8]],[[2,1,11],[3,1,3],[4,1,10],[4,2,39],[6,2,121],[8,2,12],[8,3,48],[12,2,92],[12,5,31
2],[24,9,96],[24,10,384]]
Center(GAP[48,45])=GAP[12,5]
DerivedSubgroup(GAP[48,45])=GAP[2,1]
PZ(GAP[48,45])=GAP[4,2]
PD(GAP[48,45])=GAP[24,15]

GAP[48,46]:
N0C1Nk=1,3,2,12,6,0,24,0,0,0,[[0,32],[1,16]],[[1,1,1],[2,1,3],[3,1,2],[4,2,12],[6,1,6],[12,2,24]]
S2=0,3,3,33,33,84,300,0,672,0
kKEZDCANS=30,[12,18,0,0,0,0,0,0,0,0],12,12,2,0,0,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,12],[6,2,6],[12,2,24]],[[2,1,3],[3,1,3],[4,1,30],[4,2,3],[6,2,33],[8,2,36],[8,4,48],[12,2,276],[12,5,24],
[24,9,288],[24,11,384]]
Center(GAP[48,46])=GAP[12,5]
DerivedSubgroup(GAP[48,46])=GAP[2,1]
PZ(GAP[48,46])=GAP[4,2]
PD(GAP[48,46])=GAP[24,15]

GAP[48,47]:
N0C1Nk=1,7,2,8,14,0,16,0,0,0,[[0,34],[1,14]],[[1,1,1],[2,1,1],[2,2,6],[3,1,2],[4,1,2],[4,2,6],[6,1,2],[6,2,12],[12,1,4],[12,2,12]]
S2=0,7,3,29,77,84,256,0,672,0
kKEZDCANS=30,[12,18,0,0,0,0,0,0,0,0],12,12,2,0,0,1,1
I1I2=[[1,1,1],[2,1,7],[3,1,2],[4,1,8],[6,2,14],[12,2,16]],[[2,1,7],[3,1,3],[4,1,20],[4,2,9],[6,2,77],[8,2,36],[8,3,36],[8,4,12],[12,2,184],[
12,5,72],[24,9,288],[24,10,288],[24,11,96]]
Center(GAP[48,47])=GAP[12,2]
DerivedSubgroup(GAP[48,47])=GAP[2,1]
PZ(GAP[48,47])=GAP[4,2]
PD(GAP[48,47])=GAP[24,15]

GAP[48,48]:
N0C1Nk=1,19,8,12,8,0,0,0,0,0,[[0,16],[1,32]],[[1,1,1],[2,1,1],[2,3,6],[2,6,12],[3,8,8],[4,6,12],[6,8,8]]
S2=0,19,12,105,116,180,120,0,360,216
kKEZDCANS=10,[2,0,2,0,4,2,0,0,0,0],12,2,12,0,0,0,1
I1I2=[[1,1,1],[2,1,19],[3,1,8],[4,1,12],[6,2,8]],[[2,1,19],[3,1,12],[4,1,30],[4,2,75],[6,1,72],[6,2,44],[8,2,36],[8,3,144],[12,3,48],[12,4,7
2],[24,12,216],[24,13,144]]
Center(GAP[48,48])=GAP[2,1]
DerivedSubgroup(GAP[48,48])=GAP[12,3]
PZ(GAP[48,48])=GAP[24,12]
PD(GAP[48,48])=GAP[4,2]

GAP[48,49]:
N0C1Nk=1,15,8,0,24,0,0,0,0,0,[[0,32],[1,16]],[[1,1,1],[2,1,3],[2,3,12],[3,4,8],[6,4,24]]
S2=0,15,12,105,132,0,144,0,432,288
kKEZDCANS=16,[4,0,4,8,0,0,0,0,0,0],6,4,4,0,0,0,1
I1I2=[[1,1,1],[2,1,15],[3,1,8],[6,2,24]],[[2,1,15],[3,1,12],[4,2,105],[6,2,132],[12,3,48],[12,5,96],[24,13,432]]
Center(GAP[48,49])=GAP[4,2]
DerivedSubgroup(GAP[48,49])=GAP[4,2]
PZ(GAP[48,49])=GAP[12,3]
PD(GAP[48,49])=GAP[12,5]

GAP[48,51]:
N0C1Nk=1,31,2,0,14,0,0,0,0,0,[[0,16],[1,32]],[[1,1,1],[2,1,7],[2,3,24],[3,2,2],[6,2,14]]
S2=0,31,3,273,149,0,672,0,0,0
kKEZDCANS=24,[8,8,8,0,0,0,0,0,0,0],6,8,3,0,0,0,1
I1I2=[[1,1,1],[2,1,31],[3,1,2],[6,2,14]],[[2,1,31],[3,1,3],[4,2,273],[6,1,72],[6,2,77],[12,4,504],[12,5,168]]
Center(GAP[48,51])=GAP[8,5]
DerivedSubgroup(GAP[48,51])=GAP[3,1]
PZ(GAP[48,51])=GAP[6,1]
PD(GAP[48,51])=GAP[16,14]

GAP[48,52]:
N0C1Nk=1,15,2,0,30,0,0,0,0,0,[[0,32],[1,16]],[[1,1,1],[2,1,15],[3,1,2],[6,1,30]]
S2=0,15,3,105,165,0,840,0,0,0
kKEZDCANS=48,[48,0,0,0,0,0,0,0,0,0],6,48,1,0,1,1,1
I1I2=[[1,1,1],[2,1,15],[3,1,2],[6,2,30]],[[2,1,15],[3,1,3],[4,2,105],[6,2,165],[12,5,840]]
Center(GAP[48,52])=GAP[48,52]
DerivedSubgroup(GAP[48,52])=GAP[1,1]
PZ(GAP[48,52])=GAP[1,1]
PD(GAP[48,52])=GAP[48,52]

D:\MathTool\gaptool>Gnm 72 50
GAP[72,1]:
N0C1Nk=1,1,2,2,2,36,6,4,6,0,12,0,[[0,70],[1,2]],[[1,1,1],[2,1,1],[3,2,2],[4,1,2],[6,2,2],[8,9,36],[9,2,6],[12,2,4],[18,2,6],[36,2,12]]
S2=0,1,3,5,11,198,33,46,105,432,426,1296
kKEZDCANS=24,[4,16,0,0,0,0,4,0,0,0,0,0],72,4,9,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,2],[6,2,2],[8,1,36],[9,1,6],[12,2,4],[18,2,6],[36,2,12]],[[2,1,1],[3,1,3],[4,1,5],[6,2,11],[8,1,198],[9,1,33],[12,2,46],[18,2,105],[24,1,432],[36,2,426]]
Center(GAP[72,1])=GAP[4,1]
DerivedSubgroup(GAP[72,1])=GAP[9,1]
PZ(GAP[72,1])=GAP[18,1]
PD(GAP[72,1])=GAP[8,1]

GAP[72,2]:
N0C1Nk=1,1,2,2,2,4,6,4,6,8,12,24,[[0,70],[1,2]],[[1,1,1],[2,1,1],[3,1,2],[4,1,2],[6,1,2],[8,1,4],[9,1,6],[12,1,4],[18,1,6],[24,1,8],[36,1,12],[72,1,24]]
S2=0,1,3,5,11,22,33,46,105,188,426,1716
kKEZDCANS=72,[72,0,0,0,0,0,0,0,0,0,0,0],72,72,1,1,1,1,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,2],[6,2,2],[8,1,4],[9,1,6],[12,2,4],[18,2,6],[24,2,8],[36,2,12]],[[2,1,1],[3,1,3],[4,1,5],[6,2,11],[8,1,22],[9,1,33],[12,2,46],[18,2,105],[24,2,188],[36,2,426]]
Center(GAP[72,2])=GAP[72,2]
DerivedSubgroup(GAP[72,2])=GAP[1,1]
PZ(GAP[72,2])=GAP[1,1]
PD(GAP[72,2])=GAP[72,2]

GAP[72,4]:
N0C1Nk=1,1,2,38,2,0,6,4,6,0,12,0,[[0,32],[1,40]],[[1,1,1],[2,1,1],[3,2,2],[4,2,2],[4,18,36],[6,2,2],[9,2,6],[12,2,4],[18,2,6],[36,2,12]]
S2=0,1,3,95,11,108,33,262,105,216,1074,648
kKEZDCANS=21,[2,17,0,0,0,0,0,0,2,0,0,0],36,2,18,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,38],[6,2,2],[9,1,6],[12,2,4],[18,2,6],[36,2,12]],[[2,1,1],[3,1,3],[4,1,95],[6,2,11],[8,4,108],[9,1,33],[12,1,216],[12,2,46],[18,2,105],[24,4,216],[36,1,648],[36,2,426]]
Center(GAP[72,4])=GAP[2,1]
DerivedSubgroup(GAP[72,4])=GAP[18,2]
PZ(GAP[72,4])=GAP[36,4]
PD(GAP[72,4])=GAP[4,2]

GAP[72,5]:
N0C1Nk=1,19,2,20,2,0,6,4,6,0,12,0,[[0,52],[1,20]],[[1,1,1],[2,1,1],[2,9,18],[3,2,2],[4,1,2],[4,9,18],[6,2,2],[9,2,6],[12,2,4],[18,2,6],[36,2,12]]
S2=0,19,3,77,65,108,33,208,267,216,912,648
kKEZDCANS=24,[4,16,0,0,0,0,4,0,0,0,0,0],36,4,9,0,0,0,1
I1I2=[[1,1,1],[2,1,19],[3,1,2],[4,1,20],[6,2,2],[9,1,6],[12,2,4],[18,2,6],[36,2,12]],[[2,1,19],[3,1,3],[4,1,50],[4,2,27],[6,1,54],[6,2,11],[8,2,108],[9,1,33],[12,1,108],[12,2,46],[12,4,54],[18,1,162],[18,2,105]
,[24,5,216],[36,1,324],[36,2,426],[36,4,162]]
Center(GAP[72,5])=GAP[4,1]
DerivedSubgroup(GAP[72,5])=GAP[9,1]
PZ(GAP[72,5])=GAP[18,1]
PD(GAP[72,5])=GAP[8,2]

GAP[72,6]:
N0C1Nk=1,37,2,2,2,0,6,4,6,0,12,0,[[0,32],[1,40]],[[1,1,1],[2,1,1],[2,18,36],[3,2,2],[4,2,2],[6,2,2],[9,2,6],[12,2,4],[18,2,6],[36,2,12]]
S2=0,37,3,59,119,108,33,154,429,216,750,648
kKEZDCANS=21,[2,17,0,0,0,0,0,0,2,0,0,0],36,2,18,0,0,0,1
I1I2=[[1,1,1],[2,1,37],[3,1,2],[4,1,2],[6,2,2],[9,1,6],[12,2,4],[18,2,6],[36,2,12]],[[2,1,37],[3,1,3],[4,1,5],[4,2,54],[6,1,108],[6,2,11],[8,3,108],[9,1,33],[12,2,46],[12,4,108],[18,1,324],[18,2,105],[24,6,216]
,[36,2,426],[36,4,324]]
Center(GAP[72,6])=GAP[2,1]
DerivedSubgroup(GAP[72,6])=GAP[18,2]
PZ(GAP[72,6])=GAP[36,4]
PD(GAP[72,6])=GAP[4,2]

GAP[72,7]:
N0C1Nk=1,3,2,36,6,0,6,0,18,0,0,0,[[0,68],[1,4]],[[1,1,1],[2,1,3],[3,2,2],[4,9,36],[6,2,6],[9,2,6],[18,2,18]]
S2=0,3,3,93,33,108,33,240,315,216,864,648
kKEZDCANS=24,[4,16,0,0,0,0,4,0,0,0,0,0],36,4,9,0,0,0,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,36],[6,2,6],[9,1,6],[18,2,18]],[[2,1,3],[3,1,3],[4,1,90],[4,2,3],[6,2,33],[8,2,108],[9,1,33],[12,1,216],[12,5,24],[18,2,315],[24,7,216],[36,1,648],[36,5,216]]
Center(GAP[72,7])=GAP[4,2]
DerivedSubgroup(GAP[72,7])=GAP[9,1]
PZ(GAP[72,7])=GAP[18,1]
PD(GAP[72,7])=GAP[8,2]

GAP[72,8]:
N0C1Nk=1,21,2,18,6,0,6,0,18,0,0,0,[[0,32],[1,40]],[[1,1,1],[2,1,1],[2,2,2],[2,18,18],[3,2,2],[4,18,18],[6,2,6],[9,2,6],[18,2,18]]
S2=0,21,3,75,87,108,33,186,477,216,702,648
kKEZDCANS=21,[2,17,0,0,0,0,0,0,2,0,0,0],36,2,18,0,0,0,1
I1I2=[[1,1,1],[2,1,21],[3,1,2],[4,1,18],[6,2,6],[9,1,6],[18,2,18]],[[2,1,21],[3,1,3],[4,1,45],[4,2,30],[6,1,54],[6,2,33],[8,3,108],[9,1,33],[12,1,108],[12,4,54],[12,5,24],[18,1,162],[18,2,315],[24,8,216],[36,1,
324],[36,4,162],[36,5,216]]
Center(GAP[72,8])=GAP[2,1]
DerivedSubgroup(GAP[72,8])=GAP[18,2]
PZ(GAP[72,8])=GAP[36,4]
PD(GAP[72,8])=GAP[4,2]

GAP[72,9]:
N0C1Nk=1,3,2,4,6,0,6,8,18,0,24,0,[[0,68],[1,4]],[[1,1,1],[2,1,3],[3,1,2],[4,1,4],[6,1,6],[9,1,6],[12,1,8],[18,1,18],[36,1,24]]
S2=0,3,3,13,33,12,33,116,315,96,1068,864
kKEZDCANS=72,[72,0,0,0,0,0,0,0,0,0,0,0],36,72,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,2],[4,1,4],[6,2,6],[9,1,6],[12,2,8],[18,2,18],[36,2,24]],[[2,1,3],[3,1,3],[4,1,10],[4,2,3],[6,2,33],[8,2,12],[9,1,33],[12,2,92],[12,5,24],[18,2,315],[24,9,96],[36,2,852],[36,5,216]]
Center(GAP[72,9])=GAP[72,9]
DerivedSubgroup(GAP[72,9])=GAP[1,1]
PZ(GAP[72,9])=GAP[1,1]
PD(GAP[72,9])=GAP[72,9]

GAP[72,10]:
N0C1Nk=1,5,2,2,10,0,6,4,30,0,12,0,[[0,64],[1,8]],[[1,1,1],[2,1,1],[2,2,4],[3,1,2],[4,2,2],[6,1,2],[6,2,8],[9,1,6],[12,2,4],[18,1,6],[18,2,24],[36,2,12]]
S2=0,5,3,11,55,12,33,94,525,96,858,864
kKEZDCANS=45,[18,27,0,0,0,0,0,0,0,0,0,0],36,18,2,0,0,1,1
I1I2=[[1,1,1],[2,1,5],[3,1,2],[4,1,2],[6,2,10],[9,1,6],[12,2,4],[18,2,30],[36,2,12]],[[2,1,5],[3,1,3],[4,1,5],[4,2,6],[6,2,55],[8,3,12],[9,1,33],[12,2,46],[12,5,48],[18,2,525],[24,10,96],[36,2,426],[36,5,432]]
Center(GAP[72,10])=GAP[18,2]
DerivedSubgroup(GAP[72,10])=GAP[2,1]
PZ(GAP[72,10])=GAP[4,2]
PD(GAP[72,10])=GAP[36,5]

GAP[72,11]:
N0C1Nk=1,1,2,6,2,0,6,12,6,0,36,0,[[0,64],[1,8]],[[1,1,1],[2,1,1],[3,1,2],[4,2,6],[6,1,2],[9,1,6],[12,2,12],[18,1,6],[36,2,36]]
S2=0,1,3,15,11,12,33,138,105,96,1278,864
kKEZDCANS=45,[18,27,0,0,0,0,0,0,0,0,0,0],36,18,2,0,0,1,1
I1I2=[[1,1,1],[2,1,1],[3,1,2],[4,1,6],[6,2,2],[9,1,6],[12,2,12],[18,2,6],[36,2,36]],[[2,1,1],[3,1,3],[4,1,15],[6,2,11],[8,4,12],[9,1,33],[12,2,138],[18,2,105],[24,11,96],[36,2,1278]]
Center(GAP[72,11])=GAP[18,2]
DerivedSubgroup(GAP[72,11])=GAP[2,1]
PZ(GAP[72,11])=GAP[4,2]
PD(GAP[72,11])=GAP[36,5]

GAP[72,12]:
N0C1Nk=1,1,8,2,8,12,0,16,0,24,0,0,[[0,70],[1,2]],[[1,1,1],[2,1,1],[3,1,2],[3,2,6],[4,1,2],[6,1,2],[6,2,6],[8,3,12],[12,1,4],[12,2,12],[24,3,24]]
S2=0,1,12,5,44,66,24,184,72,708,288,1152
kKEZDCANS=36,[12,12,12,0,0,0,0,0,0,0,0,0],24,12,3,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,8],[4,1,2],[6,2,8],[8,1,12],[12,2,16],[24,2,24]],[[2,1,1],[3,1,12],[4,1,5],[6,2,44],[8,1,66],[9,2,24],[12,2,184],[18,5,72],[24,1,144],[24,2,564],[36,8,288]]
Center(GAP[72,12])=GAP[12,2]
DerivedSubgroup(GAP[72,12])=GAP[3,1]
PZ(GAP[72,12])=GAP[6,1]
PD(GAP[72,12])=GAP[24,2]

GAP[72,14]:
N0C1Nk=1,1,8,2,8,4,0,16,0,32,0,0,[[0,70],[1,2]],[[1,1,1],[2,1,1],[3,1,8],[4,1,2],[6,1,8],[8,1,4],[12,1,16],[24,1,32]]
S2=0,1,12,5,44,22,24,184,72,752,288,1152
kKEZDCANS=72,[72,0,0,0,0,0,0,0,0,0,0,0],24,72,1,0,1,1,1
I1I2=[[1,1,1],[2,1,1],[3,1,8],[4,1,2],[6,2,8],[8,1,4],[12,2,16],[24,2,32]],[[2,1,1],[3,1,12],[4,1,5],[6,2,44],[8,1,22],[9,2,24],[12,2,184],[18,5,72],[24,2,752],[36,8,288]]
Center(GAP[72,14])=GAP[72,14]
DerivedSubgroup(GAP[72,14])=GAP[1,1]
PZ(GAP[72,14])=GAP[1,1]
PD(GAP[72,14])=GAP[72,14]

GAP[72,16]:
N0C1Nk=1,7,2,0,14,0,24,0,24,0,0,0,[[0,64],[1,8]],[[1,1,1],[2,1,1],[2,3,6],[3,1,2],[6,1,2],[6,3,12],[9,4,24],[18,4,24]]
S2=0,7,3,21,77,0,132,168,420,0,432,1296
kKEZDCANS=24,[6,0,6,12,0,0,0,0,0,0,0,0],18,6,4,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,2],[6,2,14],[9,1,24],[18,2,24]],[[2,1,7],[3,1,3],[4,2,21],[6,2,77],[9,1,132],[12,5,168],[18,2,420],[36,3,432]]
Center(GAP[72,16])=GAP[6,2]
DerivedSubgroup(GAP[72,16])=GAP[4,2]
PZ(GAP[72,16])=GAP[12,3]
PD(GAP[72,16])=GAP[18,2]

GAP[72,17]:
N0C1Nk=1,39,2,0,6,0,6,0,18,0,0,0,[[0,32],[1,40]],[[1,1,1],[2,1,3],[2,9,36],[3,2,2],[6,2,6],[9,2,6],[18,2,18]]
S2=0,39,3,165,141,0,33,348,639,0,1188,0
kKEZDCANS=24,[4,16,0,0,0,0,4,0,0,0,0,0],18,4,9,0,0,0,1
I1I2=[[1,1,1],[2,1,39],[3,1,2],[6,2,6],[9,1,6],[18,2,18]],[[2,1,39],[3,1,3],[4,2,165],[6,1,108],[6,2,33],[9,1,33],[12,4,324],[12,5,24],[18,1,324],[18,2,315],[36,4,972],[36,5,216]]
Center(GAP[72,17])=GAP[4,2]
DerivedSubgroup(GAP[72,17])=GAP[9,1]
PZ(GAP[72,17])=GAP[18,1]
PD(GAP[72,17])=GAP[8,5]

GAP[72,18]:
N0C1Nk=1,7,2,0,14,0,6,0,42,0,0,0,[[0,64],[1,8]],[[1,1,1],[2,1,7],[3,1,2],[6,1,14],[9,1,6],[18,1,42]]
S2=0,7,3,21,77,0,33,168,735,0,1512,0
kKEZDCANS=72,[72,0,0,0,0,0,0,0,0,0,0,0],18,72,1,0,1,1,1
I1I2=[[1,1,1],[2,1,7],[3,1,2],[6,2,14],[9,1,6],[18,2,42]],[[2,1,7],[3,1,3],[4,2,21],[6,2,77],[9,1,33],[12,5,168],[18,2,735],[36,5,1512]]
Center(GAP[72,18])=GAP[72,18]
DerivedSubgroup(GAP[72,18])=GAP[1,1]
PZ(GAP[72,18])=GAP[1,1]
PD(GAP[72,18])=GAP[72,18]

GAP[72,20]:
N0C1Nk=1,7,8,24,20,0,0,12,0,0,0,0,[[0,64],[1,8]],[[1,1,1],[2,1,1],[2,3,6],[3,2,4],[3,4,4],[4,3,6],[4,9,18],[6,2,4],[6,4,4],[6,6,12],[12,6,12]]
S2=0,7,12,69,128,108,24,696,216,432,432,432
kKEZDCANS=18,[2,4,4,2,4,0,2,0,0,0,0,0],12,2,9,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,8],[4,1,24],[6,2,20],[12,2,12]],[[2,1,7],[3,1,12],[4,1,60],[4,2,9],[6,1,18],[6,2,110],[8,2,108],[9,2,24],[12,1,468],[12,2,138],[12,4,18],[12,5,72],[18,3,144],[18,5,72],[24,5,216],[24,
7,216],[36,6,288],[36,12,144]]
Center(GAP[72,20])=GAP[2,1]
DerivedSubgroup(GAP[72,20])=GAP[9,2]
PZ(GAP[72,20])=GAP[36,10]
PD(GAP[72,20])=GAP[8,2]

GAP[72,23]:
N0C1Nk=1,25,8,6,20,0,0,12,0,0,0,0,[[0,40],[1,32]],[[1,1,1],[2,1,1],[2,6,6],[2,18,18],[3,2,4],[3,4,4],[4,6,6],[6,2,4],[6,4,4],[6,6,12],[12,6,12]]
S2=0,25,12,51,344,108,24,480,216,432,432,432
kKEZDCANS=15,[2,4,0,2,6,0,0,0,1,0,0,0],12,2,18,0,0,0,1
I1I2=[[1,1,1],[2,1,25],[3,1,8],[4,1,6],[6,2,20],[12,2,12]],[[2,1,25],[3,1,12],[4,1,15],[4,2,36],[6,1,234],[6,2,110],[8,3,108],[9,2,24],[12,1,36],[12,2,138],[12,4,234],[12,5,72],[18,3,144],[18,5,72],[24,6,216],[
24,8,216],[36,6,288],[36,12,144]]
Center(GAP[72,23])=GAP[2,1]
DerivedSubgroup(GAP[72,23])=GAP[18,5]
PZ(GAP[72,23])=GAP[36,10]
PD(GAP[72,23])=GAP[4,2]

GAP[72,25]:
N0C1Nk=1,1,26,6,26,0,0,12,0,0,0,0,[[0,64],[1,8]],[[1,1,1],[2,1,1],[3,1,2],[3,4,24],[4,6,6],[6,1,2],[6,4,24],[12,6,12]]
S2=0,1,39,15,143,12,96,138,288,672,0,1152
kKEZDCANS=21,[6,0,0,12,3,0,0,0,0,0,0,0],12,6,8,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,26],[4,1,6],[6,2,26],[12,2,12]],[[2,1,1],[3,1,39],[4,1,15],[6,2,143],[8,4,12],[9,2,96],[12,2,138],[18,5,288],[24,3,576],[24,11,96]]
Center(GAP[72,25])=GAP[6,2]
DerivedSubgroup(GAP[72,25])=GAP[8,4]
PZ(GAP[72,25])=GAP[12,3]
PD(GAP[72,25])=GAP[9,2]

GAP[72,26]:
N0C1Nk=1,1,8,14,8,0,0,40,0,0,0,0,[[0,56],[1,16]],[[1,1,1],[2,1,1],[3,1,2],[3,2,6],[4,2,2],[4,6,12],[6,1,2],[6,2,6],[12,2,16],[12,6,24]]
S2=0,1,12,35,44,36,24,532,72,360,864,576
kKEZDCANS=27,[6,15,0,0,6,0,0,0,0,0,0,0],12,6,6,0,0,0,1
I1I2=[[1,1,1],[2,1,1],[3,1,8],[4,1,14],[6,2,8],[12,2,40]],[[2,1,1],[3,1,12],[4,1,35],[6,2,44],[8,4,36],[9,2,24],[12,1,72],[12,2,460],[18,5,72],[24,4,72],[24,11,288],[36,6,576],[36,8,288]]
Center(GAP[72,26])=GAP[6,2]
DerivedSubgroup(GAP[72,26])=GAP[6,2]
PZ(GAP[72,26])=GAP[12,4]
PD(GAP[72,26])=GAP[12,5]

GAP[72,27]:
N0C1Nk=1,7,8,8,20,0,0,28,0,0,0,0,[[0,64],[1,8]],[[1,1,1],[2,1,1],[2,3,6],[3,1,2],[3,2,6],[4,1,2],[4,3,6],[6,1,2],[6,2,6],[6,3,12],[12,1,4],[12,2,12],[12,3,12]]
S2=0,7,12,29,128,36,24,448,216,360,720,576
kKEZDCANS=36,[12,12,12,0,0,0,0,0,0,0,0,0],12,12,3,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,8],[4,1,8],[6,2,20],[12,2,28]],[[2,1,7],[3,1,12],[4,1,20],[4,2,9],[6,1,18],[6,2,110],[8,2,36],[9,2,24],[12,1,36],[12,2,322],[12,4,18],[12,5,72],[18,3,144],[18,5,72],[24,5,72],[24,9,28
8],[36,6,288],[36,8,288],[36,12,144]]
Center(GAP[72,27])=GAP[12,2]
DerivedSubgroup(GAP[72,27])=GAP[3,1]
PZ(GAP[72,27])=GAP[6,1]
PD(GAP[72,27])=GAP[24,9]

GAP[72,28]:
N0C1Nk=1,13,8,2,32,0,0,16,0,0,0,0,[[0,56],[1,16]],[[1,1,1],[2,1,1],[2,6,12],[3,1,2],[3,2,6],[4,2,2],[6,1,2],[6,2,6],[6,6,24],[12,2,16]]
S2=0,13,12,23,212,36,24,364,360,360,576,576
kKEZDCANS=27,[6,15,0,0,6,0,0,0,0,0,0,0],12,6,6,0,0,0,1
I1I2=[[1,1,1],[2,1,13],[3,1,8],[4,1,2],[6,2,32],[12,2,16]],[[2,1,13],[3,1,12],[4,1,5],[4,2,18],[6,1,36],[6,2,176],[8,3,36],[9,2,24],[12,2,184],[12,4,36],[12,5,144],[18,3,288],[18,5,72],[24,6,72],[24,10,288],[36
,8,288],[36,12,288]]
Center(GAP[72,28])=GAP[6,2]
DerivedSubgroup(GAP[72,28])=GAP[6,2]
PZ(GAP[72,28])=GAP[12,4]
PD(GAP[72,28])=GAP[12,5]

GAP[72,29]:
N0C1Nk=1,3,8,12,24,0,0,24,0,0,0,0,[[0,68],[1,4]],[[1,1,1],[2,1,3],[3,1,2],[3,2,6],[4,3,12],[6,1,6],[6,2,18],[12,3,24]]
S2=0,3,12,33,132,36,24,444,216,360,720,576
kKEZDCANS=36,[12,12,12,0,0,0,0,0,0,0,0,0],12,12,3,0,0,0,1
I1I2=[[1,1,1],[2,1,3],[3,1,8],[4,1,12],[6,2,24],[12,2,24]],[[2,1,3],[3,1,12],[4,1,30],[4,2,3],[6,2,132],[8,2,36],[9,2,24],[12,1,72],[12,2,276],[12,5,96],[18,5,216],[24,7,72],[24,9,288],[36,6,576],[36,14,144]]
Center(GAP[72,29])=GAP[12,5]
DerivedSubgroup(GAP[72,29])=GAP[3,1]
PZ(GAP[72,29])=GAP[6,1]
PD(GAP[72,29])=GAP[24,9]

GAP[72,30]:
N0C1Nk=1,9,8,6,36,0,0,12,0,0,0,0,[[0,56],[1,16]],[[1,1,1],[2,1,1],[2,2,2],[2,6,6],[3,1,2],[3,2,6],[4,6,6],[6,1,2],[6,2,22],[6,6,12],[12,6,12]]
S2=0,9,12,27,216,36,24,360,360,360,576,576
kKEZDCANS=27,[6,15,0,0,6,0,0,0,0,0,0,0],12,6,6,0,0,0,1
I1I2=[[1,1,1],[2,1,9],[3,1,8],[4,1,6],[6,2,36],[12,2,12]],[[2,1,9],[3,1,12],[4,1,15],[4,2,12],[6,1,18],[6,2,198],[8,3,36],[9,2,24],[12,1,36],[12,2,138],[12,4,18],[12,5,168],[18,3,144],[18,5,216],[24,8,72],[24,1
0,288],[36,6,288],[36,12,144],[36,14,144]]
Center(GAP[72,30])=GAP[6,2]
DerivedSubgroup(GAP[72,30])=GAP[6,2]
PZ(GAP[72,30])=GAP[12,4]
PD(GAP[72,30])=GAP[12,5]

GAP[72,32]:
N0C1Nk=1,19,8,20,8,0,0,16,0,0,0,0,[[0,52],[1,20]],[[1,1,1],[2,1,1],[2,9,18],[3,2,8],[4,1,2],[4,9,18],[6,2,8],[12,2,16]]
S2=0,19,12,77,260,108,24,832,72,864,288,0
kKEZDCANS=24,[4,16,0,0,0,0,4,0,0,0,0,0],12,4,9,0,0,0,1
I1I2=[[1,1,1],[2,1,19],[3,1,8],[4,1,20],[6,2,8],[12,2,16]],[[2,1,19],[3,1,12],[4,1,50],[4,2,27],[6,1,216],[6,2,44],[8,2,108],[9,2,24],[12,1,432],[12,2,184],[12,4,216],[18,5,72],[24,5,864],[36,8,288]]
Center(GAP[72,32])=GAP[4,1]
DerivedSubgroup(GAP[72,32])=GAP[9,2]
PZ(GAP[72,32])=GAP[18,4]
PD(GAP[72,32])=GAP[8,2]

GAP[72,34]:
N0C1Nk=1,3,8,36,24,0,0,0,0,0,0,0,[[0,68],[1,4]],[[1,1,1],[2,1,3],[3,2,8],[4,9,36],[6,2,24]]
S2=0,3,12,93,132,108,24,960,216,864,144,0
kKEZDCANS=24,[4,16,0,0,0,0,4,0,0,0,0,0],12,4,9,0,0,0,1
I1I2=[[1,1,1],[2,1,3],[3,1,8],[4,1,36],[6,2,24]],[[2,1,3],[3,1,12],[4,1,90],[4,2,3],[6,2,132],[8,2,108],[9,2,24],[12,1,864],[12,5,96],[18,5,216],[24,7,864],[36,14,144]]
Center(GAP[72,34])=GAP[4,2]
DerivedSubgroup(GAP[72,34])=GAP[9,2]
PZ(GAP[72,34])=GAP[18,4]
PD(GAP[72,34])=GAP[8,2]

GAP[72,35]:
N0C1Nk=1,21,8,18,24,0,0,0,0,0,0,0,[[0,32],[1,40]],[[1,1,1],[2,1,1],[2,2,2],[2,18,18],[3,2,8],[4,18,18],[6,2,24]]
S2=0,21,12,75,348,108,24,744,216,864,144,0
kKEZDCANS=21,[2,17,0,0,0,0,0,0,2,0,0,0],12,2,18,0,0,0,1
I1I2=[[1,1,1],[2,1,21],[3,1,8],[4,1,18],[6,2,24]],[[2,1,21],[3,1,12],[4,1,45],[4,2,30],[6,1,216],[6,2,132],[8,3,108],[9,2,24],[12,1,432],[12,4,216],[12,5,96],[18,5,216],[24,8,864],[36,14,144]]
Center(GAP[72,35])=GAP[2,1]
DerivedSubgroup(GAP[72,35])=GAP[18,5]
PZ(GAP[72,35])=GAP[36,13]
PD(GAP[72,35])=GAP[4,2]

GAP[72,36]:
N0C1Nk=1,3,8,4,24,0,0,32,0,0,0,0,[[0,68],[1,4]],[[1,1,1],[2,1,3],[3,1,8],[4,1,4],[6,1,24],[12,1,32]]
S2=0,3,12,13,132,12,24,464,216,384,720,576
kKEZDCANS=72,[72,0,0,0,0,0,0,0,0,0,0,0],12,72,1,0,1,1,1
I1I2=[[1,1,1],[2,1,3],[3,1,8],[4,1,4],[6,2,24],[12,2,32]],[[2,1,3],[3,1,12],[4,1,10],[4,2,3],[6,2,132],[8,2,12],[9,2,24],[12,2,368],[12,5,96],[18,5,216],[24,9,384],[36,8,576],[36,14,144]]
Center(GAP[72,36])=GAP[72,36]
DerivedSubgroup(GAP[72,36])=GAP[1,1]
PZ(GAP[72,36])=GAP[1,1]
PD(GAP[72,36])=GAP[72,36]

GAP[72,37]:
N0C1Nk=1,5,8,2,40,0,0,16,0,0,0,0,[[0,64],[1,8]],[[1,1,1],[2,1,1],[2,2,4],[3,1,8],[4,2,2],[6,1,8],[6,2,32],[12,2,16]]
S2=0,5,12,11,220,12,24,376,360,384,576,576
kKEZDCANS=45,[18,27,0,0,0,0,0,0,0,0,0,0],12,18,2,0,0,1,1
I1I2=[[1,1,1],[2,1,5],[3,1,8],[4,1,2],[6,2,40],[12,2,16]],[[2,1,5],[3,1,12],[4,1,5],[4,2,6],[6,2,220],[8,3,12],[9,2,24],[12,2,184],[12,5,192],[18,5,360],[24,10,384],[36,8,288],[36,14,288]]
Center(GAP[72,37])=GAP[18,5]
DerivedSubgroup(GAP[72,37])=GAP[2,1]
PZ(GAP[72,37])=GAP[4,2]
PD(GAP[72,37])=GAP[36,14]

GAP[72,38]:
N0C1Nk=1,1,8,6,8,0,0,48,0,0,0,0,[[0,64],[1,8]],[[1,1,1],[2,1,1],[3,1,8],[4,2,6],[6,1,8],[12,2,48]]
S2=0,1,12,15,44,12,24,552,72,384,864,576
kKEZDCANS=45,[18,27,0,0,0,0,0,0,0,0,0,0],12,18,2,0,0,1,1
I1I2=[[1,1,1],[2,1,1],[3,1,8],[4,1,6],[6,2,8],[12,2,48]],[[2,1,1],[3,1,12],[4,1,15],[6,2,44],[8,4,12],[9,2,24],[12,2,552],[18,5,72],[24,11,384],[36,8,864]]
Center(GAP[72,38])=GAP[18,5]
DerivedSubgroup(GAP[72,38])=GAP[2,1]
PZ(GAP[72,38])=GAP[4,2]
PD(GAP[72,38])=GAP[36,14]

GAP[72,39]:
N0C1Nk=1,9,8,18,0,36,0,0,0,0,0,0,[[0,62],[1,10]],[[1,1,1],[2,9,9],[3,8,8],[4,9,18],[8,9,36]]
S2=0,9,12,45,108,198,24,0,0,0,432,1728
kKEZDCANS=9,[1,0,0,0,0,1,7,0,0,0,0,0],24,1,9,0,0,0,1
I1I2=[[1,1,1],[2,1,9],[3,1,8],[4,1,18],[8,1,36]],[[2,1,9],[3,1,12],[4,1,45],[6,1,108],[8,1,198],[9,2,24],[36,9,432]]
Center(GAP[72,39])=GAP[1,1]
DerivedSubgroup(GAP[72,39])=GAP[9,2]
PZ(GAP[72,39])=GAP[72,39]
PD(GAP[72,39])=GAP[8,1]

GAP[72,40]:
N0C1Nk=1,21,8,18,24,0,0,0,0,0,0,0,[[0,32],[1,40]],[[1,1,1],[2,6,12],[2,9,9],[3,4,8],[4,18,18],[6,12,24]]
S2=0,21,12,99,276,108,24,216,288,0,648,864
kKEZDCANS=9,[1,0,0,2,2,0,1,2,1,0,0,0],12,1,18,0,0,0,1
I1I2=[[1,1,1],[2,1,21],[3,1,8],[4,1,18],[6,2,24]],[[2,1,21],[3,1,12],[4,1,45],[4,2,54],[6,1,144],[6,2,132],[8,3,108],[9,2,24],[12,4,216],[18,3,288],[36,9,432],[36,10,216]]
Center(GAP[72,40])=GAP[1,1]
DerivedSubgroup(GAP[72,40])=GAP[18,4]
PZ(GAP[72,40])=GAP[72,40]
PD(GAP[72,40])=GAP[4,2]

GAP[72,41]:
N0C1Nk=1,9,8,54,0,0,0,0,0,0,0,0,[[0,8],[1,64]],[[1,1,1],[2,9,9],[3,8,8],[4,18,54]]
S2=0,9,12,135,108,108,24,0,0,0,1296,864
kKEZDCANS=6,[1,0,0,0,0,1,1,0,3,0,0,0],12,1,18,0,0,0,1
I1I2=[[1,1,1],[2,1,9],[3,1,8],[4,1,54]],[[2,1,9],[3,1,12],[4,1,135],[6,1,108],[8,4,108],[9,2,24],[36,9,1296]]
Center(GAP[72,41])=GAP[1,1]
DerivedSubgroup(GAP[72,41])=GAP[18,4]
PZ(GAP[72,41])=GAP[72,41]
PD(GAP[72,41])=GAP[4,2]

GAP[72,42]:
N0C1Nk=1,9,26,6,18,0,0,12,0,0,0,0,[[0,56],[1,16]],[[1,1,1],[2,3,3],[2,6,6],[3,1,2],[3,8,24],[4,6,6],[6,3,6],[6,6,12],[12,6,12]]
S2=0,9,39,27,135,36,96,378,288,396,288,864
kKEZDCANS=15,[3,0,3,0,6,3,0,0,0,0,0,0],12,3,12,0,0,0,1
I1I2=[[1,1,1],[2,1,9],[3,1,26],[4,1,6],[6,2,18],[12,2,12]],[[2,1,9],[3,1,39],[4,1,15],[4,2,12],[6,1,36],[6,2,99],[8,3,36],[9,2,96],[12,2,138],[12,3,144],[12,5,96],[18,3,288],[24,10,288],[24,12,108],[36,11,288]]

Center(GAP[72,42])=GAP[3,1]
DerivedSubgroup(GAP[72,42])=GAP[12,3]
PZ(GAP[72,42])=GAP[24,12]
PD(GAP[72,42])=GAP[6,2]

GAP[72,44]:
N0C1Nk=1,15,26,0,30,0,0,0,0,0,0,0,[[0,56],[1,16]],[[1,1,1],[2,3,6],[2,9,9],[3,2,2],[3,4,8],[3,8,16],[6,6,6],[6,12,24]]
S2=0,15,39,57,201,0,96,276,288,432,288,864
kKEZDCANS=12,[1,1,2,2,1,2,1,2,0,0,0,0],6,1,12,0,0,0,1
I1I2=[[1,1,1],[2,1,15],[3,1,26],[6,2,30]],[[2,1,15],[3,1,39],[4,2,57],[6,1,36],[6,2,165],[9,2,96],[12,3,144],[12,4,108],[12,5,24],[18,3,288],[24,13,432],[36,11,288]]
Center(GAP[72,44])=GAP[1,1]
DerivedSubgroup(GAP[72,44])=GAP[12,5]
PZ(GAP[72,44])=GAP[72,44]
PD(GAP[72,44])=GAP[6,2]

GAP[72,45]:
N0C1Nk=1,19,8,36,8,0,0,0,0,0,0,0,[[0,52],[1,20]],[[1,1,1],[2,1,1],[2,9,18],[3,4,8],[4,9,36],[6,4,8]]
S2=0,19,12,117,260,108,24,216,72,0,864,864
kKEZDCANS=12,[2,0,0,4,0,0,6,0,0,0,0,0],12,2,9,0,0,0,1
I1I2=[[1,1,1],[2,1,19],[3,1,8],[4,1,36],[6,2,8]],[[2,1,19],[3,1,12],[4,1,90],[4,2,27],[6,1,216],[6,2,44],[8,2,108],[9,2,24],[12,4,216],[18,5,72],[36,9,864]]
Center(GAP[72,45])=GAP[2,1]
DerivedSubgroup(GAP[72,45])=GAP[9,2]
PZ(GAP[72,45])=GAP[36,9]
PD(GAP[72,45])=GAP[8,2]

GAP[72,46]:
N0C1Nk=1,31,8,0,32,0,0,0,0,0,0,0,[[0,40],[1,32]],[[1,1,1],[2,1,1],[2,3,12],[2,9,18],[3,2,4],[3,4,4],[6,2,4],[6,4,4],[6,6,24]]
S2=0,31,12,153,428,0,24,828,360,0,720,0
kKEZDCANS=18,[2,4,4,2,4,0,2,0,0,0,0,0],6,2,9,0,0,0,1
I1I2=[[1,1,1],[2,1,31],[3,1,8],[6,2,32]],[[2,1,31],[3,1,12],[4,2,153],[6,1,252],[6,2,176],[9,2,24],[12,4,684],[12,5,144],[18,3,288],[18,5,72],[36,10,432],[36,12,288]]
Center(GAP[72,46])=GAP[2,1]
DerivedSubgroup(GAP[72,46])=GAP[9,2]
PZ(GAP[72,46])=GAP[36,10]
PD(GAP[72,46])=GAP[8,5]

GAP[72,47]:
N0C1Nk=1,7,26,0,38,0,0,0,0,0,0,0,[[0,64],[1,8]],[[1,1,1],[2,1,1],[2,3,6],[3,1,2],[3,4,24],[6,1,2],[6,3,12],[6,4,24]]
S2=0,7,39,21,209,0,96,312,288,432,288,864
kKEZDCANS=24,[6,0,6,12,0,0,0,0,0,0,0,0],6,6,4,0,0,0,1
I1I2=[[1,1,1],[2,1,7],[3,1,26],[6,2,38]],[[2,1,7],[3,1,39],[4,2,21],[6,2,209],[9,2,96],[12,3,144],[12,5,168],[18,5,288],[24,13,432],[36,11,288]]
Center(GAP[72,47])=GAP[6,2]
DerivedSubgroup(GAP[72,47])=GAP[4,2]
PZ(GAP[72,47])=GAP[12,3]
PD(GAP[72,47])=GAP[18,5]

GAP[72,48]:
N0C1Nk=1,15,8,0,48,0,0,0,0,0,0,0,[[0,56],[1,16]],[[1,1,1],[2,1,3],[2,3,12],[3,1,2],[3,2,6],[6,1,6],[6,2,18],[6,3,24]]
S2=0,15,12,57,300,0,24,636,504,0,1008,0
kKEZDCANS=36,[12,12,12,0,0,0,0,0,0,0,0,0],6,12,3,0,0,0,1
I1I2=[[1,1,1],[2,1,15],[3,1,8],[6,2,48]],[[2,1,15],[3,1,12],[4,2,57],[6,1,36],[6,2,264],[9,2,24],[12,4,108],[12,5,528],[18,3,288],[18,5,216],[36,12,864],[36,14,144]]
Center(GAP[72,48])=GAP[12,5]
DerivedSubgroup(GAP[72,48])=GAP[3,1]
PZ(GAP[72,48])=GAP[6,1]
PD(GAP[72,48])=GAP[24,15]

GAP[72,49]:
N0C1Nk=1,39,8,0,24,0,0,0,0,0,0,0,[[0,32],[1,40]],[[1,1,1],[2,1,3],[2,9,36],[3,2,8],[6,2,24]]
S2=0,39,12,165,564,0,24,1392,216,0,144,0
kKEZDCANS=24,[4,16,0,0,0,0,4,0,0,0,0,0],6,4,9,0,0,0,1
I1I2=[[1,1,1],[2,1,39],[3,1,8],[6,2,24]],[[2,1,39],[3,1,12],[4,2,165],[6,1,432],[6,2,132],[9,2,24],[12,4,1296],[12,5,96],[18,5,216],[36,14,144]]
Center(GAP[72,49])=GAP[4,2]
DerivedSubgroup(GAP[72,49])=GAP[9,2]
PZ(GAP[72,49])=GAP[18,4]
PD(GAP[72,49])=GAP[8,5]

GAP[72,50]:
N0C1Nk=1,7,8,0,56,0,0,0,0,0,0,0,[[0,64],[1,8]],[[1,1,1],[2,1,7],[3,1,8],[6,1,56]]
S2=0,7,12,21,308,0,24,672,504,0,1008,0
kKEZDCANS=72,[72,0,0,0,0,0,0,0,0,0,0,0],6,72,1,0,1,1,1
I1I2=[[1,1,1],[2,1,7],[3,1,8],[6,2,56]],[[2,1,7],[3,1,12],[4,2,21],[6,2,308],[9,2,24],[12,5,672],[18,5,504],[36,14,1008]]
Center(GAP[72,50])=GAP[72,50]
DerivedSubgroup(GAP[72,50])=GAP[1,1]
PZ(GAP[72,50])=GAP[1,1]
PD(GAP[72,50])=GAP[72,50]

D:\MathTool\gaptool>