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>