Extensions 1→N→G→Q→1 with N=C4 and Q=C4oD12

Direct product G=NxQ with N=C4 and Q=C4oD12
dρLabelID
C4xC4oD1296C4xC4oD12192,1033

Semidirect products G=N:Q with N=C4 and Q=C4oD12
extensionφ:Q→Aut NdρLabelID
C4:1(C4oD12) = Dic6:24D4φ: C4oD12/Dic6C2 ⊆ Aut C496C4:1(C4oD12)192,1112
C4:2(C4oD12) = C42.228D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4:2(C4oD12)192,1107
C4:3(C4oD12) = D12:24D4φ: C4oD12/D12C2 ⊆ Aut C496C4:3(C4oD12)192,1110
C4:4(C4oD12) = C6.2- 1+4φ: C4oD12/C3:D4C2 ⊆ Aut C496C4:4(C4oD12)192,1066
C4:5(C4oD12) = C42.276D6φ: C4oD12/C2xC12C2 ⊆ Aut C496C4:5(C4oD12)192,1036

Non-split extensions G=N.Q with N=C4 and Q=C4oD12
extensionφ:Q→Aut NdρLabelID
C4.1(C4oD12) = Dic6:2D4φ: C4oD12/Dic6C2 ⊆ Aut C496C4.1(C4oD12)192,321
C4.2(C4oD12) = Dic6.D4φ: C4oD12/Dic6C2 ⊆ Aut C496C4.2(C4oD12)192,326
C4.3(C4oD12) = D12:3D4φ: C4oD12/Dic6C2 ⊆ Aut C496C4.3(C4oD12)192,345
C4.4(C4oD12) = D12.D4φ: C4oD12/Dic6C2 ⊆ Aut C496C4.4(C4oD12)192,346
C4.5(C4oD12) = Dic3:Q16φ: C4oD12/Dic6C2 ⊆ Aut C4192C4.5(C4oD12)192,354
C4.6(C4oD12) = Dic6.11D4φ: C4oD12/Dic6C2 ⊆ Aut C496C4.6(C4oD12)192,357
C4.7(C4oD12) = Dic3:SD16φ: C4oD12/Dic6C2 ⊆ Aut C496C4.7(C4oD12)192,377
C4.8(C4oD12) = D12.12D4φ: C4oD12/Dic6C2 ⊆ Aut C496C4.8(C4oD12)192,378
C4.9(C4oD12) = C12:7D8φ: C4oD12/Dic6C2 ⊆ Aut C496C4.9(C4oD12)192,574
C4.10(C4oD12) = D4.1D12φ: C4oD12/Dic6C2 ⊆ Aut C496C4.10(C4oD12)192,575
C4.11(C4oD12) = D4.2D12φ: C4oD12/Dic6C2 ⊆ Aut C496C4.11(C4oD12)192,578
C4.12(C4oD12) = Q8:2D12φ: C4oD12/Dic6C2 ⊆ Aut C496C4.12(C4oD12)192,586
C4.13(C4oD12) = Q8.6D12φ: C4oD12/Dic6C2 ⊆ Aut C496C4.13(C4oD12)192,587
C4.14(C4oD12) = C12:7Q16φ: C4oD12/Dic6C2 ⊆ Aut C4192C4.14(C4oD12)192,590
C4.15(C4oD12) = C42.106D6φ: C4oD12/Dic6C2 ⊆ Aut C496C4.15(C4oD12)192,1101
C4.16(C4oD12) = C42.114D6φ: C4oD12/Dic6C2 ⊆ Aut C496C4.16(C4oD12)192,1118
C4.17(C4oD12) = Dic6:10Q8φ: C4oD12/Dic6C2 ⊆ Aut C4192C4.17(C4oD12)192,1126
C4.18(C4oD12) = C42.122D6φ: C4oD12/Dic6C2 ⊆ Aut C496C4.18(C4oD12)192,1127
C4.19(C4oD12) = C42.136D6φ: C4oD12/Dic6C2 ⊆ Aut C496C4.19(C4oD12)192,1144
C4.20(C4oD12) = Dic3.SD16φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.20(C4oD12)192,319
C4.21(C4oD12) = C4:C4.D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.21(C4oD12)192,323
C4.22(C4oD12) = C12:Q8:C2φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.22(C4oD12)192,324
C4.23(C4oD12) = (C2xC8).200D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.23(C4oD12)192,327
C4.24(C4oD12) = D6:D8φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.24(C4oD12)192,334
C4.25(C4oD12) = D6:SD16φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.25(C4oD12)192,337
C4.26(C4oD12) = C3:C8:1D4φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.26(C4oD12)192,339
C4.27(C4oD12) = C3:C8:D4φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.27(C4oD12)192,341
C4.28(C4oD12) = Dic3.1Q16φ: C4oD12/C4xS3C2 ⊆ Aut C4192C4.28(C4oD12)192,351
C4.29(C4oD12) = (C2xC8).D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.29(C4oD12)192,353
C4.30(C4oD12) = (C2xQ8).36D6φ: C4oD12/C4xS3C2 ⊆ Aut C4192C4.30(C4oD12)192,356
C4.31(C4oD12) = Q8:C4:S3φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.31(C4oD12)192,359
C4.32(C4oD12) = D6:2SD16φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.32(C4oD12)192,366
C4.33(C4oD12) = C3:(C8:D4)φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.33(C4oD12)192,371
C4.34(C4oD12) = D6:1Q16φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.34(C4oD12)192,372
C4.35(C4oD12) = C3:C8.D4φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.35(C4oD12)192,375
C4.36(C4oD12) = C4xD4:S3φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.36(C4oD12)192,572
C4.37(C4oD12) = C42.48D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.37(C4oD12)192,573
C4.38(C4oD12) = C4xD4.S3φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.38(C4oD12)192,576
C4.39(C4oD12) = C42.51D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.39(C4oD12)192,577
C4.40(C4oD12) = C4xQ8:2S3φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.40(C4oD12)192,584
C4.41(C4oD12) = C42.56D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.41(C4oD12)192,585
C4.42(C4oD12) = C4xC3:Q16φ: C4oD12/C4xS3C2 ⊆ Aut C4192C4.42(C4oD12)192,588
C4.43(C4oD12) = C42.59D6φ: C4oD12/C4xS3C2 ⊆ Aut C4192C4.43(C4oD12)192,589
C4.44(C4oD12) = C42.229D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.44(C4oD12)192,1116
C4.45(C4oD12) = C42.115D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.45(C4oD12)192,1120
C4.46(C4oD12) = C42.116D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.46(C4oD12)192,1121
C4.47(C4oD12) = C42.232D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.47(C4oD12)192,1137
C4.48(C4oD12) = C42.131D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.48(C4oD12)192,1139
C4.49(C4oD12) = C42.133D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.49(C4oD12)192,1141
C4.50(C4oD12) = C42.134D6φ: C4oD12/C4xS3C2 ⊆ Aut C496C4.50(C4oD12)192,1142
C4.51(C4oD12) = D6.D8φ: C4oD12/D12C2 ⊆ Aut C496C4.51(C4oD12)192,333
C4.52(C4oD12) = D6.SD16φ: C4oD12/D12C2 ⊆ Aut C496C4.52(C4oD12)192,336
C4.53(C4oD12) = D6:C8:11C2φ: C4oD12/D12C2 ⊆ Aut C496C4.53(C4oD12)192,338
C4.54(C4oD12) = C24:1C4:C2φ: C4oD12/D12C2 ⊆ Aut C496C4.54(C4oD12)192,343
C4.55(C4oD12) = D6.1SD16φ: C4oD12/D12C2 ⊆ Aut C496C4.55(C4oD12)192,364
C4.56(C4oD12) = D6.Q16φ: C4oD12/D12C2 ⊆ Aut C496C4.56(C4oD12)192,370
C4.57(C4oD12) = D6:C8.C2φ: C4oD12/D12C2 ⊆ Aut C496C4.57(C4oD12)192,373
C4.58(C4oD12) = C8:Dic3:C2φ: C4oD12/D12C2 ⊆ Aut C496C4.58(C4oD12)192,374
C4.59(C4oD12) = C12.50D8φ: C4oD12/D12C2 ⊆ Aut C496C4.59(C4oD12)192,566
C4.60(C4oD12) = C12.38SD16φ: C4oD12/D12C2 ⊆ Aut C496C4.60(C4oD12)192,567
C4.61(C4oD12) = D4.3Dic6φ: C4oD12/D12C2 ⊆ Aut C496C4.61(C4oD12)192,568
C4.62(C4oD12) = Q8:4Dic6φ: C4oD12/D12C2 ⊆ Aut C4192C4.62(C4oD12)192,579
C4.63(C4oD12) = Q8:5Dic6φ: C4oD12/D12C2 ⊆ Aut C4192C4.63(C4oD12)192,580
C4.64(C4oD12) = Q8.5Dic6φ: C4oD12/D12C2 ⊆ Aut C4192C4.64(C4oD12)192,581
C4.65(C4oD12) = C42.113D6φ: C4oD12/D12C2 ⊆ Aut C496C4.65(C4oD12)192,1117
C4.66(C4oD12) = C42.117D6φ: C4oD12/D12C2 ⊆ Aut C496C4.66(C4oD12)192,1122
C4.67(C4oD12) = D12:10Q8φ: C4oD12/D12C2 ⊆ Aut C496C4.67(C4oD12)192,1138
C4.68(C4oD12) = C42.132D6φ: C4oD12/D12C2 ⊆ Aut C496C4.68(C4oD12)192,1140
C4.69(C4oD12) = C42.135D6φ: C4oD12/D12C2 ⊆ Aut C496C4.69(C4oD12)192,1143
C4.70(C4oD12) = Dic6:Q8φ: C4oD12/C3:D4C2 ⊆ Aut C4192C4.70(C4oD12)192,413
C4.71(C4oD12) = Dic6.Q8φ: C4oD12/C3:D4C2 ⊆ Aut C4192C4.71(C4oD12)192,416
C4.72(C4oD12) = D6.2SD16φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.72(C4oD12)192,421
C4.73(C4oD12) = D6.4SD16φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.73(C4oD12)192,422
C4.74(C4oD12) = C4.Q8:S3φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.74(C4oD12)192,425
C4.75(C4oD12) = C6.(C4oD8)φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.75(C4oD12)192,427
C4.76(C4oD12) = D12:Q8φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.76(C4oD12)192,429
C4.77(C4oD12) = D12.Q8φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.77(C4oD12)192,430
C4.78(C4oD12) = Dic3.Q16φ: C4oD12/C3:D4C2 ⊆ Aut C4192C4.78(C4oD12)192,434
C4.79(C4oD12) = Dic6.2Q8φ: C4oD12/C3:D4C2 ⊆ Aut C4192C4.79(C4oD12)192,436
C4.80(C4oD12) = D6.5D8φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.80(C4oD12)192,441
C4.81(C4oD12) = D6.2Q16φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.81(C4oD12)192,443
C4.82(C4oD12) = C2.D8:S3φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.82(C4oD12)192,444
C4.83(C4oD12) = C2.D8:7S3φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.83(C4oD12)192,447
C4.84(C4oD12) = D12:2Q8φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.84(C4oD12)192,449
C4.85(C4oD12) = D12.2Q8φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.85(C4oD12)192,450
C4.86(C4oD12) = (C2xC6).40D8φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.86(C4oD12)192,526
C4.87(C4oD12) = C4:C4.228D6φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.87(C4oD12)192,527
C4.88(C4oD12) = C4:C4.230D6φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.88(C4oD12)192,529
C4.89(C4oD12) = C4:C4.231D6φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.89(C4oD12)192,530
C4.90(C4oD12) = C4:C4.233D6φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.90(C4oD12)192,555
C4.91(C4oD12) = C4:C4.236D6φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.91(C4oD12)192,562
C4.92(C4oD12) = C6.102+ 1+4φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.92(C4oD12)192,1070
C4.93(C4oD12) = C6.52- 1+4φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.93(C4oD12)192,1072
C4.94(C4oD12) = C6.112+ 1+4φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.94(C4oD12)192,1073
C4.95(C4oD12) = C42.94D6φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.95(C4oD12)192,1088
C4.96(C4oD12) = C42.95D6φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.96(C4oD12)192,1089
C4.97(C4oD12) = C42.97D6φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.97(C4oD12)192,1091
C4.98(C4oD12) = C42.98D6φ: C4oD12/C3:D4C2 ⊆ Aut C496C4.98(C4oD12)192,1092
C4.99(C4oD12) = C12.14Q16φ: C4oD12/C2xC12C2 ⊆ Aut C4192C4.99(C4oD12)192,240
C4.100(C4oD12) = C4xC24:C2φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.100(C4oD12)192,250
C4.101(C4oD12) = C4xD24φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.101(C4oD12)192,251
C4.102(C4oD12) = C4.5D24φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.102(C4oD12)192,253
C4.103(C4oD12) = C42.264D6φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.103(C4oD12)192,256
C4.104(C4oD12) = C4xDic12φ: C4oD12/C2xC12C2 ⊆ Aut C4192C4.104(C4oD12)192,257
C4.105(C4oD12) = C42.14D6φ: C4oD12/C2xC12C2 ⊆ Aut C4192C4.105(C4oD12)192,262
C4.106(C4oD12) = C42.16D6φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.106(C4oD12)192,269
C4.107(C4oD12) = D24:C4φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.107(C4oD12)192,270
C4.108(C4oD12) = C42.19D6φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.108(C4oD12)192,272
C4.109(C4oD12) = C42.20D6φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.109(C4oD12)192,273
C4.110(C4oD12) = Dic12:C4φ: C4oD12/C2xC12C2 ⊆ Aut C4192C4.110(C4oD12)192,275
C4.111(C4oD12) = C24:30D4φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.111(C4oD12)192,673
C4.112(C4oD12) = C24:29D4φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.112(C4oD12)192,674
C4.113(C4oD12) = C24.82D4φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.113(C4oD12)192,675
C4.114(C4oD12) = C24:2D4φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.114(C4oD12)192,693
C4.115(C4oD12) = C24:3D4φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.115(C4oD12)192,694
C4.116(C4oD12) = C24.4D4φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.116(C4oD12)192,696
C4.117(C4oD12) = C42.274D6φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.117(C4oD12)192,1029
C4.118(C4oD12) = C42.277D6φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.118(C4oD12)192,1038
C4.119(C4oD12) = C42.89D6φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.119(C4oD12)192,1077
C4.120(C4oD12) = C42.99D6φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.120(C4oD12)192,1093
C4.121(C4oD12) = C42.100D6φ: C4oD12/C2xC12C2 ⊆ Aut C496C4.121(C4oD12)192,1094
C4.122(C4oD12) = C8xDic6central extension (φ=1)192C4.122(C4oD12)192,237
C4.123(C4oD12) = C24:12Q8central extension (φ=1)192C4.123(C4oD12)192,238
C4.124(C4oD12) = C42.282D6central extension (φ=1)96C4.124(C4oD12)192,244
C4.125(C4oD12) = C8xD12central extension (φ=1)96C4.125(C4oD12)192,245
C4.126(C4oD12) = C8:6D12central extension (φ=1)96C4.126(C4oD12)192,247
C4.127(C4oD12) = C42.243D6central extension (φ=1)96C4.127(C4oD12)192,249
C4.128(C4oD12) = C24:Q8central extension (φ=1)192C4.128(C4oD12)192,260
C4.129(C4oD12) = C42.182D6central extension (φ=1)96C4.129(C4oD12)192,264
C4.130(C4oD12) = C8:9D12central extension (φ=1)96C4.130(C4oD12)192,265
C4.131(C4oD12) = C42.185D6central extension (φ=1)96C4.131(C4oD12)192,268
C4.132(C4oD12) = C42.285D6central extension (φ=1)96C4.132(C4oD12)192,484
C4.133(C4oD12) = C42.270D6central extension (φ=1)96C4.133(C4oD12)192,485
C4.134(C4oD12) = C42.187D6central extension (φ=1)96C4.134(C4oD12)192,559
C4.135(C4oD12) = C8xC3:D4central extension (φ=1)96C4.135(C4oD12)192,668
C4.136(C4oD12) = C24:33D4central extension (φ=1)96C4.136(C4oD12)192,670
C4.137(C4oD12) = C24:D4central extension (φ=1)96C4.137(C4oD12)192,686
C4.138(C4oD12) = C24:21D4central extension (φ=1)96C4.138(C4oD12)192,687
C4.139(C4oD12) = C42.93D6central extension (φ=1)96C4.139(C4oD12)192,1087

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