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Extensions 1→N→G→Q→1 with N=C12 and Q=C22xC4

Direct product G=NxQ with N=C12 and Q=C22xC4
dρLabelID
C22xC4xC12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C12 and Q=C22xC4
extensionφ:Q→Aut NdρLabelID
C12:1(C22xC4) = C4xS3xD4φ: C22xC4/C4 → C22 ⊆ Aut C1248C12:1(C2^2xC4)192,1103
C12:2(C22xC4) = C2xS3xC4:C4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12:2(C2^2xC4)192,1060
C12:3(C22xC4) = C2xDic3:5D4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12:3(C2^2xC4)192,1062
C12:4(C22xC4) = C2xD4xDic3φ: C22xC4/C22 → C22 ⊆ Aut C1296C12:4(C2^2xC4)192,1354
C12:5(C22xC4) = C2xC4xD12φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12:5(C2^2xC4)192,1032
C12:6(C22xC4) = S3xC2xC42φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12:6(C2^2xC4)192,1030
C12:7(C22xC4) = D4xC2xC12φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12:7(C2^2xC4)192,1404
C12:8(C22xC4) = C22xC4:Dic3φ: C22xC4/C23 → C2 ⊆ Aut C12192C12:8(C2^2xC4)192,1344
C12:9(C22xC4) = Dic3xC22xC4φ: C22xC4/C23 → C2 ⊆ Aut C12192C12:9(C2^2xC4)192,1341
C12:10(C22xC4) = C2xC6xC4:C4φ: C22xC4/C23 → C2 ⊆ Aut C12192C12:10(C2^2xC4)192,1402

Non-split extensions G=N.Q with N=C12 and Q=C22xC4
extensionφ:Q→Aut NdρLabelID
C12.1(C22xC4) = Dic3:4D8φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.1(C2^2xC4)192,315
C12.2(C22xC4) = D4.S3:C4φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.2(C2^2xC4)192,316
C12.3(C22xC4) = Dic3:6SD16φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.3(C2^2xC4)192,317
C12.4(C22xC4) = S3xD4:C4φ: C22xC4/C4 → C22 ⊆ Aut C1248C12.4(C2^2xC4)192,328
C12.5(C22xC4) = C4:C4:19D6φ: C22xC4/C4 → C22 ⊆ Aut C1248C12.5(C2^2xC4)192,329
C12.6(C22xC4) = D4:(C4xS3)φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.6(C2^2xC4)192,330
C12.7(C22xC4) = D4:2S3:C4φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.7(C2^2xC4)192,331
C12.8(C22xC4) = D4:S3:C4φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.8(C2^2xC4)192,344
C12.9(C22xC4) = Dic3:7SD16φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.9(C2^2xC4)192,347
C12.10(C22xC4) = C3:Q16:C4φ: C22xC4/C4 → C22 ⊆ Aut C12192C12.10(C2^2xC4)192,348
C12.11(C22xC4) = Dic3:4Q16φ: C22xC4/C4 → C22 ⊆ Aut C12192C12.11(C2^2xC4)192,349
C12.12(C22xC4) = S3xQ8:C4φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.12(C2^2xC4)192,360
C12.13(C22xC4) = (S3xQ8):C4φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.13(C2^2xC4)192,361
C12.14(C22xC4) = Q8:7(C4xS3)φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.14(C2^2xC4)192,362
C12.15(C22xC4) = C4:C4.150D6φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.15(C2^2xC4)192,363
C12.16(C22xC4) = Q8:3(C4xS3)φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.16(C2^2xC4)192,376
C12.17(C22xC4) = S3xC4wrC2φ: C22xC4/C4 → C22 ⊆ Aut C12244C12.17(C2^2xC4)192,379
C12.18(C22xC4) = C42:3D6φ: C22xC4/C4 → C22 ⊆ Aut C12484C12.18(C2^2xC4)192,380
C12.19(C22xC4) = M4(2).22D6φ: C22xC4/C4 → C22 ⊆ Aut C12484C12.19(C2^2xC4)192,382
C12.20(C22xC4) = C42.196D6φ: C22xC4/C4 → C22 ⊆ Aut C12484C12.20(C2^2xC4)192,383
C12.21(C22xC4) = C4xD4:S3φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.21(C2^2xC4)192,572
C12.22(C22xC4) = C42.48D6φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.22(C2^2xC4)192,573
C12.23(C22xC4) = C4xD4.S3φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.23(C2^2xC4)192,576
C12.24(C22xC4) = C42.51D6φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.24(C2^2xC4)192,577
C12.25(C22xC4) = C4xQ8:2S3φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.25(C2^2xC4)192,584
C12.26(C22xC4) = C42.56D6φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.26(C2^2xC4)192,585
C12.27(C22xC4) = C4xC3:Q16φ: C22xC4/C4 → C22 ⊆ Aut C12192C12.27(C2^2xC4)192,588
C12.28(C22xC4) = C42.59D6φ: C22xC4/C4 → C22 ⊆ Aut C12192C12.28(C2^2xC4)192,589
C12.29(C22xC4) = C24.100D4φ: C22xC4/C4 → C22 ⊆ Aut C12484C12.29(C2^2xC4)192,703
C12.30(C22xC4) = C24.54D4φ: C22xC4/C4 → C22 ⊆ Aut C12484C12.30(C2^2xC4)192,704
C12.31(C22xC4) = C4xD4:2S3φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.31(C2^2xC4)192,1095
C12.32(C22xC4) = C42:13D6φ: C22xC4/C4 → C22 ⊆ Aut C1248C12.32(C2^2xC4)192,1104
C12.33(C22xC4) = C42.108D6φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.33(C2^2xC4)192,1105
C12.34(C22xC4) = C4xS3xQ8φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.34(C2^2xC4)192,1130
C12.35(C22xC4) = C42.125D6φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.35(C2^2xC4)192,1131
C12.36(C22xC4) = C4xQ8:3S3φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.36(C2^2xC4)192,1132
C12.37(C22xC4) = C42.126D6φ: C22xC4/C4 → C22 ⊆ Aut C1296C12.37(C2^2xC4)192,1133
C12.38(C22xC4) = S3xC8oD4φ: C22xC4/C4 → C22 ⊆ Aut C12484C12.38(C2^2xC4)192,1308
C12.39(C22xC4) = M4(2):28D6φ: C22xC4/C4 → C22 ⊆ Aut C12484C12.39(C2^2xC4)192,1309
C12.40(C22xC4) = Dic3:8SD16φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.40(C2^2xC4)192,411
C12.41(C22xC4) = Dic12:9C4φ: C22xC4/C22 → C22 ⊆ Aut C12192C12.41(C2^2xC4)192,412
C12.42(C22xC4) = S3xC4.Q8φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.42(C2^2xC4)192,418
C12.43(C22xC4) = (S3xC8):C4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.43(C2^2xC4)192,419
C12.44(C22xC4) = C8:(C4xS3)φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.44(C2^2xC4)192,420
C12.45(C22xC4) = D24:9C4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.45(C2^2xC4)192,428
C12.46(C22xC4) = Dic3:5D8φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.46(C2^2xC4)192,431
C12.47(C22xC4) = Dic3:5Q16φ: C22xC4/C22 → C22 ⊆ Aut C12192C12.47(C2^2xC4)192,432
C12.48(C22xC4) = S3xC2.D8φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.48(C2^2xC4)192,438
C12.49(C22xC4) = C8.27(C4xS3)φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.49(C2^2xC4)192,439
C12.50(C22xC4) = C8:S3:C4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.50(C2^2xC4)192,440
C12.51(C22xC4) = C24:C2:C4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.51(C2^2xC4)192,448
C12.52(C22xC4) = S3xC8.C4φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.52(C2^2xC4)192,451
C12.53(C22xC4) = M4(2).25D6φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.53(C2^2xC4)192,452
C12.54(C22xC4) = D24:10C4φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.54(C2^2xC4)192,453
C12.55(C22xC4) = D24:7C4φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.55(C2^2xC4)192,454
C12.56(C22xC4) = C2xC6.Q16φ: C22xC4/C22 → C22 ⊆ Aut C12192C12.56(C2^2xC4)192,521
C12.57(C22xC4) = C2xC12.Q8φ: C22xC4/C22 → C22 ⊆ Aut C12192C12.57(C2^2xC4)192,522
C12.58(C22xC4) = C4:C4.225D6φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.58(C2^2xC4)192,523
C12.59(C22xC4) = C2xC6.D8φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.59(C2^2xC4)192,524
C12.60(C22xC4) = C4oD12:C4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.60(C2^2xC4)192,525
C12.61(C22xC4) = C2xC6.SD16φ: C22xC4/C22 → C22 ⊆ Aut C12192C12.61(C2^2xC4)192,528
C12.62(C22xC4) = C4:C4.232D6φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.62(C2^2xC4)192,554
C12.63(C22xC4) = C4:C4.234D6φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.63(C2^2xC4)192,557
C12.64(C22xC4) = C4:C4:36D6φ: C22xC4/C22 → C22 ⊆ Aut C1248C12.64(C2^2xC4)192,560
C12.65(C22xC4) = C4.(C2xD12)φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.65(C2^2xC4)192,561
C12.66(C22xC4) = C4:C4.237D6φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.66(C2^2xC4)192,563
C12.67(C22xC4) = C2xC12.53D4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.67(C2^2xC4)192,682
C12.68(C22xC4) = C23.8Dic6φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.68(C2^2xC4)192,683
C12.69(C22xC4) = C2xD12:C4φ: C22xC4/C22 → C22 ⊆ Aut C1248C12.69(C2^2xC4)192,697
C12.70(C22xC4) = M4(2):24D6φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.70(C2^2xC4)192,698
C12.71(C22xC4) = Dic3xD8φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.71(C2^2xC4)192,708
C12.72(C22xC4) = D8:Dic3φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.72(C2^2xC4)192,711
C12.73(C22xC4) = Dic3xSD16φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.73(C2^2xC4)192,720
C12.74(C22xC4) = SD16:Dic3φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.74(C2^2xC4)192,723
C12.75(C22xC4) = Dic3xQ16φ: C22xC4/C22 → C22 ⊆ Aut C12192C12.75(C2^2xC4)192,740
C12.76(C22xC4) = Q16:Dic3φ: C22xC4/C22 → C22 ⊆ Aut C12192C12.76(C2^2xC4)192,743
C12.77(C22xC4) = D8:5Dic3φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.77(C2^2xC4)192,755
C12.78(C22xC4) = D8:4Dic3φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.78(C2^2xC4)192,756
C12.79(C22xC4) = C2xD4:Dic3φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.79(C2^2xC4)192,773
C12.80(C22xC4) = (C6xD4):6C4φ: C22xC4/C22 → C22 ⊆ Aut C1248C12.80(C2^2xC4)192,774
C12.81(C22xC4) = C2xQ8:2Dic3φ: C22xC4/C22 → C22 ⊆ Aut C12192C12.81(C2^2xC4)192,783
C12.82(C22xC4) = (C6xQ8):6C4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.82(C2^2xC4)192,784
C12.83(C22xC4) = C4oD4:3Dic3φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.83(C2^2xC4)192,791
C12.84(C22xC4) = C4oD4:4Dic3φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.84(C2^2xC4)192,792
C12.85(C22xC4) = C2xQ8:3Dic3φ: C22xC4/C22 → C22 ⊆ Aut C1248C12.85(C2^2xC4)192,794
C12.86(C22xC4) = (C6xD4):9C4φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.86(C2^2xC4)192,795
C12.87(C22xC4) = C2xDic6:C4φ: C22xC4/C22 → C22 ⊆ Aut C12192C12.87(C2^2xC4)192,1055
C12.88(C22xC4) = C2xC4:C4:7S3φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.88(C2^2xC4)192,1061
C12.89(C22xC4) = C6.82+ 1+4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.89(C2^2xC4)192,1063
C12.90(C22xC4) = C42.91D6φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.90(C2^2xC4)192,1082
C12.91(C22xC4) = C2xS3xM4(2)φ: C22xC4/C22 → C22 ⊆ Aut C1248C12.91(C2^2xC4)192,1302
C12.92(C22xC4) = C2xD12.C4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.92(C2^2xC4)192,1303
C12.93(C22xC4) = M4(2):26D6φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.93(C2^2xC4)192,1304
C12.94(C22xC4) = C24.49D6φ: C22xC4/C22 → C22 ⊆ Aut C1248C12.94(C2^2xC4)192,1357
C12.95(C22xC4) = C2xQ8xDic3φ: C22xC4/C22 → C22 ⊆ Aut C12192C12.95(C2^2xC4)192,1370
C12.96(C22xC4) = C6.422- 1+4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.96(C2^2xC4)192,1371
C12.97(C22xC4) = C2xD4.Dic3φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.97(C2^2xC4)192,1377
C12.98(C22xC4) = C12.76C24φ: C22xC4/C22 → C22 ⊆ Aut C12484C12.98(C2^2xC4)192,1378
C12.99(C22xC4) = Dic3xC4oD4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.99(C2^2xC4)192,1385
C12.100(C22xC4) = C6.1442+ 1+4φ: C22xC4/C22 → C22 ⊆ Aut C1296C12.100(C2^2xC4)192,1386
C12.101(C22xC4) = C4xC24:C2φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.101(C2^2xC4)192,250
C12.102(C22xC4) = C4xD24φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.102(C2^2xC4)192,251
C12.103(C22xC4) = C4xDic12φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.103(C2^2xC4)192,257
C12.104(C22xC4) = D24:11C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C12482C12.104(C2^2xC4)192,259
C12.105(C22xC4) = C42.16D6φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.105(C2^2xC4)192,269
C12.106(C22xC4) = D24:C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.106(C2^2xC4)192,270
C12.107(C22xC4) = Dic12:C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.107(C2^2xC4)192,275
C12.108(C22xC4) = D24:4C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C12484C12.108(C2^2xC4)192,276
C12.109(C22xC4) = C2xC42:4S3φ: C22xC4/C2xC4 → C2 ⊆ Aut C1248C12.109(C2^2xC4)192,486
C12.110(C22xC4) = C42:6D6φ: C22xC4/C2xC4 → C2 ⊆ Aut C12484C12.110(C2^2xC4)192,564
C12.111(C22xC4) = C2xC2.Dic12φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.111(C2^2xC4)192,662
C12.112(C22xC4) = C2xC2.D24φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.112(C2^2xC4)192,671
C12.113(C22xC4) = C23.28D12φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.113(C2^2xC4)192,672
C12.114(C22xC4) = C23.51D12φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.114(C2^2xC4)192,679
C12.115(C22xC4) = C23.53D12φ: C22xC4/C2xC4 → C2 ⊆ Aut C1248C12.115(C2^2xC4)192,690
C12.116(C22xC4) = C23.54D12φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.116(C2^2xC4)192,692
C12.117(C22xC4) = C2xC4xDic6φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.117(C2^2xC4)192,1026
C12.118(C22xC4) = C4xC4oD12φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.118(C2^2xC4)192,1033
C12.119(C22xC4) = C42.87D6φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.119(C2^2xC4)192,1075
C12.120(C22xC4) = C42:9D6φ: C22xC4/C2xC4 → C2 ⊆ Aut C1248C12.120(C2^2xC4)192,1080
C12.121(C22xC4) = C2xC8oD12φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.121(C2^2xC4)192,1297
C12.122(C22xC4) = S3xC4xC8φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.122(C2^2xC4)192,243
C12.123(C22xC4) = C4xC8:S3φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.123(C2^2xC4)192,246
C12.124(C22xC4) = D6.C42φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.124(C2^2xC4)192,248
C12.125(C22xC4) = S3xC8:C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.125(C2^2xC4)192,263
C12.126(C22xC4) = Dic3:5M4(2)φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.126(C2^2xC4)192,266
C12.127(C22xC4) = D6.4C42φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.127(C2^2xC4)192,267
C12.128(C22xC4) = S3xC2xC16φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.128(C2^2xC4)192,458
C12.129(C22xC4) = C2xD6.C8φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.129(C2^2xC4)192,459
C12.130(C22xC4) = D12.4C8φ: C22xC4/C2xC4 → C2 ⊆ Aut C12962C12.130(C2^2xC4)192,460
C12.131(C22xC4) = S3xM5(2)φ: C22xC4/C2xC4 → C2 ⊆ Aut C12484C12.131(C2^2xC4)192,465
C12.132(C22xC4) = C16.12D6φ: C22xC4/C2xC4 → C2 ⊆ Aut C12964C12.132(C2^2xC4)192,466
C12.133(C22xC4) = C2xC4xC3:C8φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.133(C2^2xC4)192,479
C12.134(C22xC4) = C2xC42.S3φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.134(C2^2xC4)192,480
C12.135(C22xC4) = C4xC4.Dic3φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.135(C2^2xC4)192,481
C12.136(C22xC4) = C12.5C42φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.136(C2^2xC4)192,556
C12.137(C22xC4) = Dic3xC2xC8φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.137(C2^2xC4)192,657
C12.138(C22xC4) = C2xC24:C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.138(C2^2xC4)192,659
C12.139(C22xC4) = C12.12C42φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.139(C2^2xC4)192,660
C12.140(C22xC4) = Dic3xM4(2)φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.140(C2^2xC4)192,676
C12.141(C22xC4) = C2xC42:2S3φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.141(C2^2xC4)192,1031
C12.142(C22xC4) = S3xC42:C2φ: C22xC4/C2xC4 → C2 ⊆ Aut C1248C12.142(C2^2xC4)192,1079
C12.143(C22xC4) = C42.188D6φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.143(C2^2xC4)192,1081
C12.144(C22xC4) = S3xC22xC8φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.144(C2^2xC4)192,1295
C12.145(C22xC4) = C22xC8:S3φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.145(C2^2xC4)192,1296
C12.146(C22xC4) = C6xD4:C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.146(C2^2xC4)192,847
C12.147(C22xC4) = C6xQ8:C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.147(C2^2xC4)192,848
C12.148(C22xC4) = C3xC23.24D4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.148(C2^2xC4)192,849
C12.149(C22xC4) = C3xC23.36D4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.149(C2^2xC4)192,850
C12.150(C22xC4) = C3xC23.37D4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1248C12.150(C2^2xC4)192,851
C12.151(C22xC4) = C3xC23.38D4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.151(C2^2xC4)192,852
C12.152(C22xC4) = C6xC4wrC2φ: C22xC4/C2xC4 → C2 ⊆ Aut C1248C12.152(C2^2xC4)192,853
C12.153(C22xC4) = C3xC42:C22φ: C22xC4/C2xC4 → C2 ⊆ Aut C12484C12.153(C2^2xC4)192,854
C12.154(C22xC4) = C12xD8φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.154(C2^2xC4)192,870
C12.155(C22xC4) = C12xSD16φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.155(C2^2xC4)192,871
C12.156(C22xC4) = C12xQ16φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.156(C2^2xC4)192,872
C12.157(C22xC4) = C3xSD16:C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.157(C2^2xC4)192,873
C12.158(C22xC4) = C3xQ16:C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.158(C2^2xC4)192,874
C12.159(C22xC4) = C3xD8:C4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.159(C2^2xC4)192,875
C12.160(C22xC4) = C3xC8oD8φ: C22xC4/C2xC4 → C2 ⊆ Aut C12482C12.160(C2^2xC4)192,876
C12.161(C22xC4) = C3xC8.26D4φ: C22xC4/C2xC4 → C2 ⊆ Aut C12484C12.161(C2^2xC4)192,877
C12.162(C22xC4) = Q8xC2xC12φ: C22xC4/C2xC4 → C2 ⊆ Aut C12192C12.162(C2^2xC4)192,1405
C12.163(C22xC4) = C12xC4oD4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.163(C2^2xC4)192,1406
C12.164(C22xC4) = C3xC22.11C24φ: C22xC4/C2xC4 → C2 ⊆ Aut C1248C12.164(C2^2xC4)192,1407
C12.165(C22xC4) = C3xC23.32C23φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.165(C2^2xC4)192,1408
C12.166(C22xC4) = C3xC23.33C23φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.166(C2^2xC4)192,1409
C12.167(C22xC4) = C6xC8oD4φ: C22xC4/C2xC4 → C2 ⊆ Aut C1296C12.167(C2^2xC4)192,1456
C12.168(C22xC4) = C3xQ8oM4(2)φ: C22xC4/C2xC4 → C2 ⊆ Aut C12484C12.168(C2^2xC4)192,1457
C12.169(C22xC4) = C2xC8:Dic3φ: C22xC4/C23 → C2 ⊆ Aut C12192C12.169(C2^2xC4)192,663
C12.170(C22xC4) = C2xC24:1C4φ: C22xC4/C23 → C2 ⊆ Aut C12192C12.170(C2^2xC4)192,664
C12.171(C22xC4) = C23.27D12φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.171(C2^2xC4)192,665
C12.172(C22xC4) = C2xC24.C4φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.172(C2^2xC4)192,666
C12.173(C22xC4) = C23.52D12φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.173(C2^2xC4)192,680
C12.174(C22xC4) = C23.9Dic6φ: C22xC4/C23 → C2 ⊆ Aut C12484C12.174(C2^2xC4)192,684
C12.175(C22xC4) = C22xC3:C16φ: C22xC4/C23 → C2 ⊆ Aut C12192C12.175(C2^2xC4)192,655
C12.176(C22xC4) = C2xC12.C8φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.176(C2^2xC4)192,656
C12.177(C22xC4) = C12.7C42φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.177(C2^2xC4)192,681
C12.178(C22xC4) = C24.78C23φ: C22xC4/C23 → C2 ⊆ Aut C12964C12.178(C2^2xC4)192,699
C12.179(C22xC4) = C23xC3:C8φ: C22xC4/C23 → C2 ⊆ Aut C12192C12.179(C2^2xC4)192,1339
C12.180(C22xC4) = C22xC4.Dic3φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.180(C2^2xC4)192,1340
C12.181(C22xC4) = C2xC23.26D6φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.181(C2^2xC4)192,1345
C12.182(C22xC4) = C6xC4.Q8φ: C22xC4/C23 → C2 ⊆ Aut C12192C12.182(C2^2xC4)192,858
C12.183(C22xC4) = C6xC2.D8φ: C22xC4/C23 → C2 ⊆ Aut C12192C12.183(C2^2xC4)192,859
C12.184(C22xC4) = C3xC23.25D4φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.184(C2^2xC4)192,860
C12.185(C22xC4) = C3xM4(2):C4φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.185(C2^2xC4)192,861
C12.186(C22xC4) = C6xC8.C4φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.186(C2^2xC4)192,862
C12.187(C22xC4) = C3xM4(2).C4φ: C22xC4/C23 → C2 ⊆ Aut C12484C12.187(C2^2xC4)192,863
C12.188(C22xC4) = C6xC42:C2φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.188(C2^2xC4)192,1403
C12.189(C22xC4) = C2xC6xM4(2)φ: C22xC4/C23 → C2 ⊆ Aut C1296C12.189(C2^2xC4)192,1455
C12.190(C22xC4) = C6xC8:C4central extension (φ=1)192C12.190(C2^2xC4)192,836
C12.191(C22xC4) = C12xM4(2)central extension (φ=1)96C12.191(C2^2xC4)192,837
C12.192(C22xC4) = C3xC8o2M4(2)central extension (φ=1)96C12.192(C2^2xC4)192,838
C12.193(C22xC4) = C6xM5(2)central extension (φ=1)96C12.193(C2^2xC4)192,936
C12.194(C22xC4) = C3xD4oC16central extension (φ=1)962C12.194(C2^2xC4)192,937

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