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Extensions 1→N→G→Q→1 with N=C6 and Q=C4xD4

Direct product G=NxQ with N=C6 and Q=C4xD4
dρLabelID
D4xC2xC1296D4xC2xC12192,1404

Semidirect products G=N:Q with N=C6 and Q=C4xD4
extensionφ:Q→Aut NdρLabelID
C6:1(C4xD4) = C2xC4xD12φ: C4xD4/C42 → C2 ⊆ Aut C696C6:1(C4xD4)192,1032
C6:2(C4xD4) = C2xDic3:4D4φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6:2(C4xD4)192,1044
C6:3(C4xD4) = C2xDic3:5D4φ: C4xD4/C4:C4 → C2 ⊆ Aut C696C6:3(C4xD4)192,1062
C6:4(C4xD4) = C2xC4xC3:D4φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6:4(C4xD4)192,1347
C6:5(C4xD4) = C2xD4xDic3φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6:5(C4xD4)192,1354

Non-split extensions G=N.Q with N=C6 and Q=C4xD4
extensionφ:Q→Aut NdρLabelID
C6.1(C4xD4) = C2.(C4xD12)φ: C4xD4/C42 → C2 ⊆ Aut C6192C6.1(C4xD4)192,212
C6.2(C4xD4) = (C2xC4):9D12φ: C4xD4/C42 → C2 ⊆ Aut C696C6.2(C4xD4)192,224
C6.3(C4xD4) = D6:C4:C4φ: C4xD4/C42 → C2 ⊆ Aut C696C6.3(C4xD4)192,227
C6.4(C4xD4) = C8xD12φ: C4xD4/C42 → C2 ⊆ Aut C696C6.4(C4xD4)192,245
C6.5(C4xD4) = C8:6D12φ: C4xD4/C42 → C2 ⊆ Aut C696C6.5(C4xD4)192,247
C6.6(C4xD4) = C4xC24:C2φ: C4xD4/C42 → C2 ⊆ Aut C696C6.6(C4xD4)192,250
C6.7(C4xD4) = C4xD24φ: C4xD4/C42 → C2 ⊆ Aut C696C6.7(C4xD4)192,251
C6.8(C4xD4) = C4xDic12φ: C4xD4/C42 → C2 ⊆ Aut C6192C6.8(C4xD4)192,257
C6.9(C4xD4) = D24:11C4φ: C4xD4/C42 → C2 ⊆ Aut C6482C6.9(C4xD4)192,259
C6.10(C4xD4) = C8:9D12φ: C4xD4/C42 → C2 ⊆ Aut C696C6.10(C4xD4)192,265
C6.11(C4xD4) = C42.16D6φ: C4xD4/C42 → C2 ⊆ Aut C696C6.11(C4xD4)192,269
C6.12(C4xD4) = D24:C4φ: C4xD4/C42 → C2 ⊆ Aut C696C6.12(C4xD4)192,270
C6.13(C4xD4) = Dic12:C4φ: C4xD4/C42 → C2 ⊆ Aut C6192C6.13(C4xD4)192,275
C6.14(C4xD4) = D24:4C4φ: C4xD4/C42 → C2 ⊆ Aut C6484C6.14(C4xD4)192,276
C6.15(C4xD4) = C12:4(C4:C4)φ: C4xD4/C42 → C2 ⊆ Aut C6192C6.15(C4xD4)192,487
C6.16(C4xD4) = C4xC4:Dic3φ: C4xD4/C42 → C2 ⊆ Aut C6192C6.16(C4xD4)192,493
C6.17(C4xD4) = C4xD6:C4φ: C4xD4/C42 → C2 ⊆ Aut C696C6.17(C4xD4)192,497
C6.18(C4xD4) = (C2xC4):6D12φ: C4xD4/C42 → C2 ⊆ Aut C696C6.18(C4xD4)192,498
C6.19(C4xD4) = C6.(C4xQ8)φ: C4xD4/C22:C4 → C2 ⊆ Aut C6192C6.19(C4xD4)192,206
C6.20(C4xD4) = Dic3:C42φ: C4xD4/C22:C4 → C2 ⊆ Aut C6192C6.20(C4xD4)192,208
C6.21(C4xD4) = C6.(C4xD4)φ: C4xD4/C22:C4 → C2 ⊆ Aut C6192C6.21(C4xD4)192,211
C6.22(C4xD4) = Dic3:C4:C4φ: C4xD4/C22:C4 → C2 ⊆ Aut C6192C6.22(C4xD4)192,214
C6.23(C4xD4) = D6:C42φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.23(C4xD4)192,225
C6.24(C4xD4) = D6:C4:5C4φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.24(C4xD4)192,228
C6.25(C4xD4) = D6:C4:3C4φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.25(C4xD4)192,229
C6.26(C4xD4) = C3:D4:C8φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.26(C4xD4)192,284
C6.27(C4xD4) = D6:2M4(2)φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.27(C4xD4)192,287
C6.28(C4xD4) = Dic3:M4(2)φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.28(C4xD4)192,288
C6.29(C4xD4) = C3:C8:26D4φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.29(C4xD4)192,289
C6.30(C4xD4) = Dic3:4D8φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.30(C4xD4)192,315
C6.31(C4xD4) = D4.S3:C4φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.31(C4xD4)192,316
C6.32(C4xD4) = Dic3:6SD16φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.32(C4xD4)192,317
C6.33(C4xD4) = D4:S3:C4φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.33(C4xD4)192,344
C6.34(C4xD4) = Dic3:7SD16φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.34(C4xD4)192,347
C6.35(C4xD4) = C3:Q16:C4φ: C4xD4/C22:C4 → C2 ⊆ Aut C6192C6.35(C4xD4)192,348
C6.36(C4xD4) = Dic3:4Q16φ: C4xD4/C22:C4 → C2 ⊆ Aut C6192C6.36(C4xD4)192,349
C6.37(C4xD4) = Q8:3(C4xS3)φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.37(C4xD4)192,376
C6.38(C4xD4) = M4(2).22D6φ: C4xD4/C22:C4 → C2 ⊆ Aut C6484C6.38(C4xD4)192,382
C6.39(C4xD4) = C42.196D6φ: C4xD4/C22:C4 → C2 ⊆ Aut C6484C6.39(C4xD4)192,383
C6.40(C4xD4) = Dic3xC22:C4φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.40(C4xD4)192,500
C6.41(C4xD4) = C24.14D6φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.41(C4xD4)192,503
C6.42(C4xD4) = C24.15D6φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.42(C4xD4)192,504
C6.43(C4xD4) = C24.57D6φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.43(C4xD4)192,505
C6.44(C4xD4) = C24.60D6φ: C4xD4/C22:C4 → C2 ⊆ Aut C696C6.44(C4xD4)192,517
C6.45(C4xD4) = C2.(C4xDic6)φ: C4xD4/C4:C4 → C2 ⊆ Aut C6192C6.45(C4xD4)192,213
C6.46(C4xD4) = D12:C8φ: C4xD4/C4:C4 → C2 ⊆ Aut C696C6.46(C4xD4)192,393
C6.47(C4xD4) = D6:3M4(2)φ: C4xD4/C4:C4 → C2 ⊆ Aut C696C6.47(C4xD4)192,395
C6.48(C4xD4) = C12:2M4(2)φ: C4xD4/C4:C4 → C2 ⊆ Aut C696C6.48(C4xD4)192,397
C6.49(C4xD4) = Dic3:8SD16φ: C4xD4/C4:C4 → C2 ⊆ Aut C696C6.49(C4xD4)192,411
C6.50(C4xD4) = Dic12:9C4φ: C4xD4/C4:C4 → C2 ⊆ Aut C6192C6.50(C4xD4)192,412
C6.51(C4xD4) = D24:9C4φ: C4xD4/C4:C4 → C2 ⊆ Aut C696C6.51(C4xD4)192,428
C6.52(C4xD4) = Dic3:5D8φ: C4xD4/C4:C4 → C2 ⊆ Aut C696C6.52(C4xD4)192,431
C6.53(C4xD4) = Dic3:5Q16φ: C4xD4/C4:C4 → C2 ⊆ Aut C6192C6.53(C4xD4)192,432
C6.54(C4xD4) = C24:C2:C4φ: C4xD4/C4:C4 → C2 ⊆ Aut C696C6.54(C4xD4)192,448
C6.55(C4xD4) = D24:10C4φ: C4xD4/C4:C4 → C2 ⊆ Aut C6484C6.55(C4xD4)192,453
C6.56(C4xD4) = D24:7C4φ: C4xD4/C4:C4 → C2 ⊆ Aut C6484C6.56(C4xD4)192,454
C6.57(C4xD4) = C12:(C4:C4)φ: C4xD4/C4:C4 → C2 ⊆ Aut C6192C6.57(C4xD4)192,531
C6.58(C4xD4) = Dic3xC4:C4φ: C4xD4/C4:C4 → C2 ⊆ Aut C6192C6.58(C4xD4)192,533
C6.59(C4xD4) = (C2xD12):10C4φ: C4xD4/C4:C4 → C2 ⊆ Aut C696C6.59(C4xD4)192,547
C6.60(C4xD4) = D6:C4:7C4φ: C4xD4/C4:C4 → C2 ⊆ Aut C696C6.60(C4xD4)192,549
C6.61(C4xD4) = C4xDic3:C4φ: C4xD4/C22xC4 → C2 ⊆ Aut C6192C6.61(C4xD4)192,490
C6.62(C4xD4) = (C2xC42).6S3φ: C4xD4/C22xC4 → C2 ⊆ Aut C6192C6.62(C4xD4)192,492
C6.63(C4xD4) = (C2xC42):3S3φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.63(C4xD4)192,499
C6.64(C4xD4) = C24.23D6φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.64(C4xD4)192,515
C6.65(C4xD4) = C24.24D6φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.65(C4xD4)192,516
C6.66(C4xD4) = Dic3:(C4:C4)φ: C4xD4/C22xC4 → C2 ⊆ Aut C6192C6.66(C4xD4)192,535
C6.67(C4xD4) = C6.67(C4xD4)φ: C4xD4/C22xC4 → C2 ⊆ Aut C6192C6.67(C4xD4)192,537
C6.68(C4xD4) = D6:C4:6C4φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.68(C4xD4)192,548
C6.69(C4xD4) = C4xD4:S3φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.69(C4xD4)192,572
C6.70(C4xD4) = C42.48D6φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.70(C4xD4)192,573
C6.71(C4xD4) = C4xD4.S3φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.71(C4xD4)192,576
C6.72(C4xD4) = C42.51D6φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.72(C4xD4)192,577
C6.73(C4xD4) = C4xQ8:2S3φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.73(C4xD4)192,584
C6.74(C4xD4) = C42.56D6φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.74(C4xD4)192,585
C6.75(C4xD4) = C4xC3:Q16φ: C4xD4/C22xC4 → C2 ⊆ Aut C6192C6.75(C4xD4)192,588
C6.76(C4xD4) = C42.59D6φ: C4xD4/C22xC4 → C2 ⊆ Aut C6192C6.76(C4xD4)192,589
C6.77(C4xD4) = C8xC3:D4φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.77(C4xD4)192,668
C6.78(C4xD4) = C24:33D4φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.78(C4xD4)192,670
C6.79(C4xD4) = C24:D4φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.79(C4xD4)192,686
C6.80(C4xD4) = C24:21D4φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.80(C4xD4)192,687
C6.81(C4xD4) = C24.100D4φ: C4xD4/C22xC4 → C2 ⊆ Aut C6484C6.81(C4xD4)192,703
C6.82(C4xD4) = C24.54D4φ: C4xD4/C22xC4 → C2 ⊆ Aut C6484C6.82(C4xD4)192,704
C6.83(C4xD4) = C4xC6.D4φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.83(C4xD4)192,768
C6.84(C4xD4) = C24.73D6φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.84(C4xD4)192,769
C6.85(C4xD4) = C24.76D6φ: C4xD4/C22xC4 → C2 ⊆ Aut C696C6.85(C4xD4)192,772
C6.86(C4xD4) = C24.58D6φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.86(C4xD4)192,509
C6.87(C4xD4) = C24.19D6φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.87(C4xD4)192,510
C6.88(C4xD4) = C4:C4:5Dic3φ: C4xD4/C2xD4 → C2 ⊆ Aut C6192C6.88(C4xD4)192,539
C6.89(C4xD4) = C4:C4:6Dic3φ: C4xD4/C2xD4 → C2 ⊆ Aut C6192C6.89(C4xD4)192,543
C6.90(C4xD4) = D4xC3:C8φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.90(C4xD4)192,569
C6.91(C4xD4) = C42.47D6φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.91(C4xD4)192,570
C6.92(C4xD4) = C12:3M4(2)φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.92(C4xD4)192,571
C6.93(C4xD4) = Dic3xD8φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.93(C4xD4)192,708
C6.94(C4xD4) = D8:Dic3φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.94(C4xD4)192,711
C6.95(C4xD4) = Dic3xSD16φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.95(C4xD4)192,720
C6.96(C4xD4) = SD16:Dic3φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.96(C4xD4)192,723
C6.97(C4xD4) = Dic3xQ16φ: C4xD4/C2xD4 → C2 ⊆ Aut C6192C6.97(C4xD4)192,740
C6.98(C4xD4) = Q16:Dic3φ: C4xD4/C2xD4 → C2 ⊆ Aut C6192C6.98(C4xD4)192,743
C6.99(C4xD4) = D8:5Dic3φ: C4xD4/C2xD4 → C2 ⊆ Aut C6484C6.99(C4xD4)192,755
C6.100(C4xD4) = D8:4Dic3φ: C4xD4/C2xD4 → C2 ⊆ Aut C6484C6.100(C4xD4)192,756
C6.101(C4xD4) = C24.29D6φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.101(C4xD4)192,779
C6.102(C4xD4) = C24.30D6φ: C4xD4/C2xD4 → C2 ⊆ Aut C696C6.102(C4xD4)192,780
C6.103(C4xD4) = C12xC22:C4central extension (φ=1)96C6.103(C4xD4)192,810
C6.104(C4xD4) = C12xC4:C4central extension (φ=1)192C6.104(C4xD4)192,811
C6.105(C4xD4) = C3xC23.8Q8central extension (φ=1)96C6.105(C4xD4)192,818
C6.106(C4xD4) = C3xC23.23D4central extension (φ=1)96C6.106(C4xD4)192,819
C6.107(C4xD4) = C3xC23.63C23central extension (φ=1)192C6.107(C4xD4)192,820
C6.108(C4xD4) = C3xC24.C22central extension (φ=1)96C6.108(C4xD4)192,821
C6.109(C4xD4) = C3xC23.65C23central extension (φ=1)192C6.109(C4xD4)192,822
C6.110(C4xD4) = C3xC24.3C22central extension (φ=1)96C6.110(C4xD4)192,823
C6.111(C4xD4) = D4xC24central extension (φ=1)96C6.111(C4xD4)192,867
C6.112(C4xD4) = C3xC8:9D4central extension (φ=1)96C6.112(C4xD4)192,868
C6.113(C4xD4) = C3xC8:6D4central extension (φ=1)96C6.113(C4xD4)192,869
C6.114(C4xD4) = C12xD8central extension (φ=1)96C6.114(C4xD4)192,870
C6.115(C4xD4) = C12xSD16central extension (φ=1)96C6.115(C4xD4)192,871
C6.116(C4xD4) = C12xQ16central extension (φ=1)192C6.116(C4xD4)192,872
C6.117(C4xD4) = C3xSD16:C4central extension (φ=1)96C6.117(C4xD4)192,873
C6.118(C4xD4) = C3xQ16:C4central extension (φ=1)192C6.118(C4xD4)192,874
C6.119(C4xD4) = C3xD8:C4central extension (φ=1)96C6.119(C4xD4)192,875
C6.120(C4xD4) = C3xC8oD8central extension (φ=1)482C6.120(C4xD4)192,876
C6.121(C4xD4) = C3xC8.26D4central extension (φ=1)484C6.121(C4xD4)192,877

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