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Extensions 1→N→G→Q→1 with N=C6 and Q=C4×D4

Direct product G=N×Q with N=C6 and Q=C4×D4
dρLabelID
D4×C2×C1296D4xC2xC12192,1404

Semidirect products G=N:Q with N=C6 and Q=C4×D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C4×D4) = C2×C4×D12φ: C4×D4/C42 → C2 ⊆ Aut C696C6:1(C4xD4)192,1032
C6⋊2(C4×D4) = C2×Dic3⋊4D4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6:2(C4xD4)192,1044
C6⋊3(C4×D4) = C2×Dic3⋊5D4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C696C6:3(C4xD4)192,1062
C6⋊4(C4×D4) = C2×C4×C3⋊D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6:4(C4xD4)192,1347
C6⋊5(C4×D4) = C2×D4×Dic3φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6:5(C4xD4)192,1354

Non-split extensions G=N.Q with N=C6 and Q=C4×D4
extensionφ:Q→Aut NdρLabelID
C6.1(C4×D4) = C2.(C4×D12)φ: C4×D4/C42 → C2 ⊆ Aut C6192C6.1(C4xD4)192,212
C6.2(C4×D4) = (C2×C4)⋊9D12φ: C4×D4/C42 → C2 ⊆ Aut C696C6.2(C4xD4)192,224
C6.3(C4×D4) = D6⋊C4⋊C4φ: C4×D4/C42 → C2 ⊆ Aut C696C6.3(C4xD4)192,227
C6.4(C4×D4) = C8×D12φ: C4×D4/C42 → C2 ⊆ Aut C696C6.4(C4xD4)192,245
C6.5(C4×D4) = C8⋊6D12φ: C4×D4/C42 → C2 ⊆ Aut C696C6.5(C4xD4)192,247
C6.6(C4×D4) = C4×C24⋊C2φ: C4×D4/C42 → C2 ⊆ Aut C696C6.6(C4xD4)192,250
C6.7(C4×D4) = C4×D24φ: C4×D4/C42 → C2 ⊆ Aut C696C6.7(C4xD4)192,251
C6.8(C4×D4) = C4×Dic12φ: C4×D4/C42 → C2 ⊆ Aut C6192C6.8(C4xD4)192,257
C6.9(C4×D4) = D24⋊11C4φ: C4×D4/C42 → C2 ⊆ Aut C6482C6.9(C4xD4)192,259
C6.10(C4×D4) = C8⋊9D12φ: C4×D4/C42 → C2 ⊆ Aut C696C6.10(C4xD4)192,265
C6.11(C4×D4) = C42.16D6φ: C4×D4/C42 → C2 ⊆ Aut C696C6.11(C4xD4)192,269
C6.12(C4×D4) = D24⋊C4φ: C4×D4/C42 → C2 ⊆ Aut C696C6.12(C4xD4)192,270
C6.13(C4×D4) = Dic12⋊C4φ: C4×D4/C42 → C2 ⊆ Aut C6192C6.13(C4xD4)192,275
C6.14(C4×D4) = D24⋊4C4φ: C4×D4/C42 → C2 ⊆ Aut C6484C6.14(C4xD4)192,276
C6.15(C4×D4) = C12⋊4(C4⋊C4)φ: C4×D4/C42 → C2 ⊆ Aut C6192C6.15(C4xD4)192,487
C6.16(C4×D4) = C4×C4⋊Dic3φ: C4×D4/C42 → C2 ⊆ Aut C6192C6.16(C4xD4)192,493
C6.17(C4×D4) = C4×D6⋊C4φ: C4×D4/C42 → C2 ⊆ Aut C696C6.17(C4xD4)192,497
C6.18(C4×D4) = (C2×C4)⋊6D12φ: C4×D4/C42 → C2 ⊆ Aut C696C6.18(C4xD4)192,498
C6.19(C4×D4) = C6.(C4×Q8)φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C6192C6.19(C4xD4)192,206
C6.20(C4×D4) = Dic3⋊C42φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C6192C6.20(C4xD4)192,208
C6.21(C4×D4) = C6.(C4×D4)φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C6192C6.21(C4xD4)192,211
C6.22(C4×D4) = Dic3⋊C4⋊C4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C6192C6.22(C4xD4)192,214
C6.23(C4×D4) = D6⋊C42φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.23(C4xD4)192,225
C6.24(C4×D4) = D6⋊C4⋊5C4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.24(C4xD4)192,228
C6.25(C4×D4) = D6⋊C4⋊3C4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.25(C4xD4)192,229
C6.26(C4×D4) = C3⋊D4⋊C8φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.26(C4xD4)192,284
C6.27(C4×D4) = D6⋊2M4(2)φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.27(C4xD4)192,287
C6.28(C4×D4) = Dic3⋊M4(2)φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.28(C4xD4)192,288
C6.29(C4×D4) = C3⋊C8⋊26D4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.29(C4xD4)192,289
C6.30(C4×D4) = Dic3⋊4D8φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.30(C4xD4)192,315
C6.31(C4×D4) = D4.S3⋊C4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.31(C4xD4)192,316
C6.32(C4×D4) = Dic3⋊6SD16φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.32(C4xD4)192,317
C6.33(C4×D4) = D4⋊S3⋊C4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.33(C4xD4)192,344
C6.34(C4×D4) = Dic3⋊7SD16φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.34(C4xD4)192,347
C6.35(C4×D4) = C3⋊Q16⋊C4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C6192C6.35(C4xD4)192,348
C6.36(C4×D4) = Dic3⋊4Q16φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C6192C6.36(C4xD4)192,349
C6.37(C4×D4) = Q8⋊3(C4×S3)φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.37(C4xD4)192,376
C6.38(C4×D4) = M4(2).22D6φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C6484C6.38(C4xD4)192,382
C6.39(C4×D4) = C42.196D6φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C6484C6.39(C4xD4)192,383
C6.40(C4×D4) = Dic3×C22⋊C4φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.40(C4xD4)192,500
C6.41(C4×D4) = C24.14D6φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.41(C4xD4)192,503
C6.42(C4×D4) = C24.15D6φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.42(C4xD4)192,504
C6.43(C4×D4) = C24.57D6φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.43(C4xD4)192,505
C6.44(C4×D4) = C24.60D6φ: C4×D4/C22⋊C4 → C2 ⊆ Aut C696C6.44(C4xD4)192,517
C6.45(C4×D4) = C2.(C4×Dic6)φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C6192C6.45(C4xD4)192,213
C6.46(C4×D4) = D12⋊C8φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C696C6.46(C4xD4)192,393
C6.47(C4×D4) = D6⋊3M4(2)φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C696C6.47(C4xD4)192,395
C6.48(C4×D4) = C12⋊2M4(2)φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C696C6.48(C4xD4)192,397
C6.49(C4×D4) = Dic3⋊8SD16φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C696C6.49(C4xD4)192,411
C6.50(C4×D4) = Dic12⋊9C4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C6192C6.50(C4xD4)192,412
C6.51(C4×D4) = D24⋊9C4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C696C6.51(C4xD4)192,428
C6.52(C4×D4) = Dic3⋊5D8φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C696C6.52(C4xD4)192,431
C6.53(C4×D4) = Dic3⋊5Q16φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C6192C6.53(C4xD4)192,432
C6.54(C4×D4) = C24⋊C2⋊C4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C696C6.54(C4xD4)192,448
C6.55(C4×D4) = D24⋊10C4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C6484C6.55(C4xD4)192,453
C6.56(C4×D4) = D24⋊7C4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C6484C6.56(C4xD4)192,454
C6.57(C4×D4) = C12⋊(C4⋊C4)φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C6192C6.57(C4xD4)192,531
C6.58(C4×D4) = Dic3×C4⋊C4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C6192C6.58(C4xD4)192,533
C6.59(C4×D4) = (C2×D12)⋊10C4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C696C6.59(C4xD4)192,547
C6.60(C4×D4) = D6⋊C4⋊7C4φ: C4×D4/C4⋊C4 → C2 ⊆ Aut C696C6.60(C4xD4)192,549
C6.61(C4×D4) = C4×Dic3⋊C4φ: C4×D4/C22×C4 → C2 ⊆ Aut C6192C6.61(C4xD4)192,490
C6.62(C4×D4) = (C2×C42).6S3φ: C4×D4/C22×C4 → C2 ⊆ Aut C6192C6.62(C4xD4)192,492
C6.63(C4×D4) = (C2×C42)⋊3S3φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.63(C4xD4)192,499
C6.64(C4×D4) = C24.23D6φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.64(C4xD4)192,515
C6.65(C4×D4) = C24.24D6φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.65(C4xD4)192,516
C6.66(C4×D4) = Dic3⋊(C4⋊C4)φ: C4×D4/C22×C4 → C2 ⊆ Aut C6192C6.66(C4xD4)192,535
C6.67(C4×D4) = C6.67(C4×D4)φ: C4×D4/C22×C4 → C2 ⊆ Aut C6192C6.67(C4xD4)192,537
C6.68(C4×D4) = D6⋊C4⋊6C4φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.68(C4xD4)192,548
C6.69(C4×D4) = C4×D4⋊S3φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.69(C4xD4)192,572
C6.70(C4×D4) = C42.48D6φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.70(C4xD4)192,573
C6.71(C4×D4) = C4×D4.S3φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.71(C4xD4)192,576
C6.72(C4×D4) = C42.51D6φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.72(C4xD4)192,577
C6.73(C4×D4) = C4×Q8⋊2S3φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.73(C4xD4)192,584
C6.74(C4×D4) = C42.56D6φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.74(C4xD4)192,585
C6.75(C4×D4) = C4×C3⋊Q16φ: C4×D4/C22×C4 → C2 ⊆ Aut C6192C6.75(C4xD4)192,588
C6.76(C4×D4) = C42.59D6φ: C4×D4/C22×C4 → C2 ⊆ Aut C6192C6.76(C4xD4)192,589
C6.77(C4×D4) = C8×C3⋊D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.77(C4xD4)192,668
C6.78(C4×D4) = C24⋊33D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.78(C4xD4)192,670
C6.79(C4×D4) = C24⋊D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.79(C4xD4)192,686
C6.80(C4×D4) = C24⋊21D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.80(C4xD4)192,687
C6.81(C4×D4) = C24.100D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C6484C6.81(C4xD4)192,703
C6.82(C4×D4) = C24.54D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C6484C6.82(C4xD4)192,704
C6.83(C4×D4) = C4×C6.D4φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.83(C4xD4)192,768
C6.84(C4×D4) = C24.73D6φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.84(C4xD4)192,769
C6.85(C4×D4) = C24.76D6φ: C4×D4/C22×C4 → C2 ⊆ Aut C696C6.85(C4xD4)192,772
C6.86(C4×D4) = C24.58D6φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.86(C4xD4)192,509
C6.87(C4×D4) = C24.19D6φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.87(C4xD4)192,510
C6.88(C4×D4) = C4⋊C4⋊5Dic3φ: C4×D4/C2×D4 → C2 ⊆ Aut C6192C6.88(C4xD4)192,539
C6.89(C4×D4) = C4⋊C4⋊6Dic3φ: C4×D4/C2×D4 → C2 ⊆ Aut C6192C6.89(C4xD4)192,543
C6.90(C4×D4) = D4×C3⋊C8φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.90(C4xD4)192,569
C6.91(C4×D4) = C42.47D6φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.91(C4xD4)192,570
C6.92(C4×D4) = C12⋊3M4(2)φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.92(C4xD4)192,571
C6.93(C4×D4) = Dic3×D8φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.93(C4xD4)192,708
C6.94(C4×D4) = D8⋊Dic3φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.94(C4xD4)192,711
C6.95(C4×D4) = Dic3×SD16φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.95(C4xD4)192,720
C6.96(C4×D4) = SD16⋊Dic3φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.96(C4xD4)192,723
C6.97(C4×D4) = Dic3×Q16φ: C4×D4/C2×D4 → C2 ⊆ Aut C6192C6.97(C4xD4)192,740
C6.98(C4×D4) = Q16⋊Dic3φ: C4×D4/C2×D4 → C2 ⊆ Aut C6192C6.98(C4xD4)192,743
C6.99(C4×D4) = D8⋊5Dic3φ: C4×D4/C2×D4 → C2 ⊆ Aut C6484C6.99(C4xD4)192,755
C6.100(C4×D4) = D8⋊4Dic3φ: C4×D4/C2×D4 → C2 ⊆ Aut C6484C6.100(C4xD4)192,756
C6.101(C4×D4) = C24.29D6φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.101(C4xD4)192,779
C6.102(C4×D4) = C24.30D6φ: C4×D4/C2×D4 → C2 ⊆ Aut C696C6.102(C4xD4)192,780
C6.103(C4×D4) = C12×C22⋊C4central extension (φ=1)96C6.103(C4xD4)192,810
C6.104(C4×D4) = C12×C4⋊C4central extension (φ=1)192C6.104(C4xD4)192,811
C6.105(C4×D4) = C3×C23.8Q8central extension (φ=1)96C6.105(C4xD4)192,818
C6.106(C4×D4) = C3×C23.23D4central extension (φ=1)96C6.106(C4xD4)192,819
C6.107(C4×D4) = C3×C23.63C23central extension (φ=1)192C6.107(C4xD4)192,820
C6.108(C4×D4) = C3×C24.C22central extension (φ=1)96C6.108(C4xD4)192,821
C6.109(C4×D4) = C3×C23.65C23central extension (φ=1)192C6.109(C4xD4)192,822
C6.110(C4×D4) = C3×C24.3C22central extension (φ=1)96C6.110(C4xD4)192,823
C6.111(C4×D4) = D4×C24central extension (φ=1)96C6.111(C4xD4)192,867
C6.112(C4×D4) = C3×C8⋊9D4central extension (φ=1)96C6.112(C4xD4)192,868
C6.113(C4×D4) = C3×C8⋊6D4central extension (φ=1)96C6.113(C4xD4)192,869
C6.114(C4×D4) = C12×D8central extension (φ=1)96C6.114(C4xD4)192,870
C6.115(C4×D4) = C12×SD16central extension (φ=1)96C6.115(C4xD4)192,871
C6.116(C4×D4) = C12×Q16central extension (φ=1)192C6.116(C4xD4)192,872
C6.117(C4×D4) = C3×SD16⋊C4central extension (φ=1)96C6.117(C4xD4)192,873
C6.118(C4×D4) = C3×Q16⋊C4central extension (φ=1)192C6.118(C4xD4)192,874
C6.119(C4×D4) = C3×D8⋊C4central extension (φ=1)96C6.119(C4xD4)192,875
C6.120(C4×D4) = C3×C8○D8central extension (φ=1)482C6.120(C4xD4)192,876
C6.121(C4×D4) = C3×C8.26D4central extension (φ=1)484C6.121(C4xD4)192,877

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