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Extensions 1→N→G→Q→1 with N=C6 and Q=C4○D12

Direct product G=N×Q with N=C6 and Q=C4○D12
dρLabelID
C6×C4○D1248C6xC4oD12288,991

Semidirect products G=N:Q with N=C6 and Q=C4○D12
extensionφ:Q→Aut NdρLabelID
C6⋊1(C4○D12) = C2×D6.6D6φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6:1(C4oD12)288,949
C6⋊2(C4○D12) = C2×D6.D6φ: C4○D12/C4×S3 → C2 ⊆ Aut C648C6:2(C4oD12)288,948
C6⋊3(C4○D12) = C2×D12⋊5S3φ: C4○D12/D12 → C2 ⊆ Aut C696C6:3(C4oD12)288,943
C6⋊4(C4○D12) = C2×D6.3D6φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6:4(C4oD12)288,970
C6⋊5(C4○D12) = C2×C12.59D6φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6:5(C4oD12)288,1006

Non-split extensions G=N.Q with N=C6 and Q=C4○D12
extensionφ:Q→Aut NdρLabelID
C6.1(C4○D12) = C62.6C23φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.1(C4oD12)288,484
C6.2(C4○D12) = C62.11C23φ: C4○D12/Dic6 → C2 ⊆ Aut C696C6.2(C4oD12)288,489
C6.3(C4○D12) = Dic3×Dic6φ: C4○D12/Dic6 → C2 ⊆ Aut C696C6.3(C4oD12)288,490
C6.4(C4○D12) = Dic3.Dic6φ: C4○D12/Dic6 → C2 ⊆ Aut C696C6.4(C4oD12)288,493
C6.5(C4○D12) = C62.18C23φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.5(C4oD12)288,496
C6.6(C4○D12) = C62.24C23φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.6(C4oD12)288,502
C6.7(C4○D12) = D6⋊6Dic6φ: C4○D12/Dic6 → C2 ⊆ Aut C696C6.7(C4oD12)288,504
C6.8(C4○D12) = C62.31C23φ: C4○D12/Dic6 → C2 ⊆ Aut C696C6.8(C4oD12)288,509
C6.9(C4○D12) = C12.28D12φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.9(C4oD12)288,512
C6.10(C4○D12) = C62.39C23φ: C4○D12/Dic6 → C2 ⊆ Aut C696C6.10(C4oD12)288,517
C6.11(C4○D12) = C62.58C23φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.11(C4oD12)288,536
C6.12(C4○D12) = Dic3⋊5D12φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.12(C4oD12)288,542
C6.13(C4○D12) = C62.67C23φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.13(C4oD12)288,545
C6.14(C4○D12) = C62.74C23φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.14(C4oD12)288,552
C6.15(C4○D12) = C62.77C23φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.15(C4oD12)288,555
C6.16(C4○D12) = C12⋊7D12φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.16(C4oD12)288,557
C6.17(C4○D12) = Dic3⋊3D12φ: C4○D12/Dic6 → C2 ⊆ Aut C648C6.17(C4oD12)288,558
C6.18(C4○D12) = C62.20C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C648C6.18(C4oD12)288,498
C6.19(C4○D12) = D6⋊Dic6φ: C4○D12/C4×S3 → C2 ⊆ Aut C696C6.19(C4oD12)288,499
C6.20(C4○D12) = Dic3.D12φ: C4○D12/C4×S3 → C2 ⊆ Aut C648C6.20(C4oD12)288,500
C6.21(C4○D12) = C62.23C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C648C6.21(C4oD12)288,501
C6.22(C4○D12) = C62.25C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C696C6.22(C4oD12)288,503
C6.23(C4○D12) = C62.29C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C696C6.23(C4oD12)288,507
C6.24(C4○D12) = C62.32C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C696C6.24(C4oD12)288,510
C6.25(C4○D12) = C62.35C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C648C6.25(C4oD12)288,513
C6.26(C4○D12) = C62.37C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C696C6.26(C4oD12)288,515
C6.27(C4○D12) = C62.38C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C648C6.27(C4oD12)288,516
C6.28(C4○D12) = C62.40C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C696C6.28(C4oD12)288,518
C6.29(C4○D12) = C62.44C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C648C6.29(C4oD12)288,522
C6.30(C4○D12) = C4×D6⋊S3φ: C4○D12/C4×S3 → C2 ⊆ Aut C696C6.30(C4oD12)288,549
C6.31(C4○D12) = C4×C3⋊D12φ: C4○D12/C4×S3 → C2 ⊆ Aut C648C6.31(C4oD12)288,551
C6.32(C4○D12) = C62.75C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C696C6.32(C4oD12)288,553
C6.33(C4○D12) = D6⋊D12φ: C4○D12/C4×S3 → C2 ⊆ Aut C648C6.33(C4oD12)288,554
C6.34(C4○D12) = C62.82C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C648C6.34(C4oD12)288,560
C6.35(C4○D12) = C62.85C23φ: C4○D12/C4×S3 → C2 ⊆ Aut C696C6.35(C4oD12)288,563
C6.36(C4○D12) = C4×C32⋊2Q8φ: C4○D12/C4×S3 → C2 ⊆ Aut C696C6.36(C4oD12)288,565
C6.37(C4○D12) = Dic3⋊6Dic6φ: C4○D12/D12 → C2 ⊆ Aut C696C6.37(C4oD12)288,492
C6.38(C4○D12) = C62.17C23φ: C4○D12/D12 → C2 ⊆ Aut C696C6.38(C4oD12)288,495
C6.39(C4○D12) = D6⋊7Dic6φ: C4○D12/D12 → C2 ⊆ Aut C696C6.39(C4oD12)288,505
C6.40(C4○D12) = C62.28C23φ: C4○D12/D12 → C2 ⊆ Aut C696C6.40(C4oD12)288,506
C6.41(C4○D12) = C12.27D12φ: C4○D12/D12 → C2 ⊆ Aut C696C6.41(C4oD12)288,508
C6.42(C4○D12) = C62.49C23φ: C4○D12/D12 → C2 ⊆ Aut C696C6.42(C4oD12)288,527
C6.43(C4○D12) = C62.54C23φ: C4○D12/D12 → C2 ⊆ Aut C696C6.43(C4oD12)288,532
C6.44(C4○D12) = C62.55C23φ: C4○D12/D12 → C2 ⊆ Aut C696C6.44(C4oD12)288,533
C6.45(C4○D12) = D6.9D12φ: C4○D12/D12 → C2 ⊆ Aut C696C6.45(C4oD12)288,539
C6.46(C4○D12) = Dic3×D12φ: C4○D12/D12 → C2 ⊆ Aut C696C6.46(C4oD12)288,540
C6.47(C4○D12) = D6⋊3Dic6φ: C4○D12/D12 → C2 ⊆ Aut C696C6.47(C4oD12)288,544
C6.48(C4○D12) = D6⋊2D12φ: C4○D12/D12 → C2 ⊆ Aut C696C6.48(C4oD12)288,556
C6.49(C4○D12) = C62.83C23φ: C4○D12/D12 → C2 ⊆ Aut C696C6.49(C4oD12)288,561
C6.50(C4○D12) = Dic3⋊5Dic6φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C696C6.50(C4oD12)288,485
C6.51(C4○D12) = C62.16C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C696C6.51(C4oD12)288,494
C6.52(C4○D12) = C62.47C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C696C6.52(C4oD12)288,525
C6.53(C4○D12) = Dic3⋊4D12φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.53(C4oD12)288,528
C6.54(C4○D12) = D6.D12φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.54(C4oD12)288,538
C6.55(C4○D12) = C62.65C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.55(C4oD12)288,543
C6.56(C4○D12) = D6⋊4Dic6φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C696C6.56(C4oD12)288,547
C6.57(C4○D12) = C62.94C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.57(C4oD12)288,600
C6.58(C4○D12) = C62.95C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.58(C4oD12)288,601
C6.59(C4○D12) = C62.97C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.59(C4oD12)288,603
C6.60(C4○D12) = C62.98C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.60(C4oD12)288,604
C6.61(C4○D12) = C62.100C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.61(C4oD12)288,606
C6.62(C4○D12) = C62.101C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.62(C4oD12)288,607
C6.63(C4○D12) = C62.56D4φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.63(C4oD12)288,609
C6.64(C4○D12) = C62⋊3Q8φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.64(C4oD12)288,612
C6.65(C4○D12) = C62.60D4φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.65(C4oD12)288,614
C6.66(C4○D12) = C62.111C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.66(C4oD12)288,617
C6.67(C4○D12) = C62.113C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.67(C4oD12)288,619
C6.68(C4○D12) = Dic3×C3⋊D4φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.68(C4oD12)288,620
C6.69(C4○D12) = C62.117C23φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.69(C4oD12)288,623
C6.70(C4○D12) = C62⋊6D4φ: C4○D12/C3⋊D4 → C2 ⊆ Aut C648C6.70(C4oD12)288,626
C6.71(C4○D12) = C4×Dic18φ: C4○D12/C2×C12 → C2 ⊆ Aut C6288C6.71(C4oD12)288,78
C6.72(C4○D12) = C36.6Q8φ: C4○D12/C2×C12 → C2 ⊆ Aut C6288C6.72(C4oD12)288,80
C6.73(C4○D12) = C42⋊2D9φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.73(C4oD12)288,82
C6.74(C4○D12) = C4×D36φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.74(C4oD12)288,83
C6.75(C4○D12) = C42⋊7D9φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.75(C4oD12)288,85
C6.76(C4○D12) = C42⋊3D9φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.76(C4oD12)288,86
C6.77(C4○D12) = C23.8D18φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.77(C4oD12)288,89
C6.78(C4○D12) = C23.9D18φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.78(C4oD12)288,93
C6.79(C4○D12) = D18⋊D4φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.79(C4oD12)288,94
C6.80(C4○D12) = Dic9.D4φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.80(C4oD12)288,95
C6.81(C4○D12) = Dic9.Q8φ: C4○D12/C2×C12 → C2 ⊆ Aut C6288C6.81(C4oD12)288,99
C6.82(C4○D12) = D18.D4φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.82(C4oD12)288,104
C6.83(C4○D12) = D18⋊Q8φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.83(C4oD12)288,106
C6.84(C4○D12) = C4⋊C4⋊D9φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.84(C4oD12)288,108
C6.85(C4○D12) = C36.49D4φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.85(C4oD12)288,134
C6.86(C4○D12) = C23.26D18φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.86(C4oD12)288,136
C6.87(C4○D12) = C4×C9⋊D4φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.87(C4oD12)288,138
C6.88(C4○D12) = C23.28D18φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.88(C4oD12)288,139
C6.89(C4○D12) = C36⋊7D4φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.89(C4oD12)288,140
C6.90(C4○D12) = C2×D36⋊5C2φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.90(C4oD12)288,355
C6.91(C4○D12) = C4×C32⋊4Q8φ: C4○D12/C2×C12 → C2 ⊆ Aut C6288C6.91(C4oD12)288,725
C6.92(C4○D12) = C12.25Dic6φ: C4○D12/C2×C12 → C2 ⊆ Aut C6288C6.92(C4oD12)288,727
C6.93(C4○D12) = C122⋊16C2φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.93(C4oD12)288,729
C6.94(C4○D12) = C4×C12⋊S3φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.94(C4oD12)288,730
C6.95(C4○D12) = C122⋊6C2φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.95(C4oD12)288,732
C6.96(C4○D12) = C122⋊2C2φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.96(C4oD12)288,733
C6.97(C4○D12) = C62.223C23φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.97(C4oD12)288,736
C6.98(C4○D12) = C62.227C23φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.98(C4oD12)288,740
C6.99(C4○D12) = C62.228C23φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.99(C4oD12)288,741
C6.100(C4○D12) = C62.229C23φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.100(C4oD12)288,742
C6.101(C4○D12) = C62.233C23φ: C4○D12/C2×C12 → C2 ⊆ Aut C6288C6.101(C4oD12)288,746
C6.102(C4○D12) = C62.238C23φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.102(C4oD12)288,751
C6.103(C4○D12) = C62.240C23φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.103(C4oD12)288,753
C6.104(C4○D12) = C62.242C23φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.104(C4oD12)288,755
C6.105(C4○D12) = C62⋊10Q8φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.105(C4oD12)288,781
C6.106(C4○D12) = C62.247C23φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.106(C4oD12)288,783
C6.107(C4○D12) = C4×C32⋊7D4φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.107(C4oD12)288,785
C6.108(C4○D12) = C62.129D4φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.108(C4oD12)288,786
C6.109(C4○D12) = C62⋊19D4φ: C4○D12/C2×C12 → C2 ⊆ Aut C6144C6.109(C4oD12)288,787
C6.110(C4○D12) = C12×Dic6central extension (φ=1)96C6.110(C4oD12)288,639
C6.111(C4○D12) = C3×C12.6Q8central extension (φ=1)96C6.111(C4oD12)288,641
C6.112(C4○D12) = C3×C42⋊2S3central extension (φ=1)96C6.112(C4oD12)288,643
C6.113(C4○D12) = C12×D12central extension (φ=1)96C6.113(C4oD12)288,644
C6.114(C4○D12) = C3×C42⋊7S3central extension (φ=1)96C6.114(C4oD12)288,646
C6.115(C4○D12) = C3×C42⋊3S3central extension (φ=1)96C6.115(C4oD12)288,647
C6.116(C4○D12) = C3×C23.8D6central extension (φ=1)48C6.116(C4oD12)288,650
C6.117(C4○D12) = C3×C23.9D6central extension (φ=1)48C6.117(C4oD12)288,654
C6.118(C4○D12) = C3×Dic3⋊D4central extension (φ=1)48C6.118(C4oD12)288,655
C6.119(C4○D12) = C3×C23.11D6central extension (φ=1)48C6.119(C4oD12)288,656
C6.120(C4○D12) = C3×Dic3.Q8central extension (φ=1)96C6.120(C4oD12)288,660
C6.121(C4○D12) = C3×D6.D4central extension (φ=1)96C6.121(C4oD12)288,665
C6.122(C4○D12) = C3×D6⋊Q8central extension (φ=1)96C6.122(C4oD12)288,667
C6.123(C4○D12) = C3×C4⋊C4⋊S3central extension (φ=1)96C6.123(C4oD12)288,669
C6.124(C4○D12) = C3×C12.48D4central extension (φ=1)48C6.124(C4oD12)288,695
C6.125(C4○D12) = C3×C23.26D6central extension (φ=1)48C6.125(C4oD12)288,697
C6.126(C4○D12) = C12×C3⋊D4central extension (φ=1)48C6.126(C4oD12)288,699
C6.127(C4○D12) = C3×C23.28D6central extension (φ=1)48C6.127(C4oD12)288,700
C6.128(C4○D12) = C3×C12⋊7D4central extension (φ=1)48C6.128(C4oD12)288,701

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