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Extensions 1→N→G→Q→1 with N=C6 and Q=C2×C3⋊D4

Direct product G=N×Q with N=C6 and Q=C2×C3⋊D4
dρLabelID
C2×C6×C3⋊D448C2xC6xC3:D4288,1002

Semidirect products G=N:Q with N=C6 and Q=C2×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C6⋊1(C2×C3⋊D4) = C22×C3⋊D12φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6:1(C2xC3:D4)288,974
C6⋊2(C2×C3⋊D4) = C2×S3×C3⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6:2(C2xC3:D4)288,976
C6⋊3(C2×C3⋊D4) = C22×D6⋊S3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6:3(C2xC3:D4)288,973
C6⋊4(C2×C3⋊D4) = C22×C32⋊7D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6:4(C2xC3:D4)288,1017

Non-split extensions G=N.Q with N=C6 and Q=C2×C3⋊D4
extensionφ:Q→Aut NdρLabelID
C6.1(C2×C3⋊D4) = C2×C3⋊D24φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.1(C2xC3:D4)288,472
C6.2(C2×C3⋊D4) = D12⋊18D6φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C6244+C6.2(C2xC3:D4)288,473
C6.3(C2×C3⋊D4) = C2×D12.S3φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C696C6.3(C2xC3:D4)288,476
C6.4(C2×C3⋊D4) = D12.27D6φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C6484C6.4(C2xC3:D4)288,477
C6.5(C2×C3⋊D4) = D12.28D6φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C6484C6.5(C2xC3:D4)288,478
C6.6(C2×C3⋊D4) = D12.29D6φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C6484-C6.6(C2xC3:D4)288,479
C6.7(C2×C3⋊D4) = C2×C32⋊5SD16φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.7(C2xC3:D4)288,480
C6.8(C2×C3⋊D4) = Dic6.29D6φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C6484C6.8(C2xC3:D4)288,481
C6.9(C2×C3⋊D4) = C2×C32⋊3Q16φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C696C6.9(C2xC3:D4)288,483
C6.10(C2×C3⋊D4) = D6⋊7Dic6φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C696C6.10(C2xC3:D4)288,505
C6.11(C2×C3⋊D4) = C12.27D12φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C696C6.11(C2xC3:D4)288,508
C6.12(C2×C3⋊D4) = C12.28D12φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.12(C2xC3:D4)288,512
C6.13(C2×C3⋊D4) = Dic3⋊Dic6φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C696C6.13(C2xC3:D4)288,514
C6.14(C2×C3⋊D4) = C12.30D12φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.14(C2xC3:D4)288,519
C6.15(C2×C3⋊D4) = C4×C3⋊D12φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.15(C2xC3:D4)288,551
C6.16(C2×C3⋊D4) = C12⋊7D12φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.16(C2xC3:D4)288,557
C6.17(C2×C3⋊D4) = C12⋊D12φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.17(C2xC3:D4)288,559
C6.18(C2×C3⋊D4) = C12⋊2D12φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.18(C2xC3:D4)288,564
C6.19(C2×C3⋊D4) = C62.57D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.19(C2xC3:D4)288,610
C6.20(C2×C3⋊D4) = C2×C6.D12φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.20(C2xC3:D4)288,611
C6.21(C2×C3⋊D4) = C2×Dic3⋊Dic3φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C696C6.21(C2xC3:D4)288,613
C6.22(C2×C3⋊D4) = C62.60D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.22(C2xC3:D4)288,614
C6.23(C2×C3⋊D4) = C62⋊5D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.23(C2xC3:D4)288,625
C6.24(C2×C3⋊D4) = C62⋊6D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C648C6.24(C2xC3:D4)288,626
C6.25(C2×C3⋊D4) = C62⋊8D4φ: C2×C3⋊D4/C2×Dic3 → C2 ⊆ Aut C624C6.25(C2xC3:D4)288,629
C6.26(C2×C3⋊D4) = C62.9C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C696C6.26(C2xC3:D4)288,487
C6.27(C2×C3⋊D4) = C62.20C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.27(C2xC3:D4)288,498
C6.28(C2×C3⋊D4) = D6⋊Dic6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C696C6.28(C2xC3:D4)288,499
C6.29(C2×C3⋊D4) = S3×Dic3⋊C4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C696C6.29(C2xC3:D4)288,524
C6.30(C2×C3⋊D4) = C62.49C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C696C6.30(C2xC3:D4)288,527
C6.31(C2×C3⋊D4) = C62.54C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C696C6.31(C2xC3:D4)288,532
C6.32(C2×C3⋊D4) = C62.55C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C696C6.32(C2xC3:D4)288,533
C6.33(C2×C3⋊D4) = Dic3⋊D12φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.33(C2xC3:D4)288,534
C6.34(C2×C3⋊D4) = D6⋊1Dic6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C696C6.34(C2xC3:D4)288,535
C6.35(C2×C3⋊D4) = C62.58C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.35(C2xC3:D4)288,536
C6.36(C2×C3⋊D4) = C62.74C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.36(C2xC3:D4)288,552
C6.37(C2×C3⋊D4) = C62.75C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C696C6.37(C2xC3:D4)288,553
C6.38(C2×C3⋊D4) = D6⋊D12φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.38(C2xC3:D4)288,554
C6.39(C2×C3⋊D4) = C62.77C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.39(C2xC3:D4)288,555
C6.40(C2×C3⋊D4) = S3×D6⋊C4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.40(C2xC3:D4)288,568
C6.41(C2×C3⋊D4) = D6⋊4D12φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.41(C2xC3:D4)288,570
C6.42(C2×C3⋊D4) = S3×D4⋊S3φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.42(C2xC3:D4)288,572
C6.43(C2×C3⋊D4) = Dic6⋊3D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.43(C2xC3:D4)288,573
C6.44(C2×C3⋊D4) = S3×D4.S3φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488-C6.44(C2xC3:D4)288,576
C6.45(C2×C3⋊D4) = Dic6.19D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488-C6.45(C2xC3:D4)288,577
C6.46(C2×C3⋊D4) = D12⋊9D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488-C6.46(C2xC3:D4)288,580
C6.47(C2×C3⋊D4) = D12.22D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488-C6.47(C2xC3:D4)288,581
C6.48(C2×C3⋊D4) = D12.7D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.48(C2xC3:D4)288,582
C6.49(C2×C3⋊D4) = Dic6.20D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.49(C2xC3:D4)288,583
C6.50(C2×C3⋊D4) = S3×Q8⋊2S3φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.50(C2xC3:D4)288,586
C6.51(C2×C3⋊D4) = D12⋊6D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.51(C2xC3:D4)288,587
C6.52(C2×C3⋊D4) = S3×C3⋊Q16φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6968-C6.52(C2xC3:D4)288,590
C6.53(C2×C3⋊D4) = D12.11D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6968-C6.53(C2xC3:D4)288,591
C6.54(C2×C3⋊D4) = D12.24D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6968-C6.54(C2xC3:D4)288,594
C6.55(C2×C3⋊D4) = D12.12D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6968-C6.55(C2xC3:D4)288,595
C6.56(C2×C3⋊D4) = Dic6.22D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.56(C2xC3:D4)288,596
C6.57(C2×C3⋊D4) = D12.13D6φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C6488+C6.57(C2xC3:D4)288,597
C6.58(C2×C3⋊D4) = C62.94C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.58(C2xC3:D4)288,600
C6.59(C2×C3⋊D4) = C62.100C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.59(C2xC3:D4)288,606
C6.60(C2×C3⋊D4) = C62.101C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.60(C2xC3:D4)288,607
C6.61(C2×C3⋊D4) = C62⋊3Q8φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.61(C2xC3:D4)288,612
C6.62(C2×C3⋊D4) = S3×C6.D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.62(C2xC3:D4)288,616
C6.63(C2×C3⋊D4) = C62.111C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.63(C2xC3:D4)288,617
C6.64(C2×C3⋊D4) = C62.112C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.64(C2xC3:D4)288,618
C6.65(C2×C3⋊D4) = C62.113C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.65(C2xC3:D4)288,619
C6.66(C2×C3⋊D4) = Dic3×C3⋊D4φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.66(C2xC3:D4)288,620
C6.67(C2×C3⋊D4) = C62.121C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.67(C2xC3:D4)288,627
C6.68(C2×C3⋊D4) = C62.125C23φ: C2×C3⋊D4/C3⋊D4 → C2 ⊆ Aut C648C6.68(C2xC3:D4)288,631
C6.69(C2×C3⋊D4) = C2×C32⋊2D8φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.69(C2xC3:D4)288,469
C6.70(C2×C3⋊D4) = D12.30D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C6484C6.70(C2xC3:D4)288,470
C6.71(C2×C3⋊D4) = D12⋊20D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C6484C6.71(C2xC3:D4)288,471
C6.72(C2×C3⋊D4) = C2×Dic6⋊S3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.72(C2xC3:D4)288,474
C6.73(C2×C3⋊D4) = D12.32D6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C6484C6.73(C2xC3:D4)288,475
C6.74(C2×C3⋊D4) = C2×C32⋊2Q16φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.74(C2xC3:D4)288,482
C6.75(C2×C3⋊D4) = D6⋊6Dic6φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.75(C2xC3:D4)288,504
C6.76(C2×C3⋊D4) = C62.33C23φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.76(C2xC3:D4)288,511
C6.77(C2×C3⋊D4) = C62.43C23φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.77(C2xC3:D4)288,521
C6.78(C2×C3⋊D4) = C4×D6⋊S3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.78(C2xC3:D4)288,549
C6.79(C2×C3⋊D4) = D6⋊2D12φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.79(C2xC3:D4)288,556
C6.80(C2×C3⋊D4) = C62.84C23φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.80(C2xC3:D4)288,562
C6.81(C2×C3⋊D4) = C2×D6⋊Dic3φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.81(C2xC3:D4)288,608
C6.82(C2×C3⋊D4) = C62.56D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C648C6.82(C2xC3:D4)288,609
C6.83(C2×C3⋊D4) = C2×C62.C22φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C696C6.83(C2xC3:D4)288,615
C6.84(C2×C3⋊D4) = C62⋊4D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C648C6.84(C2xC3:D4)288,624
C6.85(C2×C3⋊D4) = C62⋊7D4φ: C2×C3⋊D4/C22×S3 → C2 ⊆ Aut C648C6.85(C2xC3:D4)288,628
C6.86(C2×C3⋊D4) = C2×Dic9⋊C4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6288C6.86(C2xC3:D4)288,133
C6.87(C2×C3⋊D4) = C36.49D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.87(C2xC3:D4)288,134
C6.88(C2×C3⋊D4) = C2×D18⋊C4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.88(C2xC3:D4)288,137
C6.89(C2×C3⋊D4) = C4×C9⋊D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.89(C2xC3:D4)288,138
C6.90(C2×C3⋊D4) = C23.28D18φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.90(C2xC3:D4)288,139
C6.91(C2×C3⋊D4) = C36⋊7D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.91(C2xC3:D4)288,140
C6.92(C2×C3⋊D4) = C2×D4.D9φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.92(C2xC3:D4)288,141
C6.93(C2×C3⋊D4) = C2×D4⋊D9φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.93(C2xC3:D4)288,142
C6.94(C2×C3⋊D4) = D36⋊6C22φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6724C6.94(C2xC3:D4)288,143
C6.95(C2×C3⋊D4) = C23.23D18φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.95(C2xC3:D4)288,145
C6.96(C2×C3⋊D4) = C36.17D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.96(C2xC3:D4)288,146
C6.97(C2×C3⋊D4) = C23⋊2D18φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C672C6.97(C2xC3:D4)288,147
C6.98(C2×C3⋊D4) = C36⋊2D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.98(C2xC3:D4)288,148
C6.99(C2×C3⋊D4) = Dic9⋊D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.99(C2xC3:D4)288,149
C6.100(C2×C3⋊D4) = C36⋊D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.100(C2xC3:D4)288,150
C6.101(C2×C3⋊D4) = C2×C9⋊Q16φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6288C6.101(C2xC3:D4)288,151
C6.102(C2×C3⋊D4) = C2×Q8⋊2D9φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.102(C2xC3:D4)288,152
C6.103(C2×C3⋊D4) = C36.C23φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C61444C6.103(C2xC3:D4)288,153
C6.104(C2×C3⋊D4) = Dic9⋊Q8φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6288C6.104(C2xC3:D4)288,154
C6.105(C2×C3⋊D4) = D18⋊3Q8φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.105(C2xC3:D4)288,156
C6.106(C2×C3⋊D4) = C36.23D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.106(C2xC3:D4)288,157
C6.107(C2×C3⋊D4) = D4.D18φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C61444-C6.107(C2xC3:D4)288,159
C6.108(C2×C3⋊D4) = D4⋊D18φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6724+C6.108(C2xC3:D4)288,160
C6.109(C2×C3⋊D4) = D4.9D18φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C61444C6.109(C2xC3:D4)288,161
C6.110(C2×C3⋊D4) = C2×C18.D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.110(C2xC3:D4)288,162
C6.111(C2×C3⋊D4) = C24⋊4D9φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C672C6.111(C2xC3:D4)288,163
C6.112(C2×C3⋊D4) = C22×C9⋊D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.112(C2xC3:D4)288,366
C6.113(C2×C3⋊D4) = C2×C6.Dic6φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6288C6.113(C2xC3:D4)288,780
C6.114(C2×C3⋊D4) = C62⋊10Q8φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.114(C2xC3:D4)288,781
C6.115(C2×C3⋊D4) = C2×C6.11D12φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.115(C2xC3:D4)288,784
C6.116(C2×C3⋊D4) = C4×C32⋊7D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.116(C2xC3:D4)288,785
C6.117(C2×C3⋊D4) = C62.129D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.117(C2xC3:D4)288,786
C6.118(C2×C3⋊D4) = C62⋊19D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.118(C2xC3:D4)288,787
C6.119(C2×C3⋊D4) = C2×C32⋊7D8φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.119(C2xC3:D4)288,788
C6.120(C2×C3⋊D4) = C62.131D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C672C6.120(C2xC3:D4)288,789
C6.121(C2×C3⋊D4) = C2×C32⋊9SD16φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.121(C2xC3:D4)288,790
C6.122(C2×C3⋊D4) = C62.72D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.122(C2xC3:D4)288,792
C6.123(C2×C3⋊D4) = C62.254C23φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.123(C2xC3:D4)288,793
C6.124(C2×C3⋊D4) = C62⋊13D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C672C6.124(C2xC3:D4)288,794
C6.125(C2×C3⋊D4) = C62.256C23φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.125(C2xC3:D4)288,795
C6.126(C2×C3⋊D4) = C62⋊14D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.126(C2xC3:D4)288,796
C6.127(C2×C3⋊D4) = C62.258C23φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.127(C2xC3:D4)288,797
C6.128(C2×C3⋊D4) = C2×C32⋊11SD16φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.128(C2xC3:D4)288,798
C6.129(C2×C3⋊D4) = C62.134D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.129(C2xC3:D4)288,799
C6.130(C2×C3⋊D4) = C2×C32⋊7Q16φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6288C6.130(C2xC3:D4)288,800
C6.131(C2×C3⋊D4) = C62.259C23φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6288C6.131(C2xC3:D4)288,801
C6.132(C2×C3⋊D4) = C62.261C23φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.132(C2xC3:D4)288,803
C6.133(C2×C3⋊D4) = C62.262C23φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.133(C2xC3:D4)288,804
C6.134(C2×C3⋊D4) = C62.73D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C672C6.134(C2xC3:D4)288,806
C6.135(C2×C3⋊D4) = C62.74D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.135(C2xC3:D4)288,807
C6.136(C2×C3⋊D4) = C62.75D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.136(C2xC3:D4)288,808
C6.137(C2×C3⋊D4) = C2×C62⋊5C4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C6144C6.137(C2xC3:D4)288,809
C6.138(C2×C3⋊D4) = C62⋊24D4φ: C2×C3⋊D4/C22×C6 → C2 ⊆ Aut C672C6.138(C2xC3:D4)288,810
C6.139(C2×C3⋊D4) = C6×Dic3⋊C4central extension (φ=1)96C6.139(C2xC3:D4)288,694
C6.140(C2×C3⋊D4) = C3×C12.48D4central extension (φ=1)48C6.140(C2xC3:D4)288,695
C6.141(C2×C3⋊D4) = C6×D6⋊C4central extension (φ=1)96C6.141(C2xC3:D4)288,698
C6.142(C2×C3⋊D4) = C12×C3⋊D4central extension (φ=1)48C6.142(C2xC3:D4)288,699
C6.143(C2×C3⋊D4) = C3×C23.28D6central extension (φ=1)48C6.143(C2xC3:D4)288,700
C6.144(C2×C3⋊D4) = C3×C12⋊7D4central extension (φ=1)48C6.144(C2xC3:D4)288,701
C6.145(C2×C3⋊D4) = C6×D4⋊S3central extension (φ=1)48C6.145(C2xC3:D4)288,702
C6.146(C2×C3⋊D4) = C3×D12⋊6C22central extension (φ=1)244C6.146(C2xC3:D4)288,703
C6.147(C2×C3⋊D4) = C6×D4.S3central extension (φ=1)48C6.147(C2xC3:D4)288,704
C6.148(C2×C3⋊D4) = C3×C23.23D6central extension (φ=1)48C6.148(C2xC3:D4)288,706
C6.149(C2×C3⋊D4) = C3×C23.12D6central extension (φ=1)48C6.149(C2xC3:D4)288,707
C6.150(C2×C3⋊D4) = C3×C23⋊2D6central extension (φ=1)48C6.150(C2xC3:D4)288,708
C6.151(C2×C3⋊D4) = C3×D6⋊3D4central extension (φ=1)48C6.151(C2xC3:D4)288,709
C6.152(C2×C3⋊D4) = C3×C23.14D6central extension (φ=1)48C6.152(C2xC3:D4)288,710
C6.153(C2×C3⋊D4) = C3×C12⋊3D4central extension (φ=1)48C6.153(C2xC3:D4)288,711
C6.154(C2×C3⋊D4) = C6×Q8⋊2S3central extension (φ=1)96C6.154(C2xC3:D4)288,712
C6.155(C2×C3⋊D4) = C3×Q8.11D6central extension (φ=1)484C6.155(C2xC3:D4)288,713
C6.156(C2×C3⋊D4) = C6×C3⋊Q16central extension (φ=1)96C6.156(C2xC3:D4)288,714
C6.157(C2×C3⋊D4) = C3×Dic3⋊Q8central extension (φ=1)96C6.157(C2xC3:D4)288,715
C6.158(C2×C3⋊D4) = C3×D6⋊3Q8central extension (φ=1)96C6.158(C2xC3:D4)288,717
C6.159(C2×C3⋊D4) = C3×C12.23D4central extension (φ=1)96C6.159(C2xC3:D4)288,718
C6.160(C2×C3⋊D4) = C3×D4⋊D6central extension (φ=1)484C6.160(C2xC3:D4)288,720
C6.161(C2×C3⋊D4) = C3×Q8.13D6central extension (φ=1)484C6.161(C2xC3:D4)288,721
C6.162(C2×C3⋊D4) = C3×Q8.14D6central extension (φ=1)484C6.162(C2xC3:D4)288,722
C6.163(C2×C3⋊D4) = C6×C6.D4central extension (φ=1)48C6.163(C2xC3:D4)288,723
C6.164(C2×C3⋊D4) = C3×C24⋊4S3central extension (φ=1)24C6.164(C2xC3:D4)288,724

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