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Extensions 1→N→G→Q→1 with N=C3⋊Dic3 and Q=C2×C4

Direct product G=N×Q with N=C3⋊Dic3 and Q=C2×C4
dρLabelID
C2×C4×C3⋊Dic3288C2xC4xC3:Dic3288,779

Semidirect products G=N:Q with N=C3⋊Dic3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C3⋊Dic3⋊1(C2×C4) = S3×Dic3⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic396C3:Dic3:1(C2xC4)288,524
C3⋊Dic3⋊2(C2×C4) = C62.49C23φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic396C3:Dic3:2(C2xC4)288,527
C3⋊Dic3⋊3(C2×C4) = C62.94C23φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic348C3:Dic3:3(C2xC4)288,600
C3⋊Dic3⋊4(C2×C4) = D4×C32⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3248+C3:Dic3:4(C2xC4)288,936
C3⋊Dic3⋊5(C2×C4) = C4×S3×Dic3φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic396C3:Dic3:5(C2xC4)288,523
C3⋊Dic3⋊6(C2×C4) = C4×D6⋊S3φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic396C3:Dic3:6(C2xC4)288,549
C3⋊Dic3⋊7(C2×C4) = C62.72C23φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic396C3:Dic3:7(C2xC4)288,550
C3⋊Dic3⋊8(C2×C4) = C62.225C23φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3144C3:Dic3:8(C2xC4)288,738
C3⋊Dic3⋊9(C2×C4) = C4×C32⋊7D4φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3144C3:Dic3:9(C2xC4)288,785
C3⋊Dic3⋊10(C2×C4) = C4×C6.D6φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3:10(C2xC4)288,530
C3⋊Dic3⋊11(C2×C4) = C62.70C23φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3:11(C2xC4)288,548
C3⋊Dic3⋊12(C2×C4) = C2×Dic32φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic396C3:Dic3:12(C2xC4)288,602
C3⋊Dic3⋊13(C2×C4) = C2×C62.C22φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic396C3:Dic3:13(C2xC4)288,615
C3⋊Dic3⋊14(C2×C4) = C4⋊C4×C3⋊S3φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic3144C3:Dic3:14(C2xC4)288,748
C3⋊Dic3⋊15(C2×C4) = C2×C6.Dic6φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic3288C3:Dic3:15(C2xC4)288,780
C3⋊Dic3⋊16(C2×C4) = C2×C4×C32⋊C4φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3:16(C2xC4)288,932
C3⋊Dic3⋊17(C2×C4) = C2×C4⋊(C32⋊C4)φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3:17(C2xC4)288,933
C3⋊Dic3⋊18(C2×C4) = C42×C3⋊S3φ: trivial image144C3:Dic3:18(C2xC4)288,728

Non-split extensions G=N.Q with N=C3⋊Dic3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
C3⋊Dic3.1(C2×C4) = C4.3F9φ: C2×C4/C2 → C4 ⊆ Out C3⋊Dic3488C3:Dic3.1(C2xC4)288,861
C3⋊Dic3.2(C2×C4) = C4.F9φ: C2×C4/C2 → C4 ⊆ Out C3⋊Dic3488C3:Dic3.2(C2xC4)288,862
C3⋊Dic3.3(C2×C4) = C2×C2.F9φ: C2×C4/C2 → C4 ⊆ Out C3⋊Dic396C3:Dic3.3(C2xC4)288,865
C3⋊Dic3.4(C2×C4) = C22.F9φ: C2×C4/C2 → C4 ⊆ Out C3⋊Dic3488-C3:Dic3.4(C2xC4)288,866
C3⋊Dic3.5(C2×C4) = C3⋊S3.2D8φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3244C3:Dic3.5(C2xC4)288,377
C3⋊Dic3.6(C2×C4) = C3⋊S3.2Q16φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3484C3:Dic3.6(C2xC4)288,378
C3⋊Dic3.7(C2×C4) = C32⋊C4≀C2φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3484C3:Dic3.7(C2xC4)288,379
C3⋊Dic3.8(C2×C4) = C4.19S3≀C2φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3484C3:Dic3.8(C2xC4)288,381
C3⋊Dic3.9(C2×C4) = C62.3D4φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic348C3:Dic3.9(C2xC4)288,387
C3⋊Dic3.10(C2×C4) = C62.4D4φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic396C3:Dic3.10(C2xC4)288,388
C3⋊Dic3.11(C2×C4) = Dic3≀C2φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3244-C3:Dic3.11(C2xC4)288,389
C3⋊Dic3.12(C2×C4) = C62.6D4φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic396C3:Dic3.12(C2xC4)288,390
C3⋊Dic3.13(C2×C4) = C62.7D4φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic396C3:Dic3.13(C2xC4)288,391
C3⋊Dic3.14(C2×C4) = C4.PSU3(𝔽2)φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3488C3:Dic3.14(C2xC4)288,393
C3⋊Dic3.15(C2×C4) = C4.2PSU3(𝔽2)φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3488C3:Dic3.15(C2xC4)288,394
C3⋊Dic3.16(C2×C4) = C62.2Q8φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3488-C3:Dic3.16(C2xC4)288,396
C3⋊Dic3.17(C2×C4) = S3×C8⋊S3φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3484C3:Dic3.17(C2xC4)288,438
C3⋊Dic3.18(C2×C4) = C24.64D6φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3484C3:Dic3.18(C2xC4)288,452
C3⋊Dic3.19(C2×C4) = C3⋊C8.22D6φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3484C3:Dic3.19(C2xC4)288,465
C3⋊Dic3.20(C2×C4) = Dic3⋊5Dic6φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic396C3:Dic3.20(C2xC4)288,485
C3⋊Dic3.21(C2×C4) = Dic3⋊6Dic6φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic396C3:Dic3.21(C2xC4)288,492
C3⋊Dic3.22(C2×C4) = C62.47C23φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic396C3:Dic3.22(C2xC4)288,525
C3⋊Dic3.23(C2×C4) = C62.(C2×C4)φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3488-C3:Dic3.23(C2xC4)288,935
C3⋊Dic3.24(C2×C4) = Q8×C32⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3⋊Dic3488-C3:Dic3.24(C2xC4)288,938
C3⋊Dic3.25(C2×C4) = C8×C32⋊C4φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.25(C2xC4)288,414
C3⋊Dic3.26(C2×C4) = (C3×C24)⋊C4φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.26(C2xC4)288,415
C3⋊Dic3.27(C2×C4) = C4×C32⋊2C8φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic396C3:Dic3.27(C2xC4)288,423
C3⋊Dic3.28(C2×C4) = C32⋊2C8⋊C4φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic396C3:Dic3.28(C2xC4)288,425
C3⋊Dic3.29(C2×C4) = S32×C8φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.29(C2xC4)288,437
C3⋊Dic3.30(C2×C4) = C24⋊D6φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.30(C2xC4)288,439
C3⋊Dic3.31(C2×C4) = C24.63D6φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.31(C2xC4)288,451
C3⋊Dic3.32(C2×C4) = C24.D6φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3484C3:Dic3.32(C2xC4)288,453
C3⋊Dic3.33(C2×C4) = C62.8C23φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic396C3:Dic3.33(C2xC4)288,486
C3⋊Dic3.34(C2×C4) = C62.48C23φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic396C3:Dic3.34(C2xC4)288,526
C3⋊Dic3.35(C2×C4) = C4×C32⋊2Q8φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic396C3:Dic3.35(C2xC4)288,565
C3⋊Dic3.36(C2×C4) = C4×C32⋊4Q8φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3288C3:Dic3.36(C2xC4)288,725
C3⋊Dic3.37(C2×C4) = C62.231C23φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3288C3:Dic3.37(C2xC4)288,744
C3⋊Dic3.38(C2×C4) = C24.95D6φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3144C3:Dic3.38(C2xC4)288,758
C3⋊Dic3.39(C2×C4) = C24.47D6φ: C2×C4/C4 → C2 ⊆ Out C3⋊Dic3144C3:Dic3.39(C2xC4)288,764
C3⋊Dic3.40(C2×C4) = C2×C12.29D6φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3.40(C2xC4)288,464
C3⋊Dic3.41(C2×C4) = C3⋊C8⋊20D6φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic3244C3:Dic3.41(C2xC4)288,466
C3⋊Dic3.42(C2×C4) = C2×C12.31D6φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3.42(C2xC4)288,468
C3⋊Dic3.43(C2×C4) = C62.19C23φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3.43(C2xC4)288,497
C3⋊Dic3.44(C2×C4) = C62.44C23φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3.44(C2xC4)288,522
C3⋊Dic3.45(C2×C4) = C62.99C23φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3.45(C2xC4)288,605
C3⋊Dic3.46(C2×C4) = C122⋊16C2φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic3144C3:Dic3.46(C2xC4)288,729
C3⋊Dic3.47(C2×C4) = C62.221C23φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic3144C3:Dic3.47(C2xC4)288,734
C3⋊Dic3.48(C2×C4) = C2×C24⋊S3φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic3144C3:Dic3.48(C2xC4)288,757
C3⋊Dic3.49(C2×C4) = M4(2)×C3⋊S3φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic372C3:Dic3.49(C2xC4)288,763
C3⋊Dic3.50(C2×C4) = C2×C3⋊S3⋊3C8φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3.50(C2xC4)288,929
C3⋊Dic3.51(C2×C4) = C2×C32⋊M4(2)φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3.51(C2xC4)288,930
C3⋊Dic3.52(C2×C4) = C3⋊S3⋊M4(2)φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic3244C3:Dic3.52(C2xC4)288,931
C3⋊Dic3.53(C2×C4) = (C6×C12)⋊5C4φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic3244C3:Dic3.53(C2xC4)288,934
C3⋊Dic3.54(C2×C4) = C22×C32⋊2C8φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic396C3:Dic3.54(C2xC4)288,939
C3⋊Dic3.55(C2×C4) = C2×C62.C4φ: C2×C4/C22 → C2 ⊆ Out C3⋊Dic348C3:Dic3.55(C2xC4)288,940
C3⋊Dic3.56(C2×C4) = C62.236C23φ: trivial image144C3:Dic3.56(C2xC4)288,749
C3⋊Dic3.57(C2×C4) = C2×C8×C3⋊S3φ: trivial image144C3:Dic3.57(C2xC4)288,756

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