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Extensions 1→N→G→Q→1 with N=C32 and Q=D4⋊2S3

Direct product G=N×Q with N=C32 and Q=D4⋊2S3
dρLabelID
C32×D4⋊2S372C3^2xD4:2S3432,705

Semidirect products G=N:Q with N=C32 and Q=D4⋊2S3
extensionφ:Q→Aut NdρLabelID
C32⋊1(D4⋊2S3) = C12⋊S3⋊S3φ: D4⋊2S3/C4 → D6 ⊆ Aut C327212+C3^2:1(D4:2S3)432,295
C32⋊2(D4⋊2S3) = C12.84S32φ: D4⋊2S3/C4 → D6 ⊆ Aut C32726C3^2:2(D4:2S3)432,296
C32⋊3(D4⋊2S3) = C62.8D6φ: D4⋊2S3/C22 → D6 ⊆ Aut C327212-C3^2:3(D4:2S3)432,318
C32⋊4(D4⋊2S3) = C62.9D6φ: D4⋊2S3/C22 → D6 ⊆ Aut C32726C3^2:4(D4:2S3)432,319
C32⋊5(D4⋊2S3) = C62.13D6φ: D4⋊2S3/D4 → S3 ⊆ Aut C327212-C3^2:5(D4:2S3)432,361
C32⋊6(D4⋊2S3) = C62.16D6φ: D4⋊2S3/D4 → S3 ⊆ Aut C32726C3^2:6(D4:2S3)432,391
C32⋊7(D4⋊2S3) = (S3×C6).D6φ: D4⋊2S3/Dic3 → C22 ⊆ Aut C32248+C3^2:7(D4:2S3)432,606
C32⋊8(D4⋊2S3) = D6.S32φ: D4⋊2S3/Dic3 → C22 ⊆ Aut C32488-C3^2:8(D4:2S3)432,607
C32⋊9(D4⋊2S3) = D6.4S32φ: D4⋊2S3/Dic3 → C22 ⊆ Aut C32488-C3^2:9(D4:2S3)432,608
C32⋊10(D4⋊2S3) = D6.3S32φ: D4⋊2S3/Dic3 → C22 ⊆ Aut C32248+C3^2:10(D4:2S3)432,609
C32⋊11(D4⋊2S3) = D6.6S32φ: D4⋊2S3/Dic3 → C22 ⊆ Aut C32488-C3^2:11(D4:2S3)432,611
C32⋊12(D4⋊2S3) = (C3×D12)⋊S3φ: D4⋊2S3/C12 → C22 ⊆ Aut C32144C3^2:12(D4:2S3)432,661
C32⋊13(D4⋊2S3) = D12⋊(C3⋊S3)φ: D4⋊2S3/C12 → C22 ⊆ Aut C3272C3^2:13(D4:2S3)432,662
C32⋊14(D4⋊2S3) = C12⋊S3⋊12S3φ: D4⋊2S3/C12 → C22 ⊆ Aut C32484C3^2:14(D4:2S3)432,688
C32⋊15(D4⋊2S3) = D6⋊S3⋊S3φ: D4⋊2S3/D6 → C22 ⊆ Aut C32488-C3^2:15(D4:2S3)432,610
C32⋊16(D4⋊2S3) = C62.90D6φ: D4⋊2S3/C2×C6 → C22 ⊆ Aut C3272C3^2:16(D4:2S3)432,675
C32⋊17(D4⋊2S3) = C62.91D6φ: D4⋊2S3/C2×C6 → C22 ⊆ Aut C3272C3^2:17(D4:2S3)432,676
C32⋊18(D4⋊2S3) = C62.96D6φ: D4⋊2S3/C2×C6 → C22 ⊆ Aut C32244C3^2:18(D4:2S3)432,693
C32⋊19(D4⋊2S3) = C3×D12⋊S3φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C32484C3^2:19(D4:2S3)432,644
C32⋊20(D4⋊2S3) = C12.39S32φ: D4⋊2S3/Dic6 → C2 ⊆ Aut C3272C3^2:20(D4:2S3)432,664
C32⋊21(D4⋊2S3) = C3×D12⋊5S3φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C32484C3^2:21(D4:2S3)432,643
C32⋊22(D4⋊2S3) = C12.57S32φ: D4⋊2S3/C4×S3 → C2 ⊆ Aut C32144C3^2:22(D4:2S3)432,668
C32⋊23(D4⋊2S3) = C3×D6.3D6φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C32244C3^2:23(D4:2S3)432,652
C32⋊24(D4⋊2S3) = C62.93D6φ: D4⋊2S3/C2×Dic3 → C2 ⊆ Aut C3272C3^2:24(D4:2S3)432,678
C32⋊25(D4⋊2S3) = C3×D6.4D6φ: D4⋊2S3/C3⋊D4 → C2 ⊆ Aut C32244C3^2:25(D4:2S3)432,653
C32⋊26(D4⋊2S3) = C3×C12.D6φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C3272C3^2:26(D4:2S3)432,715
C32⋊27(D4⋊2S3) = C62.100D6φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C32216C3^2:27(D4:2S3)432,725

Non-split extensions G=N.Q with N=C32 and Q=D4⋊2S3
extensionφ:Q→Aut NdρLabelID
C32.(D4⋊2S3) = Dic18⋊2C6φ: D4⋊2S3/D4 → S3 ⊆ Aut C327212-C3^2.(D4:2S3)432,363
C32.2(D4⋊2S3) = D12⋊5D9φ: D4⋊2S3/C12 → C22 ⊆ Aut C321444-C3^2.2(D4:2S3)432,285
C32.3(D4⋊2S3) = D12⋊D9φ: D4⋊2S3/C12 → C22 ⊆ Aut C32724C3^2.3(D4:2S3)432,286
C32.4(D4⋊2S3) = Dic3.D18φ: D4⋊2S3/C2×C6 → C22 ⊆ Aut C32724C3^2.4(D4:2S3)432,309
C32.5(D4⋊2S3) = D18.4D6φ: D4⋊2S3/C2×C6 → C22 ⊆ Aut C32724-C3^2.5(D4:2S3)432,310
C32.6(D4⋊2S3) = C3×D4⋊2D9φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C32724C3^2.6(D4:2S3)432,357
C32.7(D4⋊2S3) = C36.27D6φ: D4⋊2S3/C3×D4 → C2 ⊆ Aut C32216C3^2.7(D4:2S3)432,389

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