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

Direct product G=N×Q with N=C32 and Q=S3×D4
dρLabelID
S3×D4×C3272S3xD4xC3^2432,704

Semidirect products G=N:Q with N=C32 and Q=S3×D4
extensionφ:Q→Aut NdρLabelID
C32⋊1(S3×D4) = C3⋊S3⋊D12φ: S3×D4/C4 → D6 ⊆ Aut C323612+C3^2:1(S3xD4)432,301
C32⋊2(S3×D4) = C12.86S32φ: S3×D4/C4 → D6 ⊆ Aut C32366+C3^2:2(S3xD4)432,302
C32⋊3(S3×D4) = C62⋊D6φ: S3×D4/C22 → D6 ⊆ Aut C323612+C3^2:3(S3xD4)432,323
C32⋊4(S3×D4) = C62⋊2D6φ: S3×D4/C22 → D6 ⊆ Aut C32366C3^2:4(S3xD4)432,324
C32⋊5(S3×D4) = S3×S3≀C2φ: S3×D4/S3 → D4 ⊆ Aut C32128+C3^2:5(S3xD4)432,741
C32⋊6(S3×D4) = D4×C32⋊C6φ: S3×D4/D4 → S3 ⊆ Aut C323612+C3^2:6(S3xD4)432,360
C32⋊7(S3×D4) = D4×He3⋊C2φ: S3×D4/D4 → S3 ⊆ Aut C32366C3^2:7(S3xD4)432,390
C32⋊8(S3×D4) = (S3×C6)⋊D6φ: S3×D4/Dic3 → C22 ⊆ Aut C32248+C3^2:8(S3xD4)432,601
C32⋊9(S3×D4) = C3⋊S3⋊4D12φ: S3×D4/Dic3 → C22 ⊆ Aut C32248+C3^2:9(S3xD4)432,602
C32⋊10(S3×D4) = C3⋊S3×D12φ: S3×D4/C12 → C22 ⊆ Aut C3272C3^2:10(S3xD4)432,672
C32⋊11(S3×D4) = C12⋊S32φ: S3×D4/C12 → C22 ⊆ Aut C3272C3^2:11(S3xD4)432,673
C32⋊12(S3×D4) = C12⋊3S32φ: S3×D4/C12 → C22 ⊆ Aut C32484C3^2:12(S3xD4)432,691
C32⋊13(S3×D4) = S3×D6⋊S3φ: S3×D4/D6 → C22 ⊆ Aut C32488-C3^2:13(S3xD4)432,597
C32⋊14(S3×D4) = S3×C3⋊D12φ: S3×D4/D6 → C22 ⊆ Aut C32248+C3^2:14(S3xD4)432,598
C32⋊15(S3×D4) = D6⋊4S32φ: S3×D4/D6 → C22 ⊆ Aut C32248+C3^2:15(S3xD4)432,599
C32⋊16(S3×D4) = D6⋊S32φ: S3×D4/D6 → C22 ⊆ Aut C32488-C3^2:16(S3xD4)432,600
C32⋊17(S3×D4) = C3⋊S3×C3⋊D4φ: S3×D4/C2×C6 → C22 ⊆ Aut C3272C3^2:17(S3xD4)432,685
C32⋊18(S3×D4) = C62⋊23D6φ: S3×D4/C2×C6 → C22 ⊆ Aut C3236C3^2:18(S3xD4)432,686
C32⋊19(S3×D4) = C62⋊24D6φ: S3×D4/C2×C6 → C22 ⊆ Aut C32244C3^2:19(S3xD4)432,696
C32⋊20(S3×D4) = C3×S3×D12φ: S3×D4/C4×S3 → C2 ⊆ Aut C32484C3^2:20(S3xD4)432,649
C32⋊21(S3×D4) = S3×C12⋊S3φ: S3×D4/C4×S3 → C2 ⊆ Aut C3272C3^2:21(S3xD4)432,671
C32⋊22(S3×D4) = C3×D6⋊D6φ: S3×D4/D12 → C2 ⊆ Aut C32484C3^2:22(S3xD4)432,650
C32⋊23(S3×D4) = C3×Dic3⋊D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C32244C3^2:23(S3xD4)432,659
C32⋊24(S3×D4) = C3×D4×C3⋊S3φ: S3×D4/C3×D4 → C2 ⊆ Aut C3272C3^2:24(S3xD4)432,714
C32⋊25(S3×D4) = D4×C33⋊C2φ: S3×D4/C3×D4 → C2 ⊆ Aut C32108C3^2:25(S3xD4)432,724
C32⋊26(S3×D4) = C3×S3×C3⋊D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C32244C3^2:26(S3xD4)432,658
C32⋊27(S3×D4) = S3×C32⋊7D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C3272C3^2:27(S3xD4)432,684

Non-split extensions G=N.Q with N=C32 and Q=S3×D4
extensionφ:Q→Aut NdρLabelID
C32.(S3×D4) = D4×C9⋊C6φ: S3×D4/D4 → S3 ⊆ Aut C323612+C3^2.(S3xD4)432,362
C32.2(S3×D4) = D9×D12φ: S3×D4/C12 → C22 ⊆ Aut C32724+C3^2.2(S3xD4)432,292
C32.3(S3×D4) = C36⋊D6φ: S3×D4/C12 → C22 ⊆ Aut C32724C3^2.3(S3xD4)432,293
C32.4(S3×D4) = D9×C3⋊D4φ: S3×D4/C2×C6 → C22 ⊆ Aut C32724C3^2.4(S3xD4)432,314
C32.5(S3×D4) = D18⋊D6φ: S3×D4/C2×C6 → C22 ⊆ Aut C32364+C3^2.5(S3xD4)432,315
C32.6(S3×D4) = C3×D4×D9φ: S3×D4/C3×D4 → C2 ⊆ Aut C32724C3^2.6(S3xD4)432,356
C32.7(S3×D4) = D4×C9⋊S3φ: S3×D4/C3×D4 → C2 ⊆ Aut C32108C3^2.7(S3xD4)432,388

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