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Extensions 1→N→G→Q→1 with N=C33 and Q=C4○D4

Direct product G=N×Q with N=C33 and Q=C4○D4
dρLabelID
C4○D4×C33216C4oD4xC3^3432,733

Semidirect products G=N:Q with N=C33 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C33⋊1(C4○D4) = (S3×C6).D6φ: C4○D4/C2 → C23 ⊆ Aut C33248+C3^3:1(C4oD4)432,606
C33⋊2(C4○D4) = D6.S32φ: C4○D4/C2 → C23 ⊆ Aut C33488-C3^3:2(C4oD4)432,607
C33⋊3(C4○D4) = D6.4S32φ: C4○D4/C2 → C23 ⊆ Aut C33488-C3^3:3(C4oD4)432,608
C33⋊4(C4○D4) = D6.3S32φ: C4○D4/C2 → C23 ⊆ Aut C33248+C3^3:4(C4oD4)432,609
C33⋊5(C4○D4) = D6⋊S3⋊S3φ: C4○D4/C2 → C23 ⊆ Aut C33488-C3^3:5(C4oD4)432,610
C33⋊6(C4○D4) = D6.6S32φ: C4○D4/C2 → C23 ⊆ Aut C33488-C3^3:6(C4oD4)432,611
C33⋊7(C4○D4) = Dic3.S32φ: C4○D4/C2 → C23 ⊆ Aut C33248+C3^3:7(C4oD4)432,612
C33⋊8(C4○D4) = C3×D12⋊5S3φ: C4○D4/C4 → C22 ⊆ Aut C33484C3^3:8(C4oD4)432,643
C33⋊9(C4○D4) = C3×D12⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C33484C3^3:9(C4oD4)432,644
C33⋊10(C4○D4) = C3×D6.D6φ: C4○D4/C4 → C22 ⊆ Aut C33484C3^3:10(C4oD4)432,646
C33⋊11(C4○D4) = C3×D6.6D6φ: C4○D4/C4 → C22 ⊆ Aut C33484C3^3:11(C4oD4)432,647
C33⋊12(C4○D4) = (C3×D12)⋊S3φ: C4○D4/C4 → C22 ⊆ Aut C33144C3^3:12(C4oD4)432,661
C33⋊13(C4○D4) = D12⋊(C3⋊S3)φ: C4○D4/C4 → C22 ⊆ Aut C3372C3^3:13(C4oD4)432,662
C33⋊14(C4○D4) = C12.39S32φ: C4○D4/C4 → C22 ⊆ Aut C3372C3^3:14(C4oD4)432,664
C33⋊15(C4○D4) = C12.40S32φ: C4○D4/C4 → C22 ⊆ Aut C3372C3^3:15(C4oD4)432,665
C33⋊16(C4○D4) = C12.73S32φ: C4○D4/C4 → C22 ⊆ Aut C3372C3^3:16(C4oD4)432,667
C33⋊17(C4○D4) = C12.57S32φ: C4○D4/C4 → C22 ⊆ Aut C33144C3^3:17(C4oD4)432,668
C33⋊18(C4○D4) = C12.58S32φ: C4○D4/C4 → C22 ⊆ Aut C3372C3^3:18(C4oD4)432,669
C33⋊19(C4○D4) = C12⋊S3⋊12S3φ: C4○D4/C4 → C22 ⊆ Aut C33484C3^3:19(C4oD4)432,688
C33⋊20(C4○D4) = C12.95S32φ: C4○D4/C4 → C22 ⊆ Aut C33484C3^3:20(C4oD4)432,689
C33⋊21(C4○D4) = C3×D6.3D6φ: C4○D4/C22 → C22 ⊆ Aut C33244C3^3:21(C4oD4)432,652
C33⋊22(C4○D4) = C3×D6.4D6φ: C4○D4/C22 → C22 ⊆ Aut C33244C3^3:22(C4oD4)432,653
C33⋊23(C4○D4) = C62.90D6φ: C4○D4/C22 → C22 ⊆ Aut C3372C3^3:23(C4oD4)432,675
C33⋊24(C4○D4) = C62.91D6φ: C4○D4/C22 → C22 ⊆ Aut C3372C3^3:24(C4oD4)432,676
C33⋊25(C4○D4) = C62.93D6φ: C4○D4/C22 → C22 ⊆ Aut C3372C3^3:25(C4oD4)432,678
C33⋊26(C4○D4) = C62.96D6φ: C4○D4/C22 → C22 ⊆ Aut C33244C3^3:26(C4oD4)432,693
C33⋊27(C4○D4) = C32×C4○D12φ: C4○D4/C2×C4 → C2 ⊆ Aut C3372C3^3:27(C4oD4)432,703
C33⋊28(C4○D4) = C3×C12.59D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C3372C3^3:28(C4oD4)432,713
C33⋊29(C4○D4) = C62.160D6φ: C4○D4/C2×C4 → C2 ⊆ Aut C33216C3^3:29(C4oD4)432,723
C33⋊30(C4○D4) = C32×D4⋊2S3φ: C4○D4/D4 → C2 ⊆ Aut C3372C3^3:30(C4oD4)432,705
C33⋊31(C4○D4) = C3×C12.D6φ: C4○D4/D4 → C2 ⊆ Aut C3372C3^3:31(C4oD4)432,715
C33⋊32(C4○D4) = C62.100D6φ: C4○D4/D4 → C2 ⊆ Aut C33216C3^3:32(C4oD4)432,725
C33⋊33(C4○D4) = C32×Q8⋊3S3φ: C4○D4/Q8 → C2 ⊆ Aut C33144C3^3:33(C4oD4)432,707
C33⋊34(C4○D4) = C3×C12.26D6φ: C4○D4/Q8 → C2 ⊆ Aut C33144C3^3:34(C4oD4)432,717
C33⋊35(C4○D4) = (Q8×C33)⋊C2φ: C4○D4/Q8 → C2 ⊆ Aut C33216C3^3:35(C4oD4)432,727


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