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Extensions 1→N→G→Q→1 with N=C32 and Q=C2×C4○D4

Direct product G=N×Q with N=C32 and Q=C2×C4○D4
dρLabelID
C4○D4×C3×C6144C4oD4xC3xC6288,1021

Semidirect products G=N:Q with N=C32 and Q=C2×C4○D4
extensionφ:Q→Aut NdρLabelID
C32⋊1(C2×C4○D4) = C2×D12⋊5S3φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C3296C3^2:1(C2xC4oD4)288,943
C32⋊2(C2×C4○D4) = C2×D12⋊S3φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C3248C3^2:2(C2xC4oD4)288,944
C32⋊3(C2×C4○D4) = C2×D6.D6φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C3248C3^2:3(C2xC4oD4)288,948
C32⋊4(C2×C4○D4) = C2×D6.6D6φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C3248C3^2:4(C2xC4oD4)288,949
C32⋊5(C2×C4○D4) = S3×C4○D12φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C32484C3^2:5(C2xC4oD4)288,953
C32⋊6(C2×C4○D4) = D12⋊23D6φ: C2×C4○D4/C2×C4 → C22 ⊆ Aut C32244C3^2:6(C2xC4oD4)288,954
C32⋊7(C2×C4○D4) = S3×D4⋊2S3φ: C2×C4○D4/D4 → C22 ⊆ Aut C32488-C3^2:7(C2xC4oD4)288,959
C32⋊8(C2×C4○D4) = Dic6⋊12D6φ: C2×C4○D4/D4 → C22 ⊆ Aut C32248+C3^2:8(C2xC4oD4)288,960
C32⋊9(C2×C4○D4) = S3×Q8⋊3S3φ: C2×C4○D4/Q8 → C22 ⊆ Aut C32488+C3^2:9(C2xC4oD4)288,966
C32⋊10(C2×C4○D4) = D12⋊15D6φ: C2×C4○D4/Q8 → C22 ⊆ Aut C32488-C3^2:10(C2xC4oD4)288,967
C32⋊11(C2×C4○D4) = C2×D6.3D6φ: C2×C4○D4/C23 → C22 ⊆ Aut C3248C3^2:11(C2xC4oD4)288,970
C32⋊12(C2×C4○D4) = C2×D6.4D6φ: C2×C4○D4/C23 → C22 ⊆ Aut C3248C3^2:12(C2xC4oD4)288,971
C32⋊13(C2×C4○D4) = C6×C4○D12φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C3248C3^2:13(C2xC4oD4)288,991
C32⋊14(C2×C4○D4) = C2×C12.59D6φ: C2×C4○D4/C22×C4 → C2 ⊆ Aut C32144C3^2:14(C2xC4oD4)288,1006
C32⋊15(C2×C4○D4) = C6×D4⋊2S3φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C3248C3^2:15(C2xC4oD4)288,993
C32⋊16(C2×C4○D4) = C2×C12.D6φ: C2×C4○D4/C2×D4 → C2 ⊆ Aut C32144C3^2:16(C2xC4oD4)288,1008
C32⋊17(C2×C4○D4) = C6×Q8⋊3S3φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C3296C3^2:17(C2xC4oD4)288,996
C32⋊18(C2×C4○D4) = C2×C12.26D6φ: C2×C4○D4/C2×Q8 → C2 ⊆ Aut C32144C3^2:18(C2xC4oD4)288,1011
C32⋊19(C2×C4○D4) = C3×S3×C4○D4φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C32484C3^2:19(C2xC4oD4)288,998
C32⋊20(C2×C4○D4) = C4○D4×C3⋊S3φ: C2×C4○D4/C4○D4 → C2 ⊆ Aut C3272C3^2:20(C2xC4oD4)288,1013


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