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Extensions 1→N→G→Q→1 with N=C32 and Q=C4⋊Q8

Direct product G=N×Q with N=C32 and Q=C4⋊Q8
dρLabelID
C32×C4⋊Q8288C3^2xC4:Q8288,825

Semidirect products G=N:Q with N=C32 and Q=C4⋊Q8
extensionφ:Q→Aut NdρLabelID
C32⋊1(C4⋊Q8) = C32⋊C4⋊Q8φ: C4⋊Q8/C4 → D4 ⊆ Aut C32488-C3^2:1(C4:Q8)288,870
C32⋊2(C4⋊Q8) = C4⋊PSU3(𝔽2)φ: C4⋊Q8/C4 → Q8 ⊆ Aut C32368C3^2:2(C4:Q8)288,893
C32⋊3(C4⋊Q8) = C62.9C23φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:3(C4:Q8)288,487
C32⋊4(C4⋊Q8) = C62.10C23φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:4(C4:Q8)288,488
C32⋊5(C4⋊Q8) = Dic3⋊Dic6φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:5(C4:Q8)288,514
C32⋊6(C4⋊Q8) = C62.43C23φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:6(C4:Q8)288,521
C32⋊7(C4⋊Q8) = C12⋊3Dic6φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:7(C4:Q8)288,566
C32⋊8(C4⋊Q8) = C12⋊Dic6φ: C4⋊Q8/C2×C4 → C22 ⊆ Aut C3296C3^2:8(C4:Q8)288,567
C32⋊9(C4⋊Q8) = C3×C12⋊2Q8φ: C4⋊Q8/C42 → C2 ⊆ Aut C3296C3^2:9(C4:Q8)288,640
C32⋊10(C4⋊Q8) = C12⋊6Dic6φ: C4⋊Q8/C42 → C2 ⊆ Aut C32288C3^2:10(C4:Q8)288,726
C32⋊11(C4⋊Q8) = C3×C12⋊Q8φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C3296C3^2:11(C4:Q8)288,659
C32⋊12(C4⋊Q8) = C12⋊2Dic6φ: C4⋊Q8/C4⋊C4 → C2 ⊆ Aut C32288C3^2:12(C4:Q8)288,745
C32⋊13(C4⋊Q8) = C3×Dic3⋊Q8φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C3296C3^2:13(C4:Q8)288,715
C32⋊14(C4⋊Q8) = C62.259C23φ: C4⋊Q8/C2×Q8 → C2 ⊆ Aut C32288C3^2:14(C4:Q8)288,801


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