Extensions 1→N→G→Q→1 with N=C32 and Q=C3×C22⋊C4

Direct product G=N×Q with N=C32 and Q=C3×C22⋊C4
dρLabelID
C22⋊C4×C33216C2^2:C4xC3^3432,513

Semidirect products G=N:Q with N=C32 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C32⋊(C3×C22⋊C4) = C3×S32⋊C4φ: C3×C22⋊C4/C6 → D4 ⊆ Aut C32244C3^2:(C3xC2^2:C4)432,574
C32⋊2(C3×C22⋊C4) = C62.21D6φ: C3×C22⋊C4/C2×C4 → C6 ⊆ Aut C3272C3^2:2(C3xC2^2:C4)432,141
C32⋊3(C3×C22⋊C4) = C62⋊3C12φ: C3×C22⋊C4/C23 → C6 ⊆ Aut C3272C3^2:3(C3xC2^2:C4)432,166
C32⋊4(C3×C22⋊C4) = C3×C62⋊C4φ: C3×C22⋊C4/C2×C6 → C4 ⊆ Aut C32244C3^2:4(C3xC2^2:C4)432,634
C32⋊5(C3×C22⋊C4) = C3×D6⋊Dic3φ: C3×C22⋊C4/C2×C6 → C22 ⊆ Aut C3248C3^2:5(C3xC2^2:C4)432,426
C32⋊6(C3×C22⋊C4) = C3×C6.D12φ: C3×C22⋊C4/C2×C6 → C22 ⊆ Aut C3248C3^2:6(C3xC2^2:C4)432,427
C32⋊7(C3×C22⋊C4) = C22⋊C4×He3φ: C3×C22⋊C4/C22⋊C4 → C3 ⊆ Aut C3272C3^2:7(C3xC2^2:C4)432,204
C32⋊8(C3×C22⋊C4) = C32×D6⋊C4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C32144C3^2:8(C3xC2^2:C4)432,474
C32⋊9(C3×C22⋊C4) = C3×C6.11D12φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C32144C3^2:9(C3xC2^2:C4)432,490
C32⋊10(C3×C22⋊C4) = C32×C6.D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C3272C3^2:10(C3xC2^2:C4)432,479
C32⋊11(C3×C22⋊C4) = C3×C62⋊5C4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C3272C3^2:11(C3xC2^2:C4)432,495

Non-split extensions G=N.Q with N=C32 and Q=C3×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C32.(C3×C22⋊C4) = C22⋊C4×3- 1+2φ: C3×C22⋊C4/C22⋊C4 → C3 ⊆ Aut C3272C3^2.(C3xC2^2:C4)432,205
C32.2(C3×C22⋊C4) = C9×D6⋊C4φ: C3×C22⋊C4/C2×C12 → C2 ⊆ Aut C32144C3^2.2(C3xC2^2:C4)432,135
C32.3(C3×C22⋊C4) = C9×C6.D4φ: C3×C22⋊C4/C22×C6 → C2 ⊆ Aut C3272C3^2.3(C3xC2^2:C4)432,165
C32.4(C3×C22⋊C4) = C22⋊C4×C3×C9central extension (φ=1)216C3^2.4(C3xC2^2:C4)432,203

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