# 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/C6D4 ⊆ Aut C32244C3^2:(C3xC2^2:C4)432,574
C322(C3×C22⋊C4) = C62.21D6φ: C3×C22⋊C4/C2×C4C6 ⊆ Aut C3272C3^2:2(C3xC2^2:C4)432,141
C323(C3×C22⋊C4) = C623C12φ: C3×C22⋊C4/C23C6 ⊆ Aut C3272C3^2:3(C3xC2^2:C4)432,166
C324(C3×C22⋊C4) = C3×C62⋊C4φ: C3×C22⋊C4/C2×C6C4 ⊆ Aut C32244C3^2:4(C3xC2^2:C4)432,634
C325(C3×C22⋊C4) = C3×D6⋊Dic3φ: C3×C22⋊C4/C2×C6C22 ⊆ Aut C3248C3^2:5(C3xC2^2:C4)432,426
C326(C3×C22⋊C4) = C3×C6.D12φ: C3×C22⋊C4/C2×C6C22 ⊆ Aut C3248C3^2:6(C3xC2^2:C4)432,427
C327(C3×C22⋊C4) = C22⋊C4×He3φ: C3×C22⋊C4/C22⋊C4C3 ⊆ Aut C3272C3^2:7(C3xC2^2:C4)432,204
C328(C3×C22⋊C4) = C32×D6⋊C4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C32144C3^2:8(C3xC2^2:C4)432,474
C329(C3×C22⋊C4) = C3×C6.11D12φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C32144C3^2:9(C3xC2^2:C4)432,490
C3210(C3×C22⋊C4) = C32×C6.D4φ: C3×C22⋊C4/C22×C6C2 ⊆ Aut C3272C3^2:10(C3xC2^2:C4)432,479
C3211(C3×C22⋊C4) = C3×C625C4φ: C3×C22⋊C4/C22×C6C2 ⊆ 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⋊C4C3 ⊆ Aut C3272C3^2.(C3xC2^2:C4)432,205
C32.2(C3×C22⋊C4) = C9×D6⋊C4φ: C3×C22⋊C4/C2×C12C2 ⊆ Aut C32144C3^2.2(C3xC2^2:C4)432,135
C32.3(C3×C22⋊C4) = C9×C6.D4φ: C3×C22⋊C4/C22×C6C2 ⊆ 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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