# Extensions 1→N→G→Q→1 with N=C32 and Q=C2×C22⋊C4

Direct product G=N×Q with N=C32 and Q=C2×C22⋊C4
dρLabelID
C22⋊C4×C3×C6144C2^2:C4xC3xC6288,812

Semidirect products G=N:Q with N=C32 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C32⋊(C2×C22⋊C4) = C2×S32⋊C4φ: C2×C22⋊C4/C22D4 ⊆ Aut C3224C3^2:(C2xC2^2:C4)288,880
C322(C2×C22⋊C4) = S3×D6⋊C4φ: C2×C22⋊C4/C2×C4C22 ⊆ Aut C3248C3^2:2(C2xC2^2:C4)288,568
C323(C2×C22⋊C4) = C62.91C23φ: C2×C22⋊C4/C2×C4C22 ⊆ Aut C3248C3^2:3(C2xC2^2:C4)288,569
C324(C2×C22⋊C4) = C2×C62⋊C4φ: C2×C22⋊C4/C23C4 ⊆ Aut C3224C3^2:4(C2xC2^2:C4)288,941
C325(C2×C22⋊C4) = C2×D6⋊Dic3φ: C2×C22⋊C4/C23C22 ⊆ Aut C3296C3^2:5(C2xC2^2:C4)288,608
C326(C2×C22⋊C4) = C2×C6.D12φ: C2×C22⋊C4/C23C22 ⊆ Aut C3248C3^2:6(C2xC2^2:C4)288,611
C327(C2×C22⋊C4) = S3×C6.D4φ: C2×C22⋊C4/C23C22 ⊆ Aut C3248C3^2:7(C2xC2^2:C4)288,616
C328(C2×C22⋊C4) = C62.116C23φ: C2×C22⋊C4/C23C22 ⊆ Aut C3224C3^2:8(C2xC2^2:C4)288,622
C329(C2×C22⋊C4) = C3×S3×C22⋊C4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C3248C3^2:9(C2xC2^2:C4)288,651
C3210(C2×C22⋊C4) = C22⋊C4×C3⋊S3φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C3272C3^2:10(C2xC2^2:C4)288,737
C3211(C2×C22⋊C4) = C6×D6⋊C4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C3296C3^2:11(C2xC2^2:C4)288,698
C3212(C2×C22⋊C4) = C2×C6.11D12φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C32144C3^2:12(C2xC2^2:C4)288,784
C3213(C2×C22⋊C4) = C6×C6.D4φ: C2×C22⋊C4/C24C2 ⊆ Aut C3248C3^2:13(C2xC2^2:C4)288,723
C3214(C2×C22⋊C4) = C2×C625C4φ: C2×C22⋊C4/C24C2 ⊆ Aut C32144C3^2:14(C2xC2^2:C4)288,809

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