# Extensions 1→N→G→Q→1 with N=C32 and Q=C22×C12

Direct product G=N×Q with N=C32 and Q=C22×C12
dρLabelID
C62×C12432C6^2xC12432,730

Semidirect products G=N:Q with N=C32 and Q=C22×C12
extensionφ:Q→Aut NdρLabelID
C321(C22×C12) = C2×C4×C32⋊C6φ: C22×C12/C2×C4C6 ⊆ Aut C3272C3^2:1(C2^2xC12)432,349
C322(C22×C12) = C22×C32⋊C12φ: C22×C12/C23C6 ⊆ Aut C32144C3^2:2(C2^2xC12)432,376
C323(C22×C12) = S32×C12φ: C22×C12/C12C22 ⊆ Aut C32484C3^2:3(C2^2xC12)432,648
C324(C22×C12) = C2×C6×C32⋊C4φ: C22×C12/C2×C6C4 ⊆ Aut C3248C3^2:4(C2^2xC12)432,765
C325(C22×C12) = S3×C6×Dic3φ: C22×C12/C2×C6C22 ⊆ Aut C3248C3^2:5(C2^2xC12)432,651
C326(C22×C12) = C6×C6.D6φ: C22×C12/C2×C6C22 ⊆ Aut C3248C3^2:6(C2^2xC12)432,654
C327(C22×C12) = C22×C4×He3φ: C22×C12/C22×C4C3 ⊆ Aut C32144C3^2:7(C2^2xC12)432,401
C328(C22×C12) = S3×C6×C12φ: C22×C12/C2×C12C2 ⊆ Aut C32144C3^2:8(C2^2xC12)432,701
C329(C22×C12) = C3⋊S3×C2×C12φ: C22×C12/C2×C12C2 ⊆ Aut C32144C3^2:9(C2^2xC12)432,711
C3210(C22×C12) = Dic3×C62φ: C22×C12/C22×C6C2 ⊆ Aut C32144C3^2:10(C2^2xC12)432,708
C3211(C22×C12) = C2×C6×C3⋊Dic3φ: C22×C12/C22×C6C2 ⊆ Aut C32144C3^2:11(C2^2xC12)432,718

Non-split extensions G=N.Q with N=C32 and Q=C22×C12
extensionφ:Q→Aut NdρLabelID
C32.(C22×C12) = C22×C4×3- 1+2φ: C22×C12/C22×C4C3 ⊆ Aut C32144C3^2.(C2^2xC12)432,402
C32.2(C22×C12) = S3×C2×C36φ: C22×C12/C2×C12C2 ⊆ Aut C32144C3^2.2(C2^2xC12)432,345
C32.3(C22×C12) = Dic3×C2×C18φ: C22×C12/C22×C6C2 ⊆ Aut C32144C3^2.3(C2^2xC12)432,373

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