# Extensions 1→N→G→Q→1 with N=C32 and Q=C2×C12

Direct product G=N×Q with N=C32 and Q=C2×C12
dρLabelID
C3×C6×C12216C3xC6xC12216,150

Semidirect products G=N:Q with N=C32 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C321(C2×C12) = C4×C32⋊C6φ: C2×C12/C4C6 ⊆ Aut C32366C3^2:1(C2xC12)216,50
C322(C2×C12) = C2×C32⋊C12φ: C2×C12/C22C6 ⊆ Aut C3272C3^2:2(C2xC12)216,59
C323(C2×C12) = C6×C32⋊C4φ: C2×C12/C6C4 ⊆ Aut C32244C3^2:3(C2xC12)216,168
C324(C2×C12) = C3×S3×Dic3φ: C2×C12/C6C22 ⊆ Aut C32244C3^2:4(C2xC12)216,119
C325(C2×C12) = C3×C6.D6φ: C2×C12/C6C22 ⊆ Aut C32244C3^2:5(C2xC12)216,120
C326(C2×C12) = C2×C4×He3φ: C2×C12/C2×C4C3 ⊆ Aut C3272C3^2:6(C2xC12)216,74
C327(C2×C12) = S3×C3×C12φ: C2×C12/C12C2 ⊆ Aut C3272C3^2:7(C2xC12)216,136
C328(C2×C12) = C12×C3⋊S3φ: C2×C12/C12C2 ⊆ Aut C3272C3^2:8(C2xC12)216,141
C329(C2×C12) = Dic3×C3×C6φ: C2×C12/C2×C6C2 ⊆ Aut C3272C3^2:9(C2xC12)216,138
C3210(C2×C12) = C6×C3⋊Dic3φ: C2×C12/C2×C6C2 ⊆ Aut C3272C3^2:10(C2xC12)216,143

Non-split extensions G=N.Q with N=C32 and Q=C2×C12
extensionφ:Q→Aut NdρLabelID
C32.(C2×C12) = C2×C4×3- 1+2φ: C2×C12/C2×C4C3 ⊆ Aut C3272C3^2.(C2xC12)216,75
C32.2(C2×C12) = S3×C36φ: C2×C12/C12C2 ⊆ Aut C32722C3^2.2(C2xC12)216,47
C32.3(C2×C12) = Dic3×C18φ: C2×C12/C2×C6C2 ⊆ Aut C3272C3^2.3(C2xC12)216,56

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