Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C12

Direct product G=N×Q with N=C3 and Q=S3×C12

Semidirect products G=N:Q with N=C3 and Q=S3×C12
extensionφ:Q→Aut NdρLabelID
C31(S3×C12) = C3×C6.D6φ: S3×C12/C3×Dic3C2 ⊆ Aut C3244C3:1(S3xC12)216,120
C32(S3×C12) = C12×C3⋊S3φ: S3×C12/C3×C12C2 ⊆ Aut C372C3:2(S3xC12)216,141
C33(S3×C12) = C3×S3×Dic3φ: S3×C12/S3×C6C2 ⊆ Aut C3244C3:3(S3xC12)216,119

Non-split extensions G=N.Q with N=C3 and Q=S3×C12
extensionφ:Q→Aut NdρLabelID
C3.1(S3×C12) = C12×D9φ: S3×C12/C3×C12C2 ⊆ Aut C3722C3.1(S3xC12)216,45
C3.2(S3×C12) = C4×C32⋊C6φ: S3×C12/C3×C12C2 ⊆ Aut C3366C3.2(S3xC12)216,50
C3.3(S3×C12) = C4×C9⋊C6φ: S3×C12/C3×C12C2 ⊆ Aut C3366C3.3(S3xC12)216,53
C3.4(S3×C12) = S3×C36central extension (φ=1)722C3.4(S3xC12)216,47