Extensions 1→N→G→Q→1 with N=C3 and Q=C2×S32

Direct product G=N×Q with N=C3 and Q=C2×S32
dρLabelID
S32×C6244S3^2xC6216,170

Semidirect products G=N:Q with N=C3 and Q=C2×S32
extensionφ:Q→Aut NdρLabelID
C31(C2×S32) = S33φ: C2×S32/S32C2 ⊆ Aut C3128+C3:1(C2xS3^2)216,162
C32(C2×S32) = C2×S3×C3⋊S3φ: C2×S32/S3×C6C2 ⊆ Aut C336C3:2(C2xS3^2)216,171
C33(C2×S32) = C2×C324D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C3244C3:3(C2xS3^2)216,172

Non-split extensions G=N.Q with N=C3 and Q=C2×S32
extensionφ:Q→Aut NdρLabelID
C3.1(C2×S32) = C2×S3×D9φ: C2×S32/S3×C6C2 ⊆ Aut C3364+C3.1(C2xS3^2)216,101
C3.2(C2×S32) = C2×C32⋊D6φ: C2×S32/C2×C3⋊S3C2 ⊆ Aut C3186+C3.2(C2xS3^2)216,102

׿
×
𝔽