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

Direct product G=NxQ with N=C₃ and Q=C₁₂:S₃

		d	ρ	Label	ID
C₃xC₁₂:S₃		72		C3xC12:S3	216,142

Semidirect products G=N:Q with N=C₃ and Q=C₁₂:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₁₂:S₃) = C₃³:₁₂D₄	φ: C₁₂:S₃/C₃xC₁₂ → C₂ ⊆ Aut C₃	108		C3:1(C12:S3)	216,147
C₃:₂(C₁₂:S₃) = C₃³:₈D₄	φ: C₁₂:S₃/C₂xC₃:S₃ → C₂ ⊆ Aut C₃	36		C3:2(C12:S3)	216,129

Non-split extensions G=N.Q with N=C₃ and Q=C₁₂:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₂:S₃) = C₃₆:S₃	φ: C₁₂:S₃/C₃xC₁₂ → C₂ ⊆ Aut C₃	108		C3.(C12:S3)	216,65
C₃.₂(C₁₂:S₃) = He₃:₅D₄	central stem extension (φ=1)	36	6	C3.2(C12:S3)	216,68

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