Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃:S₃

Direct product G=NxQ with N=C₄ and Q=C₃:S₃

		d	ρ	Label	ID
C₄xC₃:S₃		36		C4xC3:S3	72,32

Semidirect products G=N:Q with N=C₄ and Q=C₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₃:S₃) = C₁₂:S₃	φ: C₃:S₃/C₃² → C₂ ⊆ Aut C₄	36		C4:(C3:S3)	72,33

Non-split extensions G=N.Q with N=C₄ and Q=C₃:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃:S₃) = C₃²:₄Q₈	φ: C₃:S₃/C₃² → C₂ ⊆ Aut C₄	72		C4.(C3:S3)	72,31
C₄.₂(C₃:S₃) = C₃²:₄C₈	central extension (φ=1)	72		C4.2(C3:S3)	72,13

Extensions 1→N→G→Q→1 with N=C4 and Q=C3:S3