Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃:S₃:₃C₈

Direct product G=NxQ with N=C₃ and Q=C₃:S₃:₃C₈

		d	ρ	Label	ID
C₃xC₃:S₃:₃C₈		48	4	C3xC3:S3:3C8	432,628

Semidirect products G=N:Q with N=C₃ and Q=C₃:S₃:₃C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃:S₃:₃C₈) = C₃³:₅(C₂xC₈)	φ: C₃:S₃:₃C₈/C₃²:₂C₈ → C₂ ⊆ Aut C₃	24	8+	C3:1(C3:S3:3C8)	432,571
C₃:₂(C₃:S₃:₃C₈) = C₃³:₇(C₂xC₈)	φ: C₃:S₃:₃C₈/C₄xC₃:S₃ → C₂ ⊆ Aut C₃	48	4	C3:2(C3:S3:3C8)	432,635

Non-split extensions G=N.Q with N=C₃ and Q=C₃:S₃:₃C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃:S₃:₃C₈) = He₃:₂(C₂xC₈)	central stem extension (φ=1)	72	3	C3.(C3:S3:3C8)	432,273

Extensions 1→N→G→Q→1 with N=C3 and Q=C3:S3:3C8