Extensions 1→N→G→Q→1 with N=C₈ and Q=C₉:S₃

Direct product G=NxQ with N=C₈ and Q=C₉:S₃

		d	ρ	Label	ID
C₈xC₉:S₃		216		C8xC9:S3	432,169

Semidirect products G=N:Q with N=C₈ and Q=C₉:S₃

extension	φ:Q→Aut N	d	Label	ID
C₈:₁(C₉:S₃) = C₇₂:₁S₃	φ: C₉:S₃/C₃xC₉ → C₂ ⊆ Aut C₈	216	C8:1(C9:S3)	432,172
C₈:₂(C₉:S₃) = C₂₄:D₉	φ: C₉:S₃/C₃xC₉ → C₂ ⊆ Aut C₈	216	C8:2(C9:S3)	432,171
C₈:₃(C₉:S₃) = C₇₂:S₃	φ: C₉:S₃/C₃xC₉ → C₂ ⊆ Aut C₈	216	C8:3(C9:S3)	432,170

Non-split extensions G=N.Q with N=C₈ and Q=C₉:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₉:S₃) = C₂₄.D₉	φ: C₉:S₃/C₃xC₉ → C₂ ⊆ Aut C₈	432		C8.(C9:S3)	432,168
C₈.₂(C₉:S₃) = C₇₂.S₃	central extension (φ=1)	432		C8.2(C9:S3)	432,32

Extensions 1→N→G→Q→1 with N=C8 and Q=C9:S3