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

Direct product G=N×Q with N=C₈ and Q=C₉⋊S₃

		d	ρ	Label	ID
C₈×C₉⋊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/C₃×C₉ → C₂ ⊆ Aut C₈	216	C8:1(C9:S3)	432,172
C₈⋊₂(C₉⋊S₃) = C₂₄⋊D₉	φ: C₉⋊S₃/C₃×C₉ → C₂ ⊆ Aut C₈	216	C8:2(C9:S3)	432,171
C₈⋊₃(C₉⋊S₃) = C₇₂⋊S₃	φ: C₉⋊S₃/C₃×C₉ → 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/C₃×C₉ → 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

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