Extensions 1→N→G→Q→1 with N=C₉ and Q=Q₈⋊₃S₃

Direct product G=N×Q with N=C₉ and Q=Q₈⋊₃S₃

		d	ρ	Label	ID
C₉×Q₈⋊₃S₃		144	4	C9xQ8:3S3	432,367

Semidirect products G=N:Q with N=C₉ and Q=Q₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(Q₈⋊₃S₃) = Dic₉.D₆	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₉	72	4+	C9:1(Q8:3S3)	432,289
C₉⋊₂(Q₈⋊₃S₃) = D₁₂⋊D₉	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₉	72	4	C9:2(Q8:3S3)	432,286
C₉⋊₃(Q₈⋊₃S₃) = C₃₆.₂₉D₆	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₉	216		C9:3(Q8:3S3)	432,393

Non-split extensions G=N.Q with N=C₉ and Q=Q₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(Q₈⋊₃S₃) = Q₈⋊₃D₂₇	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₉	216	4+	C9.(Q8:3S3)	432,50

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Extensions 1→N→G→Q→1 with N=C9 and Q=Q8⋊3S3