Extensions 1→N→G→Q→1 with N=C₉ and Q=Q₈⋊₂S₃

Direct product G=N×Q with N=C₉ and Q=Q₈⋊₂S₃

		d	ρ	Label	ID
C₉×Q₈⋊₂S₃		144	4	C9xQ8:2S3	432,158

Semidirect products G=N:Q with N=C₉ and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(Q₈⋊₂S₃) = C₆.D₃₆	φ: Q₈⋊₂S₃/C₃⋊C₈ → C₂ ⊆ Aut C₉	72	4+	C9:1(Q8:2S3)	432,63
C₉⋊₂(Q₈⋊₂S₃) = D₁₂.D₉	φ: Q₈⋊₂S₃/D₁₂ → C₂ ⊆ Aut C₉	144	4	C9:2(Q8:2S3)	432,70
C₉⋊₃(Q₈⋊₂S₃) = C₃₆.₂₀D₆	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₉	216		C9:3(Q8:2S3)	432,195

Non-split extensions G=N.Q with N=C₉ and Q=Q₈⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(Q₈⋊₂S₃) = Q₈⋊₂D₂₇	φ: Q₈⋊₂S₃/C₃×Q₈ → C₂ ⊆ Aut C₉	216	4+	C9.(Q8:2S3)	432,18

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Extensions 1→N→G→Q→1 with N=C9 and Q=Q8⋊2S3