Extensions 1→N→G→Q→1 with N=Q₈×C₉ and Q=C₃

Direct product G=N×Q with N=Q₈×C₉ and Q=C₃

		d	ρ	Label	ID
Q₈×C₃×C₉		216		Q8xC3xC9	216,79

Semidirect products G=N:Q with N=Q₈×C₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₉)⋊₁C₃ = C₉×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₉	72	2	(Q8xC9):1C3	216,38
(Q₈×C₉)⋊₂C₃ = C₁₈.A₄	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₉	72	6	(Q8xC9):2C3	216,39
(Q₈×C₉)⋊₃C₃ = Q₈×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₉	72	6	(Q8xC9):3C3	216,81

Non-split extensions G=N.Q with N=Q₈×C₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₉).C₃ = Q₈⋊C₂₇	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₉	216	2	(Q8xC9).C3	216,3
(Q₈×C₉).₂C₃ = Q₈×C₂₇	φ: trivial image	216	2	(Q8xC9).2C3	216,11

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Extensions 1→N→G→Q→1 with N=Q8×C9 and Q=C3