Extensions 1→N→G→Q→1 with N=Q₈×C₃² and Q=C₃

Direct product G=N×Q with N=Q₈×C₃² and Q=C₃

		d	ρ	Label	ID
Q₈×C₃³		216		Q8xC3^3	216,152

Semidirect products G=N:Q with N=Q₈×C₃² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃²)⋊₁C₃ = Q₈⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃²	72	6	(Q8xC3^2):1C3	216,42
(Q₈×C₃²)⋊₂C₃ = Q₈×He₃	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃²	72	6	(Q8xC3^2):2C3	216,80
(Q₈×C₃²)⋊₃C₃ = C₃²×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃²	72		(Q8xC3^2):3C3	216,134

Non-split extensions G=N.Q with N=Q₈×C₃² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃²).₁C₃ = C₃×Q₈⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃²	216		(Q8xC3^2).1C3	216,40
(Q₈×C₃²).₂C₃ = Q₈⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃²	72	6	(Q8xC3^2).2C3	216,41
(Q₈×C₃²).₃C₃ = Q₈×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃²	72	6	(Q8xC3^2).3C3	216,81
(Q₈×C₃²).₄C₃ = Q₈×C₃×C₉	φ: trivial image	216		(Q8xC3^2).4C3	216,79

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