Extensions 1→N→G→Q→1 with N=C₂²×Q₈ and Q=C₃²

Direct product G=N×Q with N=C₂²×Q₈ and Q=C₃²

		d	ρ	Label	ID
Q₈×C₆²		288		Q8xC6^2	288,1020

Semidirect products G=N:Q with N=C₂²×Q₈ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Q₈)⋊C₃² = A₄×SL₂(𝔽₃)	φ: C₃²/C₁ → C₃² ⊆ Out C₂²×Q₈	24	6-	(C2^2xQ8):C3^2	288,859
(C₂²×Q₈)⋊₂C₃² = C₂×C₆×SL₂(𝔽₃)	φ: C₃²/C₃ → C₃ ⊆ Out C₂²×Q₈	96		(C2^2xQ8):2C3^2	288,981
(C₂²×Q₈)⋊₃C₃² = C₃×Q₈×A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₂²×Q₈	72	6	(C2^2xQ8):3C3^2	288,982
(C₂²×Q₈)⋊₄C₃² = C₃×Q₈⋊A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₂²×Q₈	72	6	(C2^2xQ8):4C3^2	288,986

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