Extensions 1→N→G→Q→1 with N=C₃²×C₄○D₄ and Q=C₃

Direct product G=N×Q with N=C₃²×C₄○D₄ and Q=C₃

		d	ρ	Label	ID
C₄○D₄×C₃³		216		C4oD4xC3^3	432,733

Semidirect products G=N:Q with N=C₃²×C₄○D₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×C₄○D₄)⋊₁C₃ = C₄○D₄⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×C₄○D₄	72	6	(C3^2xC4oD4):1C3	432,339
(C₃²×C₄○D₄)⋊₂C₃ = C₄○D₄×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×C₄○D₄	72	6	(C3^2xC4oD4):2C3	432,410
(C₃²×C₄○D₄)⋊₃C₃ = C₃²×C₄.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃²×C₄○D₄	144		(C3^2xC4oD4):3C3	432,699

Non-split extensions G=N.Q with N=C₃²×C₄○D₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×C₄○D₄).₁C₃ = C₃×Q₈.C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃²×C₄○D₄	216		(C3^2xC4oD4).1C3	432,337
(C₃²×C₄○D₄).₂C₃ = Q₈⋊C₉⋊₄C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃²×C₄○D₄	72	6	(C3^2xC4oD4).2C3	432,338
(C₃²×C₄○D₄).₃C₃ = C₄○D₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×C₄○D₄	72	6	(C3^2xC4oD4).3C3	432,411
(C₃²×C₄○D₄).₄C₃ = C₄○D₄×C₃×C₉	φ: trivial image	216		(C3^2xC4oD4).4C3	432,409

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