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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₄)⋊C₃² = C₃²×C₄.A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃×C₄○D₄	144		(C3xC4oD4):C3^2	432,699

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₄).₁C₃² = C₉×C₄.A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃×C₄○D₄	144	2	(C3xC4oD4).1C3^2	432,329
(C₃×C₄○D₄).₂C₃² = C₃₆.A₄	φ: C₃²/C₃ → C₃ ⊆ Out C₃×C₄○D₄	144	6	(C3xC4oD4).2C3^2	432,330
(C₃×C₄○D₄).₃C₃² = C₃×Q₈.C₁₈	φ: C₃²/C₃ → C₃ ⊆ Out C₃×C₄○D₄	216		(C3xC4oD4).3C3^2	432,337
(C₃×C₄○D₄).₄C₃² = Q₈⋊C₉⋊₄C₆	φ: C₃²/C₃ → C₃ ⊆ Out C₃×C₄○D₄	72	6	(C3xC4oD4).4C3^2	432,338
(C₃×C₄○D₄).₅C₃² = C₄○D₄⋊He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₃×C₄○D₄	72	6	(C3xC4oD4).5C3^2	432,339
(C₃×C₄○D₄).₆C₃² = C₄○D₄×C₃×C₉	φ: trivial image	216		(C3xC4oD4).6C3^2	432,409
(C₃×C₄○D₄).₇C₃² = C₄○D₄×He₃	φ: trivial image	72	6	(C3xC4oD4).7C3^2	432,410
(C₃×C₄○D₄).₈C₃² = C₄○D₄×3_-¹⁺²	φ: trivial image	72	6	(C3xC4oD4).8C3^2	432,411

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