Extensions 1→N→G→Q→1 with N=C₉×C₄○D₄ and Q=C₃

Direct product G=N×Q with N=C₉×C₄○D₄ and Q=C₃

		d	ρ	Label	ID
C₄○D₄×C₃×C₉		216		C4oD4xC3xC9	432,409

Semidirect products G=N:Q with N=C₉×C₄○D₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₄○D₄)⋊₁C₃ = C₉×C₄.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₉×C₄○D₄	144	2	(C9xC4oD4):1C3	432,329
(C₉×C₄○D₄)⋊₂C₃ = C₃₆.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₉×C₄○D₄	144	6	(C9xC4oD4):2C3	432,330
(C₉×C₄○D₄)⋊₃C₃ = C₄○D₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₉×C₄○D₄	72	6	(C9xC4oD4):3C3	432,411

Non-split extensions G=N.Q with N=C₉×C₄○D₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₄○D₄).C₃ = Q₈.C₅₄	φ: C₃/C₁ → C₃ ⊆ Out C₉×C₄○D₄	216	2	(C9xC4oD4).C3	432,42
(C₉×C₄○D₄).₂C₃ = C₄○D₄×C₂₇	φ: trivial image	216	2	(C9xC4oD4).2C3	432,56

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C9×C4○D4 and Q=C3