Extensions 1→N→G→Q→1 with N=C₄×D₉ and Q=C₆

Direct product G=N×Q with N=C₄×D₉ and Q=C₆

		d	ρ	Label	ID
D₉×C₂×C₁₂		144		D9xC2xC12	432,342

Semidirect products G=N:Q with N=C₄×D₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₉)⋊₁C₆ = D₄×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₉	36	12+	(C4xD9):1C6	432,362
(C₄×D₉)⋊₂C₆ = Dic₁₈⋊₂C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₉	72	12-	(C4xD9):2C6	432,363
(C₄×D₉)⋊₃C₆ = D₃₆⋊₃C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₉	72	12+	(C4xD9):3C6	432,371
(C₄×D₉)⋊₄C₆ = D₃₆⋊₆C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₉	72	6	(C4xD9):4C6	432,355
(C₄×D₉)⋊₅C₆ = C₂×C₄×C₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₄×D₉	72		(C4xD9):5C6	432,353
(C₄×D₉)⋊₆C₆ = C₃×D₄×D₉	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₉	72	4	(C4xD9):6C6	432,356
(C₄×D₉)⋊₇C₆ = C₃×D₄⋊₂D₉	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₉	72	4	(C4xD9):7C6	432,357
(C₄×D₉)⋊₈C₆ = C₃×Q₈⋊₃D₉	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₉	144	4	(C4xD9):8C6	432,365
(C₄×D₉)⋊₉C₆ = C₃×D₃₆⋊₅C₂	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₉	72	2	(C4xD9):9C6	432,344

Non-split extensions G=N.Q with N=C₄×D₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₉).₁C₆ = Q₈×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₉	72	12-	(C4xD9).1C6	432,370
(C₄×D₉).₂C₆ = C₇₂⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄×D₉	72	6	(C4xD9).2C6	432,121
(C₄×D₉).₃C₆ = C₈×C₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₄×D₉	72	6	(C4xD9).3C6	432,120
(C₄×D₉).₄C₆ = C₃×Q₈×D₉	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₉	144	4	(C4xD9).4C6	432,364
(C₄×D₉).₅C₆ = C₃×C₈⋊D₉	φ: C₆/C₃ → C₂ ⊆ Out C₄×D₉	144	2	(C4xD9).5C6	432,106
(C₄×D₉).₆C₆ = D₉×C₂₄	φ: trivial image	144	2	(C4xD9).6C6	432,105

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