Extensions 1→N→G→Q→1 with N=D₄×C₉ and Q=C₆

Direct product G=N×Q with N=D₄×C₉ and Q=C₆

		d	ρ	Label	ID
D₄×C₃×C₁₈		216		D4xC3xC18	432,403

Semidirect products G=N:Q with N=D₄×C₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₉)⋊₁C₆ = D₃₆⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out D₄×C₉	72	12+	(D4xC9):1C6	432,155
(D₄×C₉)⋊₂C₆ = D₄×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out D₄×C₉	36	12+	(D4xC9):2C6	432,362
(D₄×C₉)⋊₃C₆ = Dic₁₈⋊₂C₆	φ: C₆/C₁ → C₆ ⊆ Out D₄×C₉	72	12-	(D4xC9):3C6	432,363
(D₄×C₉)⋊₄C₆ = D₈×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Out D₄×C₉	72	6	(D4xC9):4C6	432,217
(D₄×C₉)⋊₅C₆ = C₂×D₄×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Out D₄×C₉	72		(D4xC9):5C6	432,405
(D₄×C₉)⋊₆C₆ = C₄○D₄×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Out D₄×C₉	72	6	(D4xC9):6C6	432,411
(D₄×C₉)⋊₇C₆ = C₃×D₄⋊D₉	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9):7C6	432,149
(D₄×C₉)⋊₈C₆ = C₃×D₄×D₉	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9):8C6	432,356
(D₄×C₉)⋊₉C₆ = C₃×D₄⋊₂D₉	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9):9C6	432,357
(D₄×C₉)⋊₁₀C₆ = D₈×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₉	216		(D4xC9):10C6	432,215
(D₄×C₉)⋊₁₁C₆ = C₄○D₄×C₃×C₉	φ: trivial image	216		(D4xC9):11C6	432,409

Non-split extensions G=N.Q with N=D₄×C₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₉).₁C₆ = Dic₁₈⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out D₄×C₉	72	12-	(D4xC9).1C6	432,154
(D₄×C₉).₂C₆ = SD₁₆×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Out D₄×C₉	72	6	(D4xC9).2C6	432,220
(D₄×C₉).₃C₆ = C₃×D₄.D₉	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9).3C6	432,148
(D₄×C₉).₄C₆ = D₈×C₂₇	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₉	216	2	(D4xC9).4C6	432,25
(D₄×C₉).₅C₆ = SD₁₆×C₂₇	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₉	216	2	(D4xC9).5C6	432,26
(D₄×C₉).₆C₆ = SD₁₆×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Out D₄×C₉	216		(D4xC9).6C6	432,218
(D₄×C₉).₇C₆ = D₄×C₅₄	φ: trivial image	216		(D4xC9).7C6	432,54
(D₄×C₉).₈C₆ = C₄○D₄×C₂₇	φ: trivial image	216	2	(D4xC9).8C6	432,56

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁