Extensions 1→N→G→Q→1 with N=C₂×C₄×D₉ and Q=C₂

Direct product G=N×Q with N=C₂×C₄×D₉ and Q=C₂

		d	ρ	Label	ID
C₂²×C₄×D₉		144		C2^2xC4xD9	288,353

Semidirect products G=N:Q with N=C₂×C₄×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄×D₉)⋊₁C₂ = C₄⋊D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):1C2	288,105
(C₂×C₄×D₉)⋊₂C₂ = C₃₆⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):2C2	288,148
(C₂×C₄×D₉)⋊₃C₂ = C₂×D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	72		(C2xC4xD9):3C2	288,356
(C₂×C₄×D₉)⋊₄C₂ = C₂×D₄⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):4C2	288,357
(C₂×C₄×D₉)⋊₅C₂ = C₂×Q₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):5C2	288,360
(C₂×C₄×D₉)⋊₆C₂ = C₄○D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	72	4	(C2xC4xD9):6C2	288,362
(C₂×C₄×D₉)⋊₇C₂ = C₄×D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):7C2	288,83
(C₂×C₄×D₉)⋊₈C₂ = C₂²⋊C₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	72		(C2xC4xD9):8C2	288,90
(C₂×C₄×D₉)⋊₉C₂ = Dic₉⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):9C2	288,91
(C₂×C₄×D₉)⋊₁₀C₂ = C₂³.₉D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):10C2	288,93
(C₂×C₄×D₉)⋊₁₁C₂ = D₁₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):11C2	288,94
(C₂×C₄×D₉)⋊₁₂C₂ = D₃₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):12C2	288,103
(C₂×C₄×D₉)⋊₁₃C₂ = D₁₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):13C2	288,104
(C₂×C₄×D₉)⋊₁₄C₂ = C₄×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):14C2	288,138
(C₂×C₄×D₉)⋊₁₅C₂ = C₂×D₃₆⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9):15C2	288,355

Non-split extensions G=N.Q with N=C₂×C₄×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₄×D₉).₁C₂ = C₄⋊C₄⋊₇D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9).1C2	288,102
(C₂×C₄×D₉).₂C₂ = D₁₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9).2C2	288,107
(C₂×C₄×D₉).₃C₂ = M₄(2)×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	72	4	(C2xC4xD9).3C2	288,116
(C₂×C₄×D₉).₄C₂ = D₁₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9).4C2	288,156
(C₂×C₄×D₉).₅C₂ = C₂×Q₈×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9).5C2	288,359
(C₂×C₄×D₉).₆C₂ = D₁₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9).6C2	288,27
(C₂×C₄×D₉).₇C₂ = C₄²⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9).7C2	288,82
(C₂×C₄×D₉).₈C₂ = C₄⋊C₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9).8C2	288,101
(C₂×C₄×D₉).₉C₂ = D₁₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9).9C2	288,106
(C₂×C₄×D₉).₁₀C₂ = C₂×C₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₄×D₉	144		(C2xC4xD9).10C2	288,111
(C₂×C₄×D₉).₁₁C₂ = C₄²×D₉	φ: trivial image	144		(C2xC4xD9).11C2	288,81
(C₂×C₄×D₉).₁₂C₂ = C₂×C₈×D₉	φ: trivial image	144		(C2xC4xD9).12C2	288,110

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁