Extensions 1→N→G→Q→1 with N=C₂×C₉⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₂×C₉⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂²×C₉⋊C₈		288		C2^2xC9:C8	288,130

Semidirect products G=N:Q with N=C₂×C₉⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊C₈)⋊₁C₂ = C₁₈.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144		(C2xC9:C8):1C2	288,17
(C₂×C₉⋊C₈)⋊₂C₂ = D₄⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144		(C2xC9:C8):2C2	288,40
(C₂×C₉⋊C₈)⋊₃C₂ = D₃₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144	4	(C2xC9:C8):3C2	288,117
(C₂×C₉⋊C₈)⋊₄C₂ = C₂×D₄.D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144		(C2xC9:C8):4C2	288,141
(C₂×C₉⋊C₈)⋊₅C₂ = C₂×D₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144		(C2xC9:C8):5C2	288,142
(C₂×C₉⋊C₈)⋊₆C₂ = C₂×Q₈⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144		(C2xC9:C8):6C2	288,152
(C₂×C₉⋊C₈)⋊₇C₂ = D₄.Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144	4	(C2xC9:C8):7C2	288,158
(C₂×C₉⋊C₈)⋊₈C₂ = D₄.₉D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144	4	(C2xC9:C8):8C2	288,161
(C₂×C₉⋊C₈)⋊₉C₂ = D₁₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144		(C2xC9:C8):9C2	288,27
(C₂×C₉⋊C₈)⋊₁₀C₂ = C₃₆.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144		(C2xC9:C8):10C2	288,37
(C₂×C₉⋊C₈)⋊₁₁C₂ = C₂×C₈⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144		(C2xC9:C8):11C2	288,111
(C₂×C₉⋊C₈)⋊₁₂C₂ = C₂×C₄.Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144		(C2xC9:C8):12C2	288,131
(C₂×C₉⋊C₈)⋊₁₃C₂ = C₂×C₈×D₉	φ: trivial image	144		(C2xC9:C8):13C2	288,110

Non-split extensions G=N.Q with N=C₂×C₉⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊C₈).₁C₂ = C₃₆.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	288		(C2xC9:C8).1C2	288,14
(C₂×C₉⋊C₈).₂C₂ = C₄.Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	288		(C2xC9:C8).2C2	288,15
(C₂×C₉⋊C₈).₃C₂ = C₁₈.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	288		(C2xC9:C8).3C2	288,16
(C₂×C₉⋊C₈).₄C₂ = C₃₆.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	144	4	(C2xC9:C8).4C2	288,29
(C₂×C₉⋊C₈).₅C₂ = Q₈⋊₂Dic₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	288		(C2xC9:C8).5C2	288,43
(C₂×C₉⋊C₈).₆C₂ = C₂×C₉⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	288		(C2xC9:C8).6C2	288,151
(C₂×C₉⋊C₈).₇C₂ = C₄².D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	288		(C2xC9:C8).7C2	288,10
(C₂×C₉⋊C₈).₈C₂ = C₃₆⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	288		(C2xC9:C8).8C2	288,11
(C₂×C₉⋊C₈).₉C₂ = Dic₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	288		(C2xC9:C8).9C2	288,22
(C₂×C₉⋊C₈).₁₀C₂ = C₇₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊C₈	288		(C2xC9:C8).10C2	288,23
(C₂×C₉⋊C₈).₁₁C₂ = C₄×C₉⋊C₈	φ: trivial image	288		(C2xC9:C8).11C2	288,9
(C₂×C₉⋊C₈).₁₂C₂ = C₈×Dic₉	φ: trivial image	288		(C2xC9:C8).12C2	288,21

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