Extensions 1→N→G→Q→1 with N=D₄×C₁₈ and Q=C₂

Direct product G=N×Q with N=D₄×C₁₈ and Q=C₂

		d	ρ	Label	ID
D₄×C₂×C₁₈		144		D4xC2xC18	288,368

Semidirect products G=N:Q with N=D₄×C₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₈)⋊₁C₂ = C₂×D₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18):1C2	288,142
(D₄×C₁₈)⋊₂C₂ = D₃₆⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72	4	(D4xC18):2C2	288,143
(D₄×C₁₈)⋊₃C₂ = C₃₆⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18):3C2	288,148
(D₄×C₁₈)⋊₄C₂ = C₃₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18):4C2	288,150
(D₄×C₁₈)⋊₅C₂ = C₂×D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72		(D4xC18):5C2	288,356
(D₄×C₁₈)⋊₆C₂ = C₂×D₄⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18):6C2	288,357
(D₄×C₁₈)⋊₇C₂ = D₄⋊₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72	4	(D4xC18):7C2	288,358
(D₄×C₁₈)⋊₈C₂ = C₂³⋊₂D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72		(D4xC18):8C2	288,147
(D₄×C₁₈)⋊₉C₂ = Dic₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18):9C2	288,149
(D₄×C₁₈)⋊₁₀C₂ = C₉×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72		(D4xC18):10C2	288,170
(D₄×C₁₈)⋊₁₁C₂ = C₉×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18):11C2	288,171
(D₄×C₁₈)⋊₁₂C₂ = C₉×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18):12C2	288,177
(D₄×C₁₈)⋊₁₃C₂ = D₈×C₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18):13C2	288,182
(D₄×C₁₈)⋊₁₄C₂ = C₉×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72	4	(D4xC18):14C2	288,186
(D₄×C₁₈)⋊₁₅C₂ = C₉×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72	4	(D4xC18):15C2	288,371
(D₄×C₁₈)⋊₁₆C₂ = C₄○D₄×C₁₈	φ: trivial image	144		(D4xC18):16C2	288,370

Non-split extensions G=N.Q with N=D₄×C₁₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₈).₁C₂ = C₃₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72	4	(D4xC18).1C2	288,39
(D₄×C₁₈).₂C₂ = D₄⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18).2C2	288,40
(D₄×C₁₈).₃C₂ = C₂×D₄.D₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18).3C2	288,141
(D₄×C₁₈).₄C₂ = D₄×Dic₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18).4C2	288,144
(D₄×C₁₈).₅C₂ = C₃₆.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18).5C2	288,146
(D₄×C₁₈).₆C₂ = C₂³⋊₂Dic₉	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72	4	(D4xC18).6C2	288,41
(D₄×C₁₈).₇C₂ = C₉×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72	4	(D4xC18).7C2	288,49
(D₄×C₁₈).₈C₂ = C₉×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	72	4	(D4xC18).8C2	288,50
(D₄×C₁₈).₉C₂ = C₉×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18).9C2	288,52
(D₄×C₁₈).₁₀C₂ = C₂³.₂₃D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18).10C2	288,145
(D₄×C₁₈).₁₁C₂ = C₉×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18).11C2	288,173
(D₄×C₁₈).₁₂C₂ = C₉×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18).12C2	288,174
(D₄×C₁₈).₁₃C₂ = SD₁₆×C₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₈	144		(D4xC18).13C2	288,183
(D₄×C₁₈).₁₄C₂ = D₄×C₃₆	φ: trivial image	144		(D4xC18).14C2	288,168

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