Extensions 1→N→G→Q→1 with N=C₉×C₄⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₉×C₄⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₄⋊C₄×C₁₈		288		C4:C4xC18	288,166

Semidirect products G=N:Q with N=C₉×C₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₄⋊C₄)⋊₁C₂ = C₁₈.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):1C2	288,17
(C₉×C₄⋊C₄)⋊₂C₂ = C₄⋊C₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):2C2	288,101
(C₉×C₄⋊C₄)⋊₃C₂ = C₄⋊C₄⋊₇D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):3C2	288,102
(C₉×C₄⋊C₄)⋊₄C₂ = D₃₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):4C2	288,103
(C₉×C₄⋊C₄)⋊₅C₂ = D₁₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):5C2	288,104
(C₉×C₄⋊C₄)⋊₆C₂ = C₄⋊D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):6C2	288,105
(C₉×C₄⋊C₄)⋊₇C₂ = D₁₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):7C2	288,106
(C₉×C₄⋊C₄)⋊₈C₂ = D₁₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):8C2	288,107
(C₉×C₄⋊C₄)⋊₉C₂ = C₄⋊C₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):9C2	288,108
(C₉×C₄⋊C₄)⋊₁₀C₂ = C₉×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):10C2	288,52
(C₉×C₄⋊C₄)⋊₁₁C₂ = C₉×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):11C2	288,171
(C₉×C₄⋊C₄)⋊₁₂C₂ = C₉×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):12C2	288,172
(C₉×C₄⋊C₄)⋊₁₃C₂ = C₉×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):13C2	288,173
(C₉×C₄⋊C₄)⋊₁₄C₂ = C₉×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	144		(C9xC4:C4):14C2	288,176
(C₉×C₄⋊C₄)⋊₁₅C₂ = C₉×C₄²⋊C₂	φ: trivial image	144		(C9xC4:C4):15C2	288,167
(C₉×C₄⋊C₄)⋊₁₆C₂ = D₄×C₃₆	φ: trivial image	144		(C9xC4:C4):16C2	288,168

Non-split extensions G=N.Q with N=C₉×C₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₄⋊C₄).₁C₂ = C₃₆.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).1C2	288,14
(C₉×C₄⋊C₄).₂C₂ = C₄.Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).2C2	288,15
(C₉×C₄⋊C₄).₃C₂ = C₁₈.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).3C2	288,16
(C₉×C₄⋊C₄).₄C₂ = Dic₉⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).4C2	288,97
(C₉×C₄⋊C₄).₅C₂ = C₃₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).5C2	288,98
(C₉×C₄⋊C₄).₆C₂ = Dic₉.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).6C2	288,99
(C₉×C₄⋊C₄).₇C₂ = C₃₆.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).7C2	288,100
(C₉×C₄⋊C₄).₈C₂ = C₉×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).8C2	288,53
(C₉×C₄⋊C₄).₉C₂ = C₉×C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).9C2	288,56
(C₉×C₄⋊C₄).₁₀C₂ = C₉×C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).10C2	288,57
(C₉×C₄⋊C₄).₁₁C₂ = C₉×C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).11C2	288,175
(C₉×C₄⋊C₄).₁₂C₂ = C₉×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₄⋊C₄	288		(C9xC4:C4).12C2	288,178
(C₉×C₄⋊C₄).₁₃C₂ = Q₈×C₃₆	φ: trivial image	288		(C9xC4:C4).13C2	288,169

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