Extensions 1→N→G→Q→1 with N=C₂×C₉⋊D₄ and Q=C₂

Direct product G=N×Q with N=C₂×C₉⋊D₄ and Q=C₂

		d	ρ	Label	ID
C₂²×C₉⋊D₄		144		C2^2xC9:D4	288,366

Semidirect products G=N:Q with N=C₂×C₉⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊D₄)⋊₁C₂ = C₂²⋊₃D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	72		(C2xC9:D4):1C2	288,92
(C₂×C₉⋊D₄)⋊₂C₂ = D₁₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4):2C2	288,94
(C₂×C₉⋊D₄)⋊₃C₂ = C₃₆⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4):3C2	288,140
(C₂×C₉⋊D₄)⋊₄C₂ = C₂³⋊₂D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	72		(C2xC9:D4):4C2	288,147
(C₂×C₉⋊D₄)⋊₅C₂ = C₃₆⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4):5C2	288,148
(C₂×C₉⋊D₄)⋊₆C₂ = Dic₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4):6C2	288,149
(C₂×C₉⋊D₄)⋊₇C₂ = C₃₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4):7C2	288,150
(C₂×C₉⋊D₄)⋊₈C₂ = C₂⁴⋊₄D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	72		(C2xC9:D4):8C2	288,163
(C₂×C₉⋊D₄)⋊₉C₂ = C₂×D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	72		(C2xC9:D4):9C2	288,356
(C₂×C₉⋊D₄)⋊₁₀C₂ = C₂×D₄⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4):10C2	288,357
(C₂×C₉⋊D₄)⋊₁₁C₂ = D₄⋊₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	72	4	(C2xC9:D4):11C2	288,358
(C₂×C₉⋊D₄)⋊₁₂C₂ = C₂×D₃₆⋊₅C₂	φ: trivial image	144		(C2xC9:D4):12C2	288,355

Non-split extensions G=N.Q with N=C₂×C₉⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₉⋊D₄).₁C₂ = C₂².D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	72	4	(C2xC9:D4).1C2	288,13
(C₂×C₉⋊D₄).₂C₂ = Dic₉⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4).2C2	288,91
(C₂×C₉⋊D₄).₃C₂ = C₂³.₉D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4).3C2	288,93
(C₂×C₉⋊D₄).₄C₂ = Dic₉.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4).4C2	288,95
(C₂×C₉⋊D₄).₅C₂ = C₂².₄D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4).5C2	288,96
(C₂×C₉⋊D₄).₆C₂ = C₂³.₂₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₉⋊D₄	144		(C2xC9:D4).6C2	288,139
(C₂×C₉⋊D₄).₇C₂ = C₄×C₉⋊D₄	φ: trivial image	144		(C2xC9:D4).7C2	288,138

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