Extensions 1→N→G→Q→1 with N=C₂²×D₉ and Q=C₄

Direct product G=N×Q with N=C₂²×D₉ and Q=C₄

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

Semidirect products G=N:Q with N=C₂²×D₉ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₉)⋊C₄ = C₂².D₃₆	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₉	72	4	(C2^2xD9):C4	288,13
(C₂²×D₉)⋊₂C₄ = C₂²⋊C₄×D₉	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₉	72		(C2^2xD9):2C4	288,90
(C₂²×D₉)⋊₃C₄ = C₂×D₁₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₉	144		(C2^2xD9):3C4	288,137

Non-split extensions G=N.Q with N=C₂²×D₉ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₉).C₄ = C₃₆.₄₈D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₉	72	4+	(C2^2xD9).C4	288,31
(C₂²×D₉).₂C₄ = D₁₈⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₉	144		(C2^2xD9).2C4	288,27
(C₂²×D₉).₃C₄ = C₂×C₈⋊D₉	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₉	144		(C2^2xD9).3C4	288,111
(C₂²×D₉).₄C₄ = M₄(2)×D₉	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₉	72	4	(C2^2xD9).4C4	288,116
(C₂²×D₉).₅C₄ = C₂×C₈×D₉	φ: trivial image	144		(C2^2xD9).5C4	288,110

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