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

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

		d	ρ	Label	ID
C₄²×D₉		144		C4^2xD9	288,81

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₉)⋊₁C₄ = C₄⋊C₄×D₉	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₉	144		(C4xD9):1C4	288,101
(C₄×D₉)⋊₂C₄ = C₄⋊C₄⋊₇D₉	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₉	144		(C4xD9):2C4	288,102
(C₄×D₉)⋊₃C₄ = C₄²⋊₂D₉	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₉	144		(C4xD9):3C4	288,82

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₉).₁C₄ = M₄(2)×D₉	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₉	72	4	(C4xD9).1C4	288,116
(C₄×D₉).₂C₄ = C₁₆⋊D₉	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₉	144	2	(C4xD9).2C4	288,5
(C₄×D₉).₃C₄ = C₂×C₈⋊D₉	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₉	144		(C4xD9).3C4	288,111
(C₄×D₉).₄C₄ = C₁₆×D₉	φ: trivial image	144	2	(C4xD9).4C4	288,4
(C₄×D₉).₅C₄ = C₂×C₈×D₉	φ: trivial image	144		(C4xD9).5C4	288,110

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