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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₉)⋊₁C₂² = D₄⋊₆D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₉	72	4	(C4xD9):1C2^2	288,358
(C₄×D₉)⋊₂C₂² = D₄⋊₈D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₉	72	4+	(C4xD9):2C2^2	288,363
(C₄×D₉)⋊₃C₂² = C₂×D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	72		(C4xD9):3C2^2	288,356
(C₄×D₉)⋊₄C₂² = C₂×D₄⋊₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144		(C4xD9):4C2^2	288,357
(C₄×D₉)⋊₅C₂² = C₂×Q₈⋊₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144		(C4xD9):5C2^2	288,360
(C₄×D₉)⋊₆C₂² = C₄○D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	72	4	(C4xD9):6C2^2	288,362
(C₄×D₉)⋊₇C₂² = C₂×D₃₆⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144		(C4xD9):7C2^2	288,355

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₉).₁C₂² = D₈⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₉	72	4	(C4xD9).1C2^2	288,121
(C₄×D₉).₂C₂² = D₇₂⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₉	72	4+	(C4xD9).2C2^2	288,124
(C₄×D₉).₃C₂² = SD₁₆⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₉	144	4-	(C4xD9).3C2^2	288,125
(C₄×D₉).₄C₂² = Q₁₆⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₉	144	4	(C4xD9).4C2^2	288,128
(C₄×D₉).₅C₂² = Q₈.₁₅D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₉	144	4	(C4xD9).5C2^2	288,361
(C₄×D₉).₆C₂² = D₄.₁₀D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄×D₉	144	4-	(C4xD9).6C2^2	288,364
(C₄×D₉).₇C₂² = D₈×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	72	4+	(C4xD9).7C2^2	288,120
(C₄×D₉).₈C₂² = D₈⋊₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144	4-	(C4xD9).8C2^2	288,122
(C₄×D₉).₉C₂² = SD₁₆×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	72	4	(C4xD9).9C2^2	288,123
(C₄×D₉).₁₀C₂² = SD₁₆⋊₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144	4	(C4xD9).10C2^2	288,126
(C₄×D₉).₁₁C₂² = Q₁₆×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144	4-	(C4xD9).11C2^2	288,127
(C₄×D₉).₁₂C₂² = D₇₂⋊₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144	4+	(C4xD9).12C2^2	288,129
(C₄×D₉).₁₃C₂² = C₂×Q₈×D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144		(C4xD9).13C2^2	288,359
(C₄×D₉).₁₄C₂² = C₂×C₈⋊D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144		(C4xD9).14C2^2	288,111
(C₄×D₉).₁₅C₂² = D₃₆.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144	2	(C4xD9).15C2^2	288,112
(C₄×D₉).₁₆C₂² = D₃₆.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄×D₉	144	4	(C4xD9).16C2^2	288,117
(C₄×D₉).₁₇C₂² = C₂×C₈×D₉	φ: trivial image	144		(C4xD9).17C2^2	288,110
(C₄×D₉).₁₈C₂² = M₄(2)×D₉	φ: trivial image	72	4	(C4xD9).18C2^2	288,116

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