Extensions 1→N→G→Q→1 with N=D₄×C₉ and Q=C₂²

Direct product G=N×Q with N=D₄×C₉ and Q=C₂²

		d	ρ	Label	ID
D₄×C₂×C₁₈		144		D4xC2xC18	288,368

Semidirect products G=N:Q with N=D₄×C₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₉)⋊₁C₂² = D₈×D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₉	72	4+	(D4xC9):1C2^2	288,120
(D₄×C₉)⋊₂C₂² = D₈⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₉	72	4	(D4xC9):2C2^2	288,121
(D₄×C₉)⋊₃C₂² = C₂×D₄⋊D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	144		(D4xC9):3C2^2	288,142
(D₄×C₉)⋊₄C₂² = D₄⋊D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	72	4+	(D4xC9):4C2^2	288,160
(D₄×C₉)⋊₅C₂² = C₂×D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	72		(D4xC9):5C2^2	288,356
(D₄×C₉)⋊₆C₂² = C₂×D₄⋊₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	144		(D4xC9):6C2^2	288,357
(D₄×C₉)⋊₇C₂² = D₄⋊₆D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9):7C2^2	288,358
(D₄×C₉)⋊₈C₂² = C₄○D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9):8C2^2	288,362
(D₄×C₉)⋊₉C₂² = D₄⋊₈D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	72	4+	(D4xC9):9C2^2	288,363
(D₄×C₉)⋊₁₀C₂² = D₈×C₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	144		(D4xC9):10C2^2	288,182
(D₄×C₉)⋊₁₁C₂² = C₉×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9):11C2^2	288,186
(D₄×C₉)⋊₁₂C₂² = C₄○D₄×C₁₈	φ: trivial image	144		(D4xC9):12C2^2	288,370
(D₄×C₉)⋊₁₃C₂² = C₉×2₊¹⁺⁴	φ: trivial image	72	4	(D4xC9):13C2^2	288,371

Non-split extensions G=N.Q with N=D₄×C₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₉).₁C₂² = D₈⋊₃D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₉	144	4-	(D4xC9).1C2^2	288,122
(D₄×C₉).₂C₂² = SD₁₆×D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₉	72	4	(D4xC9).2C2^2	288,123
(D₄×C₉).₃C₂² = D₇₂⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₉	72	4+	(D4xC9).3C2^2	288,124
(D₄×C₉).₄C₂² = SD₁₆⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₉	144	4-	(D4xC9).4C2^2	288,125
(D₄×C₉).₅C₂² = SD₁₆⋊₃D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄×C₉	144	4	(D4xC9).5C2^2	288,126
(D₄×C₉).₆C₂² = C₂×D₄.D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	144		(D4xC9).6C2^2	288,141
(D₄×C₉).₇C₂² = D₃₆⋊₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	72	4	(D4xC9).7C2^2	288,143
(D₄×C₉).₈C₂² = D₄.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	144	4-	(D4xC9).8C2^2	288,159
(D₄×C₉).₉C₂² = D₄.₉D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	144	4	(D4xC9).9C2^2	288,161
(D₄×C₉).₁₀C₂² = D₄.₁₀D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	144	4-	(D4xC9).10C2^2	288,364
(D₄×C₉).₁₁C₂² = SD₁₆×C₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	144		(D4xC9).11C2^2	288,183
(D₄×C₉).₁₂C₂² = C₉×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	144	2	(D4xC9).12C2^2	288,185
(D₄×C₉).₁₃C₂² = C₉×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄×C₉	144	4	(D4xC9).13C2^2	288,187
(D₄×C₉).₁₄C₂² = C₉×2_-¹⁺⁴	φ: trivial image	144	4	(D4xC9).14C2^2	288,372

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