Extensions 1→N→G→Q→1 with N=D₄xC₉ and Q=C₂²

Direct product G=NxQ with N=D₄xC₉ and Q=C₂²

		d	ρ	Label	ID
D₄xC₂xC₁₈		144		D4xC2xC18	288,368

Semidirect products G=N:Q with N=D₄xC₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₉):₁C₂² = D₈xD₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₉	72	4+	(D4xC9):1C2^2	288,120
(D₄xC₉):₂C₂² = D₈:D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₉	72	4	(D4xC9):2C2^2	288,121
(D₄xC₉):₃C₂² = C₂xD₄:D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	144		(D4xC9):3C2^2	288,142
(D₄xC₉):₄C₂² = D₄:D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	72	4+	(D4xC9):4C2^2	288,160
(D₄xC₉):₅C₂² = C₂xD₄xD₉	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	72		(D4xC9):5C2^2	288,356
(D₄xC₉):₆C₂² = C₂xD₄:₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	144		(D4xC9):6C2^2	288,357
(D₄xC₉):₇C₂² = D₄:₆D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	72	4	(D4xC9):7C2^2	288,358
(D₄xC₉):₈C₂² = C₄oD₄xD₉	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	72	4	(D4xC9):8C2^2	288,362
(D₄xC₉):₉C₂² = D₄:₈D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	72	4+	(D4xC9):9C2^2	288,363
(D₄xC₉):₁₀C₂² = D₈xC₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	144		(D4xC9):10C2^2	288,182
(D₄xC₉):₁₁C₂² = C₉xC₈:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	72	4	(D4xC9):11C2^2	288,186
(D₄xC₉):₁₂C₂² = C₄oD₄xC₁₈	φ: trivial image	144		(D4xC9):12C2^2	288,370
(D₄xC₉):₁₃C₂² = C₉x2₊¹⁺⁴	φ: trivial image	72	4	(D4xC9):13C2^2	288,371

Non-split extensions G=N.Q with N=D₄xC₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄xC₉).₁C₂² = D₈:₃D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₉	144	4-	(D4xC9).1C2^2	288,122
(D₄xC₉).₂C₂² = SD₁₆xD₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₉	72	4	(D4xC9).2C2^2	288,123
(D₄xC₉).₃C₂² = D₇₂:C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₉	72	4+	(D4xC9).3C2^2	288,124
(D₄xC₉).₄C₂² = SD₁₆:D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₉	144	4-	(D4xC9).4C2^2	288,125
(D₄xC₉).₅C₂² = SD₁₆:₃D₉	φ: C₂²/C₁ → C₂² ⊆ Out D₄xC₉	144	4	(D4xC9).5C2^2	288,126
(D₄xC₉).₆C₂² = C₂xD₄.D₉	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	144		(D4xC9).6C2^2	288,141
(D₄xC₉).₇C₂² = D₃₆:₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	72	4	(D4xC9).7C2^2	288,143
(D₄xC₉).₈C₂² = D₄.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	144	4-	(D4xC9).8C2^2	288,159
(D₄xC₉).₉C₂² = D₄.₉D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	144	4	(D4xC9).9C2^2	288,161
(D₄xC₉).₁₀C₂² = D₄.₁₀D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	144	4-	(D4xC9).10C2^2	288,364
(D₄xC₉).₁₁C₂² = SD₁₆xC₁₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	144		(D4xC9).11C2^2	288,183
(D₄xC₉).₁₂C₂² = C₉xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	144	2	(D4xC9).12C2^2	288,185
(D₄xC₉).₁₃C₂² = C₉xC₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄xC₉	144	4	(D4xC9).13C2^2	288,187
(D₄xC₉).₁₄C₂² = C₉x2_-¹⁺⁴	φ: trivial image	144	4	(D4xC9).14C2^2	288,372

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