Extensions 1→N→G→Q→1 with N=C₄xD₉ and Q=C₂²

Direct product G=NxQ with N=C₄xD₉ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₄xD₉		144		C2^2xC4xD9	288,353

Semidirect products G=N:Q with N=C₄xD₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₉):₁C₂² = D₄:₆D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄xD₉	72	4	(C4xD9):1C2^2	288,358
(C₄xD₉):₂C₂² = D₄:₈D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄xD₉	72	4+	(C4xD9):2C2^2	288,363
(C₄xD₉):₃C₂² = C₂xD₄xD₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	72		(C4xD9):3C2^2	288,356
(C₄xD₉):₄C₂² = C₂xD₄:₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144		(C4xD9):4C2^2	288,357
(C₄xD₉):₅C₂² = C₂xQ₈:₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144		(C4xD9):5C2^2	288,360
(C₄xD₉):₆C₂² = C₄oD₄xD₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	72	4	(C4xD9):6C2^2	288,362
(C₄xD₉):₇C₂² = C₂xD₃₆:₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144		(C4xD9):7C2^2	288,355

Non-split extensions G=N.Q with N=C₄xD₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₉).₁C₂² = D₈:D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₄xD₉	72	4	(C4xD9).1C2^2	288,121
(C₄xD₉).₂C₂² = D₇₂:C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄xD₉	72	4+	(C4xD9).2C2^2	288,124
(C₄xD₉).₃C₂² = SD₁₆:D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₄xD₉	144	4-	(C4xD9).3C2^2	288,125
(C₄xD₉).₄C₂² = Q₁₆:D₉	φ: C₂²/C₁ → C₂² ⊆ Out C₄xD₉	144	4	(C4xD9).4C2^2	288,128
(C₄xD₉).₅C₂² = Q₈.₁₅D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄xD₉	144	4	(C4xD9).5C2^2	288,361
(C₄xD₉).₆C₂² = D₄.₁₀D₁₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄xD₉	144	4-	(C4xD9).6C2^2	288,364
(C₄xD₉).₇C₂² = D₈xD₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	72	4+	(C4xD9).7C2^2	288,120
(C₄xD₉).₈C₂² = D₈:₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144	4-	(C4xD9).8C2^2	288,122
(C₄xD₉).₉C₂² = SD₁₆xD₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	72	4	(C4xD9).9C2^2	288,123
(C₄xD₉).₁₀C₂² = SD₁₆:₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144	4	(C4xD9).10C2^2	288,126
(C₄xD₉).₁₁C₂² = Q₁₆xD₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144	4-	(C4xD9).11C2^2	288,127
(C₄xD₉).₁₂C₂² = D₇₂:₅C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144	4+	(C4xD9).12C2^2	288,129
(C₄xD₉).₁₃C₂² = C₂xQ₈xD₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144		(C4xD9).13C2^2	288,359
(C₄xD₉).₁₄C₂² = C₂xC₈:D₉	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144		(C4xD9).14C2^2	288,111
(C₄xD₉).₁₅C₂² = D₃₆.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144	2	(C4xD9).15C2^2	288,112
(C₄xD₉).₁₆C₂² = D₃₆.C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄xD₉	144	4	(C4xD9).16C2^2	288,117
(C₄xD₉).₁₇C₂² = C₂xC₈xD₉	φ: trivial image	144		(C4xD9).17C2^2	288,110
(C₄xD₉).₁₈C₂² = M₄(2)xD₉	φ: trivial image	72	4	(C4xD9).18C2^2	288,116

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