Extensions 1→N→G→Q→1 with N=Q₈xC₉ and Q=C₂²

Direct product G=NxQ with N=Q₈xC₉ and Q=C₂²

		d	ρ	Label	ID
Q₈xC₂xC₁₈		288		Q8xC2xC18	288,369

Semidirect products G=N:Q with N=Q₈xC₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₉):₁C₂² = SD₁₆xD₉	φ: C₂²/C₁ → C₂² ⊆ Out Q₈xC₉	72	4	(Q8xC9):1C2^2	288,123
(Q₈xC₉):₂C₂² = D₇₂:C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈xC₉	72	4+	(Q8xC9):2C2^2	288,124
(Q₈xC₉):₃C₂² = C₂xQ₈:₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144		(Q8xC9):3C2^2	288,152
(Q₈xC₉):₄C₂² = D₄:D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	72	4+	(Q8xC9):4C2^2	288,160
(Q₈xC₉):₅C₂² = C₂xQ₈xD₉	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144		(Q8xC9):5C2^2	288,359
(Q₈xC₉):₆C₂² = C₂xQ₈:₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144		(Q8xC9):6C2^2	288,360
(Q₈xC₉):₇C₂² = C₄oD₄xD₉	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	72	4	(Q8xC9):7C2^2	288,362
(Q₈xC₉):₈C₂² = D₄:₈D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	72	4+	(Q8xC9):8C2^2	288,363
(Q₈xC₉):₉C₂² = SD₁₆xC₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144		(Q8xC9):9C2^2	288,183
(Q₈xC₉):₁₀C₂² = C₉xC₈:C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	72	4	(Q8xC9):10C2^2	288,186
(Q₈xC₉):₁₁C₂² = C₄oD₄xC₁₈	φ: trivial image	144		(Q8xC9):11C2^2	288,370
(Q₈xC₉):₁₂C₂² = C₉x2₊¹⁺⁴	φ: trivial image	72	4	(Q8xC9):12C2^2	288,371

Non-split extensions G=N.Q with N=Q₈xC₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₉).₁C₂² = SD₁₆:D₉	φ: C₂²/C₁ → C₂² ⊆ Out Q₈xC₉	144	4-	(Q8xC9).1C2^2	288,125
(Q₈xC₉).₂C₂² = SD₁₆:₃D₉	φ: C₂²/C₁ → C₂² ⊆ Out Q₈xC₉	144	4	(Q8xC9).2C2^2	288,126
(Q₈xC₉).₃C₂² = Q₁₆xD₉	φ: C₂²/C₁ → C₂² ⊆ Out Q₈xC₉	144	4-	(Q8xC9).3C2^2	288,127
(Q₈xC₉).₄C₂² = Q₁₆:D₉	φ: C₂²/C₁ → C₂² ⊆ Out Q₈xC₉	144	4	(Q8xC9).4C2^2	288,128
(Q₈xC₉).₅C₂² = D₇₂:₅C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈xC₉	144	4+	(Q8xC9).5C2^2	288,129
(Q₈xC₉).₆C₂² = C₂xC₉:Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	288		(Q8xC9).6C2^2	288,151
(Q₈xC₉).₇C₂² = C₃₆.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144	4	(Q8xC9).7C2^2	288,153
(Q₈xC₉).₈C₂² = D₄.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144	4-	(Q8xC9).8C2^2	288,159
(Q₈xC₉).₉C₂² = D₄.₉D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144	4	(Q8xC9).9C2^2	288,161
(Q₈xC₉).₁₀C₂² = Q₈.₁₅D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144	4	(Q8xC9).10C2^2	288,361
(Q₈xC₉).₁₁C₂² = D₄.₁₀D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144	4-	(Q8xC9).11C2^2	288,364
(Q₈xC₉).₁₂C₂² = Q₁₆xC₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	288		(Q8xC9).12C2^2	288,184
(Q₈xC₉).₁₃C₂² = C₉xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144	2	(Q8xC9).13C2^2	288,185
(Q₈xC₉).₁₄C₂² = C₉xC₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈xC₉	144	4	(Q8xC9).14C2^2	288,187
(Q₈xC₉).₁₅C₂² = C₉x2_-¹⁺⁴	φ: trivial image	144	4	(Q8xC9).15C2^2	288,372

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