Extensions 1→N→G→Q→1 with N=Q₈×C₉ and Q=C₂²

Direct product G=N×Q with N=Q₈×C₉ and Q=C₂²

		d	ρ	Label	ID
Q₈×C₂×C₁₈		288		Q8xC2xC18	288,369

Semidirect products G=N:Q with N=Q₈×C₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₉)⋊₁C₂² = SD₁₆×D₉	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₉	72	4	(Q8xC9):1C2^2	288,123
(Q₈×C₉)⋊₂C₂² = D₇₂⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₉	72	4+	(Q8xC9):2C2^2	288,124
(Q₈×C₉)⋊₃C₂² = C₂×Q₈⋊₂D₉	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144		(Q8xC9):3C2^2	288,152
(Q₈×C₉)⋊₄C₂² = D₄⋊D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	72	4+	(Q8xC9):4C2^2	288,160
(Q₈×C₉)⋊₅C₂² = C₂×Q₈×D₉	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144		(Q8xC9):5C2^2	288,359
(Q₈×C₉)⋊₆C₂² = C₂×Q₈⋊₃D₉	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144		(Q8xC9):6C2^2	288,360
(Q₈×C₉)⋊₇C₂² = C₄○D₄×D₉	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	72	4	(Q8xC9):7C2^2	288,362
(Q₈×C₉)⋊₈C₂² = D₄⋊₈D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	72	4+	(Q8xC9):8C2^2	288,363
(Q₈×C₉)⋊₉C₂² = SD₁₆×C₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144		(Q8xC9):9C2^2	288,183
(Q₈×C₉)⋊₁₀C₂² = C₉×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	72	4	(Q8xC9):10C2^2	288,186
(Q₈×C₉)⋊₁₁C₂² = C₄○D₄×C₁₈	φ: trivial image	144		(Q8xC9):11C2^2	288,370
(Q₈×C₉)⋊₁₂C₂² = C₉×2₊¹⁺⁴	φ: trivial image	72	4	(Q8xC9):12C2^2	288,371

Non-split extensions G=N.Q with N=Q₈×C₉ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₉).₁C₂² = SD₁₆⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₉	144	4-	(Q8xC9).1C2^2	288,125
(Q₈×C₉).₂C₂² = SD₁₆⋊₃D₉	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₉	144	4	(Q8xC9).2C2^2	288,126
(Q₈×C₉).₃C₂² = Q₁₆×D₉	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₉	144	4-	(Q8xC9).3C2^2	288,127
(Q₈×C₉).₄C₂² = Q₁₆⋊D₉	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₉	144	4	(Q8xC9).4C2^2	288,128
(Q₈×C₉).₅C₂² = D₇₂⋊₅C₂	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×C₉	144	4+	(Q8xC9).5C2^2	288,129
(Q₈×C₉).₆C₂² = C₂×C₉⋊Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	288		(Q8xC9).6C2^2	288,151
(Q₈×C₉).₇C₂² = C₃₆.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144	4	(Q8xC9).7C2^2	288,153
(Q₈×C₉).₈C₂² = D₄.D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144	4-	(Q8xC9).8C2^2	288,159
(Q₈×C₉).₉C₂² = D₄.₉D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144	4	(Q8xC9).9C2^2	288,161
(Q₈×C₉).₁₀C₂² = Q₈.₁₅D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144	4	(Q8xC9).10C2^2	288,361
(Q₈×C₉).₁₁C₂² = D₄.₁₀D₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144	4-	(Q8xC9).11C2^2	288,364
(Q₈×C₉).₁₂C₂² = Q₁₆×C₁₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	288		(Q8xC9).12C2^2	288,184
(Q₈×C₉).₁₃C₂² = C₉×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144	2	(Q8xC9).13C2^2	288,185
(Q₈×C₉).₁₄C₂² = C₉×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×C₉	144	4	(Q8xC9).14C2^2	288,187
(Q₈×C₉).₁₅C₂² = C₉×2_-¹⁺⁴	φ: trivial image	144	4	(Q8xC9).15C2^2	288,372

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