Extensions 1→N→G→Q→1 with N=C₈×D₉ and Q=C₂

Direct product G=N×Q with N=C₈×D₉ and Q=C₂

		d	ρ	Label	ID
C₂×C₈×D₉		144		C2xC8xD9	288,110

Semidirect products G=N:Q with N=C₈×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₉)⋊₁C₂ = D₈×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₉	72	4+	(C8xD9):1C2	288,120
(C₈×D₉)⋊₂C₂ = D₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₉	144	4-	(C8xD9):2C2	288,122
(C₈×D₉)⋊₃C₂ = D₇₂⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₉	144	4+	(C8xD9):3C2	288,129
(C₈×D₉)⋊₄C₂ = SD₁₆×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₉	72	4	(C8xD9):4C2	288,123
(C₈×D₉)⋊₅C₂ = SD₁₆⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₉	144	4	(C8xD9):5C2	288,126
(C₈×D₉)⋊₆C₂ = D₃₆.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₉	144	2	(C8xD9):6C2	288,112
(C₈×D₉)⋊₇C₂ = M₄(2)×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₉	72	4	(C8xD9):7C2	288,116
(C₈×D₉)⋊₈C₂ = D₃₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₉	144	4	(C8xD9):8C2	288,117

Non-split extensions G=N.Q with N=C₈×D₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₉).₁C₂ = Q₁₆×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₉	144	4-	(C8xD9).1C2	288,127
(C₈×D₉).₂C₂ = C₁₆⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₈×D₉	144	2	(C8xD9).2C2	288,5
(C₈×D₉).₃C₂ = C₁₆×D₉	φ: trivial image	144	2	(C8xD9).3C2	288,4

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