Extensions 1→N→G→Q→1 with N=C₄×C₁₁⋊C₅ and Q=C₂

Direct product G=N×Q with N=C₄×C₁₁⋊C₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₁₁⋊C₅		88		C2xC4xC11:C5	440,12

Semidirect products G=N:Q with N=C₄×C₁₁⋊C₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₁₁⋊C₅)⋊₁C₂ = D₄₄⋊C₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₁⋊C₅	44	10+	(C4xC11:C5):1C2	440,9
(C₄×C₁₁⋊C₅)⋊₂C₂ = C₄×F₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₁⋊C₅	44	10	(C4xC11:C5):2C2	440,8
(C₄×C₁₁⋊C₅)⋊₃C₂ = D₄×C₁₁⋊C₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₁⋊C₅	44	10	(C4xC11:C5):3C2	440,13

Non-split extensions G=N.Q with N=C₄×C₁₁⋊C₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₁₁⋊C₅).₁C₂ = C₄.F₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₁⋊C₅	88	10-	(C4xC11:C5).1C2	440,7
(C₄×C₁₁⋊C₅).₂C₂ = C₁₁⋊C₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₁⋊C₅	88	10	(C4xC11:C5).2C2	440,1
(C₄×C₁₁⋊C₅).₃C₂ = Q₈×C₁₁⋊C₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₁⋊C₅	88	10	(C4xC11:C5).3C2	440,14
(C₄×C₁₁⋊C₅).₄C₂ = C₈×C₁₁⋊C₅	φ: trivial image	88	5	(C4xC11:C5).4C2	440,2

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