Extensions 1→N→G→Q→1 with N=C₂²×Q₈ and Q=D₅

Direct product G=N×Q with N=C₂²×Q₈ and Q=D₅

		d	ρ	Label	ID
C₂²×Q₈×D₅		160		C2^2xQ8xD5	320,1615

Semidirect products G=N:Q with N=C₂²×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Q₈)⋊₁D₅ = (C₅×Q₈)⋊₁₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8):1D5	320,854
(C₂²×Q₈)⋊₂D₅ = (C₂²×D₅)⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8):2D5	320,858
(C₂²×Q₈)⋊₃D₅ = C₂²×Q₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8):3D5	320,1479
(C₂²×Q₈)⋊₄D₅ = C₂×C₂₀.C₂³	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8):4D5	320,1480
(C₂²×Q₈)⋊₅D₅ = C₂×D₁₀⋊₃Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8):5D5	320,1485
(C₂²×Q₈)⋊₆D₅ = C₂×C₂₀.₂₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8):6D5	320,1486
(C₂²×Q₈)⋊₇D₅ = Q₈×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8):7D5	320,1487
(C₂²×Q₈)⋊₈D₅ = C₁₀.₄₄2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8):8D5	320,1488
(C₂²×Q₈)⋊₉D₅ = C₁₀.₄₅2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8):9D5	320,1489
(C₂²×Q₈)⋊₁₀D₅ = C₂×Q₈.₁₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8):10D5	320,1617
(C₂²×Q₈)⋊₁₁D₅ = C₂²×Q₈⋊₂D₅	φ: trivial image	160		(C2^2xQ8):11D5	320,1616

Non-split extensions G=N.Q with N=C₂²×Q₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×Q₈).₁D₅ = C₂×Q₈⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	320		(C2^2xQ8).1D5	320,851
(C₂²×Q₈).₂D₅ = (Q₈×C₁₀)⋊₁₆C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8).2D5	320,852
(C₂²×Q₈).₃D₅ = C₂×C₂₀.₁₀D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8).3D5	320,853
(C₂²×Q₈).₄D₅ = (C₂×C₁₀)⋊₈Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8).4D5	320,855
(C₂²×Q₈).₅D₅ = C₁₀.C₂²≀C₂	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	320		(C2^2xQ8).5D5	320,856
(C₂²×Q₈).₆D₅ = (Q₈×C₁₀)⋊₁₇C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	320		(C2^2xQ8).6D5	320,857
(C₂²×Q₈).₇D₅ = C₂²×C₅⋊Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	320		(C2^2xQ8).7D5	320,1481
(C₂²×Q₈).₈D₅ = C₂×Dic₅⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	320		(C2^2xQ8).8D5	320,1482
(C₂²×Q₈).₉D₅ = C₁₀.₄₂2_-¹⁺⁴	φ: D₅/C₅ → C₂ ⊆ Out C₂²×Q₈	160		(C2^2xQ8).9D5	320,1484
(C₂²×Q₈).₁₀D₅ = C₂×Q₈×Dic₅	φ: trivial image	320		(C2^2xQ8).10D5	320,1483

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