Extensions 1→N→G→Q→1 with N=C₂²×D₅ and Q=C₈

Direct product G=N×Q with N=C₂²×D₅ and Q=C₈

		d	ρ	Label	ID
D₅×C₂²×C₈		160		D5xC2^2xC8	320,1408

Semidirect products G=N:Q with N=C₂²×D₅ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅)⋊₁C₈ = C₅⋊₃(C₂³⋊C₈)	φ: C₈/C₂ → C₄ ⊆ Out C₂²×D₅	80		(C2^2xD5):1C8	320,26
(C₂²×D₅)⋊₂C₈ = C₅⋊(C₂³⋊C₈)	φ: C₈/C₂ → C₄ ⊆ Out C₂²×D₅	80		(C2^2xD5):2C8	320,253
(C₂²×D₅)⋊₃C₈ = D₅×C₂²⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5):3C8	320,351
(C₂²×D₅)⋊₄C₈ = C₂×D₁₀⋊₁C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	160		(C2^2xD5):4C8	320,735
(C₂²×D₅)⋊₅C₈ = C₂×D₁₀⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	160		(C2^2xD5):5C8	320,1089
(C₂²×D₅)⋊₆C₈ = D₁₀.₁₁M₄(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5):6C8	320,1091
(C₂²×D₅)⋊₇C₈ = C₂²×D₅⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	160		(C2^2xD5):7C8	320,1587

Non-split extensions G=N.Q with N=C₂²×D₅ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅).₁C₈ = C₈.₂₅D₂₀	φ: C₈/C₂ → C₄ ⊆ Out C₂²×D₅	80	4	(C2^2xD5).1C8	320,72
(C₂²×D₅).₂C₈ = C₂₀.₁₀M₄(2)	φ: C₈/C₂ → C₄ ⊆ Out C₂²×D₅	80	4	(C2^2xD5).2C8	320,229
(C₂²×D₅).₃C₈ = D₁₀⋊₁C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	160		(C2^2xD5).3C8	320,65
(C₂²×D₅).₄C₈ = C₂×C₈₀⋊C₂	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	160		(C2^2xD5).4C8	320,527
(C₂²×D₅).₅C₈ = D₅×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	80	4	(C2^2xD5).5C8	320,533
(C₂²×D₅).₆C₈ = D₁₀⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	160		(C2^2xD5).6C8	320,225
(C₂²×D₅).₇C₈ = C₂×D₅⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	160		(C2^2xD5).7C8	320,1051
(C₂²×D₅).₈C₈ = C₂×C₈.F₅	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	160		(C2^2xD5).8C8	320,1052
(C₂²×D₅).₉C₈ = D₅⋊M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₂²×D₅	80	4	(C2^2xD5).9C8	320,1053
(C₂²×D₅).₁₀C₈ = D₅×C₂×C₁₆	φ: trivial image	160		(C2^2xD5).10C8	320,526

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