Extensions 1→N→G→Q→1 with N=C₄×D₅ and Q=C₈

Direct product G=N×Q with N=C₄×D₅ and Q=C₈

		d	ρ	Label	ID
D₅×C₄×C₈		160		D5xC4xC8	320,311

Semidirect products G=N:Q with N=C₄×D₅ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅)⋊₁C₈ = D₅×C₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5):1C8	320,459
(C₄×D₅)⋊₂C₈ = C₄².₂₀₀D₁₀	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5):2C8	320,460
(C₄×D₅)⋊₃C₈ = C₄².₂₈₂D₁₀	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5):3C8	320,312
(C₄×D₅)⋊₄C₈ = C₄².₁₁F₅	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5):4C8	320,1017
(C₄×D₅)⋊₅C₈ = C₄².₁₂F₅	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5):5C8	320,1018
(C₄×D₅)⋊₆C₈ = C₄×D₅⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5):6C8	320,1013
(C₄×D₅)⋊₇C₈ = C₄².₆F₅	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5):7C8	320,1016

Non-split extensions G=N.Q with N=C₄×D₅ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅).₁C₈ = D₅×M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).1C8	320,533
(C₄×D₅).₂C₈ = C₃₂⋊D₅	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160	2	(C4xD5).2C8	320,5
(C₄×D₅).₃C₈ = C₂×C₈₀⋊C₂	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).3C8	320,527
(C₄×D₅).₄C₈ = D₅⋊M₅(2)	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).4C8	320,1053
(C₄×D₅).₅C₈ = D₅⋊C₃₂	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160	4	(C4xD5).5C8	320,179
(C₄×D₅).₆C₈ = C₈₀.C₄	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160	4	(C4xD5).6C8	320,180
(C₄×D₅).₇C₈ = C₂×D₅⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).7C8	320,1051
(C₄×D₅).₈C₈ = C₂×C₈.F₅	φ: C₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).8C8	320,1052
(C₄×D₅).₉C₈ = D₅×C₃₂	φ: trivial image	160	2	(C4xD5).9C8	320,4
(C₄×D₅).₁₀C₈ = D₅×C₂×C₁₆	φ: trivial image	160		(C4xD5).10C8	320,526

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