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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₅)⋊₁C₄ = D₅×C₂.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):1C4	320,506
(C₈×D₅)⋊₂C₄ = C₈.₂₇(C₄×D₅)	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):2C4	320,507
(C₈×D₅)⋊₃C₄ = D₅×C₄.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):3C4	320,486
(C₈×D₅)⋊₄C₄ = (C₈×D₅)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):4C4	320,487
(C₈×D₅)⋊₅C₄ = D₁₀.₅C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):5C4	320,316
(C₈×D₅)⋊₆C₄ = C₂×D₅.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5):6C4	320,1058
(C₈×D₅)⋊₇C₄ = (C₂×C₈)⋊₆F₅	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5):7C4	320,1059
(C₈×D₅)⋊₈C₄ = C₂×C₄₀⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5):8C4	320,1057
(C₈×D₅)⋊₉C₄ = D₅×C₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):9C4	320,331
(C₈×D₅)⋊₁₀C₄ = D₁₀.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5):10C4	320,335
(C₈×D₅)⋊₁₁C₄ = C₂×C₈×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5):11C4	320,1054
(C₈×D₅)⋊₁₂C₄ = C₂×C₈⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	80		(C8xD5):12C4	320,1055
(C₈×D₅)⋊₁₃C₄ = C₂₀.₁₂C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5):13C4	320,1056

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈×D₅).₁C₄ = D₅×C₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).1C4	320,519
(C₈×D₅).₂C₄ = C₃₂⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160	2	(C8xD5).2C4	320,5
(C₈×D₅).₃C₄ = C₂×C₈₀⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).3C4	320,527
(C₈×D₅).₄C₄ = C₂×D₁₀.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).4C4	320,1061
(C₈×D₅).₅C₄ = C₂×C₄₀.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).5C4	320,1060
(C₈×D₅).₆C₄ = (C₈×D₅).C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).6C4	320,1062
(C₈×D₅).₇C₄ = D₅⋊C₃₂	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160	4	(C8xD5).7C4	320,179
(C₈×D₅).₈C₄ = C₈₀.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160	4	(C8xD5).8C4	320,180
(C₈×D₅).₉C₄ = D₅×M₅(2)	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).9C4	320,533
(C₈×D₅).₁₀C₄ = C₂×D₅⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).10C4	320,1051
(C₈×D₅).₁₁C₄ = C₂×C₈.F₅	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	160		(C8xD5).11C4	320,1052
(C₈×D₅).₁₂C₄ = D₅⋊M₅(2)	φ: C₄/C₂ → C₂ ⊆ Out C₈×D₅	80	4	(C8xD5).12C4	320,1053
(C₈×D₅).₁₃C₄ = D₅×C₃₂	φ: trivial image	160	2	(C8xD5).13C4	320,4
(C₈×D₅).₁₄C₄ = D₅×C₂×C₁₆	φ: trivial image	160		(C8xD5).14C4	320,526

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