Extensions 1→N→G→Q→1 with N=C₄×D₅ and Q=Q₈

Direct product G=N×Q with N=C₄×D₅ and Q=Q₈

		d	ρ	Label	ID
C₄×Q₈×D₅		160		C4xQ8xD5	320,1243

Semidirect products G=N:Q with N=C₄×D₅ and Q=Q₈

extension	φ:Q→Out N	d	Label	ID
(C₄×D₅)⋊₁Q₈ = C₄².₁₄₈D₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	160	(C4xD5):1Q8	320,1361
(C₄×D₅)⋊₂Q₈ = C₄².₁₇₄D₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	160	(C4xD5):2Q8	320,1401
(C₄×D₅)⋊₃Q₈ = C₄².₂₃₆D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160	(C4xD5):3Q8	320,1360
(C₄×D₅)⋊₄Q₈ = D₅×C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160	(C4xD5):4Q8	320,1395
(C₄×D₅)⋊₅Q₈ = C₄².₂₄₁D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160	(C4xD5):5Q8	320,1400
(C₄×D₅)⋊₆Q₈ = C₄².₂₃₂D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160	(C4xD5):6Q8	320,1250

Non-split extensions G=N.Q with N=C₄×D₅ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₅).₁Q₈ = C₈⋊(C₄×D₅)	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	160		(C4xD5).1Q8	320,488
(C₄×D₅).₂Q₈ = C₄₀⋊₂₀(C₂×C₄)	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	160		(C4xD5).2Q8	320,508
(C₄×D₅).₃Q₈ = D₁₀.₁₈D₈	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5).3Q8	320,212
(C₄×D₅).₄Q₈ = C₂₀.C₄²	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5).4Q8	320,213
(C₄×D₅).₅Q₈ = M₄(2)⋊F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	40	8	(C4xD5).5Q8	320,237
(C₄×D₅).₆Q₈ = M₄(2)⋊₄F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	80	8	(C4xD5).6Q8	320,240
(C₄×D₅).₇Q₈ = C₄⋊C₄.₉F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	160		(C4xD5).7Q8	320,1046
(C₄×D₅).₈Q₈ = C₂₀⋊(C₄⋊C₄)	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	80		(C4xD5).8Q8	320,1050
(C₄×D₅).₉Q₈ = M₄(2)⋊₁F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	40	8	(C4xD5).9Q8	320,1065
(C₄×D₅).₁₀Q₈ = M₄(2).₁F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	80	8	(C4xD5).10Q8	320,1067
(C₄×D₅).₁₁Q₈ = C₄²⋊₃F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	80	4	(C4xD5).11Q8	320,201
(C₄×D₅).₁₂Q₈ = (C₂×C₈)⋊F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄×D₅	80	4	(C4xD5).12Q8	320,232
(C₄×D₅).₁₃Q₈ = D₅×C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).13Q8	320,486
(C₄×D₅).₁₄Q₈ = (C₈×D₅)⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).14Q8	320,487
(C₄×D₅).₁₅Q₈ = D₅×C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).15Q8	320,506
(C₄×D₅).₁₆Q₈ = C₈.₂₇(C₄×D₅)	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).16Q8	320,507
(C₄×D₅).₁₇Q₈ = D₅×C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).17Q8	320,1359
(C₄×D₅).₁₈Q₈ = C₂₀⋊₅M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).18Q8	320,464
(C₄×D₅).₁₉Q₈ = C₄².₃₀D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).19Q8	320,466
(C₄×D₅).₂₀Q₈ = C₂₀⋊₃M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).20Q8	320,1019
(C₄×D₅).₂₁Q₈ = C₄².₁₄F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).21Q8	320,1020
(C₄×D₅).₂₂Q₈ = C₄²⋊₈F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	80		(C4xD5).22Q8	320,1026
(C₄×D₅).₂₃Q₈ = C₄²⋊₉F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	80		(C4xD5).23Q8	320,1027
(C₄×D₅).₂₄Q₈ = C₂×C₄₀⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	80		(C4xD5).24Q8	320,1057
(C₄×D₅).₂₅Q₈ = C₂×D₅.D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	80		(C4xD5).25Q8	320,1058
(C₄×D₅).₂₆Q₈ = C₂×C₄₀.C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).26Q8	320,1060
(C₄×D₅).₂₇Q₈ = C₂×D₁₀.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).27Q8	320,1061
(C₄×D₅).₂₈Q₈ = C₄²⋊₆F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	40	4	(C4xD5).28Q8	320,200
(C₄×D₅).₂₉Q₈ = D₁₀.₃M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	80		(C4xD5).29Q8	320,230
(C₄×D₅).₃₀Q₈ = C₄².₁₁F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	160		(C4xD5).30Q8	320,1017
(C₄×D₅).₃₁Q₈ = C₄×C₄⋊F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	80		(C4xD5).31Q8	320,1025
(C₄×D₅).₃₂Q₈ = (C₂×C₈)⋊₆F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).32Q8	320,1059
(C₄×D₅).₃₃Q₈ = (C₈×D₅).C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄×D₅	80	4	(C4xD5).33Q8	320,1062
(C₄×D₅).₃₄Q₈ = D₅×C₄⋊C₈	φ: trivial image	160		(C4xD5).34Q8	320,459

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Extensions 1→N→G→Q→1 with N=C4×D5 and Q=Q8

Extensions 1→N→G→Q→1 with N=C₄×D₅ and Q=Q₈