Extensions 1→N→G→Q→1 with N=C₄xD₅ and Q=Q₈

Direct product G=NxQ with N=C₄xD₅ and Q=Q₈

		d	ρ	Label	ID
C₄xQ₈xD₅		160		C4xQ8xD5	320,1243

Semidirect products G=N:Q with N=C₄xD₅ and Q=Q₈

extension	φ:Q→Out N	d	Label	ID
(C₄xD₅):₁Q₈ = C₄².₁₄₈D₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	160	(C4xD5):1Q8	320,1361
(C₄xD₅):₂Q₈ = C₄².₁₇₄D₁₀	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	160	(C4xD5):2Q8	320,1401
(C₄xD₅):₃Q₈ = C₄².₂₃₆D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160	(C4xD5):3Q8	320,1360
(C₄xD₅):₄Q₈ = D₅xC₄:Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160	(C4xD5):4Q8	320,1395
(C₄xD₅):₅Q₈ = C₄².₂₄₁D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160	(C4xD5):5Q8	320,1400
(C₄xD₅):₆Q₈ = C₄².₂₃₂D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160	(C4xD5):6Q8	320,1250

Non-split extensions G=N.Q with N=C₄xD₅ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₅).₁Q₈ = C₈:(C₄xD₅)	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	160		(C4xD5).1Q8	320,488
(C₄xD₅).₂Q₈ = C₄₀:₂₀(C₂xC₄)	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	160		(C4xD5).2Q8	320,508
(C₄xD₅).₃Q₈ = D₁₀.₁₈D₈	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	80		(C4xD5).3Q8	320,212
(C₄xD₅).₄Q₈ = C₂₀.C₄²	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	80		(C4xD5).4Q8	320,213
(C₄xD₅).₅Q₈ = M₄(2):F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	40	8	(C4xD5).5Q8	320,237
(C₄xD₅).₆Q₈ = M₄(2):₄F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	80	8	(C4xD5).6Q8	320,240
(C₄xD₅).₇Q₈ = C₄:C₄.₉F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	160		(C4xD5).7Q8	320,1046
(C₄xD₅).₈Q₈ = C₂₀:(C₄:C₄)	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	80		(C4xD5).8Q8	320,1050
(C₄xD₅).₉Q₈ = M₄(2):₁F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	40	8	(C4xD5).9Q8	320,1065
(C₄xD₅).₁₀Q₈ = M₄(2).₁F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	80	8	(C4xD5).10Q8	320,1067
(C₄xD₅).₁₁Q₈ = C₄²:₃F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	80	4	(C4xD5).11Q8	320,201
(C₄xD₅).₁₂Q₈ = (C₂xC₈):F₅	φ: Q₈/C₂ → C₂² ⊆ Out C₄xD₅	80	4	(C4xD5).12Q8	320,232
(C₄xD₅).₁₃Q₈ = D₅xC₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).13Q8	320,486
(C₄xD₅).₁₄Q₈ = (C₈xD₅):C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).14Q8	320,487
(C₄xD₅).₁₅Q₈ = D₅xC₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).15Q8	320,506
(C₄xD₅).₁₆Q₈ = C₈.₂₇(C₄xD₅)	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).16Q8	320,507
(C₄xD₅).₁₇Q₈ = D₅xC₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).17Q8	320,1359
(C₄xD₅).₁₈Q₈ = C₂₀:₅M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).18Q8	320,464
(C₄xD₅).₁₉Q₈ = C₄².₃₀D₁₀	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).19Q8	320,466
(C₄xD₅).₂₀Q₈ = C₂₀:₃M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).20Q8	320,1019
(C₄xD₅).₂₁Q₈ = C₄².₁₄F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).21Q8	320,1020
(C₄xD₅).₂₂Q₈ = C₄²:₈F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	80		(C4xD5).22Q8	320,1026
(C₄xD₅).₂₃Q₈ = C₄²:₉F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	80		(C4xD5).23Q8	320,1027
(C₄xD₅).₂₄Q₈ = C₂xC₄₀:C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	80		(C4xD5).24Q8	320,1057
(C₄xD₅).₂₅Q₈ = C₂xD₅.D₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	80		(C4xD5).25Q8	320,1058
(C₄xD₅).₂₆Q₈ = C₂xC₄₀.C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).26Q8	320,1060
(C₄xD₅).₂₇Q₈ = C₂xD₁₀.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).27Q8	320,1061
(C₄xD₅).₂₈Q₈ = C₄²:₆F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	40	4	(C4xD5).28Q8	320,200
(C₄xD₅).₂₉Q₈ = D₁₀.₃M₄(2)	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	80		(C4xD5).29Q8	320,230
(C₄xD₅).₃₀Q₈ = C₄².₁₁F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	160		(C4xD5).30Q8	320,1017
(C₄xD₅).₃₁Q₈ = C₄xC₄:F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	80		(C4xD5).31Q8	320,1025
(C₄xD₅).₃₂Q₈ = (C₂xC₈):₆F₅	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	80	4	(C4xD5).32Q8	320,1059
(C₄xD₅).₃₃Q₈ = (C₈xD₅).C₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄xD₅	80	4	(C4xD5).33Q8	320,1062
(C₄xD₅).₃₄Q₈ = D₅xC₄:C₈	φ: trivial image	160		(C4xD5).34Q8	320,459

Extensions 1→N→G→Q→1 with N=C4xD5 and Q=Q8

Extensions 1→N→G→Q→1 with N=C₄xD₅ and Q=Q₈