Extensions 1→N→G→Q→1 with N=C₈xD₅ and Q=C₄

Direct product G=NxQ with N=C₈xD₅ and Q=C₄

		d	ρ	Label	ID
D₅xC₄xC₈		160		D5xC4xC8	320,311

Semidirect products G=N:Q with N=C₈xD₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈xD₅):₁C₄ = D₅xC₂.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5):1C4	320,506
(C₈xD₅):₂C₄ = C₈.₂₇(C₄xD₅)	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5):2C4	320,507
(C₈xD₅):₃C₄ = D₅xC₄.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5):3C4	320,486
(C₈xD₅):₄C₄ = (C₈xD₅):C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5):4C4	320,487
(C₈xD₅):₅C₄ = D₁₀.₅C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5):5C4	320,316
(C₈xD₅):₆C₄ = C₂xD₅.D₈	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	80		(C8xD5):6C4	320,1058
(C₈xD₅):₇C₄ = (C₂xC₈):₆F₅	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	80	4	(C8xD5):7C4	320,1059
(C₈xD₅):₈C₄ = C₂xC₄₀:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	80		(C8xD5):8C4	320,1057
(C₈xD₅):₉C₄ = D₅xC₈:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5):9C4	320,331
(C₈xD₅):₁₀C₄ = D₁₀.₇C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5):10C4	320,335
(C₈xD₅):₁₁C₄ = C₂xC₈xF₅	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	80		(C8xD5):11C4	320,1054
(C₈xD₅):₁₂C₄ = C₂xC₈:F₅	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	80		(C8xD5):12C4	320,1055
(C₈xD₅):₁₃C₄ = C₂₀.₁₂C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	80	4	(C8xD5):13C4	320,1056

Non-split extensions G=N.Q with N=C₈xD₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₈xD₅).₁C₄ = D₅xC₈.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	80	4	(C8xD5).1C4	320,519
(C₈xD₅).₂C₄ = C₃₂:D₅	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160	2	(C8xD5).2C4	320,5
(C₈xD₅).₃C₄ = C₂xC₈₀:C₂	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5).3C4	320,527
(C₈xD₅).₄C₄ = C₂xD₁₀.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5).4C4	320,1061
(C₈xD₅).₅C₄ = C₂xC₄₀.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5).5C4	320,1060
(C₈xD₅).₆C₄ = (C₈xD₅).C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	80	4	(C8xD5).6C4	320,1062
(C₈xD₅).₇C₄ = D₅:C₃₂	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160	4	(C8xD5).7C4	320,179
(C₈xD₅).₈C₄ = C₈₀.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160	4	(C8xD5).8C4	320,180
(C₈xD₅).₉C₄ = D₅xM₅(2)	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	80	4	(C8xD5).9C4	320,533
(C₈xD₅).₁₀C₄ = C₂xD₅:C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5).10C4	320,1051
(C₈xD₅).₁₁C₄ = C₂xC₈.F₅	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	160		(C8xD5).11C4	320,1052
(C₈xD₅).₁₂C₄ = D₅:M₅(2)	φ: C₄/C₂ → C₂ ⊆ Out C₈xD₅	80	4	(C8xD5).12C4	320,1053
(C₈xD₅).₁₃C₄ = D₅xC₃₂	φ: trivial image	160	2	(C8xD5).13C4	320,4
(C₈xD₅).₁₄C₄ = D₅xC₂xC₁₆	φ: trivial image	160		(C8xD5).14C4	320,526

׿

x

:

Z

F

o

wr

Q

<