Extensions 1→N→G→Q→1 with N=C₂xQ₈ and Q=Dic₅

Direct product G=NxQ with N=C₂xQ₈ and Q=Dic₅

		d	ρ	Label	ID
C₂xQ₈xDic₅		320		C2xQ8xDic5	320,1483

Semidirect products G=N:Q with N=C₂xQ₈ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xQ₈):₁Dic₅ = C₁₀.₂₉C₄wrC₂	φ: Dic₅/C₅ → C₄ ⊆ Out C₂xQ₈	80		(C2xQ8):1Dic5	320,96
(C₂xQ₈):₂Dic₅ = C₄²:Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂xQ₈	80	4	(C2xQ8):2Dic5	320,99
(C₂xQ₈):₃Dic₅ = C₂xQ₈:Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	320		(C2xQ8):3Dic5	320,851
(C₂xQ₈):₄Dic₅ = (Q₈xC₁₀):₁₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	160		(C2xQ8):4Dic5	320,852
(C₂xQ₈):₅Dic₅ = (Q₈xC₁₀):₁₇C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	320		(C2xQ8):5Dic5	320,857
(C₂xQ₈):₆Dic₅ = C₂xD₄:₂Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	80		(C2xQ8):6Dic5	320,862
(C₂xQ₈):₇Dic₅ = (D₄xC₁₀):₂₁C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	80	4	(C2xQ8):7Dic5	320,863
(C₂xQ₈):₈Dic₅ = (D₄xC₁₀):₂₂C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	80	4	(C2xQ8):8Dic5	320,867
(C₂xQ₈):₉Dic₅ = C₁₀.₄₂2_-¹⁺⁴	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	160		(C2xQ8):9Dic5	320,1484

Non-split extensions G=N.Q with N=C₂xQ₈ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xQ₈).₁Dic₅ = C₄².₇D₁₀	φ: Dic₅/C₅ → C₄ ⊆ Out C₂xQ₈	160		(C2xQ8).1Dic5	320,98
(C₂xQ₈).₂Dic₅ = C₂₀.₅Q₁₆	φ: Dic₅/C₅ → C₄ ⊆ Out C₂xQ₈	320		(C2xQ8).2Dic5	320,104
(C₂xQ₈).₃Dic₅ = C₄².₃Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Out C₂xQ₈	80	4	(C2xQ8).3Dic5	320,106
(C₂xQ₈).₄Dic₅ = C₂₀.₂₆Q₁₆	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	320		(C2xQ8).4Dic5	320,93
(C₂xQ₈).₅Dic₅ = C₄².₂₁₀D₁₀	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	320		(C2xQ8).5Dic5	320,651
(C₂xQ₈).₆Dic₅ = C₂xC₂₀.₁₀D₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	160		(C2xQ8).6Dic5	320,853
(C₂xQ₈).₇Dic₅ = (D₄xC₁₀).₂₄C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	160		(C2xQ8).7Dic5	320,861
(C₂xQ₈).₈Dic₅ = C₂₀.₇₆C₂⁴	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂xQ₈	80	4	(C2xQ8).8Dic5	320,1491
(C₂xQ₈).₉Dic₅ = Q₈xC₅:₂C₈	φ: trivial image	320		(C2xQ8).9Dic5	320,650
(C₂xQ₈).₁₀Dic₅ = C₂xD₄.Dic₅	φ: trivial image	160		(C2xQ8).10Dic5	320,1490

׿

x

:

Z

F

o

wr

Q

<