Extensions 1→N→G→Q→1 with N=C₂xA₄ and Q=D₁₀

Direct product G=NxQ with N=C₂xA₄ and Q=D₁₀

		d	ρ	Label	ID
C₂²xD₅xA₄		60		C2^2xD5xA4	480,1202

Semidirect products G=N:Q with N=C₂xA₄ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xA₄):₁D₁₀ = C₂xD₅xS₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂xA₄	30	6+	(C2xA4):1D10	480,1193
(C₂xA₄):₂D₁₀ = C₂²xC₅:S₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	60		(C2xA4):2D10	480,1199

Non-split extensions G=N.Q with N=C₂xA₄ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xA₄).₁D₁₀ = A₄:Dic₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂xA₄	120	6-	(C2xA4).1D10	480,975
(C₂xA₄).₂D₁₀ = Dic₅xS₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂xA₄	60	6-	(C2xA4).2D10	480,976
(C₂xA₄).₃D₁₀ = Dic₅:₂S₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂xA₄	60	6	(C2xA4).3D10	480,977
(C₂xA₄).₄D₁₀ = Dic₅:S₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂xA₄	60	6	(C2xA4).4D10	480,978
(C₂xA₄).₅D₁₀ = D₅xA₄:C₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂xA₄	60	6	(C2xA4).5D10	480,979
(C₂xA₄).₆D₁₀ = D₁₀:S₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₂xA₄	60	6	(C2xA4).6D10	480,980
(C₂xA₄).₇D₁₀ = A₄:D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₂xA₄	60	6+	(C2xA4).7D10	480,981
(C₂xA₄).₈D₁₀ = C₂₀.₁S₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	120	6-	(C2xA4).8D10	480,1024
(C₂xA₄).₉D₁₀ = C₄xC₅:S₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	60	6	(C2xA4).9D10	480,1025
(C₂xA₄).₁₀D₁₀ = C₂₀:S₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	60	6+	(C2xA4).10D10	480,1026
(C₂xA₄).₁₁D₁₀ = C₂xA₄:Dic₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	120		(C2xA4).11D10	480,1033
(C₂xA₄).₁₂D₁₀ = C₂⁴:₂D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₂xA₄	60	6	(C2xA4).12D10	480,1034
(C₂xA₄).₁₃D₁₀ = A₄xDic₁₀	φ: trivial image	120	6-	(C2xA4).13D10	480,1035
(C₂xA₄).₁₄D₁₀ = C₄xD₅xA₄	φ: trivial image	60	6	(C2xA4).14D10	480,1036
(C₂xA₄).₁₅D₁₀ = A₄xD₂₀	φ: trivial image	60	6+	(C2xA4).15D10	480,1037
(C₂xA₄).₁₆D₁₀ = C₂xA₄xDic₅	φ: trivial image	120		(C2xA4).16D10	480,1044
(C₂xA₄).₁₇D₁₀ = A₄xC₅:D₄	φ: trivial image	60	6	(C2xA4).17D10	480,1045

׿

x

:

Z

F

o

wr

Q

<