Extensions 1→N→G→Q→1 with N=C₂²×D₅ and Q=C₂

Direct product G=N×Q with N=C₂²×D₅ and Q=C₂

		d	ρ	Label	ID
C₂³×D₅		40		C2^3xD5	80,51

Semidirect products G=N:Q with N=C₂²×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅)⋊₁C₂ = C₂×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₅	40		(C2^2xD5):1C2	80,37
(C₂²×D₅)⋊₂C₂ = D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₅	20	4+	(C2^2xD5):2C2	80,39
(C₂²×D₅)⋊₃C₂ = C₂×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₅	40		(C2^2xD5):3C2	80,44

Non-split extensions G=N.Q with N=C₂²×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅).₁C₂ = D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₅	40		(C2^2xD5).1C2	80,14
(C₂²×D₅).₂C₂ = C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₅	20	4+	(C2^2xD5).2C2	80,34
(C₂²×D₅).₃C₂ = C₂²×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×D₅	20		(C2^2xD5).3C2	80,50
(C₂²×D₅).₄C₂ = C₂×C₄×D₅	φ: trivial image	40		(C2^2xD5).4C2	80,36

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁