Extensions 1→N→G→Q→1 with N=C₂³×D₅ and Q=C₂

Direct product G=N×Q with N=C₂³×D₅ and Q=C₂

		d	ρ	Label	ID
D₅×C₂⁴		80		D5xC2^4	160,237

Semidirect products G=N:Q with N=C₂³×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₅)⋊₁C₂ = C₂²⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₅	40		(C2^3xD5):1C2	160,103
(C₂³×D₅)⋊₂C₂ = C₂³⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₅	40		(C2^3xD5):2C2	160,158
(C₂³×D₅)⋊₃C₂ = C₂²×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5):3C2	160,215
(C₂³×D₅)⋊₄C₂ = C₂×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₅	40		(C2^3xD5):4C2	160,217
(C₂³×D₅)⋊₅C₂ = C₂²×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5):5C2	160,227

Non-split extensions G=N.Q with N=C₂³×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₅).₁C₂ = D₅×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₅	40		(C2^3xD5).1C2	160,101
(C₂³×D₅).₂C₂ = C₂×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₅	80		(C2^3xD5).2C2	160,148
(C₂³×D₅).₃C₂ = C₂×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₅	40		(C2^3xD5).3C2	160,212
(C₂³×D₅).₄C₂ = C₂³×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₅	40		(C2^3xD5).4C2	160,236
(C₂³×D₅).₅C₂ = D₅×C₂²×C₄	φ: trivial image	80		(C2^3xD5).5C2	160,214

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁