Extensions 1→N→G→Q→1 with N=D₁₂ and Q=F₅

Direct product G=N×Q with N=D₁₂ and Q=F₅

		d	ρ	Label	ID
F₅×D₁₂		60	8+	F5xD12	480,995

Semidirect products G=N:Q with N=D₁₂ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁F₅ = D₁₂⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out D₁₂	120	8+	D12:1F5	480,228
D₁₂⋊₂F₅ = D₁₂⋊₂F₅	φ: F₅/D₅ → C₂ ⊆ Out D₁₂	120	8-	D12:2F5	480,232
D₁₂⋊₃F₅ = D₆₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Out D₁₂	120	8+	D12:3F5	480,227
D₁₂⋊₄F₅ = D₁₂⋊₄F₅	φ: F₅/D₅ → C₂ ⊆ Out D₁₂	120	8-	D12:4F5	480,231
D₁₂⋊₅F₅ = D₆₀⋊₃C₄	φ: F₅/D₅ → C₂ ⊆ Out D₁₂	60	8+	D12:5F5	480,997

Non-split extensions G=N.Q with N=D₁₂ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.F₅ = D₁₂.F₅	φ: F₅/D₅ → C₂ ⊆ Out D₁₂	240	8-	D12.F5	480,989
D₁₂.₂F₅ = D₁₂.₂F₅	φ: trivial image	240	8-	D12.2F5	480,987

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁