Extensions 1→N→G→Q→1 with N=D₈ and Q=C₃₀

Direct product G=N×Q with N=D₈ and Q=C₃₀

		d	ρ	Label	ID
D₈×C₃₀		240		D8xC30	480,937

Semidirect products G=N:Q with N=D₈ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁C₃₀ = C₁₅×D₁₆	φ: C₃₀/C₁₅ → C₂ ⊆ Out D₈	240	2	D8:1C30	480,214
D₈⋊₂C₃₀ = C₁₅×C₈⋊C₂²	φ: C₃₀/C₁₅ → C₂ ⊆ Out D₈	120	4	D8:2C30	480,941
D₈⋊₃C₃₀ = C₁₅×C₄○D₈	φ: trivial image	240	2	D8:3C30	480,940

Non-split extensions G=N.Q with N=D₈ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.C₃₀ = C₁₅×SD₃₂	φ: C₃₀/C₁₅ → C₂ ⊆ Out D₈	240	2	D8.C30	480,215

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D8 and Q=C30