Extensions 1→N→G→Q→1 with N=C₃×D₅ and Q=C₁₀

Direct product G=N×Q with N=C₃×D₅ and Q=C₁₀

		d	ρ	Label	ID
D₅×C₃₀		60	2	D5xC30	300,44

Semidirect products G=N:Q with N=C₃×D₅ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊C₁₀ = C₅×S₃×D₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₅	30	4	(C3xD5):C10	300,37

Non-split extensions G=N.Q with N=C₃×D₅ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅).₁C₁₀ = C₅×C₃⋊F₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5).1C10	300,32
(C₃×D₅).₂C₁₀ = C₁₅×F₅	φ: C₁₀/C₅ → C₂ ⊆ Out C₃×D₅	60	4	(C3xD5).2C10	300,28

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3×D5 and Q=C10