Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=C₁₀

Direct product G=N×Q with N=C₂²×S₃ and Q=C₁₀

		d	ρ	Label	ID
S₃×C₂²×C₁₀		120		S3xC2^2xC10	240,206

Semidirect products G=N:Q with N=C₂²×S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊₁C₁₀ = C₁₀×D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×S₃	120		(C2^2xS3):1C10	240,167
(C₂²×S₃)⋊₂C₁₀ = C₅×S₃×D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×S₃	60	4	(C2^2xS3):2C10	240,169
(C₂²×S₃)⋊₃C₁₀ = C₁₀×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×S₃	120		(C2^2xS3):3C10	240,174

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).C₁₀ = C₅×D₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²×S₃	120		(C2^2xS3).C10	240,59
(C₂²×S₃).₂C₁₀ = S₃×C₂×C₂₀	φ: trivial image	120		(C2^2xS3).2C10	240,166

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22×S3 and Q=C10