Extensions 1→N→G→Q→1 with N=S₃×C₂³ and Q=C₁₀

Direct product G=N×Q with N=S₃×C₂³ and Q=C₁₀

		d	ρ	Label	ID
S₃×C₂³×C₁₀		240		S3xC2^3xC10	480,1211

Semidirect products G=N:Q with N=S₃×C₂³ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂³)⋊₁C₁₀ = C₅×D₆⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₂³	120		(S3xC2^3):1C10	480,761
(S₃×C₂³)⋊₂C₁₀ = C₅×C₂³⋊₂D₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₂³	120		(S3xC2^3):2C10	480,816
(S₃×C₂³)⋊₃C₁₀ = C₂×C₁₀×D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₂³	240		(S3xC2^3):3C10	480,1152
(S₃×C₂³)⋊₄C₁₀ = S₃×D₄×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₂³	120		(S3xC2^3):4C10	480,1154
(S₃×C₂³)⋊₅C₁₀ = C₂×C₁₀×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₂³	240		(S3xC2^3):5C10	480,1164

Non-split extensions G=N.Q with N=S₃×C₂³ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂³).₁C₁₀ = C₅×S₃×C₂²⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₂³	120		(S3xC2^3).1C10	480,759
(S₃×C₂³).₂C₁₀ = C₁₀×D₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×C₂³	240		(S3xC2^3).2C10	480,806
(S₃×C₂³).₃C₁₀ = S₃×C₂²×C₂₀	φ: trivial image	240		(S3xC2^3).3C10	480,1151

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