Extensions 1→N→G→Q→1 with N=S₃×C₂³ and Q=D₅

Direct product G=N×Q with N=S₃×C₂³ and Q=D₅

		d	ρ	Label	ID
S₃×C₂³×D₅		120		S3xC2^3xD5	480,1207

Semidirect products G=N:Q with N=S₃×C₂³ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂³)⋊₁D₅ = C₁₅⋊C₂²≀C₂	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₂³	120		(S3xC2^3):1D5	480,644
(S₃×C₂³)⋊₂D₅ = (C₂×C₁₀)⋊₁₁D₁₂	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₂³	120		(S3xC2^3):2D5	480,646
(S₃×C₂³)⋊₃D₅ = C₂²×C₁₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₂³	240		(S3xC2^3):3D5	480,1118
(S₃×C₂³)⋊₄D₅ = C₂²×C₅⋊D₁₂	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₂³	240		(S3xC2^3):4D5	480,1120
(S₃×C₂³)⋊₅D₅ = C₂×S₃×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₂³	120		(S3xC2^3):5D5	480,1123

Non-split extensions G=N.Q with N=S₃×C₂³ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂³).₁D₅ = C₂×D₆⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₂³	240		(S3xC2^3).1D5	480,614
(S₃×C₂³).₂D₅ = S₃×C₂³.D₅	φ: D₅/C₅ → C₂ ⊆ Out S₃×C₂³	120		(S3xC2^3).2D5	480,630
(S₃×C₂³).₃D₅ = C₂²×S₃×Dic₅	φ: trivial image	240		(S3xC2^3).3D5	480,1115

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