Extensions 1→N→G→Q→1 with N=S₃xC₂³ and Q=D₅

Direct product G=NxQ with N=S₃xC₂³ and Q=D₅

		d	ρ	Label	ID
S₃xC₂³xD₅		120		S3xC2^3xD5	480,1207

Semidirect products G=N:Q with N=S₃xC₂³ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂³):₁D₅ = C₁₅:C₂²wrC₂	φ: D₅/C₅ → C₂ ⊆ Out S₃xC₂³	120		(S3xC2^3):1D5	480,644
(S₃xC₂³):₂D₅ = (C₂xC₁₀):₁₁D₁₂	φ: D₅/C₅ → C₂ ⊆ Out S₃xC₂³	120		(S3xC2^3):2D5	480,646
(S₃xC₂³):₃D₅ = C₂²xC₁₅:D₄	φ: D₅/C₅ → C₂ ⊆ Out S₃xC₂³	240		(S3xC2^3):3D5	480,1118
(S₃xC₂³):₄D₅ = C₂²xC₅:D₁₂	φ: D₅/C₅ → C₂ ⊆ Out S₃xC₂³	240		(S3xC2^3):4D5	480,1120
(S₃xC₂³):₅D₅ = C₂xS₃xC₅:D₄	φ: D₅/C₅ → C₂ ⊆ Out S₃xC₂³	120		(S3xC2^3):5D5	480,1123

Non-split extensions G=N.Q with N=S₃xC₂³ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂³).₁D₅ = C₂xD₆:Dic₅	φ: D₅/C₅ → C₂ ⊆ Out S₃xC₂³	240		(S3xC2^3).1D5	480,614
(S₃xC₂³).₂D₅ = S₃xC₂³.D₅	φ: D₅/C₅ → C₂ ⊆ Out S₃xC₂³	120		(S3xC2^3).2D5	480,630
(S₃xC₂³).₃D₅ = C₂²xS₃xDic₅	φ: trivial image	240		(S3xC2^3).3D5	480,1115

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