Extensions 1→N→G→Q→1 with N=S₃xD₂₀ and Q=C₂

Direct product G=NxQ with N=S₃xD₂₀ and Q=C₂

		d	ρ	Label	ID
C₂xS₃xD₂₀		120		C2xS3xD20	480,1088

Semidirect products G=N:Q with N=S₃xD₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xD₂₀):₁C₂ = S₃xD₄:D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	8+	(S3xD20):1C2	480,555
(S₃xD₂₀):₂C₂ = D₆₀.C₂²	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	8+	(S3xD20):2C2	480,556
(S₃xD₂₀):₃C₂ = D₁₂:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	8+	(S3xD20):3C2	480,580
(S₃xD₂₀):₄C₂ = S₃xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	60	8+	(S3xD20):4C2	480,1097
(S₃xD₂₀):₅C₂ = D₂₀:₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	8+	(S3xD20):5C2	480,1102
(S₃xD₂₀):₆C₂ = S₃xQ₈:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	8+	(S3xD20):6C2	480,1109
(S₃xD₂₀):₇C₂ = D₂₀:₁₇D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	8+	(S3xD20):7C2	480,1111
(S₃xD₂₀):₈C₂ = S₃xD₄₀	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	4+	(S3xD20):8C2	480,328
(S₃xD₂₀):₉C₂ = C₄₀:₁D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	4+	(S3xD20):9C2	480,329
(S₃xD₂₀):₁₀C₂ = D₄₀:S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	4	(S3xD20):10C2	480,330
(S₃xD₂₀):₁₁C₂ = D₂₀:₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	4	(S3xD20):11C2	480,1093
(S₃xD₂₀):₁₂C₂ = D₂₀:₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	4+	(S3xD20):12C2	480,1095
(S₃xD₂₀):₁₃C₂ = S₃xC₄oD₂₀	φ: trivial image	120	4	(S3xD20):13C2	480,1091

Non-split extensions G=N.Q with N=S₃xD₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xD₂₀).₁C₂ = S₃xQ₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	8+	(S3xD20).1C2	480,579
(S₃xD₂₀).₂C₂ = S₃xC₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃xD₂₀	120	4	(S3xD20).2C2	480,327

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