Extensions 1→N→G→Q→1 with N=S₃xC₂xC₁₀ and Q=C₄

Direct product G=NxQ with N=S₃xC₂xC₁₀ and Q=C₄

		d	ρ	Label	ID
S₃xC₂²xC₂₀		240		S3xC2^2xC20	480,1151

Semidirect products G=N:Q with N=S₃xC₂xC₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₁₀):₁C₄ = C₁₅:₈(C₂³:C₄)	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	120	4	(S3xC2xC10):1C4	480,72
(S₃xC₂xC₁₀):₂C₄ = D₁₀.D₁₂	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	120	8-	(S3xC2xC10):2C4	480,248
(S₃xC₂xC₁₀):₃C₄ = C₂xD₆:F₅	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	120		(S3xC2xC10):3C4	480,1000
(S₃xC₂xC₁₀):₄C₄ = S₃xC₂²:F₅	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	60	8+	(S3xC2xC10):4C4	480,1011
(S₃xC₂xC₁₀):₅C₄ = C₂²xS₃xF₅	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	60		(S3xC2xC10):5C4	480,1197
(S₃xC₂xC₁₀):₆C₄ = C₅xC₂³.₆D₆	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	120	4	(S3xC2xC10):6C4	480,125
(S₃xC₂xC₁₀):₇C₄ = C₂xD₆:Dic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10):7C4	480,614
(S₃xC₂xC₁₀):₈C₄ = S₃xC₂³.D₅	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	120		(S3xC2xC10):8C4	480,630
(S₃xC₂xC₁₀):₉C₄ = C₂²xS₃xDic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10):9C4	480,1115
(S₃xC₂xC₁₀):₁₀C₄ = C₅xS₃xC₂²:C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	120		(S3xC2xC10):10C4	480,759
(S₃xC₂xC₁₀):₁₁C₄ = C₁₀xD₆:C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10):11C4	480,806

Non-split extensions G=N.Q with N=S₃xC₂xC₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₁₀).₁C₄ = C₂₀.₅D₁₂	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	120	4	(S3xC2xC10).1C4	480,35
(S₃xC₂xC₁₀).₂C₄ = Dic₅.₂₂D₁₂	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10).2C4	480,246
(S₃xC₂xC₁₀).₃C₄ = Dic₅.D₁₂	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	120	8+	(S3xC2xC10).3C4	480,250
(S₃xC₂xC₁₀).₄C₄ = C₂xS₃xC₅:C₈	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10).4C4	480,1002
(S₃xC₂xC₁₀).₅C₄ = S₃xC₂².F₅	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	120	8-	(S3xC2xC10).5C4	480,1004
(S₃xC₂xC₁₀).₆C₄ = C₂xD₆.F₅	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10).6C4	480,1008
(S₃xC₂xC₁₀).₇C₄ = C₅xC₁₂.₄₆D₄	φ: C₄/C₁ → C₄ ⊆ Out S₃xC₂xC₁₀	120	4	(S3xC2xC10).7C4	480,142
(S₃xC₂xC₁₀).₈C₄ = C₆₀.₉₄D₄	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10).8C4	480,32
(S₃xC₂xC₁₀).₉C₄ = C₂xS₃xC₅:₂C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10).9C4	480,361
(S₃xC₂xC₁₀).₁₀C₄ = S₃xC₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	120	4	(S3xC2xC10).10C4	480,363
(S₃xC₂xC₁₀).₁₁C₄ = C₂xD₆.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10).11C4	480,370
(S₃xC₂xC₁₀).₁₂C₄ = C₅xD₆:C₈	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10).12C4	480,139
(S₃xC₂xC₁₀).₁₃C₄ = C₁₀xC₈:S₃	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	240		(S3xC2xC10).13C4	480,779
(S₃xC₂xC₁₀).₁₄C₄ = C₅xS₃xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Out S₃xC₂xC₁₀	120	4	(S3xC2xC10).14C4	480,785
(S₃xC₂xC₁₀).₁₅C₄ = S₃xC₂xC₄₀	φ: trivial image	240		(S3xC2xC10).15C4	480,778

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