Extensions 1→N→G→Q→1 with N=S₃xC₂xC₄ and Q=C₁₀

Direct product G=NxQ with N=S₃xC₂xC₄ and Q=C₁₀

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

Semidirect products G=N:Q with N=S₃xC₂xC₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₄):₁C₁₀ = C₅xC₁₂:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):1C10	480,774
(S₃xC₂xC₄):₂C₁₀ = C₅xD₆:₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):2C10	480,817
(S₃xC₂xC₄):₃C₁₀ = S₃xD₄xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	120		(S3xC2xC4):3C10	480,1154
(S₃xC₂xC₄):₄C₁₀ = C₁₀xD₄:₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):4C10	480,1155
(S₃xC₂xC₄):₅C₁₀ = C₁₀xQ₈:₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):5C10	480,1158
(S₃xC₂xC₄):₆C₁₀ = C₅xS₃xC₄oD₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	120	4	(S3xC2xC4):6C10	480,1160
(S₃xC₂xC₄):₇C₁₀ = C₂₀xD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):7C10	480,752
(S₃xC₂xC₄):₈C₁₀ = C₅xS₃xC₂²:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	120		(S3xC2xC4):8C10	480,759
(S₃xC₂xC₄):₉C₁₀ = C₅xDic₃:₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):9C10	480,760
(S₃xC₂xC₄):₁₀C₁₀ = C₅xC₂³.₉D₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):10C10	480,762
(S₃xC₂xC₄):₁₁C₁₀ = C₅xDic₃:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):11C10	480,763
(S₃xC₂xC₄):₁₂C₁₀ = C₅xDic₃:₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):12C10	480,772
(S₃xC₂xC₄):₁₃C₁₀ = C₅xD₆.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):13C10	480,773
(S₃xC₂xC₄):₁₄C₁₀ = C₂₀xC₃:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):14C10	480,807
(S₃xC₂xC₄):₁₅C₁₀ = C₁₀xC₄oD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4):15C10	480,1153

Non-split extensions G=N.Q with N=S₃xC₂xC₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₂xC₄).₁C₁₀ = C₅xS₃xC₄:C₄	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4).1C10	480,770
(S₃xC₂xC₄).₂C₁₀ = C₅xC₄:C₄:₇S₃	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4).2C10	480,771
(S₃xC₂xC₄).₃C₁₀ = C₅xC₄.D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4).3C10	480,776
(S₃xC₂xC₄).₄C₁₀ = C₅xS₃xM₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	120	4	(S3xC2xC4).4C10	480,785
(S₃xC₂xC₄).₅C₁₀ = C₅xD₆:₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4).5C10	480,825
(S₃xC₂xC₄).₆C₁₀ = S₃xQ₈xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4).6C10	480,1157
(S₃xC₂xC₄).₇C₁₀ = C₅xD₆:C₈	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4).7C10	480,139
(S₃xC₂xC₄).₈C₁₀ = C₅xC₄²:₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4).8C10	480,751
(S₃xC₂xC₄).₉C₁₀ = C₅xD₆:Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4).9C10	480,775
(S₃xC₂xC₄).₁₀C₁₀ = C₁₀xC₈:S₃	φ: C₁₀/C₅ → C₂ ⊆ Out S₃xC₂xC₄	240		(S3xC2xC4).10C10	480,779
(S₃xC₂xC₄).₁₁C₁₀ = S₃xC₄xC₂₀	φ: trivial image	240		(S3xC2xC4).11C10	480,750
(S₃xC₂xC₄).₁₂C₁₀ = S₃xC₂xC₄₀	φ: trivial image	240		(S3xC2xC4).12C10	480,778

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