Extensions 1→N→G→Q→1 with N=D₄:₂S₃ and Q=C₁₀

Direct product G=NxQ with N=D₄:₂S₃ and Q=C₁₀

		d	ρ	Label	ID
C₁₀xD₄:₂S₃		240		C10xD4:2S3	480,1155

Semidirect products G=N:Q with N=D₄:₂S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₂S₃:₁C₁₀ = C₅xD₈:S₃	φ: C₁₀/C₅ → C₂ ⊆ Out D₄:₂S₃	120	4	D4:2S3:1C10	480,790
D₄:₂S₃:₂C₁₀ = C₅xD₈:₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out D₄:₂S₃	240	4	D4:2S3:2C10	480,791
D₄:₂S₃:₃C₁₀ = C₅xQ₈.₇D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄:₂S₃	240	4	D4:2S3:3C10	480,795
D₄:₂S₃:₄C₁₀ = C₅xD₄:₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄:₂S₃	120	4	D4:2S3:4C10	480,1156
D₄:₂S₃:₅C₁₀ = C₅xQ₈oD₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out D₄:₂S₃	240	4	D4:2S3:5C10	480,1162
D₄:₂S₃:₆C₁₀ = C₅xS₃xC₄oD₄	φ: trivial image	120	4	D4:2S3:6C10	480,1160

Non-split extensions G=N.Q with N=D₄:₂S₃ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₂S₃.C₁₀ = C₅xD₄.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄:₂S₃	240	4	D4:2S3.C10	480,794

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