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

Direct product G=N×Q with N=D₄.S₃ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×D₄.S₃		240		C10xD4.S3	480,812

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.S₃⋊₁C₁₀ = C₅×D₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out D₄.S₃	120	4	D4.S3:1C10	480,790
D₄.S₃⋊₂C₁₀ = C₅×D₈⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out D₄.S₃	240	4	D4.S3:2C10	480,791
D₄.S₃⋊₃C₁₀ = C₅×S₃×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄.S₃	120	4	D4.S3:3C10	480,792
D₄.S₃⋊₄C₁₀ = C₅×D₄.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄.S₃	240	4	D4.S3:4C10	480,794
D₄.S₃⋊₅C₁₀ = C₅×D₁₂⋊₆C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out D₄.S₃	120	4	D4.S3:5C10	480,811
D₄.S₃⋊₆C₁₀ = C₅×Q₈.₁₄D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄.S₃	240	4	D4.S3:6C10	480,830
D₄.S₃⋊₇C₁₀ = C₅×Q₈.₁₃D₆	φ: trivial image	240	4	D4.S3:7C10	480,829

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