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	480,810

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×S₃×D₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊S₃	120	4	D4:S3:1C10	480,789
D₄⋊S₃⋊₂C₁₀ = C₅×D₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊S₃	120	4	D4:S3:2C10	480,790
D₄⋊S₃⋊₃C₁₀ = C₅×Q₈⋊₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊S₃	120	4	D4:S3:3C10	480,793
D₄⋊S₃⋊₄C₁₀ = C₅×Q₈.₇D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊S₃	240	4	D4:S3:4C10	480,795
D₄⋊S₃⋊₅C₁₀ = C₅×D₁₂⋊₆C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊S₃	120	4	D4:S3:5C10	480,811
D₄⋊S₃⋊₆C₁₀ = C₅×D₄⋊D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊S₃	120	4	D4:S3:6C10	480,828
D₄⋊S₃⋊₇C₁₀ = C₅×Q₈.₁₃D₆	φ: trivial image	240	4	D4:S3:7C10	480,829

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