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

Direct product G=N×Q with N=D₄⋊₂S₃ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×D₄⋊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 = C₅×D₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊₂S₃	120	4	D4:2S3:1C10	480,790
D₄⋊₂S₃⋊₂C₁₀ = C₅×D₈⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊₂S₃	240	4	D4:2S3:2C10	480,791
D₄⋊₂S₃⋊₃C₁₀ = C₅×Q₈.₇D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊₂S₃	240	4	D4:2S3:3C10	480,795
D₄⋊₂S₃⋊₄C₁₀ = C₅×D₄⋊₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊₂S₃	120	4	D4:2S3:4C10	480,1156
D₄⋊₂S₃⋊₅C₁₀ = C₅×Q₈○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊₂S₃	240	4	D4:2S3:5C10	480,1162
D₄⋊₂S₃⋊₆C₁₀ = C₅×S₃×C₄○D₄	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 = C₅×D₄.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊₂S₃	240	4	D4:2S3.C10	480,794

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