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

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

		d	ρ	Label	ID
S₃×D₄×C₁₀		120		S3xD4xC10	480,1154

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×D₄)⋊₁C₁₀ = C₅×S₃×D₈	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×D₄	120	4	(S3xD4):1C10	480,789
(S₃×D₄)⋊₂C₁₀ = C₅×D₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×D₄	120	4	(S3xD4):2C10	480,790
(S₃×D₄)⋊₃C₁₀ = C₅×Q₈⋊₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×D₄	120	4	(S3xD4):3C10	480,793
(S₃×D₄)⋊₄C₁₀ = C₅×D₄⋊₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×D₄	120	4	(S3xD4):4C10	480,1156
(S₃×D₄)⋊₅C₁₀ = C₅×D₄○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×D₄	120	4	(S3xD4):5C10	480,1161
(S₃×D₄)⋊₆C₁₀ = C₅×S₃×C₄○D₄	φ: trivial image	120	4	(S3xD4):6C10	480,1160

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

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×D₄).C₁₀ = C₅×S₃×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out S₃×D₄	120	4	(S3xD4).C10	480,792

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