Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₁₂

Direct product G=N×Q with N=D₁₀ and Q=C₁₂

		d	ρ	Label	ID
D₅×C₂×C₁₂		120		D5xC2xC12	240,156

Semidirect products G=N:Q with N=D₁₀ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁C₁₂ = C₃×D₁₀⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₀	120		D10:1C12	240,43
D₁₀⋊₂C₁₂ = C₃×C₂²⋊F₅	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₀	60	4	D10:2C12	240,117
D₁₀⋊₃C₁₂ = C₂×C₆×F₅	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₀	60		D10:3C12	240,200

Non-split extensions G=N.Q with N=D₁₀ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁C₁₂ = C₃×C₈⋊D₅	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₀	120	2	D10.1C12	240,34
D₁₀.₂C₁₂ = C₃×D₅⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₀	120	4	D10.2C12	240,111
D₁₀.₃C₁₂ = C₃×C₄.F₅	φ: C₁₂/C₆ → C₂ ⊆ Out D₁₀	120	4	D10.3C12	240,112
D₁₀.₄C₁₂ = D₅×C₂₄	φ: trivial image	120	2	D10.4C12	240,33

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