Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂₀

Direct product G=N×Q with N=D₆ and Q=C₂₀

		d	ρ	Label	ID
S₃×C₂×C₂₀		120		S3xC2xC20	240,166

Semidirect products G=N:Q with N=D₆ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊C₂₀ = C₅×D₆⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₆	120		D6:C20	240,59

Non-split extensions G=N.Q with N=D₆ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.C₂₀ = C₅×C₈⋊S₃	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₆	120	2	D6.C20	240,50
D₆.₂C₂₀ = S₃×C₄₀	φ: trivial image	120	2	D6.2C20	240,49

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Extensions 1→N→G→Q→1 with N=D6 and Q=C20