Extensions 1→N→G→Q→1 with N=D₆ and Q=C₁₀

Direct product G=N×Q with N=D₆ and Q=C₁₀

		d	ρ	Label	ID
S₃×C₂×C₁₀		60		S3xC2xC10	120,45

Semidirect products G=N:Q with N=D₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁C₁₀ = C₅×D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out D₆	60	2	D6:1C10	120,23
D₆⋊₂C₁₀ = C₅×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₆	60	2	D6:2C10	120,25

Non-split extensions G=N.Q with N=D₆ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.C₁₀ = S₃×C₂₀	φ: trivial image	60	2	D6.C10	120,22

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Extensions 1→N→G→Q→1 with N=D6 and Q=C10