Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂×C₁₀

Direct product G=N×Q with N=D₆ and Q=C₂×C₁₀

		d	ρ	Label	ID
S₃×C₂²×C₁₀		120		S3xC2^2xC10	240,206

Semidirect products G=N:Q with N=D₆ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₂×C₁₀) = C₁₀×D₁₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₆	120		D6:1(C2xC10)	240,167
D₆⋊₂(C₂×C₁₀) = C₅×S₃×D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₆	60	4	D6:2(C2xC10)	240,169
D₆⋊₃(C₂×C₁₀) = C₁₀×C₃⋊D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₆	120		D6:3(C2xC10)	240,174

Non-split extensions G=N.Q with N=D₆ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂×C₁₀) = C₅×C₄○D₁₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₆	120	2	D6.1(C2xC10)	240,168
D₆.₂(C₂×C₁₀) = C₅×D₄⋊₂S₃	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₆	120	4	D6.2(C2xC10)	240,170
D₆.₃(C₂×C₁₀) = C₅×Q₈⋊₃S₃	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₆	120	4	D6.3(C2xC10)	240,172
D₆.₄(C₂×C₁₀) = S₃×C₂×C₂₀	φ: trivial image	120		D6.4(C2xC10)	240,166
D₆.₅(C₂×C₁₀) = C₅×S₃×Q₈	φ: trivial image	120	4	D6.5(C2xC10)	240,171

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