Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₁₀

Direct product G=N×Q with N=C₂×C₆ and Q=C₁₀

		d	ρ	Label	ID
C₂²×C₃₀		120		C2^2xC30	120,47

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁C₁₀ = D₄×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₆	60	2	(C2xC6):1C10	120,32
(C₂×C₆)⋊₂C₁₀ = C₅×C₃⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₆	60	2	(C2xC6):2C10	120,25
(C₂×C₆)⋊₃C₁₀ = S₃×C₂×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₆	60		(C2xC6):3C10	120,45

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₁₀ = C₁₀×Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₆	120		(C2xC6).C10	120,24

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C10