Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=C₁₀

Direct product G=N×Q with N=C₃×C₆ and Q=C₁₀

		d	ρ	Label	ID
C₆×C₃₀		180		C6xC30	180,37

Semidirect products G=N:Q with N=C₃×C₆ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊₁C₁₀ = S₃×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₆	60	2	(C3xC6):1C10	180,33
(C₃×C₆)⋊₂C₁₀ = C₁₀×C₃⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₆	90		(C3xC6):2C10	180,35

Non-split extensions G=N.Q with N=C₃×C₆ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).₁C₁₀ = Dic₃×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₆	60	2	(C3xC6).1C10	180,14
(C₃×C₆).₂C₁₀ = C₅×C₃⋊Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₃×C₆	180		(C3xC6).2C10	180,16

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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C10