Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₃₀

Direct product G=N×Q with N=C₂×C₆ and Q=C₃₀

		d	ρ	Label	ID
C₂×C₆×C₃₀		360		C2xC6xC30	360,162

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊C₃₀ = C₅×S₃×A₄	φ: C₃₀/C₅ → C₆ ⊆ Aut C₂×C₆	60	6	(C2xC6):C30	360,143
(C₂×C₆)⋊₂C₃₀ = A₄×C₃₀	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₂×C₆	90	3	(C2xC6):2C30	360,156
(C₂×C₆)⋊₃C₃₀ = D₄×C₃×C₁₅	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₆	180		(C2xC6):3C30	360,116
(C₂×C₆)⋊₄C₃₀ = C₁₅×C₃⋊D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₆	60	2	(C2xC6):4C30	360,99
(C₂×C₆)⋊₅C₃₀ = S₃×C₂×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₆	120		(C2xC6):5C30	360,158

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₃₀ = C₁₀×C₃.A₄	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₂×C₆	90	3	(C2xC6).C30	360,46
(C₂×C₆).₂C₃₀ = D₄×C₄₅	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₆	180	2	(C2xC6).2C30	360,31
(C₂×C₆).₃C₃₀ = Dic₃×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂×C₆	120		(C2xC6).3C30	360,98

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