Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=C₂₀

Direct product G=N×Q with N=C₃×C₆ and Q=C₂₀

		d	ρ	Label	ID
C₆×C₆₀		360		C6xC60	360,115

Semidirect products G=N:Q with N=C₃×C₆ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊C₂₀ = C₁₀×C₃²⋊C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₃×C₆	60	4	(C3xC6):C20	360,148
(C₃×C₆)⋊₂C₂₀ = Dic₃×C₃₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₃×C₆	120		(C3xC6):2C20	360,98
(C₃×C₆)⋊₃C₂₀ = C₁₀×C₃⋊Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₃×C₆	360		(C3xC6):3C20	360,108

Non-split extensions G=N.Q with N=C₃×C₆ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).C₂₀ = C₅×C₃²⋊₂C₈	φ: C₂₀/C₅ → C₄ ⊆ Aut C₃×C₆	120	4	(C3xC6).C20	360,55
(C₃×C₆).₂C₂₀ = C₁₅×C₃⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₃×C₆	120	2	(C3xC6).2C20	360,34
(C₃×C₆).₃C₂₀ = C₅×C₃²⋊₄C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₃×C₆	360		(C3xC6).3C20	360,36

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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C20