Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₂₀

Direct product G=N×Q with N=C₂×C₆ and Q=C₂₀

		d	ρ	Label	ID
C₂²×C₆₀		240		C2^2xC60	240,185

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₂₀

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₆)⋊₁C₂₀ = C₁₅×C₂²⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₆	120	(C2xC6):1C20	240,82
(C₂×C₆)⋊₂C₂₀ = C₅×C₆.D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₆	120	(C2xC6):2C20	240,64
(C₂×C₆)⋊₃C₂₀ = Dic₃×C₂×C₁₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₆	240	(C2xC6):3C20	240,173

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁C₂₀ = C₁₅×M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₆	120	2	(C2xC6).1C20	240,85
(C₂×C₆).₂C₂₀ = C₁₀×C₃⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₆	240		(C2xC6).2C20	240,54
(C₂×C₆).₃C₂₀ = C₅×C₄.Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂×C₆	120	2	(C2xC6).3C20	240,55

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C20