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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₀)⋊₁C₆ = C₃×D₁₀⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	120		(C2xC20):1C6	240,43
(C₂×C₂₀)⋊₂C₆ = C₁₅×C₂²⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	120		(C2xC20):2C6	240,82
(C₂×C₂₀)⋊₃C₆ = C₆×D₂₀	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	120		(C2xC20):3C6	240,157
(C₂×C₂₀)⋊₄C₆ = C₃×C₄○D₂₀	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	120	2	(C2xC20):4C6	240,158
(C₂×C₂₀)⋊₅C₆ = D₅×C₂×C₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	120		(C2xC20):5C6	240,156
(C₂×C₂₀)⋊₆C₆ = D₄×C₃₀	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	120		(C2xC20):6C6	240,186
(C₂×C₂₀)⋊₇C₆ = C₁₅×C₄○D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	120	2	(C2xC20):7C6	240,188

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₀).₁C₆ = C₃×C₁₀.D₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	240		(C2xC20).1C6	240,41
(C₂×C₂₀).₂C₆ = C₁₅×C₄⋊C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	240		(C2xC20).2C6	240,83
(C₂×C₂₀).₃C₆ = C₃×C₄⋊Dic₅	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	240		(C2xC20).3C6	240,42
(C₂×C₂₀).₄C₆ = C₆×Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	240		(C2xC20).4C6	240,155
(C₂×C₂₀).₅C₆ = C₃×C₄.Dic₅	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	120	2	(C2xC20).5C6	240,39
(C₂×C₂₀).₆C₆ = C₆×C₅⋊₂C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	240		(C2xC20).6C6	240,38
(C₂×C₂₀).₇C₆ = C₁₂×Dic₅	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	240		(C2xC20).7C6	240,40
(C₂×C₂₀).₈C₆ = C₁₅×M₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	120	2	(C2xC20).8C6	240,85
(C₂×C₂₀).₉C₆ = Q₈×C₃₀	φ: C₆/C₃ → C₂ ⊆ Aut C₂×C₂₀	240		(C2xC20).9C6	240,187

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