Extensions 1→N→G→Q→1 with N=C₇ and Q=C₆₀

Direct product G=N×Q with N=C₇ and Q=C₆₀

		d	ρ	Label	ID
C₄₂₀		420	1	C420	420,12

Semidirect products G=N:Q with N=C₇ and Q=C₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊C₆₀ = C₅×C₇⋊C₁₂	φ: C₆₀/C₁₀ → C₆ ⊆ Aut C₇	140	6	C7:C60	420,1
C₇⋊₂C₆₀ = C₂₀×C₇⋊C₃	φ: C₆₀/C₂₀ → C₃ ⊆ Aut C₇	140	3	C7:2C60	420,4
C₇⋊₃C₆₀ = C₁₅×Dic₇	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₇	420	2	C7:3C60	420,5

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