Extensions 1→N→G→Q→1 with N=C₆₀ and Q=C₈

Direct product G=NxQ with N=C₆₀ and Q=C₈

		d	ρ	Label	ID
C₄xC₁₂₀		480		C4xC120	480,199

Semidirect products G=N:Q with N=C₆₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₀:₁C₈ = C₆₀:C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₆₀	480		C60:1C8	480,306
C₆₀:₂C₈ = C₄xC₁₅:C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₆₀	480		C60:2C8	480,305
C₆₀:₃C₈ = C₃xC₂₀:C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₆₀	480		C60:3C8	480,281
C₆₀:₄C₈ = C₁₂xC₅:C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₆₀	480		C60:4C8	480,280
C₆₀:₅C₈ = C₆₀:₅C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480		C60:5C8	480,164
C₆₀:₆C₈ = C₄xC₁₅:₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480		C60:6C8	480,162
C₆₀:₇C₈ = C₃xC₂₀:₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480		C60:7C8	480,82
C₆₀:₈C₈ = C₅xC₁₂:C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480		C60:8C8	480,123
C₆₀:₉C₈ = C₁₂xC₅:₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480		C60:9C8	480,80
C₆₀:₁₀C₈ = C₂₀xC₃:C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480		C60:10C8	480,121
C₆₀:₁₁C₈ = C₁₅xC₄:C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480		C60:11C8	480,208

Non-split extensions G=N.Q with N=C₆₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₀.₁C₈ = C₆₀.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₆₀	240	4	C60.1C8	480,303
C₆₀.₂C₈ = C₁₅:C₃₂	φ: C₈/C₂ → C₄ ⊆ Aut C₆₀	480	4	C60.2C8	480,6
C₆₀.₃C₈ = C₂xC₁₅:C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₆₀	480		C60.3C8	480,302
C₆₀.₄C₈ = C₃xC₂₀.C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₆₀	240	4	C60.4C8	480,278
C₆₀.₅C₈ = C₃xC₅:C₃₂	φ: C₈/C₂ → C₄ ⊆ Aut C₆₀	480	4	C60.5C8	480,5
C₆₀.₆C₈ = C₆xC₅:C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₆₀	480		C60.6C8	480,277
C₆₀.₇C₈ = C₆₀.₇C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	240	2	C60.7C8	480,172
C₆₀.₈C₈ = C₁₅:₃C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480	2	C60.8C8	480,3
C₆₀.₉C₈ = C₂xC₁₅:₃C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480		C60.9C8	480,171
C₆₀.₁₀C₈ = C₃xC₂₀.₄C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	240	2	C60.10C8	480,90
C₆₀.₁₁C₈ = C₅xC₁₂.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	240	2	C60.11C8	480,131
C₆₀.₁₂C₈ = C₃xC₅:₂C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480	2	C60.12C8	480,2
C₆₀.₁₃C₈ = C₆xC₅:₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480		C60.13C8	480,89
C₆₀.₁₄C₈ = C₅xC₃:C₃₂	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480	2	C60.14C8	480,1
C₆₀.₁₅C₈ = C₁₀xC₃:C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	480		C60.15C8	480,130
C₆₀.₁₆C₈ = C₁₅xM₅(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₆₀	240	2	C60.16C8	480,213

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