Extensions 1→N→G→Q→1 with N=C₆₀ and Q=C₆

Direct product G=N×Q with N=C₆₀ and Q=C₆

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

Semidirect products G=N:Q with N=C₆₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₀⋊₁C₆ = C₃×D₆₀	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	120	2	C60:1C6	360,102
C₆₀⋊₂C₆ = C₁₂×D₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	120	2	C60:2C6	360,101
C₆₀⋊₃C₆ = C₃²×D₂₀	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	180		C60:3C6	360,92
C₆₀⋊₄C₆ = C₁₅×D₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	120	2	C60:4C6	360,97
C₆₀⋊₅C₆ = D₅×C₃×C₁₂	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	180		C60:5C6	360,91
C₆₀⋊₆C₆ = S₃×C₆₀	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	120	2	C60:6C6	360,96
C₆₀⋊₇C₆ = D₄×C₃×C₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	180		C60:7C6	360,116

Non-split extensions G=N.Q with N=C₆₀ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₀.₁C₆ = C₃×Dic₃₀	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	120	2	C60.1C6	360,100
C₆₀.₂C₆ = C₃×C₁₅⋊₃C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	120	2	C60.2C6	360,35
C₆₀.₃C₆ = C₉×Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	360	2	C60.3C6	360,15
C₆₀.₄C₆ = C₉×D₂₀	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	180	2	C60.4C6	360,17
C₆₀.₅C₆ = C₃²×Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	360		C60.5C6	360,90
C₆₀.₆C₆ = C₁₅×Dic₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	120	2	C60.6C6	360,95
C₆₀.₇C₆ = C₉×C₅⋊₂C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	360	2	C60.7C6	360,2
C₆₀.₈C₆ = D₅×C₃₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	180	2	C60.8C6	360,16
C₆₀.₉C₆ = C₃²×C₅⋊₂C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	360		C60.9C6	360,33
C₆₀.₁₀C₆ = C₁₅×C₃⋊C₈	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	120	2	C60.10C6	360,34
C₆₀.₁₁C₆ = D₄×C₄₅	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	180	2	C60.11C6	360,31
C₆₀.₁₂C₆ = Q₈×C₄₅	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	360	2	C60.12C6	360,32
C₆₀.₁₃C₆ = Q₈×C₃×C₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₆₀	360		C60.13C6	360,117

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