Extensions 1→N→G→Q→1 with N=C₆₀ and Q=C₂

Direct product G=N×Q with N=C₆₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₆₀		120		C2xC60	120,31

Semidirect products G=N:Q with N=C₆₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₀⋊₁C₂ = D₆₀	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	60	2+	C60:1C2	120,28
C₆₀⋊₂C₂ = C₄×D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	60	2	C60:2C2	120,27
C₆₀⋊₃C₂ = C₃×D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	60	2	C60:3C2	120,18
C₆₀⋊₄C₂ = C₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	60	2	C60:4C2	120,23
C₆₀⋊₅C₂ = D₅×C₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	60	2	C60:5C2	120,17
C₆₀⋊₆C₂ = S₃×C₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	60	2	C60:6C2	120,22
C₆₀⋊₇C₂ = D₄×C₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	60	2	C60:7C2	120,32

Non-split extensions G=N.Q with N=C₆₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₀.₁C₂ = Dic₃₀	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	120	2-	C60.1C2	120,26
C₆₀.₂C₂ = C₁₅⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	120	2	C60.2C2	120,3
C₆₀.₃C₂ = C₃×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	120	2	C60.3C2	120,16
C₆₀.₄C₂ = C₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	120	2	C60.4C2	120,21
C₆₀.₅C₂ = C₃×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	120	2	C60.5C2	120,2
C₆₀.₆C₂ = C₅×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	120	2	C60.6C2	120,1
C₆₀.₇C₂ = Q₈×C₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₆₀	120	2	C60.7C2	120,33

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