Extensions 1→N→G→Q→1 with N=D₆₀ and Q=C₂

Direct product G=N×Q with N=D₆₀ and Q=C₂

		d	ρ	Label	ID
C₂×D₆₀		120		C2xD60	240,177

Semidirect products G=N:Q with N=D₆₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆₀⋊₁C₂ = D₁₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	2+	D60:1C2	240,68
D₆₀⋊₂C₂ = D₄⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	4+	D60:2C2	240,76
D₆₀⋊₃C₂ = D₄×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	60	4+	D60:3C2	240,179
D₆₀⋊₄C₂ = Q₈⋊₃D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	4+	D60:4C2	240,182
D₆₀⋊₅C₂ = C₃⋊D₄₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	4+	D60:5C2	240,14
D₆₀⋊₆C₂ = D₆₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	4+	D60:6C2	240,130
D₆₀⋊₇C₂ = S₃×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	60	4+	D60:7C2	240,137
D₆₀⋊₈C₂ = C₅⋊D₂₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	4+	D60:8C2	240,15
D₆₀⋊₉C₂ = C₁₂.₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	4+	D60:9C2	240,134
D₆₀⋊₁₀C₂ = D₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	60	4+	D60:10C2	240,136
D₆₀⋊₁₁C₂ = D₆₀⋊₁₁C₂	φ: trivial image	120	2	D60:11C2	240,178

Non-split extensions G=N.Q with N=D₆₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆₀.₁C₂ = C₂₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	2	D60.1C2	240,67
D₆₀.₂C₂ = Q₈⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	4+	D60.2C2	240,78
D₆₀.₃C₂ = C₁₅⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	4+	D60.3C2	240,19
D₆₀.₄C₂ = Dic₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₆₀	120	4+	D60.4C2	240,21

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