Extensions 1→N→G→Q→1 with N=Dic₆₀ and Q=C₂

Direct product G=N×Q with N=Dic₆₀ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₆₀		480		C2xDic60	480,870

Semidirect products G=N:Q with N=Dic₆₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆₀⋊₁C₂ = C₄₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	2	Dic60:1C2	480,160
Dic₆₀⋊₂C₂ = C₈.D₃₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:2C2	480,874
Dic₆₀⋊₃C₂ = D₄₀.S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:3C2	480,18
Dic₆₀⋊₄C₂ = S₃×Dic₂₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:4C2	480,338
Dic₆₀⋊₅C₂ = D₄₀⋊₇S₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:5C2	480,349
Dic₆₀⋊₆C₂ = D₈.D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:6C2	480,187
Dic₆₀⋊₇C₂ = D₈⋊₃D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:7C2	480,877
Dic₆₀⋊₈C₂ = Q₁₆×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:8C2	480,882
Dic₆₀⋊₉C₂ = SD₁₆⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:9C2	480,880
Dic₆₀⋊₁₀C₂ = D₂₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:10C2	480,20
Dic₆₀⋊₁₁C₂ = D₅×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:11C2	480,335
Dic₆₀⋊₁₂C₂ = D₂₄⋊₇D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:12C2	480,346
Dic₆₀⋊₁₃C₂ = C₄₀.₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:13C2	480,350
Dic₆₀⋊₁₄C₂ = Dic₆₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	240	4-	Dic60:14C2	480,336
Dic₆₀⋊₁₅C₂ = C₄₀.₆₉D₆	φ: trivial image	240	2	Dic60:15C2	480,869

Non-split extensions G=N.Q with N=Dic₆₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆₀.₁C₂ = Dic₁₂₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	480	2-	Dic60.1C2	480,161
Dic₆₀.₂C₂ = C₃⋊Dic₄₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	480	4-	Dic60.2C2	480,23
Dic₆₀.₃C₂ = C₁₅⋊₇Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	480	4-	Dic60.3C2	480,189
Dic₆₀.₄C₂ = C₅⋊Dic₂₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₆₀	480	4-	Dic60.4C2	480,24

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