Extensions 1→N→G→Q→1 with N=C₆₀.C₄ and Q=C₂

Direct product G=NxQ with N=C₆₀.C₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₆₀.C₄		240		C2xC60.C4	480,1060

Semidirect products G=N:Q with N=C₆₀.C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆₀.C₄:₁C₂ = D₆₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	120	8+	C60.C4:1C2	480,227
C₆₀.C₄:₂C₂ = D₁₂.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	240	8-	C60.C4:2C2	480,989
C₆₀.C₄:₃C₂ = Dic₆.F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	240	8+	C60.C4:3C2	480,992
C₆₀.C₄:₄C₂ = S₃xD₅:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	120	8	C60.C4:4C2	480,986
C₆₀.C₄:₅C₂ = C₅:C₈:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	120	8	C60.C4:5C2	480,993
C₆₀.C₄:₆C₂ = D₂₀:Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	120	8	C60.C4:6C2	480,312
C₆₀.C₄:₇C₂ = Dic₁₀.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	240	8	C60.C4:7C2	480,1066
C₆₀.C₄:₈C₂ = D₂₀.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	240	8	C60.C4:8C2	480,1068
C₆₀.C₄:₉C₂ = C₆₀.₅₉(C₂xC₄)	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	120	4	C60.C4:9C2	480,1062

Non-split extensions G=N.Q with N=C₆₀.C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₆₀.C₄.₁C₂ = Dic₆:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	120	8-	C60.C4.1C2	480,229
C₆₀.C₄.₂C₂ = F₅xC₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	120	8	C60.C4.2C2	480,223
C₆₀.C₄.₃C₂ = C₃₀.₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	120	8	C60.C4.3C2	480,225
C₆₀.C₄.₄C₂ = Dic₁₀:₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	120	8	C60.C4.4C2	480,314
C₆₀.C₄.₅C₂ = C₂₄:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀.C₄	120	4	C60.C4.5C2	480,297
C₆₀.C₄.₆C₂ = C₈xC₃:F₅	φ: trivial image	120	4	C60.C4.6C2	480,296

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