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

Direct product G=N×Q with N=C₆₀⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₆₀⋊C₄		120		C2xC60:C4	480,1064

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₆₀⋊C₄⋊₁C₂ = D₁₂⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	8+	C60:C4:1C2	480,228
C₆₀⋊C₄⋊₂C₂ = F₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	60	8+	C60:C4:2C2	480,995
C₆₀⋊C₄⋊₃C₂ = C₄⋊F₅⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	8	C60:C4:3C2	480,983
C₆₀⋊C₄⋊₄C₂ = S₃×C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	60	8	C60:C4:4C2	480,996
C₆₀⋊C₄⋊₅C₂ = D₂₀⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	8	C60:C4:5C2	480,312
C₆₀⋊C₄⋊₆C₂ = D₄×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	60	8	C60:C4:6C2	480,1067
C₆₀⋊C₄⋊₇C₂ = (C₂×C₁₂)⋊₆F₅	φ: trivial image	120	4	C60:C4:7C2	480,1065

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 = Dic₃₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	8-	C60:C4.1C2	480,230
C₆₀⋊C₄.₂C₂ = F₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	8-	C60:C4.2C2	480,982
C₆₀⋊C₄.₃C₂ = Dic₅.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	8	C60:C4.3C2	480,235
C₆₀⋊C₄.₄C₂ = Dic₅.₄Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	8	C60:C4.4C2	480,236
C₆₀⋊C₄.₅C₂ = Dic₁₀⋊₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	8	C60:C4.5C2	480,314
C₆₀⋊C₄.₆C₂ = Q₈×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	8	C60:C4.6C2	480,1069
C₆₀⋊C₄.₇C₂ = C₁₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	4	C60:C4.7C2	480,298
C₆₀⋊C₄.₈C₂ = D₅.D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₆₀⋊C₄	120	4	C60:C4.8C2	480,299

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