Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₆₀

Direct product G=NxQ with N=C₄ and Q=C₂xC₆₀

		d	ρ	Label	ID
C₂xC₄xC₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₂xC₆₀) = D₄xC₆₀	φ: C₂xC₆₀/C₆₀ → C₂ ⊆ Aut C₄	240		C4:1(C2xC60)	480,923
C₄:₂(C₂xC₆₀) = C₄:C₄xC₃₀	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	480		C4:2(C2xC60)	480,921

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₆₀) = C₁₅xD₄:C₄	φ: C₂xC₆₀/C₆₀ → C₂ ⊆ Aut C₄	240		C4.1(C2xC60)	480,205
C₄.₂(C₂xC₆₀) = C₁₅xQ₈:C₄	φ: C₂xC₆₀/C₆₀ → C₂ ⊆ Aut C₄	480		C4.2(C2xC60)	480,206
C₄.₃(C₂xC₆₀) = C₁₅xC₄wrC₂	φ: C₂xC₆₀/C₆₀ → C₂ ⊆ Aut C₄	120	2	C4.3(C2xC60)	480,207
C₄.₄(C₂xC₆₀) = Q₈xC₆₀	φ: C₂xC₆₀/C₆₀ → C₂ ⊆ Aut C₄	480		C4.4(C2xC60)	480,924
C₄.₅(C₂xC₆₀) = C₁₅xC₈oD₄	φ: C₂xC₆₀/C₆₀ → C₂ ⊆ Aut C₄	240	2	C4.5(C2xC60)	480,936
C₄.₆(C₂xC₆₀) = C₁₅xC₄.Q₈	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	480		C4.6(C2xC60)	480,209
C₄.₇(C₂xC₆₀) = C₁₅xC₂.D₈	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	480		C4.7(C2xC60)	480,210
C₄.₈(C₂xC₆₀) = C₁₅xC₈.C₄	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	240	2	C4.8(C2xC60)	480,211
C₄.₉(C₂xC₆₀) = C₁₅xC₄²:C₂	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	240		C4.9(C2xC60)	480,922
C₄.₁₀(C₂xC₆₀) = M₄(2)xC₃₀	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	240		C4.10(C2xC60)	480,935
C₄.₁₁(C₂xC₆₀) = C₁₅xC₈:C₄	central extension (φ=1)	480		C4.11(C2xC60)	480,200
C₄.₁₂(C₂xC₆₀) = C₁₅xM₅(2)	central extension (φ=1)	240	2	C4.12(C2xC60)	480,213

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