Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₆₀

Direct product G=NxQ with N=C₂² and Q=C₂xC₆₀

		d	ρ	Label	ID
C₂³xC₆₀		480		C2^3xC60	480,1180

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₂xC₆₀) = A₄xC₂xC₂₀	φ: C₂xC₆₀/C₂xC₂₀ → C₃ ⊆ Aut C₂²	120		C2^2:(C2xC60)	480,1126
C₂²:₂(C₂xC₆₀) = D₄xC₆₀	φ: C₂xC₆₀/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:2(C2xC60)	480,923
C₂²:₃(C₂xC₆₀) = C₂²:C₄xC₃₀	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₂²	240		C2^2:3(C2xC60)	480,920

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂xC₆₀) = C₁₅xC₈oD₄	φ: C₂xC₆₀/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.1(C2xC60)	480,936
C₂².₂(C₂xC₆₀) = C₁₅xC₂³:C₄	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.2(C2xC60)	480,202
C₂².₃(C₂xC₆₀) = C₁₅xC₄.D₄	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.3(C2xC60)	480,203
C₂².₄(C₂xC₆₀) = C₁₅xC₄.₁₀D₄	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₂²	240	4	C2^2.4(C2xC60)	480,204
C₂².₅(C₂xC₆₀) = C₁₅xC₄²:C₂	φ: C₂xC₆₀/C₂xC₃₀ → C₂ ⊆ Aut C₂²	240		C2^2.5(C2xC60)	480,922
C₂².₆(C₂xC₆₀) = C₁₅xC₂.C₄²	central extension (φ=1)	480		C2^2.6(C2xC60)	480,198
C₂².₇(C₂xC₆₀) = C₁₅xC₈:C₄	central extension (φ=1)	480		C2^2.7(C2xC60)	480,200
C₂².₈(C₂xC₆₀) = C₁₅xC₂²:C₈	central extension (φ=1)	240		C2^2.8(C2xC60)	480,201
C₂².₉(C₂xC₆₀) = C₁₅xC₄:C₈	central extension (φ=1)	480		C2^2.9(C2xC60)	480,208
C₂².₁₀(C₂xC₆₀) = C₄:C₄xC₃₀	central extension (φ=1)	480		C2^2.10(C2xC60)	480,921
C₂².₁₁(C₂xC₆₀) = M₄(2)xC₃₀	central extension (φ=1)	240		C2^2.11(C2xC60)	480,935

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