Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₆₀

Direct product G=N×Q with N=C₂² and Q=C₂×C₆₀

		d	ρ	Label	ID
C₂³×C₆₀		480		C2^3xC60	480,1180

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₆₀) = A₄×C₂×C₂₀	φ: C₂×C₆₀/C₂×C₂₀ → C₃ ⊆ Aut C₂²	120		C2^2:(C2xC60)	480,1126
C₂²⋊₂(C₂×C₆₀) = D₄×C₆₀	φ: C₂×C₆₀/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:2(C2xC60)	480,923
C₂²⋊₃(C₂×C₆₀) = C₂²⋊C₄×C₃₀	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₂²	240		C2^2:3(C2xC60)	480,920

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×C₆₀) = C₁₅×C₈○D₄	φ: C₂×C₆₀/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.1(C2xC60)	480,936
C₂².₂(C₂×C₆₀) = C₁₅×C₂³⋊C₄	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.2(C2xC60)	480,202
C₂².₃(C₂×C₆₀) = C₁₅×C₄.D₄	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.3(C2xC60)	480,203
C₂².₄(C₂×C₆₀) = C₁₅×C₄.₁₀D₄	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₂²	240	4	C2^2.4(C2xC60)	480,204
C₂².₅(C₂×C₆₀) = C₁₅×C₄²⋊C₂	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₂²	240		C2^2.5(C2xC60)	480,922
C₂².₆(C₂×C₆₀) = C₁₅×C₂.C₄²	central extension (φ=1)	480		C2^2.6(C2xC60)	480,198
C₂².₇(C₂×C₆₀) = C₁₅×C₈⋊C₄	central extension (φ=1)	480		C2^2.7(C2xC60)	480,200
C₂².₈(C₂×C₆₀) = C₁₅×C₂²⋊C₈	central extension (φ=1)	240		C2^2.8(C2xC60)	480,201
C₂².₉(C₂×C₆₀) = C₁₅×C₄⋊C₈	central extension (φ=1)	480		C2^2.9(C2xC60)	480,208
C₂².₁₀(C₂×C₆₀) = C₄⋊C₄×C₃₀	central extension (φ=1)	480		C2^2.10(C2xC60)	480,921
C₂².₁₁(C₂×C₆₀) = M₄(2)×C₃₀	central extension (φ=1)	240		C2^2.11(C2xC60)	480,935

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