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

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

		d	ρ	Label	ID
C₂²×C₆₀		240		C2^2xC60	240,185

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊C₆₀ = A₄×C₂₀	φ: C₆₀/C₂₀ → C₃ ⊆ Aut C₂²	60	3	C2^2:C60	240,152
C₂²⋊₂C₆₀ = C₁₅×C₂²⋊C₄	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂²	120		C2^2:2C60	240,82

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².C₆₀ = C₁₅×M₄(2)	φ: C₆₀/C₃₀ → C₂ ⊆ Aut C₂²	120	2	C2^2.C60	240,85

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