Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×A₄

Direct product G=N×Q with N=C₂² and Q=C₅×A₄

		d	ρ	Label	ID
A₄×C₂×C₁₀		60		A4xC2xC10	240,203

Semidirect products G=N:Q with N=C₂² and Q=C₅×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅×A₄) = C₅×C₂²⋊A₄	φ: C₅×A₄/C₂×C₁₀ → C₃ ⊆ Aut C₂²	60		C2^2:(C5xA4)	240,204

Non-split extensions G=N.Q with N=C₂² and Q=C₅×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅×A₄) = C₅×C₄²⋊C₃	φ: C₅×A₄/C₂×C₁₀ → C₃ ⊆ Aut C₂²	60	3	C2^2.(C5xA4)	240,32
C₂².₂(C₅×A₄) = C₁₀×SL₂(𝔽₃)	central extension (φ=1)	80		C2^2.2(C5xA4)	240,153

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Extensions 1→N→G→Q→1 with N=C22 and Q=C5×A4