Extensions 1→N→G→Q→1 with N=C₂² and Q=S₅

Direct product G=N×Q with N=C₂² and Q=S₅

		d	ρ	Label	ID
C₂²×S₅		20		C2^2xS5	480,1186

Semidirect products G=N:Q with N=C₂² and Q=S₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊S₅ = C₂²⋊S₅	φ: S₅/A₅ → C₂ ⊆ Aut C₂²	20	6+	C2^2:S5	480,951

Non-split extensions G=N.Q with N=C₂² and Q=S₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².S₅ = C₂².S₅	φ: S₅/A₅ → C₂ ⊆ Aut C₂²	48	4-	C2^2.S5	480,953
C₂².₂S₅ = C₂².₂S₅	central extension (φ=1)	96		C2^2.2S5	480,219
C₂².₃S₅ = C₂×CSU₂(𝔽₅)	central extension (φ=1)	96		C2^2.3S5	480,949
C₂².₄S₅ = C₂×C₂.S₅	central extension (φ=1)	80		C2^2.4S5	480,950
C₂².₅S₅ = C₂×A₅⋊C₄	central extension (φ=1)	24		C2^2.5S5	480,952

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