Extensions 1→N→G→Q→1 with N=C₂² and Q=F₅

Direct product G=N×Q with N=C₂² and Q=F₅

		d	ρ	Label	ID
C₂²×F₅		20		C2^2xF5	80,50

Semidirect products G=N:Q with N=C₂² and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊F₅ = C₂²⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂²	20	4+	C2^2:F5	80,34

Non-split extensions G=N.Q with N=C₂² and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².F₅ = C₂².F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂²	40	4-	C2^2.F5	80,33
C₂².₂F₅ = C₂×C₅⋊C₈	central extension (φ=1)	80		C2^2.2F5	80,32

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Extensions 1→N→G→Q→1 with N=C22 and Q=F5