Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅×F₅

Direct product G=N×Q with N=C₂² and Q=C₅×F₅

		d	ρ	Label	ID
F₅×C₂×C₁₀		80		F5xC2xC10	400,214

Semidirect products G=N:Q with N=C₂² and Q=C₅×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₅×F₅) = C₅×C₂²⋊F₅	φ: C₅×F₅/C₅×D₅ → C₂ ⊆ Aut C₂²	40	4	C2^2:(C5xF5)	400,141

Non-split extensions G=N.Q with N=C₂² and Q=C₅×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₅×F₅) = C₅×C₂².F₅	φ: C₅×F₅/C₅×D₅ → C₂ ⊆ Aut C₂²	40	4	C2^2.(C5xF5)	400,140
C₂².₂(C₅×F₅) = C₁₀×C₅⋊C₈	central extension (φ=1)	80		C2^2.2(C5xF5)	400,139

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Extensions 1→N→G→Q→1 with N=C22 and Q=C5×F5