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

Direct product G=NxQ with N=C₂² and Q=C₅:F₅

		d	ρ	Label	ID
C₂²xC₅:F₅		100		C2^2xC5:F5	400,216

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₅:F₅) = C₁₀²:C₄	φ: C₅:F₅/C₅:D₅ → C₂ ⊆ Aut C₂²	100		C2^2:(C5:F5)	400,155

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) = C₅²:₁₃M₄(2)	φ: C₅:F₅/C₅:D₅ → C₂ ⊆ Aut C₂²	200		C2^2.(C5:F5)	400,154
C₂².₂(C₅:F₅) = C₂xC₅²:₄C₈	central extension (φ=1)	400		C2^2.2(C5:F5)	400,153

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