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
C₂²×C₅⋊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) = C₂×C₅²⋊₄C₈	central extension (φ=1)	400		C2^2.2(C5:F5)	400,153

⋊

ℤ

𝔽

○

≀

ℚ

◁

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