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

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

		d	ρ	Label	ID
C₂²×C₅⋊F₅		100		C2^2xC5:F5	400,216

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊F₅⋊C₂² = C₂×D₅⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊F₅	20	8+	C5:F5:C2^2	400,210

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊F₅.₁C₂² = C₅²⋊M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₅⋊F₅	10	8+	C5:F5.1C2^2	400,206
C₅⋊F₅.₂C₂² = D₅≀C₂⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₅⋊F₅	10	8+	C5:F5.2C2^2	400,207
C₅⋊F₅.₃C₂² = C₂×C₅²⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅⋊F₅	20	8+	C5:F5.3C2^2	400,208

⋊

ℤ

𝔽

○

≀

ℚ

◁

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