Extensions 1→N→G→Q→1 with N=D₅.D₅ and Q=C₄

Direct product G=N×Q with N=D₅.D₅ and Q=C₄

		d	ρ	Label	ID
C₄×D₅.D₅		80	4	C4xD5.D5	400,144

Semidirect products G=N:Q with N=D₅.D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.D₅⋊C₄ = F₅²	φ: C₄/C₁ → C₄ ⊆ Out D₅.D₅	20	16+	D5.D5:C4	400,205
D₅.D₅⋊₂C₄ = Dic₅×F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅.D₅	80	8-	D5.D5:2C4	400,117

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁