Extensions 1→N→G→Q→1 with N=D₅ and Q=D₄

Direct product G=N×Q with N=D₅ and Q=D₄

		d	ρ	Label	ID
D₄×D₅		20	4+	D4xD5	80,39

Non-split extensions G=N.Q with N=D₅ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁D₄ = C₄⋊F₅	φ: D₄/C₄ → C₂ ⊆ Out D₅	20	4	D5.1D4	80,31
D₅.₂D₄ = C₂²⋊F₅	φ: D₄/C₂² → C₂ ⊆ Out D₅	20	4+	D5.2D4	80,34

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁