Extensions 1→N→G→Q→1 with N=D₅ and Q=D₄⋊C₄

Direct product G=N×Q with N=D₅ and Q=D₄⋊C₄

		d	ρ	Label	ID
D₅×D₄⋊C₄		80		D5xD4:C4	320,396

Semidirect products G=N:Q with N=D₅ and Q=D₄⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(D₄⋊C₄) = C₂×D₂₀⋊C₄	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Out D₅	80		D5:(D4:C4)	320,1104

Non-split extensions G=N.Q with N=D₅ and Q=D₄⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(D₄⋊C₄) = D₁₀.₁₈D₈	φ: D₄⋊C₄/C₄⋊C₄ → C₂ ⊆ Out D₅	80		D5.1(D4:C4)	320,212
D₅.₂(D₄⋊C₄) = D₁₀.₁₀D₈	φ: D₄⋊C₄/C₂×C₈ → C₂ ⊆ Out D₅	80		D5.2(D4:C4)	320,231

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D5 and Q=D4⋊C4