Extensions 1→N→G→Q→1 with N=D₅ and Q=C₂²⋊C₈

Direct product G=N×Q with N=D₅ and Q=C₂²⋊C₈

		d	ρ	Label	ID
D₅×C₂²⋊C₈		80		D5xC2^2:C8	320,351

Semidirect products G=N:Q with N=D₅ and Q=C₂²⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₂²⋊C₈) = D₁₀.₁₁M₄(2)	φ: C₂²⋊C₈/C₂²×C₄ → C₂ ⊆ Out D₅	80		D5:(C2^2:C8)	320,1091

Non-split extensions G=N.Q with N=D₅ and Q=C₂²⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.(C₂²⋊C₈) = D₁₀.₃M₄(2)	φ: C₂²⋊C₈/C₂×C₈ → C₂ ⊆ Out D₅	80		D5.(C2^2:C8)	320,230

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D5 and Q=C22⋊C8