Extensions 1→N→G→Q→1 with N=D₅ and Q=C₄⋊C₈

Direct product G=N×Q with N=D₅ and Q=C₄⋊C₈

		d	ρ	Label	ID
D₅×C₄⋊C₈		160		D5xC4:C8	320,459

Semidirect products G=N:Q with N=D₅ and Q=C₄⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₄⋊C₈) = C₄².₁₁F₅	φ: C₄⋊C₈/C₄² → C₂ ⊆ Out D₅	160		D5:(C4:C8)	320,1017

Non-split extensions G=N.Q with N=D₅ and Q=C₄⋊C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.(C₄⋊C₈) = D₁₀.₃M₄(2)	φ: C₄⋊C₈/C₂×C₈ → C₂ ⊆ Out D₅	80		D5.(C4:C8)	320,230

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D5 and Q=C4⋊C8