Extensions 1→N→G→Q→1 with N=D₅ and Q=C₂×Q₈

Direct product G=N×Q with N=D₅ and Q=C₂×Q₈

		d	ρ	Label	ID
C₂×Q₈×D₅		80		C2xQ8xD5	160,220

Non-split extensions G=N.Q with N=D₅ and Q=C₂×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₂×Q₈) = C₂×C₄⋊F₅	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out D₅	40		D5.1(C2xQ8)	160,204
D₅.₂(C₂×Q₈) = Q₈×F₅	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out D₅	40	8-	D5.2(C2xQ8)	160,209

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁