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

Direct product G=N×Q with N=D₅ and Q=C₄⋊₁D₄

		d	ρ	Label	ID
D₅×C₄⋊₁D₄		80		D5xC4:1D4	320,1386

Non-split extensions G=N.Q with N=D₅ and Q=C₄⋊₁D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₄⋊₁D₄) = C₄²⋊₈F₅	φ: C₄⋊₁D₄/C₄² → C₂ ⊆ Out D₅	80		D5.1(C4:1D4)	320,1026
D₅.₂(C₄⋊₁D₄) = C₂.(D₄×F₅)	φ: C₄⋊₁D₄/C₂×D₄ → C₂ ⊆ Out D₅	80		D5.2(C4:1D4)	320,1118

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁