Extensions 1→N→G→Q→1 with N=D₅⋊C₁₆ and Q=C₂

Direct product G=N×Q with N=D₅⋊C₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₅⋊C₁₆		160		C2xD5:C16	320,1051

Semidirect products G=N:Q with N=D₅⋊C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₁₆⋊₁C₂ = D₅.D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₁₆	80	8+	D5:C16:1C2	320,242
D₅⋊C₁₆⋊₂C₂ = D₈.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₁₆	160	8-	D5:C16:2C2	320,243
D₅⋊C₁₆⋊₃C₂ = Q₁₆.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₁₆	160	8+	D5:C16:3C2	320,247
D₅⋊C₁₆⋊₄C₂ = D₅⋊M₅(2)	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₁₆	80	4	D5:C16:4C2	320,1053
D₅⋊C₁₆⋊₅C₂ = Dic₁₀.C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₁₆	160	8	D5:C16:5C2	320,1063

Non-split extensions G=N.Q with N=D₅⋊C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊C₁₆.₁C₂ = D₅.Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₁₆	80	8-	D5:C16.1C2	320,246
D₅⋊C₁₆.₂C₂ = C₁₆⋊₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊C₁₆	80	4	D5:C16.2C2	320,182
D₅⋊C₁₆.₃C₂ = C₁₆×F₅	φ: trivial image	80	4	D5:C16.3C2	320,181

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁