Extensions 1→N→G→Q→1 with N=D₈₆ and Q=C₂

Direct product G=N×Q with N=D₈₆ and Q=C₂

		d	ρ	Label	ID
C₂²×D₄₃		172		C2^2xD43	344,11

Semidirect products G=N:Q with N=D₈₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₈₆⋊₁C₂ = D₁₇₂	φ: C₂/C₁ → C₂ ⊆ Out D₈₆	172	2+	D86:1C2	344,5
D₈₆⋊₂C₂ = C₄₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₈₆	172	2	D86:2C2	344,7

Non-split extensions G=N.Q with N=D₈₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₈₆.C₂ = C₄×D₄₃	φ: trivial image	172	2	D86.C2	344,4

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D86 and Q=C2