Extensions 1→N→G→Q→1 with N=C₁₇₁ and Q=C₂

Direct product G=N×Q with N=C₁₇₁ and Q=C₂

		d	ρ	Label	ID
C₃₄₂		342	1	C342	342,6

Semidirect products G=N:Q with N=C₁₇₁ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇₁⋊₁C₂ = D₁₇₁	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₁	171	2+	C171:1C2	342,5
C₁₇₁⋊₂C₂ = C₉×D₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₁	171	2	C171:2C2	342,4
C₁₇₁⋊₃C₂ = D₉×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₁₇₁	171	2	C171:3C2	342,3

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁