Extensions 1→N→G→Q→1 with N=C₃₄ and Q=D₅

Direct product G=N×Q with N=C₃₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₃₄		170	2	D5xC34	340,13

Semidirect products G=N:Q with N=C₃₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄⋊D₅ = D₁₇₀	φ: D₅/C₅ → C₂ ⊆ Aut C₃₄	170	2+	C34:D5	340,14

Non-split extensions G=N.Q with N=C₃₄ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄.D₅ = Dic₈₅	φ: D₅/C₅ → C₂ ⊆ Aut C₃₄	340	2-	C34.D5	340,3
C₃₄.₂D₅ = C₁₇×Dic₅	central extension (φ=1)	340	2	C34.2D5	340,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C34 and Q=D5