Extensions 1→N→G→Q→1 with N=D₁₇ and Q=C₈

Direct product G=N×Q with N=D₁₇ and Q=C₈

		d	ρ	Label	ID
C₈×D₁₇		136	2	C8xD17	272,4

Semidirect products G=N:Q with N=D₁₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₇⋊C₈ = C₂×C₁₇⋊C₈	φ: C₈/C₂ → C₄ ⊆ Out D₁₇	34	8+	D17:C8	272,51
D₁₇⋊₂C₈ = C₆₈.C₄	φ: C₈/C₄ → C₂ ⊆ Out D₁₇	136	4	D17:2C8	272,29

Non-split extensions G=N.Q with N=D₁₇ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₇.C₈ = F₁₇	φ: C₈/C₁ → C₈ ⊆ Out D₁₇	17	16+	D17.C8	272,50

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D17 and Q=C8