Extensions 1→N→G→Q→1 with N=D₄ and Q=D₁₇

Direct product G=N×Q with N=D₄ and Q=D₁₇

		d	ρ	Label	ID
D₄×D₁₇		68	4+	D4xD17	272,40

Semidirect products G=N:Q with N=D₄ and Q=D₁₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₁₇ = D₄⋊D₁₇	φ: D₁₇/C₁₇ → C₂ ⊆ Out D₄	136	4+	D4:D17	272,15
D₄⋊₂D₁₇ = D₄⋊₂D₁₇	φ: trivial image	136	4-	D4:2D17	272,41

Non-split extensions G=N.Q with N=D₄ and Q=D₁₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₁₇ = D₄.D₁₇	φ: D₁₇/C₁₇ → C₂ ⊆ Out D₄	136	4-	D4.D17	272,16

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D4 and Q=D17