Extensions 1→N→G→Q→1 with N=C₁₇ and Q=D₄

Direct product G=N×Q with N=C₁₇ and Q=D₄

		d	ρ	Label	ID
D₄×C₁₇		68	2	D4xC17	136,10

Semidirect products G=N:Q with N=C₁₇ and Q=D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇⋊₁D₄ = D₆₈	φ: D₄/C₄ → C₂ ⊆ Aut C₁₇	68	2+	C17:1D4	136,6
C₁₇⋊₂D₄ = C₁₇⋊D₄	φ: D₄/C₂² → C₂ ⊆ Aut C₁₇	68	2	C17:2D4	136,8

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁