Extensions 1→N→G→Q→1 with N=C₁₇ and Q=C₃⋊D₄

Direct product G=N×Q with N=C₁₇ and Q=C₃⋊D₄

		d	ρ	Label	ID
C₁₇×C₃⋊D₄		204	2	C17xC3:D4	408,24

Semidirect products G=N:Q with N=C₁₇ and Q=C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇⋊₁(C₃⋊D₄) = C₃⋊D₆₈	φ: C₃⋊D₄/Dic₃ → C₂ ⊆ Aut C₁₇	204	4+	C17:1(C3:D4)	408,11
C₁₇⋊₂(C₃⋊D₄) = C₅₁⋊D₄	φ: C₃⋊D₄/D₆ → C₂ ⊆ Aut C₁₇	204	4-	C17:2(C3:D4)	408,10
C₁₇⋊₃(C₃⋊D₄) = C₅₁⋊₇D₄	φ: C₃⋊D₄/C₂×C₆ → C₂ ⊆ Aut C₁₇	204	2	C17:3(C3:D4)	408,29

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁