Extensions 1→N→G→Q→1 with N=C₉ and Q=SD₃₂

Direct product G=N×Q with N=C₉ and Q=SD₃₂

		d	ρ	Label	ID
C₉×SD₃₂		144	2	C9xSD32	288,62

Semidirect products G=N:Q with N=C₉ and Q=SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁SD₃₂ = C₁₄₄⋊C₂	φ: SD₃₂/C₁₆ → C₂ ⊆ Aut C₉	144	2	C9:1SD32	288,7
C₉⋊₂SD₃₂ = D₈.D₉	φ: SD₃₂/D₈ → C₂ ⊆ Aut C₉	144	4-	C9:2SD32	288,34
C₉⋊₃SD₃₂ = C₉⋊SD₃₂	φ: SD₃₂/Q₁₆ → C₂ ⊆ Aut C₉	144	4+	C9:3SD32	288,35

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁