Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃⋊C₃₂

Direct product G=N×Q with N=C₃ and Q=C₃⋊C₃₂

		d	ρ	Label	ID
C₃×C₃⋊C₃₂		96	2	C3xC3:C32	288,64

Semidirect products G=N:Q with N=C₃ and Q=C₃⋊C₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃⋊C₃₂) = C₄₈.S₃	φ: C₃⋊C₃₂/C₄₈ → C₂ ⊆ Aut C₃	288		C3:(C3:C32)	288,65

Non-split extensions G=N.Q with N=C₃ and Q=C₃⋊C₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃⋊C₃₂) = C₉⋊C₃₂	φ: C₃⋊C₃₂/C₄₈ → C₂ ⊆ Aut C₃	288	2	C3.(C3:C32)	288,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C3⋊C32