Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×SD₃₂

Direct product G=N×Q with N=C₃ and Q=C₃×SD₃₂

		d	ρ	Label	ID
C₃²×SD₃₂		144		C3^2xSD32	288,330

Semidirect products G=N:Q with N=C₃ and Q=C₃×SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×SD₃₂) = C₃×C₄₈⋊C₂	φ: C₃×SD₃₂/C₄₈ → C₂ ⊆ Aut C₃	96	2	C3:1(C3xSD32)	288,234
C₃⋊₂(C₃×SD₃₂) = C₃×D₈.S₃	φ: C₃×SD₃₂/C₃×D₈ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xSD32)	288,261
C₃⋊₃(C₃×SD₃₂) = C₃×C₈.₆D₆	φ: C₃×SD₃₂/C₃×Q₁₆ → C₂ ⊆ Aut C₃	96	4	C3:3(C3xSD32)	288,262

Non-split extensions G=N.Q with N=C₃ and Q=C₃×SD₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×SD₃₂) = C₉×SD₃₂	central extension (φ=1)	144	2	C3.(C3xSD32)	288,62

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C3×SD32