Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³×D₉

Direct product G=N×Q with N=C₃ and Q=C₂³×D₉

		d	ρ	Label	ID
D₉×C₂²×C₆		144		D9xC2^2xC6	432,556

Semidirect products G=N:Q with N=C₃ and Q=C₂³×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³×D₉) = C₂²×S₃×D₉	φ: C₂³×D₉/C₂²×D₉ → C₂ ⊆ Aut C₃	72		C3:1(C2^3xD9)	432,544
C₃⋊₂(C₂³×D₉) = C₂³×C₉⋊S₃	φ: C₂³×D₉/C₂²×C₁₈ → C₂ ⊆ Aut C₃	216		C3:2(C2^3xD9)	432,560

Non-split extensions G=N.Q with N=C₃ and Q=C₂³×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³×D₉) = C₂³×D₂₇	φ: C₂³×D₉/C₂²×C₁₈ → C₂ ⊆ Aut C₃	216		C3.(C2^3xD9)	432,227

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C23×D9