Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×D₉

Direct product G=N×Q with N=C₃ and Q=C₂²×D₉

		d	ρ	Label	ID
C₂×C₆×D₉		72		C2xC6xD9	216,108

Semidirect products G=N:Q with N=C₃ and Q=C₂²×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²×D₉) = C₂×S₃×D₉	φ: C₂²×D₉/D₁₈ → C₂ ⊆ Aut C₃	36	4+	C3:1(C2^2xD9)	216,101
C₃⋊₂(C₂²×D₉) = C₂²×C₉⋊S₃	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₃	108		C3:2(C2^2xD9)	216,112

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×D₉) = C₂²×D₂₇	φ: C₂²×D₉/C₂×C₁₈ → C₂ ⊆ Aut C₃	108		C3.(C2^2xD9)	216,23

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22×D9