Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×Dic₉

Direct product G=N×Q with N=C₃ and Q=C₂²×Dic₉

		d	ρ	Label	ID
C₂×C₆×Dic₉		144		C2xC6xDic9	432,372

Semidirect products G=N:Q with N=C₃ and Q=C₂²×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²×Dic₉) = C₂×S₃×Dic₉	φ: C₂²×Dic₉/C₂×Dic₉ → C₂ ⊆ Aut C₃	144		C3:1(C2^2xDic9)	432,308
C₃⋊₂(C₂²×Dic₉) = C₂²×C₉⋊Dic₃	φ: C₂²×Dic₉/C₂²×C₁₈ → C₂ ⊆ Aut C₃	432		C3:2(C2^2xDic9)	432,396

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×Dic₉) = C₂²×Dic₂₇	φ: C₂²×Dic₉/C₂²×C₁₈ → C₂ ⊆ Aut C₃	432		C3.(C2^2xDic9)	432,51

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22×Dic9