Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉⋊D₉

Direct product G=N×Q with N=C₃ and Q=C₉⋊D₉

		d	ρ	Label	ID
C₃×C₉⋊D₉		162		C3xC9:D9	486,134

Semidirect products G=N:Q with N=C₃ and Q=C₉⋊D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₉⋊D₉) = C₉²⋊₈S₃	φ: C₉⋊D₉/C₉² → C₂ ⊆ Aut C₃	243		C3:(C9:D9)	486,180

Non-split extensions G=N.Q with N=C₃ and Q=C₉⋊D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉⋊D₉) = C₉⋊D₂₇	φ: C₉⋊D₉/C₉² → C₂ ⊆ Aut C₃	243		C3.(C9:D9)	486,50
C₃.₂(C₉⋊D₉) = C₃.₂(C₉⋊D₉)	central stem extension (φ=1)	162		C3.2(C9:D9)	486,42

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Extensions 1→N→G→Q→1 with N=C3 and Q=C9⋊D9