Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉xD₉

Direct product G=NxQ with N=C₃ and Q=C₉xD₉

		d	ρ	Label	ID
D₉xC₃xC₉		54		D9xC3xC9	486,91

Semidirect products G=N:Q with N=C₃ and Q=C₉xD₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₉xD₉) = C₉xC₉:S₃	φ: C₉xD₉/C₉² → C₂ ⊆ Aut C₃	54		C3:(C9xD9)	486,133

Non-split extensions G=N.Q with N=C₃ and Q=C₉xD₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₉xD₉) = C₉:S₃:C₉	φ: C₉xD₉/C₉² → C₂ ⊆ Aut C₃	54		C3.1(C9xD9)	486,3
C₃.₂(C₉xD₉) = C₉xD₂₇	φ: C₉xD₉/C₉² → C₂ ⊆ Aut C₃	54	2	C3.2(C9xD9)	486,13
C₃.₃(C₉xD₉) = C₂₇:₃C₁₈	φ: C₉xD₉/C₉² → C₂ ⊆ Aut C₃	54	6	C3.3(C9xD9)	486,15
C₃.₄(C₉xD₉) = D₉xC₂₇	central extension (φ=1)	54	2	C3.4(C9xD9)	486,14

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