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
D₉×C₃×C₉		54		D9xC3xC9	486,91

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₉×D₉) = C₉×C₉⋊S₃	φ: C₉×D₉/C₉² → C₂ ⊆ Aut C₃	54		C3:(C9xD9)	486,133

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₉×D₉) = C₉⋊S₃⋊C₉	φ: C₉×D₉/C₉² → C₂ ⊆ Aut C₃	54		C3.1(C9xD9)	486,3
C₃.₂(C₉×D₉) = C₉×D₂₇	φ: C₉×D₉/C₉² → C₂ ⊆ Aut C₃	54	2	C3.2(C9xD9)	486,13
C₃.₃(C₉×D₉) = C₂₇⋊₃C₁₈	φ: C₉×D₉/C₉² → C₂ ⊆ Aut C₃	54	6	C3.3(C9xD9)	486,15
C₃.₄(C₉×D₉) = D₉×C₂₇	central extension (φ=1)	54	2	C3.4(C9xD9)	486,14

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