Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×D₂₇

Direct product G=N×Q with N=C₃ and Q=C₃×D₂₇

		d	ρ	Label	ID
C₃²×D₂₇		162		C3^2xD27	486,111

Semidirect products G=N:Q with N=C₃ and Q=C₃×D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×D₂₇) = C₃×C₂₇⋊S₃	φ: C₃×D₂₇/C₃×C₂₇ → C₂ ⊆ Aut C₃	162		C3:(C3xD27)	486,160

Non-split extensions G=N.Q with N=C₃ and Q=C₃×D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×D₂₇) = C₃²⋊D₂₇	φ: C₃×D₂₇/C₃×C₂₇ → C₂ ⊆ Aut C₃	81		C3.1(C3xD27)	486,17
C₃.₂(C₃×D₂₇) = C₃×D₈₁	φ: C₃×D₂₇/C₃×C₂₇ → C₂ ⊆ Aut C₃	162	2	C3.2(C3xD27)	486,32
C₃.₃(C₃×D₂₇) = C₈₁⋊C₆	φ: C₃×D₂₇/C₃×C₂₇ → C₂ ⊆ Aut C₃	81	6+	C3.3(C3xD27)	486,34
C₃.₄(C₃×D₂₇) = C₉×D₂₇	central extension (φ=1)	54	2	C3.4(C3xD27)	486,13

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