Extensions 1→N→G→Q→1 with N=C₃² and Q=D₂₇

Direct product G=N×Q with N=C₃² and Q=D₂₇

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

Semidirect products G=N:Q with N=C₃² and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁D₂₇ = C₃²⋊D₂₇	φ: D₂₇/C₉ → S₃ ⊆ Aut C₃²	81		C3^2:1D27	486,17
C₃²⋊₂D₂₇ = C₃²⋊₂D₂₇	φ: D₂₇/C₉ → S₃ ⊆ Aut C₃²	54	6	C3^2:2D27	486,51
C₃²⋊₃D₂₇ = C₃×C₂₇⋊S₃	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₃²	162		C3^2:3D27	486,160
C₃²⋊₄D₂₇ = C₃²⋊₄D₂₇	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₃²	243		C3^2:4D27	486,184

Non-split extensions G=N.Q with N=C₃² and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².D₂₇ = C₈₁⋊C₆	φ: D₂₇/C₉ → S₃ ⊆ Aut C₃²	81	6+	C3^2.D27	486,34
C₃².₂D₂₇ = C₃×D₈₁	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₃²	162	2	C3^2.2D27	486,32
C₃².₃D₂₇ = C₈₁⋊S₃	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₃²	243		C3^2.3D27	486,60

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