Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₇:S₃

Direct product G=NxQ with N=C₃ and Q=C₂₇:S₃

		d	ρ	Label	ID
C₃xC₂₇:S₃		162		C3xC27:S3	486,160

Semidirect products G=N:Q with N=C₃ and Q=C₂₇:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₂₇:S₃) = C₃²:₄D₂₇	φ: C₂₇:S₃/C₃xC₂₇ → C₂ ⊆ Aut C₃	243		C3:(C27:S3)	486,184

Non-split extensions G=N.Q with N=C₃ and Q=C₂₇:S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂₇:S₃) = C₉:D₂₇	φ: C₂₇:S₃/C₃xC₂₇ → C₂ ⊆ Aut C₃	243		C3.1(C27:S3)	486,50
C₃.₂(C₂₇:S₃) = C₈₁:S₃	φ: C₂₇:S₃/C₃xC₂₇ → C₂ ⊆ Aut C₃	243		C3.2(C27:S3)	486,60
C₃.₃(C₂₇:S₃) = C₃²:₂D₂₇	central stem extension (φ=1)	54	6	C3.3(C27:S3)	486,51

Extensions 1→N→G→Q→1 with N=C3 and Q=C27:S3