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

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

		d	ρ	Label	ID
C₃:S₃xC₂₇		162		C3:S3xC27	486,161

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇.(C₃:S₃) = C₈₁:S₃	φ: C₃:S₃/C₃² → C₂ ⊆ Aut C₂₇	243		C27.(C3:S3)	486,60
C₂₇.₂(C₃:S₃) = He₃.₅C₁₈	central extension (φ=1)	81	3	C27.2(C3:S3)	486,164

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