Extensions 1→N→G→Q→1 with N=C₂₇ and Q=C₃xC₆

Direct product G=NxQ with N=C₂₇ and Q=C₃xC₆

		d	ρ	Label	ID
C₃²xC₅₄		486		C3^2xC54	486,207

Semidirect products G=N:Q with N=C₂₇ and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇:(C₃xC₆) = C₃xC₂₇:C₆	φ: C₃xC₆/C₃ → C₆ ⊆ Aut C₂₇	54	6	C27:(C3xC6)	486,113
C₂₇:₂(C₃xC₆) = C₆xC₂₇:C₃	φ: C₃xC₆/C₆ → C₃ ⊆ Aut C₂₇	162		C27:2(C3xC6)	486,208
C₂₇:₃(C₃xC₆) = C₃²xD₂₇	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₂₇	162		C27:3(C3xC6)	486,111

Non-split extensions G=N.Q with N=C₂₇ and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇.₁(C₃xC₆) = C₂xC₈₁:C₃	central extension (φ=1)	162	3	C27.1(C3xC6)	486,84
C₂₇.₂(C₃xC₆) = C₂xC₂₇oHe₃	central extension (φ=1)	162	3	C27.2(C3xC6)	486,209

Extensions 1→N→G→Q→1 with N=C27 and Q=C3xC6