Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₂₇:C₃

Direct product G=NxQ with N=C₃ and Q=C₂xC₂₇:C₃

		d	ρ	Label	ID
C₆xC₂₇:C₃		162		C6xC27:C3	486,208

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₂₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₂xC₂₇:C₃) = S₃xC₂₇:C₃	φ: C₂xC₂₇:C₃/C₂₇:C₃ → C₂ ⊆ Aut C₃	54	6	C3:(C2xC27:C3)	486,114

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₂₇:C₃

extension	φ:Q→Aut N	d	Label	ID
C₃.₁(C₂xC₂₇:C₃) = C₂xC₂₇:₂C₉	central extension (φ=1)	486	C3.1(C2xC27:C3)	486,71
C₃.₂(C₂xC₂₇:C₃) = C₂xC₃²:C₂₇	central extension (φ=1)	162	C3.2(C2xC27:C3)	486,72
C₃.₃(C₂xC₂₇:C₃) = C₂xC₉:C₂₇	central extension (φ=1)	486	C3.3(C2xC27:C3)	486,81

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC27:C3