Extensions 1→N→G→Q→1 with N=C₂xC₅₄ and Q=C₃

Direct product G=NxQ with N=C₂xC₅₄ and Q=C₃

		d	ρ	Label	ID
C₆xC₅₄		324		C6xC54	324,84

Semidirect products G=N:Q with N=C₂xC₅₄ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₅₄):₁C₃ = A₄xC₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₂xC₅₄	108	3	(C2xC54):1C3	324,42
(C₂xC₅₄):₂C₃ = C₂₇:A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂xC₅₄	108	3	(C2xC54):2C3	324,43
(C₂xC₅₄):₃C₃ = C₂²xC₂₇:C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₂xC₅₄	108		(C2xC54):3C3	324,85

Non-split extensions G=N.Q with N=C₂xC₅₄ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₅₄).C₃ = C₂₇.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂xC₅₄	162	3	(C2xC54).C3	324,3

Extensions 1→N→G→Q→1 with N=C2xC54 and Q=C3