Extensions 1→N→G→Q→1 with N=C₂×C₅₄ and Q=C₃

Direct product G=N×Q with N=C₂×C₅₄ and Q=C₃

		d	ρ	Label	ID
C₆×C₅₄		324		C6xC54	324,84

Semidirect products G=N:Q with N=C₂×C₅₄ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₄)⋊₁C₃ = A₄×C₂₇	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₅₄	108	3	(C2xC54):1C3	324,42
(C₂×C₅₄)⋊₂C₃ = C₂₇⋊A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₅₄	108	3	(C2xC54):2C3	324,43
(C₂×C₅₄)⋊₃C₃ = C₂²×C₂₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₅₄	108		(C2xC54):3C3	324,85

Non-split extensions G=N.Q with N=C₂×C₅₄ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₄).C₃ = C₂₇.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂×C₅₄	162	3	(C2xC54).C3	324,3

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Extensions 1→N→G→Q→1 with N=C2×C54 and Q=C3