Extensions 1→N→G→Q→1 with N=C₃×C₅₁ and Q=C₃

Direct product G=N×Q with N=C₃×C₅₁ and Q=C₃

		d	ρ	Label	ID
C₃²×C₅₁		459		C3^2xC51	459,5

Semidirect products G=N:Q with N=C₃×C₅₁ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₅₁)⋊C₃ = C₁₇×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₅₁	153	3	(C3xC51):C3	459,3

Non-split extensions G=N.Q with N=C₃×C₅₁ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₅₁).C₃ = C₁₇×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₅₁	153	3	(C3xC51).C3	459,4

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Extensions 1→N→G→Q→1 with N=C3×C51 and Q=C3