Extensions 1→N→G→Q→1 with N=C₅₁ and Q=C₆

Direct product G=N×Q with N=C₅₁ and Q=C₆

		d	ρ	Label	ID
C₃×C₁₀₂		306		C3xC102	306,10

Semidirect products G=N:Q with N=C₅₁ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₁⋊₁C₆ = C₃×D₅₁	φ: C₆/C₃ → C₂ ⊆ Aut C₅₁	102	2	C51:1C6	306,7
C₅₁⋊₂C₆ = C₃²×D₁₇	φ: C₆/C₃ → C₂ ⊆ Aut C₅₁	153		C51:2C6	306,5
C₅₁⋊₃C₆ = S₃×C₅₁	φ: C₆/C₃ → C₂ ⊆ Aut C₅₁	102	2	C51:3C6	306,6

Non-split extensions G=N.Q with N=C₅₁ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₁.C₆ = C₉×D₁₇	φ: C₆/C₃ → C₂ ⊆ Aut C₅₁	153	2	C51.C6	306,2

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Extensions 1→N→G→Q→1 with N=C51 and Q=C6