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

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

		d	ρ	Label	ID
C₃xC₁₀₂		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 = C₃xD₅₁	φ: C₆/C₃ → C₂ ⊆ Aut C₅₁	102	2	C51:1C6	306,7
C₅₁:₂C₆ = C₃²xD₁₇	φ: C₆/C₃ → C₂ ⊆ Aut C₅₁	153		C51:2C6	306,5
C₅₁:₃C₆ = S₃xC₅₁	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 = C₉xD₁₇	φ: C₆/C₃ → C₂ ⊆ Aut C₅₁	153	2	C51.C6	306,2

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