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Properties

Modulus 2424
Structure C2×C2×C2C_{2}\times C_{2}\times C_{2}
Order 88

Learn more

Show commands: Pari/GP / SageMath

Copy content sage:H = DirichletGroup(24)
 
Copy content pari:g = idealstar(,24,2)
 

Character group

Copy content sage:G.order()
 
Copy content pari:g.no
 
Order = 8
Copy content sage:H.invariants()
 
Copy content pari:g.cyc
 
Structure = C2×C2×C2C_{2}\times C_{2}\times C_{2}
Copy content sage:H.gens()
 
Copy content pari:g.gen
 
Generators = χ24(7,⋅)\chi_{24}(7,\cdot), χ24(13,⋅)\chi_{24}(13,\cdot), χ24(17,⋅)\chi_{24}(17,\cdot)

Characters

Each row describes a character. When available, the columns show the orbit label, order of the character, whether the character is primitive, and several values of the character.

Character Orbit Order Primitive −1-1 11 55 77 1111 1313 1717 1919
χ24(1,⋅)\chi_{24}(1,\cdot) 24.a 1 no 11 11 11 11 11 11 11 11
χ24(5,⋅)\chi_{24}(5,\cdot) 24.h 2 yes −1-1 11 11 11 11 −1-1 −1-1 −1-1
χ24(7,⋅)\chi_{24}(7,\cdot) 24.g 2 no −1-1 11 11 −1-1 −1-1 11 11 −1-1
χ24(11,⋅)\chi_{24}(11,\cdot) 24.f 2 yes 11 11 11 −1-1 −1-1 −1-1 −1-1 11
χ24(13,⋅)\chi_{24}(13,\cdot) 24.d 2 no 11 11 −1-1 11 −1-1 −1-1 11 −1-1
χ24(17,⋅)\chi_{24}(17,\cdot) 24.e 2 no −1-1 11 −1-1 11 −1-1 11 −1-1 11
χ24(19,⋅)\chi_{24}(19,\cdot) 24.b 2 no −1-1 11 −1-1 −1-1 11 −1-1 11 11
χ24(23,⋅)\chi_{24}(23,\cdot) 24.c 2 no 11 11 −1-1 −1-1 11 11 −1-1 −1-1