Finite Group Databasebeta

← Group #250708

Character table — Group #250708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244448888888888888816161616161616161616161616161616161616161632
order12222244444444222244444444882244444488888888888884
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-11111-1
χ3111111111111111111-1-11111-1-1111-11-1-111-1111-1-1-1-1-1-1-1-1-1-11
χ4111111111111111111-1-1-1-111-1-1-1-1-1111-111-1-1-1-1111111-1-1-1-1-1
χ51111111111111111-1-1111111111111-111-1-11-1-1111-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-111-1-11111-1-1-1-1-1-11-1-1111-1-1-11111-1-1-1-11
χ71111111111111111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-11-1-111111111-1
χ81111111111111111-1-1-1-1-1-111-1-1-1-1-11-11-1-1-1-111-111-1-1-1-111111
χ911111111111111-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-111-1-11
χ1011111111111111-1-11111-1-1-1-11111-1-11-1-1-1-1-111111-1-11111-1-1-1
χ1111111111111111-1-111-1-111-1-1-1-1-1-11-11-11-1-11-1-1-111-1-111-1-1111
χ1211111111111111-1-111-1-1-1-1-1-1-1-111-11111-1-11111-1-111-1-1-1-111-1
χ1311111111111111-1-1-1-11111-1-111-1-111-11-111-111-1-1-1-1-111-1-111-1
χ1411111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-111111-1-1-1-1111
χ1511111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1111111-11111-1-111-1-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-111111-1-11-1-1-1-11111-1-11
χ172222222222-2-2-2-222000022-2-20022-2000000000-200000000000
χ182222222222-2-2-2-2220000-2-2-2-200-2-22000000000200000000000
χ192222222222-2-2-2-2-2-20000222200-2-2-2000000000200000000000
χ202222222222-2-2-2-2-2-20000-2-22200222000000000-200000000000
χ21222222-2-2-2-2-2-22200222-200002-20000-2000000000000002-2000
χ22222222-2-2-2-2-2-2220022-220000-220000-200000000000000-22000
χ23222222-2-2-2-2-2-22200-2-22-200002-20000200000000000000-22000
χ24222222-2-2-2-2-2-22200-2-2-220000-2200002000000000000002-2000
χ252222-2-22-22-2-22-220000220000-2-200000002-20000000000002-20
χ262222-2-22-22-2-22-220000220000-2-20000000-22000000000000-220
χ272222-2-22-22-2-22-220000-2-200002200000002-2000000000000-220
χ282222-2-22-22-2-22-220000-2-20000220000000-220000000000002-20
χ292222-2-2-22-222-2-222-2002-2002-2-22000000200-200000000000000
χ302222-2-2-22-222-2-222-200-22002-22-2000000-200200000000000000
χ312222-2-2-22-222-2-22-22002-200-22-22000000-200200000000000000
χ322222-2-2-22-222-2-22-2200-2200-222-2000000200-200000000000000
χ332222-2-2-22-22-222-22-2000000-220000020-200000002-2000000000
χ342222-2-2-22-22-222-22-2000000-2200000-2020000000-22000000000
χ352222-2-2-22-22-222-2-220000002-20000020-20000000-22000000000
χ362222-2-2-22-22-222-2-220000002-200000-20200000002-2000000000
χ37444444-4-4-4-444-4-4000000000000000000000000000000000000
χ384444-4-44-44-44-44-4000000000000000000000000000000000000
χ3944-4-44-444-4-4000000000000000000000000000000022−220000000
χ4044-4-44-444-4-40000000000000000000000000000000−22220000000
χ4144-4-44-4-4-44400000000004i−4i0000000000000000000000000000
χ4244-4-44-4-4-4440000000000−4i4i0000000000000000000000000000
χ4344-4-4-444-4-4400000000000000004i−4i0000000000000000000000
χ4444-4-4-444-4-440000000000000000−4i4i0000000000000000000000
χ4544-4-4-44-444-40000000000000000000000000000000002i2−2i200000
χ4644-4-4-44-444-4000000000000000000000000000000000−2i22i200000
χ478-88-8000000000000000000000000000000002i2−2i2000000000000
χ488-88-800000000000000000000000000000000−2i22i2000000000000
χ498-8-880000000000004-400000000000000000000000000000000
χ508-8-88000000000000-4400000000000000000000000000000000

Here i is the imaginary unit (i² = −1).