Finite Group Databasebeta

← Group #500970

Character table — Group #500970

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244444444444224444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111-1-11111-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111-1-11111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ511111111111111111-1-1-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-1-1-11111-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-111-1-11111-1-111
χ811111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ9111111-1-111-1-1-111111111-1-111-1-1-1-111-1-11-1-11-11-11-111-1-11-11-1
χ10111111-1-111-1-1-111111111-1-111-1-1-1-111-1-1-11-1-11-11-1111-1-1-11-11
χ11111111-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-111-1-11-1-1111-1-11
χ12111111-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1111-1-111-1-1-111-111-1
χ13111111-1-111-1-1-11111-1-1-1-11111-1-11111-1-11-1-11-11-11-1-1-111-11-11
χ14111111-1-111-1-1-11111-1-1-1-11111-1-11111-1-1-11-1-11-11-11-1-1111-11-1
χ15111111-1-111-1-1-11111-1-1-1-111-1-1-1-111-1-1111-11-111-1-1111-1-1-111-1
χ16111111-1-111-1-1-11111-1-1-1-111-1-1-1-111-1-111-1111-1-111-111-1-11-1-11
χ17222222222-22-2-2-2-22-2000000002-20000000002200-2-200000000
χ18222222222-22-2-2-2-22-2000000002-2000000000-2-2002200000000
χ1922222222-222-2-2-2-2-2200000000-2200000022000-2-20000000000
χ2022222222-222-2-2-2-2-2200000000-22000000-2-2000220000000000
χ2122222222-2-222222-2-200000022-2-200-2-2-2-200200000000000000
χ2222222222-2-222222-2-2000000-2-2-2-200222200-200000000000000
χ23222222-2-22-2-222-2-22-200000000-220000000002-200-2200000000
χ24222222-2-22-2-222-2-22-200000000-22000000000-22002-200000000
χ25222222-2-2-22-222-2-2-22000000002-20000002-2000-220000000000
χ26222222-2-2-22-222-2-2-22000000002-2000000-220002-20000000000
χ27222222-2-2-2-2-2-2-222-2-2000000222200-2-22200-200000000000000
χ28222222-2-2-2-2-2-2-222-2-2000000-2-2220022-2-200200000000000000
χ2922-2-22-200220002-2-2-22-22-2002-200002-2000000000002-2000000
χ3022-2-22-200220002-2-2-22-22-200-220000-2200000000000-22000000
χ3122-2-22-200220002-2-2-2-22-22002-200002-200000000000-22000000
χ3222-2-22-200220002-2-2-2-22-2200-220000-22000000000002-2000000
χ3322-2-22-200-2-20002-22200002i−2i2-2002i−2i-2200000000000002i−2i0000
χ3422-2-22-200-2-20002-22200002i−2i-22002i−2i2-20000000000000−2i2i0000
χ3522-2-22-200-2-20002-2220000−2i2i2-200−2i2i-220000000000000−2i2i0000
χ3622-2-22-200-2-20002-2220000−2i2i-2200−2i2i2-200000000000002i−2i0000
χ374444-4-44400-400000022-2-2220000-2-2000000000000000000000
χ384444-4-44400-4000000-2-222-2-2000022000000000000000000000
χ394444-4-4-4-400400000022-2-2-2-2000022000000000000000000000
χ404444-4-4-4-4004000000-2-222220000-2-2000000000000000000000
χ4144-4-44-4004-4000-44-44000000000000000000000000000000000
χ4244-4-44-400-44000-444-4000000000000000000000000000000000
χ4344-4-4-44000004i−4i00002-2-222i−2i0000−2i2i000000000000000000000
χ4444-4-4-44000004i−4i0000-222-2−2i2i00002i−2i000000000000000000000
χ4544-4-4-4400000−4i4i00002-2-22−2i2i00002i−2i000000000000000000000
χ4644-4-4-4400000−4i4i0000-222-22i−2i0000−2i2i000000000000000000000
χ478-88-8008-8000000000000000000000000000000000000000000
χ488-88-800-88000000000000000000000000000000000000000000
χ498-8-880000000000000000000000000004i−4i00000000000000000
χ508-8-88000000000000000000000000000−4i4i00000000000000000

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