Finite Group Databasebeta

← Group #512021

Character table — Group #512021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444488888888888888888888888888816161616323232323232
order12222244444444442244444444444444444444444444444888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ61111111111111111-1-1-1-111-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ9111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-111-1-111-1-111-1-11-11-11-11-11-1
χ10111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-111-1-111-1-111-1-1-11-11-11-11-11
χ11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-11-11-1-11-11
χ12111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11-11-111-11-1
χ13111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1111-11-1-111-1-11
χ14111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-111-11-111-1-111-1
χ15111111-1-1-1-1111111-1-111-1-111-1-1-111-1-1-1-111-1-11111-1-11-11-1-11-111-1
χ16111111-1-1-1-1111111-1-111-1-111-1-1-111-1-1-1-111-1-11111-1-1-11-111-11-1-11
χ1722222222222-2-22-2-2000000222-2-2002200000000-2-2-2-20000000000
χ1822222222222-2-22-2-2000000-2-22-2-200-2-20000000022220000000000
χ192222222222-22-2-22-200002200-22-222000000-2-2-2-200000000000000
χ202222222222-22-2-22-20000-2-200-22-2-2-2000000222200000000000000
χ212222222222-2-22-2-2222220000-2-220000-2-2-2-2000000000000000000
χ222222222222-2-22-2-22-2-2-2-20000-2-2200002222000000000000000000
χ23222222-2-2-2-22-2-22-2-200000022-22200-2-200000000-2-2220000000000
χ24222222-2-2-2-22-2-22-2-2000000-2-2-22200220000000022-2-20000000000
χ25222222-2-2-2-2-22-2-22-2000022002-22-2-2000000-2-22200000000000000
χ26222222-2-2-2-2-22-2-22-20000-2-2002-222200000022-2-200000000000000
χ27222222-2-2-2-2-2-22-2-2222-2-2000022-20000-2-222000000000000000000
χ28222222-2-2-2-2-2-22-2-22-2-222000022-2000022-2-2000000000000000000
χ2922-2-22-20000222-2-2-22-2002-22-200000002-2002-2002-2000000000000
χ3022-2-22-20000222-2-2-22-200-22-2200000002-200-2200-22000000000000
χ3122-2-22-20000222-2-2-2-22002-2-220000000-22002-200-22000000000000
χ3222-2-22-20000222-2-2-2-2200-222-20000000-2200-22002-2000000000000
χ3322-2-22-200002-2-2-222002i−2i002-20002i−2i00002i−2i002i−2i-22000000000000
χ3422-2-22-200002-2-2-222002i−2i00-22000−2i2i00002i−2i00−2i2i2-2000000000000
χ3522-2-22-200002-2-2-22200−2i2i002-2000−2i2i0000−2i2i00−2i2i-22000000000000
χ3622-2-22-200002-2-2-22200−2i2i00-220002i−2i0000−2i2i002i−2i2-2000000000000
χ3722-2-22-20000-22-22-22002i−2i2-200000002i−2i00−2i2i-2200002i−2i0000000000
χ3822-2-22-20000-22-22-22002i−2i-220000000−2i2i00−2i2i2-20000−2i2i0000000000
χ3922-2-22-20000-22-22-2200−2i2i2-20000000−2i2i002i−2i-220000−2i2i0000000000
χ4022-2-22-20000-22-22-2200−2i2i-2200000002i−2i002i−2i2-200002i−2i0000000000
χ4122-2-22-20000-2-2222-22-20000000002i−2i2i−2i-220000−2i2i00−2i2i0000000000
χ4222-2-22-20000-2-2222-22-2000000000−2i2i−2i2i-2200002i−2i002i−2i0000000000
χ4322-2-22-20000-2-2222-2-220000000002i−2i−2i2i2-20000−2i2i002i−2i0000000000
χ4422-2-22-20000-2-2222-2-22000000000−2i2i2i−2i2-200002i−2i00−2i2i0000000000
χ454444-4-444-4-400000000000000000000000000000000022-2-2000000
χ464444-4-444-4-4000000000000000000000000000000000-2-222000000
χ474444-4-4-4-4440000000000000000000000000000000002-2-22000000
χ484444-4-4-4-444000000000000000000000000000000000-222-2000000
χ4988-8-8-8800000000000000000000000000000000000000000000000
χ508-88-8008-8000000000000000000000000000000000000000000000
χ518-88-800-88000000000000000000000000000000000000000000000
χ528-8-8800008i−8i0000000000000000000000000000000000000000000
χ538-8-880000−8i8i0000000000000000000000000000000000000000000

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