Finite Group Databasebeta

← Group #512010

Character table — Group #512010

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222244444444444444444444444444444488888888888888816161616323232323232
order12222244442222444444444444444444444444442244444444444444444444488
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-111111111-1-111-1-1
χ6111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-111-1-111
χ7111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ9111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-11-11-11-1
χ10111111-1-1-1-11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-111-11-11-11
χ11111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-11-1-11-11
χ12111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-111-1-111-111-11-1
χ13111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-111-1-1-111-1-11
χ14111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1111-1-111-1
χ15111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-111-1-11111-1-1-11-111-1
χ16111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-1-1-1-1-1-111-1-111-1-1111-11-1-11
χ1722222222222-22-2-2000022220000222200000000-2002-2-2000000-2-2-2-20000000000
χ1822222222222-22-2-20000-2-2-2-20000-2-2-2-200000000-2002-2-200000022220000000000
χ192222222222-22-22-2222200002222000000000000-200-22-200-2-2-2-200000000000000
χ202222222222-22-22-2-2-2-2-20000-2-2-2-2000000000000-200-22-200222200000000000000
χ212222222222-2-2-2-220000000000000000222222222-2-2-2-22-2-2000000000000000000
χ222222222222-2-2-2-220000000000000000-2-2-2-2-2-2-2-2222-2-2222000000000000000000
χ23222222-2-2-2-22-22-2-2000022220000-2-2-2-200000000-200-222000000-2-2220000000000
χ24222222-2-2-2-22-22-2-20000-2-2-2-20000222200000000-200-22200000022-2-20000000000
χ25222222-2-2-2-2-22-22-222220000-2-2-2-2000000000000-2002-2200-2-22200000000000000
χ26222222-2-2-2-2-22-22-2-2-2-2-200002222000000000000-2002-220022-2-200000000000000
χ27222222-2-2-2-2-2-2-2-2200000000000000002222-2-2-2-22-2-222-222000000000000000000
χ28222222-2-2-2-2-2-2-2-220000000000000000-2-2-2-2222222222-2-2-2000000000000000000
χ2922-2-22-2000022-2-2222-2-222-2-20000000022-2-20000-22-2000002-2002-2000000000000
χ3022-2-22-2000022-2-2222-2-2-2-22200000000-2-2220000-2-22000002-200-22000000000000
χ3122-2-22-2000022-2-22-2-22222-2-200000000-2-2220000-2-2200000-22002-2000000000000
χ3222-2-22-2000022-2-22-2-222-2-2220000000022-2-20000-22-200000-2200-22000000000000
χ3322-2-22-200002-2-22-2000022-2-22i2i−2i−2i000000002i2i−2i−2i2000002i−2i002i−2i-22000000000000
χ3422-2-22-200002-2-22-2000022-2-2−2i−2i2i2i00000000−2i−2i2i2i200000−2i2i00−2i2i-22000000000000
χ3522-2-22-200002-2-22-20000-2-2222i2i−2i−2i00000000−2i−2i2i2i200000−2i2i002i−2i2-2000000000000
χ3622-2-22-200002-2-22-20000-2-222−2i−2i2i2i000000002i2i−2i−2i2000002i−2i00−2i2i2-2000000000000
χ3722-2-22-20000-222-2-222-2-2000000002i2i−2i−2i00002i2i−2i−2i200000−2i2i-2200002i−2i0000000000
χ3822-2-22-20000-222-2-222-2-200000000−2i−2i2i2i0000−2i−2i2i2i2000002i−2i-220000−2i2i0000000000
χ3922-2-22-20000-222-2-2-2-222000000002i2i−2i−2i0000−2i−2i2i2i2000002i−2i2-200002i−2i0000000000
χ4022-2-22-20000-222-2-2-2-22200000000−2i−2i2i2i00002i2i−2i−2i200000−2i2i2-20000−2i2i0000000000
χ4122-2-22-20000-2-2222000000002i2i−2i−2i2i2i−2i−2i22-2-20000-2-220000000−2i2i00−2i2i0000000000
χ4222-2-22-20000-2-2222000000002i2i−2i−2i−2i−2i2i2i-2-2220000-22-20000000−2i2i002i−2i0000000000
χ4322-2-22-20000-2-222200000000−2i−2i2i2i2i2i−2i−2i-2-2220000-22-200000002i−2i00−2i2i0000000000
χ4422-2-22-20000-2-222200000000−2i−2i2i2i−2i−2i2i2i22-2-20000-2-2200000002i−2i002i−2i0000000000
χ454444-4-444-4-40000000000000000000000000000000000000000000002-22-2000000
χ464444-4-444-4-4000000000000000000000000000000000000000000000-22-22000000
χ474444-4-4-4-4440000000000000000000000000000000000000000000002-2-22000000
χ484444-4-4-4-444000000000000000000000000000000000000000000000-222-2000000
χ494-44-400004-4000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-22-22-22-200000000000000000000000000
χ504-44-400004-4000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i-22-22-22-2200000000000000000000000000
χ514-44-400004-400000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i-22-22-22-2200000000000000000000000000
χ524-44-400004-400000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-22-22-22-200000000000000000000000000
χ534-44-40000-44000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2-22-2-22-2200000000000000000000000000
χ544-44-40000-44000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i-22-222-22-200000000000000000000000000
χ554-44-40000-4400000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i-22-222-22-200000000000000000000000000
χ564-44-40000-4400000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i2-22-2-22-2200000000000000000000000000
χ574-4-44004i−4i00000002i−2i−2i2i2i−2i−2i2i2-2-222-2-222-2-22−2i2i2i−2i00000000000000000000000000
χ584-4-44004i−4i00000002i−2i−2i2i−2i2i2i−2i2-2-22-222-2-222-22i−2i−2i2i00000000000000000000000000
χ594-4-44004i−4i0000000−2i2i2i−2i2i−2i−2i2i-222-22-2-22-222-22i−2i−2i2i00000000000000000000000000
χ604-4-44004i−4i0000000−2i2i2i−2i−2i2i2i−2i-222-2-222-22-2-22−2i2i2i−2i00000000000000000000000000
χ614-4-4400−4i4i00000002i−2i−2i2i2i−2i−2i2i-222-2-222-22-2-222i−2i−2i2i00000000000000000000000000
χ624-4-4400−4i4i00000002i−2i−2i2i−2i2i2i−2i-222-22-2-22-222-2−2i2i2i−2i00000000000000000000000000
χ634-4-4400−4i4i0000000−2i2i2i−2i2i−2i−2i2i2-2-22-222-2-222-2−2i2i2i−2i00000000000000000000000000
χ644-4-4400−4i4i0000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-222-2-222i−2i−2i2i00000000000000000000000000
χ6588-8-8-8800000000000000000000000000000000000000000000000000000000000

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