Finite Group Databasebeta

← Group #502793

Character table — Group #502793

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444444444444444444442244444444444888844
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1
χ5111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1111111-1-1-1-1-1-1
χ6111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ7111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1
χ8111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-111
χ9111111-1-111111111-111-1-1-111-1-1-1-11111-1-11-11-11-1-11-111-1-111-1-11-1
χ10111111-1-111111111-111-1-1-111-1-1-1-11111-1-1-111-1-11-11-1-1-111-1-111-11
χ11111111-1-111111111-111-1-1-1-1-111-1-111-1-1111-1-111-1-1-11-1-111-1-1111-1
χ12111111-1-111111111-111-1-1-1-1-111-1-111-1-111-11-11-11-1-1111-1-111-1-1-11
χ13111111-1-11111-1-1-1-1-111-1-1-111-1-111-1-1-1-1111-1-111-111-111-1-1-1-111-11
χ14111111-1-11111-1-1-1-1-111-1-1-111-1-111-1-1-1-111-11-11-1111-1-1-11111-1-11-1
χ15111111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-111-1-11-11-11-11-11-1-11111-1-1-11
χ16111111-1-11111-1-1-1-1-111-1-1-1-1-11111-1-111-1-1-111-1-111-1111-1-1-1-1111-1
χ17222222222-2-2222222-2-2-22-2000022-2-20000000000-2000000000000
χ18222222222-2-22-2-2-2-22-2-2-22-20000-2-22200000000002000000000000
χ1922222222-222-200002-2-2-2-222222000000000000000-2-20000000000
χ2022222222-222-200002-2-2-2-22-2-2-2-2000000000000000220000000000
χ2122222222-2-2-2-200002222-2-200000000222200-2-2000000000000000
χ2222222222-2-2-2-200002222-2-200000000-2-2-2-20022000000000000000
χ23222222-2-22-2-222222-2-2-22-220000-2-2-2-200000000002000000000000
χ24222222-2-22-2-22-2-2-2-2-2-2-22-22000022220000000000-2000000000000
χ25222222-2-2-222-20000-2-2-222-222-2-2000000000000000-220000000000
χ26222222-2-2-222-20000-2-2-222-2-2-2220000000000000002-20000000000
χ27222222-2-2-2-2-2-20000-222-2220000000022-2-200-22000000000000000
χ28222222-2-2-2-2-2-20000-222-22200000000-2-222002-2000000000000000
χ292-2-222-20022-2-22i2i−2i−2i02-20000000002i−2i0000000000000002i−2i002-200
χ302-2-222-20022-2-22i2i−2i−2i02-20000000002i−2i000000000000000−2i2i00-2200
χ312-2-222-20022-2-2−2i−2i2i2i02-2000000000−2i2i0000000000000002i−2i00-2200
χ322-2-222-20022-2-2−2i−2i2i2i02-2000000000−2i2i000000000000000−2i2i002-200
χ332-2-222-2002-22-22i2i−2i−2i0-22000000000−2i2i00000000000002i−2i002-20000
χ342-2-222-2002-22-22i2i−2i−2i0-22000000000−2i2i0000000000000−2i2i00-220000
χ352-2-222-2002-22-2−2i−2i2i2i0-220000000002i−2i00000000000002i−2i00-220000
χ362-2-222-2002-22-2−2i−2i2i2i0-220000000002i−2i0000000000000−2i2i002-20000
χ374444-4-44400000000-4000000000000000002200-2-20000000000000
χ384444-4-44400000000-400000000000000000-2-200220000000000000
χ394444-4-4-4-4000000004000000000000000002-200-220000000000000
χ404444-4-4-4-400000000400000000000000000-22002-20000000000000
χ414-44-4004-400002i−2i2i−2i0000002-22-22i−2i002i−2i2i−2i0000000000000000000
χ424-44-4004-400002i−2i2i−2i000000-22-222i−2i00−2i2i−2i2i0000000000000000000
χ434-44-4004-40000−2i2i−2i2i0000002-22-2−2i2i00−2i2i−2i2i0000000000000000000
χ444-44-4004-40000−2i2i−2i2i000000-22-22−2i2i002i−2i2i−2i0000000000000000000
χ454-44-400-4400002i−2i2i−2i0000002-2-22−2i2i002i−2i−2i2i0000000000000000000
χ464-44-400-4400002i−2i2i−2i000000-222-2−2i2i00−2i2i2i−2i0000000000000000000
χ474-44-400-440000−2i2i−2i2i0000002-2-222i−2i00−2i2i2i−2i0000000000000000000
χ484-44-400-440000−2i2i−2i2i000000-222-22i−2i002i−2i−2i2i0000000000000000000
χ494-4-444-400-44-4400000-440000000000000000000000000000000000
χ504-4-444-400-4-444000004-40000000000000000000000000000000000
χ5188-8-8000000004-4-440000000000000000000000000000000000000
χ5288-8-800000000-444-40000000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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