Finite Group Databasebeta

← Group #265023

Character table — Group #265023

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444444444888888888881616161616161616161616161616161616163232
order12222244444422224448888882222448888822222444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11111111-1-1-1-11-1-11111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-111-1-111-1111-1-1-1-111-1-11-1
χ61111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-11-1-1-1-11111-1-111-11
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-11111-1-1-1-1-1-111-11
χ81111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-1-1111111-1-11-1
χ9111111111111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ10111111111111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1
χ11111111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-111111-1-11-1-111-1-11111-1-1
χ12111111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ13111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-11111-1-11111-11-1-1-1-111-1-1111-1
χ14111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-11111-1-111-11-1-11111-1-111-1-1-11
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1111111-1-11-111-1-1-1-11111-1-1-11
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11-11111-1-1-1-1111-1
χ1722222222-2-2-2-222222-2-20000000000-2-20000000000000002i−2i2i−2i000000
χ1822222222-2-2-2-222222-2-20000000000-2-2000000000000000−2i2i−2i2i000000
χ1922222222-2-2-2-2-2-2-2-22-2-20000000000220000000000000002i−2i−2i2i000000
χ2022222222-2-2-2-2-2-2-2-22-2-2000000000022000000000000000−2i2i2i−2i000000
χ21222222-2-222220000-2-2-22222-2-2222200-2000000000-2-20000000000000
χ22222222-2-222220000-2-2-22222-2-2-2-2-2-200-2000000000220000000000000
χ23222222-2-222220000-2-2-2-2-2-2-22222-2-2002000000000-220000000000000
χ24222222-2-222220000-2-2-2-2-2-2-222-2-2220020000000002-20000000000000
χ252222-2-22222-2-222-2-2-2-2200000000002-2000000000200-22-20000000000
χ262222-2-22222-2-222-2-2-2-2200000000002-2000000000-2002-220000000000
χ272222-2-22222-2-2-2-222-2-220000000000-22000000000200-2-220000000000
χ282222-2-22222-2-2-2-222-2-220000000000-22000000000-20022-20000000000
χ292222-2-222-2-22222-2-2-22-222-2-2220000-22-222-2-200000000000000000000
χ302222-2-222-2-22222-2-2-22-2-2-222-2-20000-222-2-22200000000000000000000
χ312222-2-222-2-222-2-222-22-222-2-22200002-2-2-2-22200000000000000000000
χ322222-2-222-2-222-2-222-22-2-2-222-2-200002-2222-2-200000000000000000000
χ332222-2-2-2-2-2-22200002-2222-2-2-2-2000000200002-22-20000000000000000
χ342222-2-2-2-2-2-22200002-2222-2-2-2-200000020000-22-220000000000000000
χ352222-2-2-2-2-2-22200002-22-2-22222000000-200002-2-220000000000000000
χ362222-2-2-2-2-2-22200002-22-2-22222000000-20000-222-20000000000000000
χ37444444-4-4-4-4-4-40000-4440000000000000000000000000000000000000
χ384444-4-4-4-444-4-4000044-40000000000000000000000000000000000000
χ394-44-4004-40000004-400022−220022−2200000000022−2200000000000000000000
χ404-44-4004-40000004-4000−222200−2222000000000−222200000000000000000000
χ414-44-4004-4000000-4400022−220022−22000000000−222200000000000000000000
χ424-44-4004-4000000-44000−222200−222200000000022−2200000000000000000000
χ434-44-400-4400004-40000022−2200−2222000000022−220000000000000000000000
χ444-44-400-4400004-400000−22220022−220000000−22220000000000000000000000
χ454-44-400-440000-440000022−2200−22220000000−22220000000000000000000000
χ464-44-400-440000-4400000−22220022−22000000022−220000000000000000000000
χ474-4-444-4004-44-40000000000000004-4000000000000000000000000000
χ484-4-444-4004-44-4000000000000000-44000000000000000000000000000
χ494-4-444-400-44-440000000000000000000000000000000000000022−220000
χ504-4-444-400-44-4400000000000000000000000000000000000000−22220000
χ514-4-44-44004-4-44000000000000000000000000000000000000000022−2200
χ524-4-44-44004-4-440000000000000000000000000000000000000000−222200
χ534-4-44-4400-444-400000000000004-400000000000000000000000000000
χ544-4-44-4400-444-40000000000000-4400000000000000000000000000000
χ5588-8-80000000000000000042−42000000000000000000000000000000000
χ5688-8-800000000000000000−4242000000000000000000000000000000000

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