Finite Group Databasebeta

← Group #272283

Character table — Group #272283

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444448888888888888888816161616161616161616161616161616163232
order12222244444422444222244444888888882224488888888888828
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-1
χ311111111111111111111-1-1-111-111-1-1111111-11-1111-1-1-1-1-1-1-1-1-11-1
χ411111111111111111111-1-1-111-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-11111-11
χ5111111111111111111-1-111111111-1-11111-1-11-111-1-111-1-1-1-1-111-1-1
χ6111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-111-1-111
χ7111111111111111111-1-1-1-1-111-111111111-1-1-1-1-11-1-1-1-111111-1-1-11
χ8111111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1111-1
χ9111111111111-1-1111-111111-1-111111-1-1-1-1-1-1-11-11-1-1111-1-1-1-1-1-111
χ10111111111111-1-1111-111111-1-11-1-1111111-1-1-11-1-111-1-11-1-11111-1-1
χ11111111111111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1
χ12111111111111-1-1111-111-1-1-1-1-1-1-1-1-1-11111-1-1111-11111-111-1-1-1-1-11
χ13111111111111-1-1111-1-1-1111-1-1111-1-1-1-1-1-111-1-1-111111-11111-1-1-1-1
χ14111111111111-1-1111-1-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-11111
χ15111111111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-11111-1-11-1-1-1-111-11
χ16111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1111-1-111-1-11-1
χ1722222222-2-2-2-2222-2-2200000-2-2000000000000000002i−2i000002i−2i00
χ1822222222-2-2-2-2222-2-2200000-2-200000000000000000−2i2i00000−2i2i00
χ1922222222-2-2-2-2-2-22-2-2-20000022000000000000000002i−2i00000−2i2i00
χ2022222222-2-2-2-2-2-22-2-2-2000002200000000000000000−2i2i000002i−2i00
χ21222222-2-2222200-2-2-20222-2-200200220000000-2000000-200000000
χ22222222-2-2222200-2-2-2022-22200-200-2-20000000-2000000200000000
χ23222222-2-2222200-2-2-20-2-22-2-200200-2-200000002000000200000000
χ24222222-2-2222200-2-2-20-2-2-22200-2002200000002000000-200000000
χ252222-2-22222-2-222-2-22-2000002-20220022-2-200000-20000000000000
χ262222-2-22222-2-222-2-22-2000002-20-2-200-2-2220000020000000000000
χ272222-2-22222-2-2-2-2-2-22200000-2202200-2-22200000-20000000000000
χ282222-2-22222-2-2-2-2-2-22200000-220-2-20022-2-20000020000000000000
χ292222-2-222-2-22222-22-2-2002-22-22-2000000000020-200000000000000
χ302222-2-222-2-22222-22-2-200-22-2-2220000000000-20200000000000000
χ312222-2-222-2-222-2-2-22-22002-222-2-20000000000-20200000000000000
χ322222-2-222-2-222-2-2-22-2200-22-22-22000000000020-200000000000000
χ332222-2-2-2-2-2-222002-2200022-200-2000000002-20000000002-2000000
χ342222-2-2-2-2-2-222002-2200022-200-200000000-22000000000-22000000
χ352222-2-2-2-2-2-222002-22000-2-22002000000002-2000000000-22000000
χ362222-2-2-2-2-2-222002-22000-2-2200200000000-220000000002-2000000
χ37444444-4-4-4-4-4-400-444000000000000000000000000000000000000
χ384444-4-4-4-444-4-40044-4000000000000000000000000000000000000
χ394-44-400-4400004-400000000000022−220022−22000000000000000000000
χ404-44-400-4400004-4000000000000−222200−2222000000000000000000000
χ414-44-400-440000-4400000000000022−2200−2222000000000000000000000
χ424-44-400-440000-44000000000000−22220022−22000000000000000000000
χ434-4-444-4004-44-4000000000000000000000000000022−2200000000000
χ444-4-444-4004-44-40000000000000000000000000000−222200000000000
χ454-4-444-400-44-4400000000000000004-400000000000000000000000
χ464-4-444-400-44-440000000000000000-4400000000000000000000000
χ474-4-44-44004-4-440000004-4000000000000000000000000000000000
χ484-4-44-44004-4-44000000-44000000000000000000000000000000000
χ494-4-44-4400-444-40000000000000000000000000000000000022−220000
χ504-4-44-4400-444-400000000000000000000000000000000000−22220000
χ5188-8-800000000000000000000000000004-40000000000000000000
χ5288-8-80000000000000000000000000000-440000000000000000000
χ538-88-8008-8000000000000000000000000000000000000000000000

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