Finite Group Databasebeta

← Group #285085

Character table — Group #285085

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444444488882444888888888888224444448888888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-11
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-111-111-111-1-111-1-1-1-1-111-1
χ51111111111111111111-1-1-1-1111111111111-111-1-1-111-1-1-1-11-1-1-11-1
χ61111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1111-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1111-1-11-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-111-111
χ9111111111111111-1-1-1-1111111-1-111-1-111-1-11-1-11-1-1-1-1-1-1-1-111111-1
χ10111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11
χ11111111111111111-1-1-1-11111-1-111-1-11111-1-1-111-111-1-1-1-111111-1-1-1
χ12111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1111
χ13111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-111111-1-1-111
χ14111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-1111111-1111-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111-1-11-1-11-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-11111111-1-1-111-11-1
χ1722222222-22-22-2-2-200002-22-22200-2-2000000200-200000000000000
χ1822222222-22-22-2-2-200002-22-2-2-20022000000-200200000000000000
χ1922222222-22-22-2-2-20000-22-222200-2-2000000-200200000000000000
χ2022222222-22-22-2-2-20000-22-22-2-20022000000200-200000000000000
χ21222222-2-2-2-2-2-22-2200000000002i−2i002i−2i000000002-200000002i−2i000
χ22222222-2-2-2-2-2-22-2200000000002i−2i002i−2i00000000-220000000−2i2i000
χ23222222-2-2-2-2-2-22-220000000000−2i2i00−2i2i000000002-20000000−2i2i000
χ24222222-2-2-2-2-2-22-220000000000−2i2i00−2i2i00000000-2200000002i−2i000
χ252222-2-22-22-2222-2-200000000002200-2-222000-22000000000-200000
χ262222-2-22-22-2222-2-200000000002200-2-2-2-20002-2000000000200000
χ272222-2-22-22-2222-2-20000000000-2-20022220002-2000000000-200000
χ282222-2-22-22-2222-2-20000000000-2-20022-2-2000-22000000000200000
χ292222-2-2-22222-2-2-2222222-2-220000000000-2-200000000-2200000000
χ302222-2-2-22222-2-2-222222-222-20000000000-2-2000000002-200000000
χ312222-2-2-22222-2-2-22-2-2-2-22-2-22000000000022000000002-200000000
χ322222-2-2-22222-2-2-22-2-2-2-2-222-200000000002200000000-2200000000
χ332222-2-2-22-22-2-222-2000022-2-2002i−2i00−2i2i000000000000002i−2i000000
χ342222-2-2-22-22-2-222-2000022-2-200−2i2i002i−2i00000000000000−2i2i000000
χ352222-2-2-22-22-2-222-20000-2-222002i−2i00−2i2i00000000000000−2i2i000000
χ362222-2-2-22-22-2-222-20000-2-22200−2i2i002i−2i000000000000002i−2i000000
χ37444444-4-44-44-4-44-400000000000000000000000000000000000000
χ384444-4-44-4-4-4-44-44400000000000000000000000000000000000000
χ394-44-44-44-4040-40002222−22−220000000000000022−22000000000000000000
χ404-44-44-44-4040-4000−22−22222200000000000000−2222000000000000000000
χ414-44-44-4-440-4040000000000000004i−4i000000000000000000000000
χ424-44-44-4-440-404000000000000000−4i4i000000000000000000000000
χ434-44-4-44440-40-4000000000004-40000000000000000000000000000
χ444-44-4-44440-40-400000000000-440000000000000000000000000000
χ454-44-4-44-4-404040002222−22−2200000000000000−2222000000000000000000
χ464-44-4-44-4-40404000−22−2222220000000000000022−22000000000000000000
χ474-4-440000-404000022−2222−2200000000000022−22000000002-20000000000
χ484-4-440000-404000022−2222−22000000000000−222200000000-220000000000
χ494-4-440000-4040000−2222−222200000000000022−2200000000-220000000000
χ504-4-440000-4040000−2222−2222000000000000−2222000000002-20000000000
χ5188-8-8000000000004-4-440000000000000000000000000000000000
χ5288-8-800000000000-444-40000000000000000000000000000000000
χ538-8-88000080-8000000000000000000000000000000000000000000

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