Finite Group Databasebeta

← Group #486115

Character table — Group #486115

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222222244444444442222224444444442244444448888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111-1-1-1-111-1-111-1-1111-1-1-1-111-111111-11-11111-1-1-1-1-1-1
χ61111111111111-1-1-1-111-1-111-1-1111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1111111
χ71111111111111-1-1-1-111-1-1-1-1111-1-111-1-111-11111-11-11-1-1-1-11111-1-1
χ81111111111111-1-1-1-111-1-1-1-1111-1-111-1-111-1-1-1-1-1-11-111111-1-1-1-111
χ91111-1-111-1-1-1-1-1111111-1-111-1-1-1-1-111-1-11111-11-11-1-1111-1-111-1-11-1
χ101111-1-111-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1111-11-111-1-11-1-111-1-111-11
χ111111-1-111-1-1-1-1-1111111-1-1-1-111-111-1-1-1-11111-11-1-111-1-1-111-1-1111-1
χ121111-1-111-1-1-1-1-1111111-1-1-1-111-111-1-1-1-1111-11-11-111-111-1-111-1-1-11
χ131111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-11-11-111-1-111-1-1-1-111-11
χ141111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-11-1111-1-1-1-11111-1-11-1
χ151111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-11-11-1-1-111-1-11111-1-1-11
χ161111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-11-11-1-11111-1-1-1-1111-1
χ1722222222222-2-20000-2-2000022-20022002-2000000-20-20000000000
χ1822222222222-2-20000-2-20000-2-2-200-2-2002-20000002020000000000
χ19222222222-2-2220000-2-2002200-2220000-2200000-20-200000000000
χ20222222222-2-2220000-2-200-2-200-2-2-20000-220000020200000000000
χ21222222222-2-2-2-2222222-2-200002000022-2-2-2000000000000000000
χ22222222222-2-2-2-2-2-2-2-22222000020000-2-2-2-22000000000000000000
χ232222-2-222-22222222222220000-20000-2-2-2-2-2000000000000000000
χ242222-2-222-22222-2-2-2-222-2-20000-2000022-2-22000000000000000000
χ252222-2-222-222-2-20000-2-20022002-2-20000-2200000-20200000000000
χ262222-2-222-222-2-20000-2-200-2-2002220000-220000020-200000000000
χ272222-2-222-2-2-2220000-2-2000022200-2-2002-2000000-2020000000000
χ282222-2-222-2-2-2220000-2-20000-2-220022002-200000020-20000000000
χ292-22-2002-202i−2i2i−2i2i2i−2i−2i2-22-200000000000000000000002−2i2−i2i2−i22−200
χ302-22-2002-202i−2i2i−2i2i2i−2i−2i2-22-20000000000000000000000−22−i2i2−i2i2−2200
χ312-22-2002-202i−2i2i−2i−2i−2i2i2i2-2-2200000000000000000000002−2i2−i2−i2i2−2200
χ322-22-2002-202i−2i2i−2i−2i−2i2i2i2-2-220000000000000000000000−22−i2i2i2−i22−200
χ332-22-2002-20−2i2i−2i2i2i2i−2i−2i2-2-2200000000000000000000002−2−i2i2i2−i2−2200
χ342-22-2002-20−2i2i−2i2i2i2i−2i−2i2-2-220000000000000000000000−22i2−i2−i2i22−200
χ352-22-2002-20−2i2i−2i2i−2i−2i2i2i2-22-200000000000000000000002−2−i2i2−i2i22−200
χ362-22-2002-20−2i2i−2i2i−2i−2i2i2i2-22-20000000000000000000000−22i2−i2i2−i2−2200
χ37444444-4-4-4000000000000000000000000002-2-2200000000000000
χ38444444-4-4-400000000000000000000000000-222-200000000000000
χ394444-4-4-4-440000000000000000000000000022-2-200000000000000
χ404444-4-4-4-4400000000000000000000000000-2-22200000000000000
χ414-44-4004-404i−4i−4i4i0000-440000000000000000000000000000000000
χ424-44-4004-40−4i4i4i−4i0000-440000000000000000000000000000000000
χ434-4-444-400000002-22-200002-22-202-22-22-2000000000000000000000
χ444-4-444-400000002-22-20000-22-220-22-222-2000000000000000000000
χ454-4-444-40000000-22-2200002-2-2202-2-22-22000000000000000000000
χ464-4-444-40000000-22-220000-222-20-222-2-22000000000000000000000
χ474-4-44-4400000002-22-200002-2-220-222-2-22000000000000000000000
χ484-4-44-4400000002-22-20000-222-202-2-22-22000000000000000000000
χ494-4-44-440000000-22-2200002-22-20-22-222-2000000000000000000000
χ504-4-44-440000000-22-220000-22-2202-22-22-2000000000000000000000
χ5188-8-80000000004i−4i−4i4i000000000000000000000000000000000000
χ5288-8-8000000000−4i4i4i−4i000000000000000000000000000000000000
χ538-88-800-88000000000000000000000000000000000000000000000

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