Finite Group Databasebeta

← Group #486171

Character table — Group #486171

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222222244444444442222444444444442444444448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-1111-1-1-1-11111-1-1-11-1-1-1-1-111111111-1-1
χ51111111111111-1-1-1-11111-1-11-1-111-1-1-1-111111-111-11-11111-1-1-1-1-1-1
χ61111111111111-1-1-1-11111-1-11-1-111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1111111
χ71111111111111-1-1-1-111-1-1111-1-1-1-111-1-111111-11-11-11-1-1-1-11111-1-1
χ81111111111111-1-1-1-111-1-1111-1-1-1-111-1-111-1-1-1-1-1-11-111111-1-1-1-111
χ91111-1-111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111-111-1-1-11111-1-111-1-11-1
χ101111-1-111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-11-111-1-111-1-111-1-111-11
χ111111-1-111-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1111-111-111-1-1-1-111-1-1111-1
χ121111-1-111-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-111-11-11111-1-111-1-111-1-1-11
χ131111-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111111-11-1-1-111-111-1-1-1-111-11
χ141111-1-111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-11-1-11-111-1-1-11111-1-11-1
χ151111-1-111-1-1-1-1-1-1-1-1-111-1-111-11111-1-111111-11-1-11-1-11-1-11111-1-1-11
χ161111-1-111-1-1-1-1-1-1-1-1-111-1-111-11111-1-11111-11-1-111-1-1111-1-1-1-1111-1
χ1722222222222-2-20000-2-20022-2000022002-2000000-20-20000000000
χ1822222222222-2-20000-2-200-2-2-20000-2-2002-20000002020000000000
χ19222222222-2-2220000-2-22200-200220000-2200000-20-200000000000
χ20222222222-2-2220000-2-2-2-200-200-2-20000-220000020200000000000
χ21222222222-2-2-2-222222200002-2-2000022-2-2000-2000000000000000
χ22222222222-2-2-2-2-2-2-2-22200002220000-2-2-2-20002000000000000000
χ232222-2-222-222222222220000-2220000-2-2-2-2000-2000000000000000
χ242222-2-222-22222-2-2-2-2220000-2-2-2000022-2-20002000000000000000
χ252222-2-222-222-2-20000-2-22200200-2-20000-220000020-200000000000
χ262222-2-222-222-2-20000-2-2-2-200200220000-2200000-20200000000000
χ272222-2-222-2-2-2220000-2-2002220000-2-2002-200000020-20000000000
χ282222-2-222-2-2-2220000-2-200-2-22000022002-2000000-2020000000000
χ292-22-200-2202i−2i2i−2i22-2-22-2000002i−2i000000000000000002−2i2−i22−2i2−i200
χ302-22-200-2202i−2i2i−2i22-2-22-2000002i−2i00000000000000000−22−i2i2−22−i2i200
χ312-22-200-2202i−2i2i−2i-2-2222-200000−2i2i000000000000000002−2i2−i2−22−i2i200
χ322-22-200-2202i−2i2i−2i-2-2222-200000−2i2i00000000000000000−22−i2i22−2i2−i200
χ332-22-200-220−2i2i−2i2i22-2-22-200000−2i2i000000000000000002−2−i2i22−2−i2i200
χ342-22-200-220−2i2i−2i2i22-2-22-200000−2i2i00000000000000000−22i2−i2−22i2−i200
χ352-22-200-220−2i2i−2i2i-2-2222-2000002i−2i000000000000000002−2−i2i2−22i2−i200
χ362-22-200-220−2i2i−2i2i-2-2222-2000002i−2i00000000000000000−22i2−i22−2−i2i200
χ37444444-4-4-400000000000000000000000002-2-20200000000000000
χ38444444-4-4-40000000000000000000000000-2220-200000000000000
χ394444-4-4-4-44000000000000000000000000022-20-200000000000000
χ404444-4-4-4-440000000000000000000000000-2-220200000000000000
χ414-44-400-4404i−4i−4i4i0000-440000000000000000000000000000000000
χ424-44-400-440−4i4i4i−4i0000-440000000000000000000000000000000000
χ434-4-444-400000002-22-2002-22-20002-22-22-2000000000000000000000
χ444-4-444-400000002-22-200-22-22000-22-222-2000000000000000000000
χ454-4-444-40000000-22-22002-2-220002-2-22-22000000000000000000000
χ464-4-444-40000000-22-2200-222-2000-222-2-22000000000000000000000
χ474-4-44-4400000002-22-2002-22-2000-22-22-22000000000000000000000
χ484-4-44-4400000002-22-200-22-220002-22-2-22000000000000000000000
χ494-4-44-440000000-22-22002-2-22000-222-22-2000000000000000000000
χ504-4-44-440000000-22-2200-222-20002-2-222-2000000000000000000000
χ5188-8-80000000004-4-44000000000000000000000000000000000000
χ5288-8-8000000000-444-4000000000000000000000000000000000000
χ538-88-8008-8000000000000000000000000000000000000000000000

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