Finite Group Databasebeta

← Group #512137

Character table — Group #512137

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122444444444444888888888888888888888888816161616323232323232
order12222222224444444422222444444444444444444442444444488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ6111111111111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ8111111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ91111111111-1-1111111-111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-11-11-1
χ101111111111-1-1111111-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-11-11-11-11-11
χ111111111111-1-1111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111-11-11-1-11-11
χ121111111111-1-1111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-11-11-111-11-1
χ131111111111-1-1-1-1-1-111-111-1-111-1-1-1-11111-1-1-1-111-1-1111-11-1-11-111-1
χ141111111111-1-1-1-1-1-111-111-1-111-1-1-1-11111-1-1-1-111-1-111-11-111-11-1-11
χ151111111111-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-11-11-1-111-1-11
χ161111111111-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-11111-1-1-11-111-1-111-1
χ1722222222-2-2220000-2-2-20000002-2222200000000-2-2-2-20000000000
χ1822222222-2-2220000-2-2-20000002-2-2-2-2-20000000022220000000000
χ1922222222-2-2-2-20000-2-22000000-2222-2-200000000-2-2220000000000
χ2022222222-2-2-2-20000-2-22000000-22-2-2220000000022-2-20000000000
χ21222222-2-222222222-2-2-2000022-2200000000-2-2-2-200000000000000
χ22222222-2-22222-2-2-2-2-2-2-20000-2-2-2200000000222200000000000000
χ23222222-2-222-2-22222-2-220000-2-22-200000000-2-22200000000000000
χ24222222-2-222-2-2-2-2-2-2-2-220000222-20000000022-2-200000000000000
χ25222222-2-2-2-2220000222222200-2-20000-2-2-2-2000000000000000000
χ26222222-2-2-2-2220000222-2-2-2-200-2-200002222000000000000000000
χ27222222-2-2-2-2-2-2000022-222-2-200220000-2-222000000000000000000
χ28222222-2-2-2-2-2-2000022-2-2-2220022000022-2-2000000000000000000
χ292-22-22-22-22-20000002-20002-22i−2i002i−2i00002-2002i−2i2i−2i000000000000
χ302-22-22-22-22-20000002-20002-2−2i2i00−2i2i00002-200−2i2i−2i2i000000000000
χ312-22-22-22-22-20000002-2000-222i−2i00−2i2i0000-22002i−2i−2i2i000000000000
χ322-22-22-22-22-20000002-2000-22−2i2i002i−2i0000-2200−2i2i2i−2i000000000000
χ332-22-22-22-2-22002i2i−2i−2i-2202-20000002i−2i002-2002i−2i00−2i2i000000000000
χ342-22-22-22-2-22002i2i−2i−2i-220-22000000−2i2i00-22002i−2i002i−2i000000000000
χ352-22-22-22-2-2200−2i−2i2i2i-2202-2000000−2i2i002-200−2i2i002i−2i000000000000
χ362-22-22-22-2-2200−2i−2i2i2i-220-220000002i−2i00-2200−2i2i00−2i2i000000000000
χ372-22-22-2-222-2000000-2202-2002i−2i00002i−2i-220000−2i2i002i−2i0000000000
χ382-22-22-2-222-2000000-2202-200−2i2i0000−2i2i-2200002i−2i00−2i2i0000000000
χ392-22-22-2-222-2000000-220-22002i−2i0000−2i2i2-20000−2i2i00−2i2i0000000000
χ402-22-22-2-222-2000000-220-2200−2i2i00002i−2i2-200002i−2i002i−2i0000000000
χ412-22-22-2-22-22002i2i−2i−2i2-20002-20000002i−2i00-22−2i2i0000−2i2i0000000000
χ422-22-22-2-22-22002i2i−2i−2i2-2000-22000000−2i2i002-2−2i2i00002i−2i0000000000
χ432-22-22-2-22-2200−2i−2i2i2i2-20002-2000000−2i2i00-222i−2i00002i−2i0000000000
χ442-22-22-2-22-2200−2i−2i2i2i2-2000-220000002i−2i002-22i−2i0000−2i2i0000000000
χ454444-4-400004-4000000000000000000000000000000022-2-2000000
χ464444-4-400004-40000000000000000000000000000000-2-222000000
χ474444-4-40000-4400000000000000000000000000000002-2-22000000
χ484444-4-40000-440000000000000000000000000000000-222-2000000
χ4988-8-8000000004i−4i4i−4i0000000000000000000000000000000000000
χ5088-8-800000000−4i4i−4i4i0000000000000000000000000000000000000
χ518-88-8-8800000000000000000000000000000000000000000000000
χ528-8-88000000004-4-440000000000000000000000000000000000000
χ538-8-8800000000-444-40000000000000000000000000000000000000

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