Finite Group Databasebeta

← Group #486202

Character table — Group #486202

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244224444444444444444444444442444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-11-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-1-1-111-1-11111-11-11-11-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-11-111111111-1-1
χ5111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-11-111-111111-1-1-1-1-1-1
χ6111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1111111
χ7111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-11111-1-1
χ8111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11-11-1-1-1-11111-1-1-1-111
χ9111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111-1-111-1-11111-1-111-1-11-1
χ10111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-11-1-111-111-1-111-1-111-11
χ11111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-111-1-1-111-1-1111-1
χ12111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1111-111-1-111-1-1-11
χ13111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-111-1-1-1-1111-1-1-1-111-11
χ14111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-11-1-11-1-11111-1-11-1
χ15111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-111-11-1-1-1-11111-1-1-11
χ16111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-11-1-1111-1-111-1-1-1-1111-1
χ172222222222-2-222222-2-2200220000-2-200-2-20000000-200000000000
χ182222222222-2-2-2-2-2-22-2-2200-2-200002200-2-20000000200000000000
χ1922222222-2-22200002-2-2-2220022000000-22000000-20-20000000000
χ2022222222-2-22200002-2-2-2-2-200-2-2000000-220000002020000000000
χ2122222222-2-2-2-20000222-20000002200222-200-20-200000000000000
χ2222222222-2-2-2-20000222-2000000-2-200-2-22-20020200000000000000
χ23222222-2-222222222-222-200-2-200002200-2-20000000-200000000000
χ24222222-2-22222-2-2-2-2-222-200220000-2-200-2-20000000200000000000
χ25222222-2-2-2-2220000-2-2-220000002200-2-22-20020-200000000000000
χ26222222-2-2-2-2220000-2-2-22000000-2-200222-200-20200000000000000
χ27222222-2-2-2-2-2-20000-22222200-2-2000000-2200000020-20000000000
χ28222222-2-2-2-2-2-20000-2222-2-20022000000-22000000-2020000000000
χ292-22-2-22002-22i−2i2i2i−2i−2i02i−2i0000000002-200000000000002−2i2−i2i2−i22−200
χ302-22-2-22002-22i−2i2i2i−2i−2i02i−2i0000000002-20000000000000−22−i2i2−i2i2−2200
χ312-22-2-22002-22i−2i−2i−2i2i2i02i−2i000000000-2200000000000002−2i2−i2−i2i2−2200
χ322-22-2-22002-22i−2i−2i−2i2i2i02i−2i000000000-220000000000000−22−i2i2i2−i22−200
χ332-22-2-22002-2−2i2i2i2i−2i−2i0−2i2i000000000-2200000000000002−2−i2i2i2−i2−2200
χ342-22-2-22002-2−2i2i2i2i−2i−2i0−2i2i000000000-220000000000000−22i2−i2−i2i22−200
χ352-22-2-22002-2−2i2i−2i−2i2i2i0−2i2i0000000002-200000000000002−2−i2i2−i2i22−200
χ362-22-2-22002-2−2i2i−2i−2i2i2i0−2i2i0000000002-20000000000000−22i2−i2i2−i2−2200
χ374444-4-44400000000-400000000000000000220-20-20000000000000
χ384444-4-44400000000-400000000000000000-2-202020000000000000
χ394444-4-4-4-4000000004000000000000000002-20-2020000000000000
χ404444-4-4-4-400000000400000000000000000-22020-20000000000000
χ414-44-4-4400-444i−4i00000−4i4i0000000000000000000000000000000000
χ424-44-4-4400-44−4i4i000004i−4i0000000000000000000000000000000000
χ434-4-44004i−4i00002i−2i2i−2i00002i−2i2-22-22-2002i−2i000000000000000000000
χ444-4-44004i−4i00002i−2i2i−2i0000−2i2i2-2-22-2200−2i2i000000000000000000000
χ454-4-44004i−4i0000−2i2i−2i2i00002i−2i-222-2-2200−2i2i000000000000000000000
χ464-4-44004i−4i0000−2i2i−2i2i0000−2i2i-22-222-2002i−2i000000000000000000000
χ474-4-4400−4i4i00002i−2i2i−2i00002i−2i-22-222-200−2i2i000000000000000000000
χ484-4-4400−4i4i00002i−2i2i−2i0000−2i2i-222-2-22002i−2i000000000000000000000
χ494-4-4400−4i4i0000−2i2i−2i2i00002i−2i2-2-22-22002i−2i000000000000000000000
χ504-4-4400−4i4i0000−2i2i−2i2i0000−2i2i2-22-22-200−2i2i000000000000000000000
χ5188-8-8000000004-4-440000000000000000000000000000000000000
χ5288-8-800000000-444-40000000000000000000000000000000000000
χ538-88-88-800000000000000000000000000000000000000000000000

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