Finite Group Databasebeta

← Group #176813

Character table — Group #176813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422444444442444444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111-1-111-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11111-1-111-1-1-1-11-11-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11111-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-111-1-1-1-1-1-11-1-11-11-111111-1-1-1-11111-1-1
χ8111111111111111111-1-111-1-1-1-1-1-11-1-11-11-11-1-1-1-11111-1-1-1-111
χ9111111111-1-1-1-11111111-1-111-1-1-1-111-1-1-111-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-11111111-1-111-1-1-1-111-1-1-111-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-11111111-1-1-1-1-1-111-11-111-1-1111-1-1-1-111-1-1111-1
χ12111111111-1-1-1-11111111-1-1-1-1-1-111-11-111-1-11-1-11111-1-111-1-1-11
χ13111111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-11
χ14111111111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-11-1
χ15111111111-1-1-1-111111-1-1-1-1-1-111111-11-111-1-111-1-1-1-11111-1-1-11
χ16111111111-1-1-1-111111-1-1-1-1-1-111111-11-111-1-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-2002-2000000200-20-20200000000000000
χ1822222222222-2-2-2-2-22-2002-2000000-2002020-200000000000000
χ19222222222-2-222-2-2-22-200-2200000020020-20-200000000000000
χ20222222222-2-222-2-2-22-200-22000000-200-2020200000000000000
χ2122222222-222222-2-2-2200-2-22200220000-20-2000000000000000
χ2222222222-222222-2-2-2200-2-2-2-200-2-20000202000000000000000
χ2322222222-222-2-2-222-2-222-220022000-2-20000000000000000000
χ2422222222-222-2-2-222-2-2-2-2-2200-2-2000220000000000000000000
χ2522222222-2-2-222-222-2-2222-200-2-2000-220000000000000000000
χ2622222222-2-2-222-222-2-2-2-22-200220002-20000000000000000000
χ2722222222-2-2-2-2-22-2-2-2200222200-2-2000020-2000000000000000
χ2822222222-2-2-2-2-22-2-2-220022-2-200220000-202000000000000000
χ294444-4-4-4-440000000-4000000000000000000022−22000000000000
χ304444-4-4-4-440000000-40000000000000000000−2222000000000000
χ314444-4-4-4-4-4000000040000000000000000000002i2−2i20000000000
χ324444-4-4-4-4-400000004000000000000000000000−2i22i20000000000
χ3344-4-44-44-404i−4i000000000000000000000000000002-22i−2i000000
χ3444-4-44-44-404i−4i00000000000000000000000000000-22−2i2i000000
χ3544-4-44-44-40−4i4i000000000000000000000000000002-2−2i2i000000
χ3644-4-44-44-40−4i4i00000000000000000000000000000-222i−2i000000
χ374-44-444-4-40004-400000000000000000000000000000002i−2i2i−2i00
χ384-44-444-4-40004-40000000000000000000000000000000−2i2i−2i2i00
χ394-44-444-4-4000-4400000000000000000000000000000002i−2i−2i2i00
χ404-44-444-4-4000-440000000000000000000000000000000−2i2i2i−2i00
χ414-44-4-4-4440000004-4000000004-4000000000000000000000000
χ424-44-4-4-4440000004-400000000-44000000000000000000000000
χ434-44-4-4-444000000-44004-4000000000000000000000000000000
χ444-44-4-4-444000000-4400-44000000000000000000000000000000
χ454-4-44-444-4000004000-4000000004i−4i0000000000000000000000
χ464-4-44-444-4000004000-400000000−4i4i0000000000000000000000
χ474-4-44-444-400000-4000400004-400000000000000000000000000
χ484-4-44-444-400000-400040000-4400000000000000000000000000
χ4988-8-8-88-88000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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