Finite Group Databasebeta

← Group #255258

Character table — Group #255258

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111111-1-11-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-111111-1-11-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111111-1-111-11-1-11-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-111111-1-111-11-1-11-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111-1-1-1-1111-1-1-1-1-1-111-11-111111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-1111-1-1-1-1-1-111-11-11-1-1-1-11111-1-1-1-11111
χ91111111111111-1-11111111-1-1-1-1-111-1-1-11-1-11111-1-111-1-111-1-111-1-1
χ101111111111111-1-11111111-1-1-1-1-111-1-1-11-1-111-1-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-1-1-1-1-1-111-1111-111-1-111-1-1-1-111-1-111
χ121111111111111-1-111111-1-1-1-1-1-1-1-1-1-111-1111-1-1-111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-111-1-1-111111-11-1-11-1-111-1-1-1-111-1-11111-1-1
χ141111111111111-1-1111-1-111-1-1-111111-11-1-11-1-1-1-11111-1-111-1-1-1-111
χ151111111111111-1-1111-1-1-1-1-1-1-111-1-111-111-1-1111-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-111-1-111-111-1-11-1-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-222002-2-22200-200000-200000000000000000
χ18222222222222-222-2-2-2-2-2002-2-2-2-200200000200000000000000000
χ19222222222222-2-2-2-2-2-22200-222-2-200200000-200000000000000000
χ20222222222222-2-2-2-2-2-2-2-200-2222200-200000200000000000000000
χ2122222222-2-2-2-2222-2-220022-22-200-2-20-20020000000000000000000
χ2222222222-2-2-2-2222-2-2200-2-2-22-200220200-20000000000000000000
χ2322222222-2-2-2-22-2-2-2-2200222-2200-2-20200-20000000000000000000
χ2422222222-2-2-2-22-2-2-2-2200-2-22-2200220-20020000000000000000000
χ2522222222-2-2-2-2-22222-20000-2-220000002-20-2020000000000000000
χ2622222222-2-2-2-2-22222-20000-2-22000000-22020-20000000000000000
χ2722222222-2-2-2-2-2-2-222-2000022-2000000220-20-20000000000000000
χ2822222222-2-2-2-2-2-2-222-2000022-2000000-2-202020000000000000000
χ292-2-2-2222-22-22-22002-2-2002-2000002-200000000002i−2i00000000002i−2i
χ302-2-2-2222-22-22-22002-2-2002-2000002-20000000000−2i2i0000000000−2i2i
χ312-2-2-2222-22-22-22002-2-200-2200000-2200000000002i−2i0000000000−2i2i
χ322-2-2-2222-22-22-22002-2-200-2200000-220000000000−2i2i00000000002i−2i
χ332-2-2-2222-2-22-22200-22-2002-200000-22000000002i−2i00000000002i−2i00
χ342-2-2-2222-2-22-22200-22-2002-200000-2200000000−2i2i0000000000−2i2i00
χ352-2-2-2222-2-22-22200-22-200-22000002-2000000002i−2i0000000000−2i2i00
χ362-2-2-2222-2-22-22200-22-200-22000002-200000000−2i2i00000000002i−2i00
χ37444-4-44-4-444-4-40000004-4000000000000000000000000000000000
χ38444-4-44-4-444-4-4000000-44000000000000000000000000000000000
χ39444-4-44-4-4-4-44400000000000004i−4i00000000000000000000000000
χ40444-4-44-4-4-4-4440000000000000−4i4i00000000000000000000000000
χ414-44-4-4-444000004-4000000000000000000000000002-22-200000000
χ424-44-4-4-444000004-400000000000000000000000000-22-2200000000
χ434-44-4-4-44400000-44000000000000000000000000002-2-2200000000
χ444-44-4-4-44400000-4400000000000000000000000000-222-200000000
χ454-4-44-44-444-4-440000000000000000000000000000000000022−220000
χ464-4-44-44-444-4-4400000000000000000000000000000000000−22220000
χ474-4-44-44-44-444-400000000000000000000000000000000022−22000000
χ484-4-44-44-44-444-4000000000000000000000000000000000−2222000000
χ494-4-4-4444-44-44-4-400-44400000000000000000000000000000000000
χ504-4-4-4444-4-44-44-4004-4400000000000000000000000000000000000
χ5188-88-8-88-8000000000000000000000000000000000000000000000
χ5288-8-88-8-88000000000000000000000000000000000000000000000
χ538-8888-8-8-8000000000000000000000000000000000000000000000

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