Finite Group Databasebeta

← Group #264017

Character table — Group #264017

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222444444444888888161616161616161616161616161616161616161616163232
order12224444244448888244488222244444488888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-111-1111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-11-1-11-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111-1-1-1-11111-11-1-1111-1-1-1-1-111-1-1-1-1-1-111
χ611111111111111111-1-1-1-11111-1-1-1-1-111-111-1-1-1-1111111-1-1
χ711111111111111111-1-1-1-111-1-111111-1-11-1-1-1-111-1-11111-1-1
χ811111111111111111-1-1-1-111-1-11-111-1-1-1111-1-1-1-111-1-1-1-111
χ91111111111111-1-1-1-11111-1-11-111-1111-1-1-1-1-1-1-1-11111-1-11-1
χ101111111111111-1-1-1-11111-1-11-11-1-11-11-1-111-1-111-1-1-1-111-11
χ111111111111111-1-1-1-11111-1-1-11-111-11-111-1-1-1-1-1-111-1-111-11
χ121111111111111-1-1-1-11111-1-1-11-1-11-1-1-11111-1-111-1-111-1-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1-11-1-111-111-111111-1-1-1-1-1-1111-1
χ141111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-11-11-1-111111111-1-1-11
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1111-111-11-11111-1-1-1-111-1-1-11
χ161111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1111111-1-1111-1
χ1722222222-2-22-2-222-2-22-22-2-220000000000002-20000000000
χ1822222222-2-22-2-222-2-2-22-22-22000000000000-220000000000
χ1922222222-2-22-2-2-2-2222-22-22-2000000000000-220000000000
χ2022222222-2-22-2-2-2-222-22-222-20000000000002-20000000000
χ212222-2-2222-2-22-222-2-200002-20020-2-2000200000000000000
χ222222-2-2222-2-22-222-2-200002-200-2022000-200000000000000
χ232222-2-2222-2-22-2-2-2220000-2200202-2000-200000000000000
χ242222-2-2222-2-22-2-2-2220000-2200-20-22000200000000000000
χ252222-2-222-22-2-2222220000-2-22-200000-22000000000000000
χ262222-2-222-22-2-2222220000-2-2-22000002-2000000000000000
χ272222-2-222-22-2-22-2-2-2-20000222200000-2-2000000000000000
χ282222-2-222-22-2-22-2-2-2-2000022-2-20000022000000000000000
χ292222-2-2-2-2222-2-200002-2-220000000000002i−2i002i−2i00000000
χ302222-2-2-2-2222-2-200002-2-22000000000000−2i2i00−2i2i00000000
χ312222-2-2-2-2222-2-20000-222-20000000000002i−2i00−2i2i00000000
χ322222-2-2-2-2222-2-20000-222-2000000000000−2i2i002i−2i00000000
χ332222-2-2-2-2-2-2222000022-2-200000200-20000000002-2000000
χ342222-2-2-2-2-2-2222000022-2-200000-2002000000000-22000000
χ352222-2-2-2-2-2-22220000-2-22200000200-2000000000-22000000
χ362222-2-2-2-2-2-22220000-2-22200000-20020000000002-2000000
χ37444444-4-44-4-4-440000000000000000000000000000000000
χ38444444-4-4-44-44-40000000000000000000000000000000000
χ394-44-4004-400000004i−4i0000000000000000000000002-22i−2i00
χ404-44-4004-400000004i−4i000000000000000000000000-22−2i2i00
χ414-44-4004-40000000−4i4i0000000000000000000000002-2−2i2i00
χ424-44-4004-40000000−4i4i000000000000000000000000-222i−2i00
χ4388-8-88i−8i00000000000000000000000000000000000000000
χ4488-8-8−8i8i00000000000000000000000000000000000000000
χ458-88-800-88000000000000000000000000000000000000000
χ468-8-8800000000042−4200000000000000000000000000000000
χ478-8-88000000000−424200000000000000000000000000000000

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