Finite Group Databasebeta

← Group #264018

Character table — Group #264018

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222444444444888888161616161616161616161616161616161616161616163232
order12224444244448888244488224444444488888888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111-11111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111-1-1-1-1111111-1-11-1-11-1-1-1-111-1-11111-1-1
χ611111111111111111-1-1-1-1111-111-1-11-1-1-111-1-1-1-111-1-1-1-111
χ711111111111111111-1-1-1-111-11-1-111-1111-1-1-1-111-1-1-1-1-1-111
χ811111111111111111-1-1-1-111-1-1-1-111-111-111-1-1-1-1111111-1-1
χ91111111111111-1-1-1-11111-1-111-1-11-111-11-1-1-1-1-1-11111-1-11-1
χ101111111111111-1-1-1-11111-1-11-1-1-11-111-1-111-1-111-1-1-1-111-11
χ111111111111111-1-1-1-11111-1-1-1111-11-1-111-1-1-1-1-1-111-1-111-11
χ121111111111111-1-1-1-11111-1-1-1-111-11-1-11-111-1-111-1-111-1-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1111111-1-1-1-111-1-1-11
χ141111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-11-1-1-1111111-1-1111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11-111111-1-1-1-1-1-1111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111111111-1-1-11
χ1722222222-2-22-2-222-2-22-2-22-220000000000002-20000000000
χ1822222222-2-22-2-222-2-2-222-2-22000000000000-220000000000
χ1922222222-2-22-2-2-2-2222-2-222-2000000000000-220000000000
χ2022222222-2-22-2-2-2-222-222-22-20000000000002-20000000000
χ212222-2-2222-2-2-2222-2-200002-2202-200-200000000000000000
χ222222-2-2222-2-2-2222-2-200002-2-20-2200200000000000000000
χ232222-2-2222-2-2-22-2-2220000-2220-2200-200000000000000000
χ242222-2-2222-2-2-22-2-2220000-22-202-200200000000000000000
χ252222-2-222-22-22-222220000-2-200002-20-22000000000000000
χ262222-2-222-22-22-222220000-2-20000-2202-2000000000000000
χ272222-2-222-22-22-2-2-2-2-20000220000220-2-2000000000000000
χ282222-2-222-22-22-2-2-2-2-20000220000-2-2022000000000000000
χ292222-2-2-2-2222-2-2000022-2-20000000000002i−2i002i−2i00000000
χ302222-2-2-2-2222-2-2000022-2-2000000000000−2i2i00−2i2i00000000
χ312222-2-2-2-2222-2-20000-2-2220000000000002i−2i00−2i2i00000000
χ322222-2-2-2-2222-2-20000-2-222000000000000−2i2i002i−2i00000000
χ332222-2-2-2-2-2-222200002-22-200020000000-20000002-2000000
χ342222-2-2-2-2-2-222200002-22-2000-200000002000000-22000000
χ352222-2-2-2-2-2-22220000-22-2200020000000-2000000-22000000
χ362222-2-2-2-2-2-22220000-22-22000-2000000020000002-2000000
χ37444444-4-44-4-44-40000000000000000000000000000000000
χ38444444-4-4-44-4-440000000000000000000000000000000000
χ394-4-44004-400000004i−4i0000000000000000000000002-22i−2i00
χ404-4-44004-400000004i−4i000000000000000000000000-22−2i2i00
χ414-4-44004-40000000−4i4i0000000000000000000000002-2−2i2i00
χ424-4-44004-40000000−4i4i000000000000000000000000-222i−2i00
χ4388-8-800000000042−4200000000000000000000000000000000
χ4488-8-8000000000−424200000000000000000000000000000000
χ458-88-88i−8i00000000000000000000000000000000000000000
χ468-88-8−8i8i00000000000000000000000000000000000000000
χ478-8-8800-88000000000000000000000000000000000000000

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