Finite Group Databasebeta

← Group #255503

Character table — Group #255503

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444222244444424444444444888888888888888824444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1
χ311111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111111-1-1-1-111-1-11111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111
χ711111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ811111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1111111-1-1-1-1
χ91111111111-1-1-1-11111111111-1-1-1-111-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-1
χ101111111111-1-1-1-11111111111-1-1-1-111-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111111-1-1-1-111
χ111111111111-1-1-1-11111111111-1-1-1-111-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-111
χ121111111111-1-1-1-11111111111-1-1-1-111-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-1111111-1-1
χ131111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-11111-1-111
χ141111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111-1-1
χ151111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1-1-1-1-111111-1-1-11111-1-111-1-1
χ161111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111111111-1-1-1-1111-111-1-1-1-1-1-111
χ1722222222222222-2-222-2-20000-2-222-2-2-200002200220000000000000000-200-20000000000
χ1822222222222222-2-222-2-20000-2-222-2-2-20000-2-200-2-2000000000000000020020000000000
χ192222222222-2-2-2-2-2-222-2-2000022-2-2-2-2200002200-2-20000000000000000200-20000000000
χ202222222222-2-2-2-2-2-222-2-2000022-2-2-2-220000-2-200220000000000000000-20020000000000
χ2122222222-2-2222222-2-222222222-2-2-2-2-2-2-22200-2-200000000000000000000000000000000
χ2222222222-2-2222222-2-222-2-2-2-222-2-2-2-2-222-2-2002200000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-20000-2-2-2-22220000000000000000000000000000002-2002-20000
χ2422222222-2-22222-2-2-2-2-2-20000-2-2-2-2222000000000000000000000000000000-2200-220000
χ2522222222-2-2-2-2-2-222-2-2222222-2-222-2-22-2-2-2-2002200000000000000000000000000000000
χ2622222222-2-2-2-2-2-222-2-222-2-2-2-2-2-222-2-22222200-2-200000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-20000222222-20000000000000000000000000000002-200-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-20000222222-2000000000000000000000000000000-22002-20000
χ29222-2-2-2-22002i2i−2i−2i2-2002-222-2-22i−2i00000002i−2i00000000000000i2i2−i2−i222−2−20000000000i2−i22−2
χ30222-2-2-2-22002i2i−2i−2i2-2002-222-2-22i−2i00000002i−2i00000000000000−i2−i2i2i2−2−2220000000000−i2i2−22
χ31222-2-2-2-22002i2i−2i−2i2-2002-2-2-2222i−2i0000000−2i2i00000000000000i2i2−i2−i222−2−20000000000−i2i2−22
χ32222-2-2-2-22002i2i−2i−2i2-2002-2-2-2222i−2i0000000−2i2i00000000000000−i2−i2i2i2−2−2220000000000i2−i22−2
χ33222-2-2-2-2200−2i−2i2i2i2-2002-222-2-2−2i2i0000000−2i2i00000000000000i2i2−i2−i2−2−2220000000000i2−i2−22
χ34222-2-2-2-2200−2i−2i2i2i2-2002-222-2-2−2i2i0000000−2i2i00000000000000−i2−i2i2i222−2−20000000000−i2i22−2
χ35222-2-2-2-2200−2i−2i2i2i2-2002-2-2-222−2i2i00000002i−2i00000000000000i2i2−i2−i2−2−2220000000000−i2i22−2
χ36222-2-2-2-2200−2i−2i2i2i2-2002-2-2-222−2i2i00000002i−2i00000000000000−i2−i2i2i222−2−20000000000i2−i2−22
χ372-222-22-2-22-22i−2i2i−2i002-2000000002i−2i00000002-2002i−2i22−2−2i2i2−i2−i22−22−2i2−i2i2−i200000000000000
χ382-222-22-2-22-22i−2i2i−2i002-2000000002i−2i00000002-2002i−2i−2−222−i2−i2i2i2−22−22−i2i2−i2i200000000000000
χ392-222-22-2-22-22i−2i2i−2i002-2000000002i−2i0000000-2200−2i2i22−2−2i2i2−i2−i2−22−22−i2i2−i2i200000000000000
χ402-222-22-2-22-22i−2i2i−2i002-2000000002i−2i0000000-2200−2i2i−2−222−i2−i2i2i22−22−2i2−i2i2−i200000000000000
χ412-222-22-2-22-2−2i2i−2i2i002-200000000−2i2i00000002-200−2i2i22−2−2−i2−i2i2i22−22−2−i2i2−i2i200000000000000
χ422-222-22-2-22-2−2i2i−2i2i002-200000000−2i2i00000002-200−2i2i−2−222i2i2−i2−i2−22−22i2−i2i2−i200000000000000
χ432-222-22-2-22-2−2i2i−2i2i002-200000000−2i2i0000000-22002i−2i22−2−2−i2−i2i2i2−22−22i2−i2i2−i200000000000000
χ442-222-22-2-22-2−2i2i−2i2i002-200000000−2i2i0000000-22002i−2i−2−222i2i2−i2−i22−22−2−i2i2−i2i200000000000000
χ452-2-222-2-222-2000022-22-2-22-22-200002-202-20000000000002i−2i2i−2i000000000000002i−2i000000
χ462-2-222-2-222-2000022-22-2-22-22-200002-202-2000000000000−2i2i−2i2i00000000000000−2i2i000000
χ472-2-222-2-222-2000022-22-2-2-22-2200002-20-220000000000002i−2i2i−2i00000000000000−2i2i000000
χ482-2-222-2-222-2000022-22-2-2-22-2200002-20-22000000000000−2i2i−2i2i000000000000002i−2i000000
χ492-2-222-2-22-220000222-2-2-22-22-20000-220-22000000002i−2i2i−2i00000000000002i−2i00000000000
χ502-2-222-2-22-220000222-2-2-22-22-20000-220-2200000000−2i2i−2i2i0000000000000−2i2i00000000000
χ512-2-222-2-22-220000222-2-2-2-22-220000-2202-2000000002i−2i2i−2i0000000000000−2i2i00000000000
χ522-2-222-2-22-220000222-2-2-2-22-220000-2202-200000000−2i2i−2i2i00000000000002i−2i00000000000
χ53444-4-4-4-44004i4i−4i−4i-4400-440000−4i4i000000000000000000000000000000000000000000000
χ54444-4-4-4-4400−4i−4i4i4i-4400-4400004i−4i000000000000000000000000000000000000000000000
χ5544-44-4-44-444000000-4-400000000000000000000000000022−22−22220000000000000000000000
χ5644-44-4-44-444000000-4-4000000000000000000000000000−222222−220000000000000000000000
χ5744-44-4-44-4-4-400000044000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ5844-44-4-44-4-4-40000004400000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ594-444-44-4-4-444i−4i4i−4i00-4400000000−4i4i0000000000000000000000000000000000000000000
χ604-444-44-4-4-44−4i4i−4i4i00-44000000004i−4i0000000000000000000000000000000000000000000
χ614-44-44-44-4004-4-44000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ624-44-44-44-4004-4-4400000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ634-44-44-44-400-444-4000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ644-44-44-44-400-444-400000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ654-4-444-4-444-40000-4-4-444400000000-4400000000000000000000000000000000000000000
χ664-4-444-4-44-440000-4-44-444000000004-400000000000000000000000000000000000000000
χ674-4-4-4-44440000004-400-444-4-4400000000000000000000000000000000000000000000000
χ684-4-4-4-44440000004-400-44-444-400000000000000000000000000000000000000000000000
χ694-4-4-4-4444000000-44004-4000000000000000004-400000000000000000000000000000000
χ704-4-4-4-4444000000-44004-400000000000000000-4400000000000000000000000000000000
χ7188-8-888-8-8000000000000000000000000000000000000000000000000000000000000000

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