Finite Group Databasebeta

← Group #92868

Character table — Group #92868

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order1222222244444444888888888888888844888888888888888816161616161616161616161616161616161616161616161616161616161616164444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1
χ61111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1
χ91-1-1-111-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11iiii−i−i−i−i1111-1-1-1-1ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2i−i1-1
χ101-1-1-111-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11iiii−i−i−i−i1111-1-1-1-1ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ii-11
χ111-1-1-111-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11iiii−i−i−i−i1111-1-1-1-1−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ii-11
χ121-1-1-111-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11iiii−i−i−i−i1111-1-1-1-1−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2i−i1-1
χ131-1-1-111-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11−i−i−i−iiiii1111-1-1-1-1ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ii1-1
χ141-1-1-111-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11−i−i−i−iiiii1111-1-1-1-1ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6i−i-11
χ151-1-1-111-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11−i−i−i−iiiii1111-1-1-1-1−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6i−i-11
χ161-1-1-111-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11−i−i−i−iiiii1111-1-1-1-1−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ii1-1
χ17222222222222222222-2-222-2-222-2-222-2-22222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222222-2-222-2-222-2-222-2-22222-2-222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ192222222222-2-222-2-20022002200220022-2-200-2-200-2-20000000022−2−222−2−222−2−222−2−200000000000000000000
χ202222222222-2-222-2-20022002200220022-2-200-2-200-2-200000000−2−222−2−222−2−222−2−22200000000000000000000
χ212222222222-2-222-2-200-2-200-2-200-2-200-2-2-2-20022002200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000
χ222222222222-2-222-2-200-2-200-2-200-2-200-2-2-2-20022002200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000
χ2322222222-2-222-2-2222200220022002200-2-2-2-200-2-20000000000000000000000000022−2−222−2−222−2−222−2−20000
χ2422222222-2-222-2-2222200220022002200-2-2-2-200-2-200000000000000000000000000−2−222−2−222−2−222−2−2220000
χ2522222222-2-222-2-222-2-200-2-200-2-200-2-200-2-222002200000000000000000000000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000
χ2622222222-2-222-2-222-2-200-2-200-2-200-2-200-2-222002200000000000000000000000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000
χ27222-22-2-2-2002-2002-2222−2222−2-2-22−2-2-22−200002−2002−222−2−222−2−20000000000000000ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ50000
χ28222-22-2-2-2002-2002-2222−2222−2-2-22−2-2-22−200002−2002−222−2−222−2−20000000000000000−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ50000
χ29222-22-2-2-2002-2002-222−2222−22-2-2−22-2-2−220000−2200−22−2−222−2−2220000000000000000ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ70000
χ30222-22-2-2-2002-2002-222−2222−22-2-2−22-2-2−220000−2200−22−2−222−2−2220000000000000000−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ70000
χ31222-22-2-2-2002-2002-2-2-22−2-2-22−2222−2222−200002−2002−2−2−222−2−2220000000000000000ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ50000
χ32222-22-2-2-2002-2002-2-2-22−2-2-22−2222−2222−200002−2002−2−2−222−2−2220000000000000000−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ50000
χ33222-22-2-2-2002-2002-2-2-2−22-2-2−2222−2222−220000−2200−2222−2−222−2−20000000000000000ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ70000
χ34222-22-2-2-2002-2002-2-2-2−22-2-2−2222−2222−220000−2200−2222−2−222−2−20000000000000000−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ70000
χ3522-22-22-2-22-2002-2002−2222−2222−2-2-22−2-2-2002−2002−2002−22−22−22−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ500000000000000000000
χ3622-22-22-2-22-2002-2002−2222−2222−2-2-22−2-2-2002−2002−2002−22−22−22−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ500000000000000000000
χ3722-22-22-2-22-2002-2002−2-2-22−2-2-22−2222−222002−2002−200−22−22−22−22ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000000000000000
χ3822-22-22-2-22-2002-2002−2-2-22−2-2-22−2222−222002−2002−200−22−22−22−22−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000000000000000
χ3922-22-22-2-22-2002-200−2222−2222−22-2-2−22-2-200−2200−2200−22−22−22−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ700000000000000000000
χ4022-22-22-2-22-2002-200−2222−2222−22-2-2−22-2-200−2200−2200−22−22−22−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ700000000000000000000
χ4122-22-22-2-22-2002-200−22-2-2−22-2-2−2222−222200−2200−22002−22−22−22−2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000000000000000
χ4222-22-22-2-22-2002-200−22-2-2−22-2-2−2222−222200−2200−22002−22−22−22−2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000000000000000
χ432-22-2-222-22-200-2200i2−i22i2i−i2i2−2i−2ii2−i2−2i−2i−i2i22i2i00i2−i200−i2i2002−22−2−22−22ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ300000000000000000000
χ442-22-2-222-22-200-2200i2−i22i2i−i2i2−2i−2ii2−i2−2i−2i−i2i22i2i00i2−i200−i2i2002−22−2−22−22−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ300000000000000000000
χ452-22-2-222-22-200-2200i2−i2−2i−2i−i2i22i2ii2−i22i2i−i2i2−2i−2i00i2−i200−i2i200−22−222−22−2ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ300000000000000000000
χ462-22-2-222-22-200-2200i2−i2−2i−2i−i2i22i2ii2−i22i2i−i2i2−2i−2i00i2−i200−i2i200−22−222−22−2−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ300000000000000000000
χ472-22-2-222-22-200-2200−i2i22i2ii2−i2−2i−2i−i2i2−2i−2ii2−i22i2i00−i2i200i2−i200−22−222−22−2ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ700000000000000000000
χ482-22-2-222-22-200-2200−i2i22i2ii2−i2−2i−2i−i2i2−2i−2ii2−i22i2i00−i2i200i2−i200−22−222−22−2−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ700000000000000000000
χ492-22-2-222-22-200-2200−i2i2−2i−2ii2−i22i2i−i2i22i2ii2−i2−2i−2i00−i2i200i2−i2002−22−2−22−22ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ700000000000000000000
χ502-22-2-222-22-200-2200−i2i2−2i−2ii2−i22i2i−i2i22i2ii2−i2−2i−2i00−i2i200i2−i2002−22−2−22−22−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ700000000000000000000
χ512-2-222-22-2002-200-222i2ii2−i2−2i−2i−i2i2−2i−2ii2−i22i2i−i2i20000i2−i200−i2i222−2−2−2−2220000000000000000ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ70000
χ522-2-222-22-2002-200-222i2ii2−i2−2i−2i−i2i2−2i−2ii2−i22i2i−i2i20000i2−i200−i2i222−2−2−2−2220000000000000000−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ70000
χ532-2-222-22-2002-200-222i2i−i2i2−2i−2ii2−i2−2i−2i−i2i22i2ii2−i20000−i2i200i2−i2−2−22222−2−20000000000000000ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ30000
χ542-2-222-22-2002-200-222i2i−i2i2−2i−2ii2−i2−2i−2i−i2i22i2ii2−i20000−i2i200i2−i2−2−22222−2−20000000000000000−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ30000
χ552-2-222-22-2002-200-22−2i−2ii2−i22i2i−i2i22i2ii2−i2−2i−2i−i2i20000i2−i200−i2i2−2−22222−2−20000000000000000ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ70000
χ562-2-222-22-2002-200-22−2i−2ii2−i22i2i−i2i22i2ii2−i2−2i−2i−i2i20000i2−i200−i2i2−2−22222−2−20000000000000000−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ70000
χ572-2-222-22-2002-200-22−2i−2i−i2i22i2ii2−i22i2i−i2i2−2i−2ii2−i20000−i2i200i2−i222−2−2−2−2220000000000000000ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ30000
χ582-2-222-22-2002-200-22−2i−2i−i2i22i2ii2−i22i2i−i2i2−2i−2ii2−i20000−i2i200i2−i222−2−2−2−2220000000000000000−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ30000
χ592-2-2-222-222222-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-222i2i−2i−2i−2i−2i2i2i-2-2-2-22222000000000000000000000000000000000000
χ602-2-2-222-222222-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-22−2i−2i2i2i2i2i−2i−2i-2-2-2-22222000000000000000000000000000000000000
χ612-2-2-222-2222-2-2-2-222002i2i00−2i−2i002i2i00−2i−2i2-200−2i−2i002i2i000000001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00000000000000000000
χ622-2-2-222-2222-2-2-2-222002i2i00−2i−2i002i2i00−2i−2i2-200−2i−2i002i2i00000000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00000000000000000000
χ632-2-2-222-2222-2-2-2-22200−2i−2i002i2i00−2i−2i002i2i2-2002i2i00−2i−2i000000001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00000000000000000000
χ642-2-2-222-2222-2-2-2-22200−2i−2i002i2i00−2i−2i002i2i2-2002i2i00−2i−2i00000000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i00000000000000000000
χ652-2-2-222-22-2-22222-2-22i2i00−2i−2i002i2i00−2i−2i002-2−2i−2i002i2i000000000000000000000000001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i0000
χ662-2-2-222-22-2-22222-2-22i2i00−2i−2i002i2i00−2i−2i002-2−2i−2i002i2i00000000000000000000000000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i0000
χ672-2-2-222-22-2-22222-2-2−2i−2i002i2i00−2i−2i002i2i002-22i2i00−2i−2i000000000000000000000000001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i0000
χ682-2-2-222-22-2-22222-2-2−2i−2i002i2i00−2i−2i002i2i002-22i2i00−2i−2i00000000000000000000000000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i0000
χ6944444444-4-4-4-4-4-4-4-40000000000000000440000000000000000000000000000000000000000000000000000
χ70444-44-4-4-400-4400-440022−220022−220022−220022−220000−222200−222200000000000000000000000000000000000000000000
χ71444-44-4-4-400-4400-4400−222200−222200−222200−2222000022−220022−2200000000000000000000000000000000000000000000
χ7244-44-44-4-4-4400-440022−220022−220022−220022−220000−222200−22220000000000000000000000000000000000000000000000
χ7344-44-44-4-4-4400-4400−222200−222200−222200−2222000022−220022−220000000000000000000000000000000000000000000000
χ7444-4-4-4-4440000000022−2222−2222−2222−22−2222−2222−2222−222200000000002-2-222-2-22000000000000000000000000000000000000
χ7544-4-4-4-4440000000022−22−222222−22−2222−222222−22−222222−220000000000-222-2-222-2000000000000000000000000000000000000
χ7644-4-4-4-44400000000−222222−22−222222−2222−22−222222−22−22220000000000-222-2-222-2000000000000000000000000000000000000
χ7744-4-4-4-44400000000−2222−2222−2222−222222−2222−2222−2222−2200000000002-2-222-2-22000000000000000000000000000000000000
χ784-444-4-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i2−2i22i2−2i22i22i2−2i22i2−2i200000000002-2-22-222-2000000000000000000000000000000000000
χ794-444-4-4-44000000002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i20000000000-222-22-2-22000000000000000000000000000000000000
χ804-444-4-4-4400000000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i20000000000-222-22-2-22000000000000000000000000000000000000
χ814-444-4-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i22i2−2i22i2−2i2−2i22i2−2i22i200000000002-2-22-222-2000000000000000000000000000000000000
χ824-44-4-444-4-44004-4002i2−2i200−2i22i2002i2−2i200−2i22i20000−2i22i2002i2−2i20000000000000000000000000000000000000000000000
χ834-44-4-444-4-44004-400−2i22i2002i2−2i200−2i22i2002i2−2i200002i2−2i200−2i22i20000000000000000000000000000000000000000000000
χ844-4-444-44-400-44004-4002i2−2i200−2i22i2002i2−2i200−2i22i20000−2i22i2002i2−2i200000000000000000000000000000000000000000000
χ854-4-444-44-400-44004-400−2i22i2002i2−2i200−2i22i2002i2−2i200002i2−2i200−2i22i200000000000000000000000000000000000000000000
χ864-4-4-444-44-4-4-4-444440000000000000000-440000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.