Finite Group Databasebeta

← Group #5299

Character table — Group #5299

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222244441111222222444411112222224444111122222244441111222222444411112222224444
order1222448888444436661212242424241212121236661212242424241212121222224488884444666612122424242412121212666612122424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ4111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ511-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i
χ611-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii
χ711-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii
χ811-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i
χ92222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-2000000002222-2-200000000
χ1022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-20000000022-2-22-200000000
χ112-22-200i2−i2i2−i200002-22-200i2−i2i2−i200002-22-200i2−i2i2−i200002-22-200i2−i2i2−i200002-22-200i2−i2i2−i200002-22-200i2−i2i2−i20000
χ122-22-200−i2i2−i2i200002-22-200−i2i2−i2i200002-22-200−i2i2−i2i200002-22-200−i2i2−i2i200002-22-200−i2i2−i2i200002-22-200−i2i2−i2i20000
χ132-2-2200i2−i2−i2i200002-2-2200i2−i2−i2i200002-2-2200i2−i2−i2i200002-2-2200i2−i2−i2i200002-2-2200i2−i2−i2i200002-2-2200i2−i2−i2i20000
χ142-2-2200−i2i2i2−i200002-2-2200−i2i2i2−i200002-2-2200−i2i2i2−i200002-2-2200−i2i2i2−i200002-2-2200−i2i2i2−i200002-2-2200−i2i2i2−i20000
χ1511111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ161111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ17111111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32111111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ18111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ1911-1-1-1111-1-1i−ii−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ2211-1-1-1111-1-1i−ii−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22
χ2011-1-1-1111-1-1−ii−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ2211-1-1-1111-1-1−ii−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22
χ2111-1-1-11-1-111i−i−ii−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ2211-1-1-11-1-111i−i−ii−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22
χ2211-1-1-11-1-111−iii−i−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ2211-1-1-11-1-111−iii−i−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22
χ232222-2-200000000−1+i3−1+i3−1+i3−1+i31−i31−i300000000−1−i3−1−i3−1−i3−1−i31+i31+i3000000002222-2-200000000−1+i3−1+i3−1+i3−1+i31−i31−i300000000−1−i3−1−i3−1−i3−1−i31+i31+i300000000
χ2422-2-22-200000000−1+i3−1+i31−i31−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i31+i30000000022-2-22-200000000−1+i3−1+i31−i31−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i31+i300000000
χ252-22-200i2−i2i2−i20000−1+i31−i3−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ230000−1−i31+i3−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300002-22-200i2−i2i2−i20000−1+i31−i3−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ230000−1−i31+i3−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ130000
χ262-22-200−i2i2−i2i20000−1+i31−i3−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000−1−i31+i3−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300002-22-200−i2i2−i2i20000−1+i31−i3−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000−1−i31+i3−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000
χ272-2-2200i2−i2−i2i20000−1+i31−i31−i3−1+i300−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000−1−i31+i31+i3−1−i300−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300002-2-2200i2−i2−i2i20000−1+i31−i31−i3−1+i300−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000−1−i31+i31+i3−1−i300−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000
χ282-2-2200−i2i2i2−i20000−1+i31−i31−i3−1+i300ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000−1−i31+i31+i3−1−i300ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300002-2-2200−i2i2i2−i20000−1+i31−i31−i3−1+i300ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000−1−i31+i31+i3−1−i300ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000
χ2911111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ301111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ31111111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32111111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ32111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ3311-1-1-1111-1-1i−ii−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ1411-1-1-1111-1-1i−ii−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14
χ3411-1-1-1111-1-1−ii−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ1411-1-1-1111-1-1−ii−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14
χ3511-1-1-11-1-111i−i−ii−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ1411-1-1-11-1-111i−i−ii−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14
χ3611-1-1-11-1-111−iii−i−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ1411-1-1-11-1-111−iii−i−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14
χ372222-2-200000000−1−i3−1−i3−1−i3−1−i31+i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i3000000002222-2-200000000−1−i3−1−i3−1−i3−1−i31+i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i300000000
χ3822-2-22-200000000−1−i3−1−i31+i31+i3−1−i31+i300000000−1+i3−1+i31−i31−i3−1+i31−i30000000022-2-22-200000000−1−i3−1−i31+i31+i3−1−i31+i300000000−1+i3−1+i31−i31−i3−1+i31−i300000000
χ392-22-200i2−i2i2−i20000−1−i31+i3−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ130000−1+i31−i3−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300002-22-200i2−i2i2−i20000−1−i31+i3−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ130000−1+i31−i3−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ230000
χ402-22-200−i2i2−i2i20000−1−i31+i3−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000−1+i31−i3−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300002-22-200−i2i2−i2i20000−1−i31+i3−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000−1+i31−i3−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000
χ412-2-2200i2−i2−i2i20000−1−i31+i31+i3−1−i300−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000−1+i31−i31−i3−1+i300−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300002-2-2200i2−i2−i2i20000−1−i31+i31+i3−1−i300−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000−1+i31−i31−i3−1+i300−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000
χ422-2-2200−i2i2i2−i20000−1−i31+i31+i3−1−i300ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000−1+i31−i31−i3−1+i300ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300002-2-2200−i2i2i2−i20000−1−i31+i31+i3−1−i300ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000−1+i31−i31−i3−1+i300ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ45111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ46111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ4711-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii-1-1111-1-1-111−ii−ii-1-1111-1-1-111−ii−ii
χ4811-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i-1-1111-1-1-111i−ii−i-1-1111-1-1-111i−ii−i
χ4911-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii-1-1111-111-1-1−iii−i-1-1111-111-1-1−iii−i-1-1111-111-1-1−iii−i
χ5011-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i-1-1111-111-1-1i−i−ii-1-1111-111-1-1i−i−ii-1-1111-111-1-1i−i−ii
χ512222-2-2000000002222-2-2000000002222-2-200000000-2-2-2-22200000000-2-2-2-22200000000-2-2-2-22200000000
χ5222-2-22-20000000022-2-22-20000000022-2-22-200000000-2-222-2200000000-2-222-2200000000-2-222-2200000000
χ532-22-200i2−i2i2−i200002-22-200i2−i2i2−i200002-22-200i2−i2i2−i20000-22-2200−i2i2−i2i20000-22-2200−i2i2−i2i20000-22-2200−i2i2−i2i20000
χ542-22-200−i2i2−i2i200002-22-200−i2i2−i2i200002-22-200−i2i2−i2i20000-22-2200i2−i2i2−i20000-22-2200i2−i2i2−i20000-22-2200i2−i2i2−i20000
χ552-2-2200i2−i2−i2i200002-2-2200i2−i2−i2i200002-2-2200i2−i2−i2i20000-222-200−i2i2i2−i20000-222-200−i2i2i2−i20000-222-200−i2i2i2−i20000
χ562-2-2200−i2i2i2−i200002-2-2200−i2i2i2−i200002-2-2200−i2i2i2−i20000-222-200i2−i2−i2i20000-222-200i2−i2−i2i20000-222-200i2−i2−i2i20000
χ5711111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ581111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-111111−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ59111111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32-1-1-1-1-1-11111-1-1111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ60111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32-1-1-1-1-1-1111111-1-11−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ6111-1-1-1111-1-1i−ii−i−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22-1-1111-1-1-111−ii−ii1−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ141+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22
χ6211-1-1-1111-1-1−ii−ii−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22-1-1111-1-1-111i−ii−i1−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ141+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22
χ6311-1-1-11-1-111i−i−ii−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22-1-1111-111-1-1−iii−i1−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ141+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22
χ6411-1-1-11-1-111−iii−i−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22-1-1111-111-1-1i−i−ii1−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ141+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22
χ652222-2-200000000−1+i3−1+i3−1+i3−1+i31−i31−i300000000−1−i3−1−i3−1−i3−1−i31+i31+i300000000-2-2-2-222000000001−i31−i31−i31−i3−1+i3−1+i3000000001+i31+i31+i31+i3−1−i3−1−i300000000
χ6622-2-22-200000000−1+i3−1+i31−i31−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i31+i300000000-2-222-22000000001−i31−i3−1+i3−1+i31−i3−1+i3000000001+i31+i3−1−i3−1−i31+i3−1−i300000000
χ672-22-200i2−i2i2−i20000−1+i31−i3−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ230000−1−i31+i3−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ130000-22-2200−i2i2−i2i200001−i3−1+i31−i3−1+i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300001+i3−1−i31+i3−1−i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000
χ682-22-200−i2i2−i2i20000−1+i31−i3−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000−1−i31+i3−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000-22-2200i2−i2i2−i200001−i3−1+i31−i3−1+i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300001+i3−1−i31+i3−1−i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ130000
χ692-2-2200i2−i2−i2i20000−1+i31−i31−i3−1+i300−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000−1−i31+i31+i3−1−i300−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000-222-200−i2i2i2−i200001−i3−1+i3−1+i31−i300ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300001+i3−1−i3−1−i31+i300ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000
χ702-2-2200−i2i2i2−i20000−1+i31−i31−i3−1+i300ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000−1−i31+i31+i3−1−i300ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000-222-200i2−i2−i2i200001−i3−1+i3−1+i31−i300−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300001+i3−1−i3−1−i31+i300−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000
χ7111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ721111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-111111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ73111111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32-1-1-1-1-1-11111-1-1111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ74111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32-1-1-1-1-1-1111111-1-11+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ7511-1-1-1111-1-1i−ii−i−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14−ζ14-1-1111-1-1-111−ii−ii1+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ221−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14
χ7611-1-1-1111-1-1−ii−ii−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14ζ14-1-1111-1-1-111i−ii−i1+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ221−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14
χ7711-1-1-11-1-111i−i−ii−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32ζ14−ζ14−ζ14ζ14-1-1111-111-1-1−iii−i1+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ221−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14
χ7811-1-1-11-1-111−iii−i−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14-1-1111-111-1-1i−i−ii1+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ221−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14
χ792222-2-200000000−1−i3−1−i3−1−i3−1−i31+i31+i300000000−1+i3−1+i3−1+i3−1+i31−i31−i300000000-2-2-2-222000000001+i31+i31+i31+i3−1−i3−1−i3000000001−i31−i31−i31−i3−1+i3−1+i300000000
χ8022-2-22-200000000−1−i3−1−i31+i31+i3−1−i31+i300000000−1+i3−1+i31−i31−i3−1+i31−i300000000-2-222-22000000001+i31+i3−1−i3−1−i31+i3−1−i3000000001−i31−i3−1+i3−1+i31−i3−1+i300000000
χ812-22-200i2−i2i2−i20000−1−i31+i3−1−i31+i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ130000−1+i31−i3−1+i31−i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ230000-22-2200−i2i2−i2i200001+i3−1−i31+i3−1−i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300001−i3−1+i31−i3−1+i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000
χ822-22-200−i2i2−i2i20000−1−i31+i3−1−i31+i300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000−1+i31−i3−1+i31−i300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000-22-2200i2−i2i2−i200001+i3−1−i31+i3−1−i300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300001−i3−1+i31−i3−1+i300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ230000
χ832-2-2200i2−i2−i2i20000−1−i31+i31+i3−1−i300−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130000−1+i31−i31−i3−1+i300−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000-222-200−i2i2i2−i200001+i3−1−i3−1−i31+i300ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300001−i3−1+i3−1+i31−i300ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000
χ842-2-2200−i2i2i2−i20000−1−i31+i31+i3−1−i300ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130000−1+i31−i31−i3−1+i300ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230000-222-200i2−i2−i2i200001+i3−1−i3−1−i31+i300−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300001−i3−1+i3−1+i31−i300−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.