Finite Group Databasebeta

← Group #10690010

Character table — Group #10690010

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222244444444444444444444444444444444444444888888888888888888888812121212242424242424242424244848
order122222223444444446666666121212121212121244444488888888121212121212121224242424242424242424242424242424448888121212121212121224242424242424244444444444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ611111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ811111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ91-11-1-11-11111-11-1-11-1-1-1111-1-111-1-1-1-111ii−i−i1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i1-1ii−i−i1-1
χ101-11-1-11-11111-11-1-11-1-1-1111-1-111-1-1-1-111ii−i−i1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-1-1-111−i−iii-11−i−iii-11
χ111-11-1-11-11111-11-1-11-1-1-1111-1-111-1-1-1-111ii−i−i1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-111iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i1-1−i−iii-11
χ121-11-1-11-11111-11-1-11-1-1-1111-1-111-1-1-1-111ii−i−i1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-111iiii−i−i−i−i-1-1-1-11111-1-111−i−iii-11ii−i−i1-1
χ131-11-1-11-11111-11-1-11-1-1-1111-1-111-1-1-1-111−i−iii1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-111−i−i−i−iiiii-1-1-1-1111111-1-1−i−iii1-1ii−i−i-11
χ141-11-1-11-11111-11-1-11-1-1-1111-1-111-1-1-1-111−i−iii1-1iiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-111−i−i−i−iiiii-1-1-1-11111-1-111ii−i−i-11−i−iii1-1
χ151-11-1-11-11111-11-1-11-1-1-1111-1-111-1-1-1-111−i−iii1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii11-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii1-1−i−iii1-1
χ161-11-1-11-11111-11-1-11-1-1-1111-1-111-1-1-1-111−i−iii1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii11-1-1−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i-11ii−i−i-11
χ17222222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-20000000022-2-222-2-20000000000000000-2-2000022-2-222-2-2000000000000000000000000
χ18222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-222-2-20000000000000000220000-2-222-2-222000000000000000000000000
χ19222222222-2-2-22222-22222222222222220000-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000022220000-2-2000000
χ20222222222-2-2-22222-22222222222222220000-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000-2-2-2-2000022000000
χ21222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-200002200000000-2-222-2-2220000000000000000000000000000000000000000002-22-200000000
χ22222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-200002200000000-2-222-2-222000000000000000000000000000000000000000000-22-2200000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2522222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111111111110000000000000000
χ2622222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2722222222-1222-2-2-2-22-1-1-1-1-1-1-1111111112222-2-200000000-1-111-1-1113333−3−3−3−33333−3−3−3−3-2-20000-1-111-1-11133−3−333−3−30000000000000000
χ2822222222-1222-2-2-2-22-1-1-1-1-1-1-1111111112222-2-200000000-1-111-1-111−3−3−3−33333−3−3−3−33333-2-20000-1-111-1-111−3−333−3−3330000000000000000
χ2922222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-2-2-2-2-200000000-1-111-1-1113333−3−3−3−33333−3−3−3−322000011-1-111-1-1−3−333−3−3330000000000000000
χ3022222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-2-2-2-2-200000000-1-111-1-111−3−3−3−33333−3−3−3−3333322000011-1-111-1-133−3−333−3−30000000000000000
χ312222-2-2-2-222-220000-22-22-2-22-2000000002-22-20022−2−222−2−22-2002-20022−2−222−2−222−2−222−2−2002−22−22-2002-2002−22−22−22−20000000000000000
χ322222-2-2-2-222-220000-22-22-2-22-2000000002-22-200−2−222−2−2222-2002-200−2−222−2−222−2−222−2−22200−22−222-2002-200−22−22−22−220000000000000000
χ332222-2-2-2-222-220000-22-22-2-22-200000000-22-220022−2−222−2−22-2002-20022−2−222−2−222−2−222−2−200−22−22-2200-2200−22−22−22−220000000000000000
χ342222-2-2-2-222-220000-22-22-2-22-200000000-22-2200−2−222−2−2222-2002-200−2−222−2−222−2−222−2−222002−22−2-2200-22002−22−22−22−20000000000000000
χ352222-2-2-2-2-12-220000-2-11-111-113−333−3−33−32-22-20022−2−222−2−2-113−3-113−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23002−22−2-113−3-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ362222-2-2-2-2-12-220000-2-11-111-113−333−3−33−32-22-200−2−222−2−222-113−3-113−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300−22−22-113−3-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ372222-2-2-2-2-12-220000-2-11-111-113−333−3−33−3-22-220022−2−222−2−2-113−3-113−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300−22−221-1−331-1−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ382222-2-2-2-2-12-220000-2-11-111-113−333−3−33−3-22-2200−2−222−2−222-113−3-113−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23002−22−21-1−331-1−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ392222-2-2-2-2-12-220000-2-11-111-11−33−3−333−332-22-20022−2−222−2−2-11−33-11−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7002−22−2-11−33-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ402222-2-2-2-2-12-220000-2-11-111-11−33−3−333−332-22-200−2−222−2−222-11−33-11−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700−22−22-11−33-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ412222-2-2-2-2-12-220000-2-11-111-11−33−3−333−33-22-220022−2−222−2−2-11−33-11−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700−22−221-13−31-13−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ422222-2-2-2-2-12-220000-2-11-111-11−33−3−333−33-22-2200−2−222−2−222-11−33-11−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7002−22−21-13−31-13−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ4322-2-2-2-222200022-2-2022-22-2-2-2222-22-2-2-20000002−22−22−22−2000000002−22−22−22−22−22−22−22−200000000000000000000002i−2i2i−2i000000−i2i2−i2i200
χ4422-2-2-2-222200022-2-2022-22-2-2-2222-22-2-2-20000002−22−22−22−2000000002−22−22−22−22−22−22−22−20000000000000000000000−2i2i−2i2i000000i2−i2i2−i200
χ4522-2-2-2-222200022-2-2022-22-2-2-2222-22-2-2-2000000−22−22−22−2200000000−22−22−22−22−22−22−22−2200000000000000000000002i−2i2i−2i000000i2−i2i2−i200
χ4622-2-2-2-222200022-2-2022-22-2-2-2222-22-2-2-2000000−22−22−22−2200000000−22−22−22−22−22−22−22−220000000000000000000000−2i2i−2i2i000000−i2i2−i2i200
χ472-22-22-22-222-2-200002-222-2-2-22000000002i−2i−2i2i00−i2−i2i2i2i2i2−i2−i22-200-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200−222−22i−2i00−2i2i00−22−222−22−20000000000000000
χ482-22-22-22-222-2-200002-222-2-2-22000000002i−2i−2i2i00i2i2−i2−i2−i2−i2i2i22-200-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2002−2−222i−2i00−2i2i002−22−2−22−220000000000000000
χ492-22-22-22-222-2-200002-222-2-2-2200000000−2i2i2i−2i00−i2−i2i2i2i2i2−i2−i22-200-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2002−2−22−2i2i002i−2i002−22−2−22−220000000000000000
χ502-22-22-22-222-2-200002-222-2-2-2200000000−2i2i2i−2i00i2i2−i2−i2−i2−i2i2i22-200-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200−222−2−2i2i002i−2i00−22−222−22−20000000000000000
χ512-22-22-22-2-12-2-2000021-1-1111-13−3−3−3333−32i−2i−2i2i00−i2−i2i2i2i2i2−i2−i2-113−31-1−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700−222−2−iii3−i3i−i−i3i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ522-22-22-22-2-12-2-2000021-1-1111-13−3−3−3333−32i−2i−2i2i00i2i2−i2−i2−i2−i2i2i2-113−31-1−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7002−2−22−iii3−i3i−i−i3i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ532-22-22-22-2-12-2-2000021-1-1111-13−3−3−3333−3−2i2i2i−2i00−i2−i2i2i2i2i2−i2−i2-113−31-1−33ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7002−2−22i−i−i3i3−iii3−i3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000
χ542-22-22-22-2-12-2-2000021-1-1111-13−3−3−3333−3−2i2i2i−2i00i2i2−i2−i2−i2−i2i2i2-113−31-1−33−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−222−2i−i−i3i3−iii3−i3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000
χ552-22-22-22-2-12-2-2000021-1-1111-1−3333−3−3−332i−2i−2i2i00−i2−i2i2i2i2i2−i2−i2-11−331-13−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300−222−2−ii−i3i3i−ii3−i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ562-22-22-22-2-12-2-2000021-1-1111-1−3333−3−3−332i−2i−2i2i00i2i2−i2−i2−i2−i2i2i2-11−331-13−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002−2−22−ii−i3i3i−ii3−i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ572-22-22-22-2-12-2-2000021-1-1111-1−3333−3−3−33−2i2i2i−2i00−i2−i2i2i2i2i2−i2−i2-11−331-13−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002−2−22i−ii3−i3−ii−i3i3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000
χ582-22-22-22-2-12-2-2000021-1-1111-1−3333−3−3−33−2i2i2i−2i00i2i2−i2−i2−i2−i2i2i2-11−331-13−3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300−222−2i−ii3−i3−ii−i3i3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000
χ592-22-2-22-22222-2-222-2-2-2-2222-2-2-2-22222-2-22i2i−2i−2i-220000000022-2-2-2-2220000000000000000−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ602-22-2-22-22222-2-222-2-2-2-2222-2-2-2-22222-2-2−2i−2i2i2i-220000000022-2-2-2-22200000000000000002i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ612-22-2-22-222-2-222-2-222-2-2222-2-222-2-2-2-2220000-2200000000-2-2-2-222220000000000000000000000000000000000000022-2-20000-22000000
χ622-22-2-22-222-2-222-2-222-2-2222-2-222-2-2-2-2220000-2200000000-2-2-2-2222200000000000000000000000000000000000000-2-22200002-2000000
χ632-22-2-22-222-2-22-222-22-2-2222-2-2-2-22222-2-200002-200000000-2-22222-2-20000000000000000000000000000000000000000002i−2i−2i2i00000000
χ642-22-2-22-222-2-22-222-22-2-2222-2-2-2-22222-2-200002-200000000-2-22222-2-2000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ652-22-2-22-22-122-22-2-22-211-1-1-111-1-11111-1-12i2i−2i−2i2-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii2i−2i22-2-2−i−i−i−iiiii-1-1-1-111110000000000000000
χ662-22-2-22-22-122-22-2-22-211-1-1-111-1-11111-1-12i2i−2i−2i2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i2i−2i-2-222−i−i−i−iiiii1111-1-1-1-10000000000000000
χ672-22-2-22-22-122-22-2-22-211-1-1-111-1-11111-1-1−2i−2i2i2i2-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−2i2i-2-222iiii−i−i−i−i1111-1-1-1-10000000000000000
χ682-22-2-22-22-122-22-2-22-211-1-1-111-1-11111-1-1−2i−2i2i2i2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−2i2i22-2-2iiii−i−i−i−i-1-1-1-111110000000000000000
χ692-22-2-22-22-122-2-222-2-211-1-1-11111-1-1-1-1112i2i−2i−2i-2200000000-1-11111-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−2i2i0000−i−iiiii−i−i−3−33333−3−30000000000000000
χ702-22-2-22-22-122-2-222-2-211-1-1-11111-1-1-1-1112i2i−2i−2i-2200000000-1-11111-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−2i2i0000−i−iiiii−i−i33−3−3−3−3330000000000000000
χ712-22-2-22-22-122-2-222-2-211-1-1-11111-1-1-1-111−2i−2i2i2i-2200000000-1-11111-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32i−2i0000ii−i−i−i−iii33−3−3−3−3330000000000000000
χ722-22-2-22-22-122-2-222-2-211-1-1-11111-1-1-1-111−2i−2i2i2i-2200000000-1-11111-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32i−2i0000ii−i−i−i−iii−3−33333−3−30000000000000000
χ732-2-222-2-2220002-22-20-2-2-22-22222-22-22-2-2000000−i2i2−i2i2i2−i2i2−i200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000000000002i−2i−2i2i000000−222−200
χ742-2-222-2-2220002-22-20-2-2-22-22222-22-22-2-2000000−i2i2−i2i2i2−i2i2−i200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000000000−2i2i2i−2i0000002−2−2200
χ752-2-222-2-2220002-22-20-2-2-22-22222-22-22-2-2000000i2−i2i2−i2−i2i2−i2i200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000000000002i−2i−2i2i0000002−2−2200
χ762-2-222-2-2220002-22-20-2-2-22-22222-22-22-2-2000000i2−i2i2−i2−i2i2−i2i200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000000000−2i2i2i−2i000000−222−200
χ7744444444-2-4-4-44444-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-4-40000000022222222000000000000000000000000000000000000000000000000000000
χ7844444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2222222220000440000000022-2-222-2-2000000000000000000000000000000000000000000000000000000
χ794444-4-4-4-44-44-4000044-44-4-44-40000000000000000000000-4400-4400000000000000000000000000000000000000000000000000000000
χ804444-4-4-4-4-2-44-400004-22-222-2223−232323−23−2323−23000000000000002-2−23232-2−2323000000000000000000000000000000000000000000000000000000
χ814444-4-4-4-4-2-44-400004-22-222-22−2323−23−232323−2323000000000000002-223−232-223−23000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-44000000004-4-4-44-44000000000000002-2-222-2-22000000002-2-222-2-222-2-222-2-2200000000000000000000000000000000000000
χ8344-4-444-4-44000000004-4-4-44-4400000000000000-222-2-222-200000000-222-2-222-2-222-2-222-200000000000000000000000000000000000000
χ8444-4-444-4-4-200000000-2222-22-223−2323−23−2323−23230000002-2-222-2-2200000000−1+31−31−3−1+3−1−31+31+3−1−3−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000000000000000000000
χ8544-4-444-4-4-200000000-2222-22-223−2323−23−2323−2323000000-222-2-222-2000000001−3−1+3−1+31−31+3−1−3−1−31+31−3−1+3−1+31−31+3−1−3−1−31+300000000000000000000000000000000000000
χ8644-4-444-4-4-200000000-2222-22-2−2323−232323−2323−230000002-2-222-2-2200000000−1−31+31+3−1−3−1+31−31−3−1+3−1−31+31+3−1−3−1+31−31−3−1+300000000000000000000000000000000000000
χ8744-4-444-4-4-200000000-2222-22-2−2323−232323−2323−23000000-222-2-222-2000000001+3−1−3−1−31+31−3−1+3−1+31−31+3−1−3−1−31+31−3−1+3−1+31−300000000000000000000000000000000000000
χ8844-4-4-4-4444000-4-444044-44-4-4-4-4-4-44-44440000000000000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-444-200044-4-40-2-22-2222-2-2-22-222200000022−2222−2222−2222−2200000000−22−22−22−22−22−22−22−2200000000000000000000000000000000000000
χ9044-4-4-4-444-200044-4-40-2-22-2222-2-2-22-2222000000−2222−2222−2222−2222000000002−22−22−22−22−22−22−22−200000000000000000000000000000000000000
χ9144-4-4-4-444-2000-4-4440-2-22-2222222-22-2-2-200000000000000000000006−66−6−66−666−66−6−66−6600000000000000000000000000000000000000
χ9244-4-4-4-444-2000-4-4440-2-22-2222222-22-2-2-20000000000000000000000−66−666−66−6−66−666−66−600000000000000000000000000000000000000
χ934-44-44-44-44-4440000-4-444-4-4-440000000000000000000000-44004-400000000000000000000000000000000000000000000000000000000
χ944-44-44-44-4-2-4440000-42-2-2222-223−23−23−23232323−23000000000000002-2−2323-2223−23000000000000000000000000000000000000000000000000000000
χ954-44-44-44-4-2-4440000-42-2-2222-2−23232323−23−23−2323000000000000002-223−23-22−2323000000000000000000000000000000000000000000000000000000
χ964-44-4-44-44-2-4-444-4-44422-2-2-222-2-22222-2-20000-44000000002222-2-2-2-2000000000000000000000000000000000000000000000000000000
χ974-44-4-44-44-2-4-44-444-4422-2-2-22222-2-2-2-22200004-40000000022-2-2-2-222000000000000000000000000000000000000000000000000000000
χ984-4-444-4-444000-44-440-4-4-44-444-4-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-44-20004-44-40222-22-2-2-2-22-22-222000000−2i22i2−2i22i22i2−2i22i2−2i200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000000
χ1004-4-444-4-44-20004-44-40222-22-2-2-2-22-22-2220000002i2−2i22i2−2i2−2i22i2−2i22i200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000000
χ1014-4-444-4-44-2000-44-440222-22-2-222-22-22-2-20000000000000000000000i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6i6−i6i6−i600000000000000000000000000000000000000
χ1024-4-444-4-44-2000-44-440222-22-2-222-22-22-2-20000000000000000000000−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6−i6i6−i6i600000000000000000000000000000000000000
χ1034-4-44-444-4400000000-44-4-444-4000000000000002i−2i−2i2i−2i2i2i−2i000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000000000
χ1044-4-44-444-4400000000-44-4-444-400000000000000−2i2i2i−2i2i−2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000000000
χ1054-4-44-444-4-2000000002-222-2-2223−23−232323−23−23230000002i−2i−2i2i−2i2i2i−2i00000000ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000000000000000000000000000000000000
χ1064-4-44-444-4-2000000002-222-2-2223−23−232323−23−2323000000−2i2i2i−2i2i−2i−2i2i00000000−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000000000000000000000000000000000000
χ1074-4-44-444-4-2000000002-222-2-22−232323−23−232323−230000002i−2i−2i2i−2i2i2i−2i00000000−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2200000000000000000000000000000000000000
χ1084-4-44-444-4-2000000002-222-2-22−232323−23−232323−23000000−2i2i2i−2i2i−2i−2i2i00000000ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2200000000000000000000000000000000000000

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