Finite Group Databasebeta

← Group #13139926

Character table — Group #13139926

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222222222222222226666666666666666121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order12224444223446666666121212121212121233666666121212121212121236666666666612121212121212121212121244444444121212121212121212121212121212128888888824242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111-1-11-1-1-1-1-1-11111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-11-1-1-1-1-1-11111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-11-1-1-1-1-1-11111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-11-1-1-1-1-1-11111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222222222222222222-122-1-12-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ1822222222222222222222222222222-122-1-12-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ192222222222222222222222222222-12-1-122-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ202222222222222222222222222222-12-1-122-12-1-1-1-12222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-200001111111100000000
χ2122222222-2-22-2-2-2-2-2-22222222-2-2-2-22-122-1-12-12222-1-1-1-1-1-2-211-1-11111-1-2-211-1-1-1-11111000000000000000000000000000022-2-200000000-1-1-1-11111
χ2222222222-2-22-2-2-2-2-2-22222222-2-2-2-22-122-1-12-12222-1-1-1-1-1-2-211-1-11111-1-2-211-1-1-1-111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ2322222222-2-22-2-2-2-2-2-22222222-2-2-2-2-12-1-122-12-1-1-1-12222-111-2-2-1-11111-111-2-2-1-1-1-1111100000000000000000000000022-2-20000-1-1-1-1111100000000
χ2422222222-2-22-2-2-2-2-2-22222222-2-2-2-2-12-1-122-12-1-1-1-12222-111-2-2-1-11111-111-2-2-1-1-1-11111000000000000000000000000-2-22200001111-1-1-1-100000000
χ252222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-22-122-1-12-1-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-2-2111111111100000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ262222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-22-122-1-12-1-2-2-2-21111-122-1-1-1-1-1-1-1-1-1-2-211111111110000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ272222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-2-12-1-122-121111-2-2-2-2-1-1-122-1-1-1-1-1-1-111-2-2111111110000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ282222-2-2-2-2222-2-22222222-2-2-2-2-2-2-2-2-12-1-122-121111-2-2-2-2-1-1-122-1-1-1-1-1-1-111-2-211111111000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ292222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-222222-122-1-12-1-2-2-2-21111-1-2-211-1-11111-122-1-11111-1-1-1-100000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ302222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-222222-122-1-12-1-2-2-2-21111-1-2-211-1-11111-122-1-11111-1-1-1-10000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ312222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-22222-12-1-122-121111-2-2-2-2-111-2-2-1-11111-1-1-1221111-1-1-1-10000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ322222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-22222-12-1-122-121111-2-2-2-2-111-2-2-1-11111-1-1-1221111-1-1-1-1000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ3322-2-222-2-20020000002-2-222-2-2000022-2-2-2-22222-2-222-2-220000-2-200002000022-2-2000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3422-2-222-2-20020000002-2-222-2-2000022-2-2-2-22222-2-222-2-220000-2-200002000022-2-200000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3522-2-2-2-2220020000002-2-2-2-222000022-2-2-2-222-2-222-2-22220000-2-2000020000-2-222000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ3622-2-2-2-2220020000002-2-2-2-222000022-2-2-2-222-2-222-2-22220000-2-2000020000-2-22200000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ372-22-22i−2i2i−2i002000000-22-22i−2i2i−2i0000222-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-20000-200002i−2i2i−2i00002-22i−2i000022-2-22i2i−2i−2i00000000000000000000000000000000
χ382-22-22i−2i2i−2i002000000-22-22i−2i2i−2i0000222-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-20000-200002i−2i2i−2i0000-22−2i2i0000-2-222−2i−2i2i2i00000000000000000000000000000000
χ392-22-2−2i2i−2i2i002000000-22-2−2i2i−2i2i0000222-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-20000-20000−2i2i−2i2i00002-2−2i2i000022-2-2−2i−2i2i2i00000000000000000000000000000000
χ402-22-2−2i2i−2i2i002000000-22-2−2i2i−2i2i0000222-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-20000-20000−2i2i−2i2i0000-222i−2i0000-2-2222i2i−2i−2i00000000000000000000000000000000
χ412-2-222i−2i−2i2i2-222i−2i22-2-2-2-222i−2i−2i2i2i2i−2i−2i22-22-22-2-22i−2i−2i2i2i−2i−2i2i22-22-2-2222-2-2-22i−2i2i−2i2i−2i−2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ422-2-222i−2i−2i2i2-222i−2i22-2-2-2-222i−2i−2i2i2i2i−2i−2i2-1-221-1-212i−2i−2i2i−iii−i-12-2-111-1-1-11112i−2i−ii−iii−i−i−iii0000000000000000000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ432-2-222i−2i−2i2i2-222i−2i22-2-2-2-222i−2i−2i2i2i2i−2i−2i2-1-221-1-212i−2i−2i2i−iii−i-12-2-111-1-1-11112i−2i−ii−iii−i−i−iii0000000000000000000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ442-2-222i−2i−2i2i2-222i−2i22-2-2-2-222i−2i−2i2i2i2i−2i−2i-121-1-221-2−iii−i2i−2i−2i2i-1-112-21-1-1-1111−ii2i−2i−iii−i−i−iii00000000000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ452-2-222i−2i−2i2i2-222i−2i22-2-2-2-222i−2i−2i2i2i2i−2i−2i-121-1-221-2−iii−i2i−2i−2i2i-1-112-21-1-1-1111−ii2i−2i−iii−i−i−iii00000000000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ462-2-222i−2i−2i2i-222−2i2i-2-222-2-222i−2i−2i2i−2i−2i2i2i22-22-22-2-22i−2i−2i2i2i−2i−2i2i2-22-22-22-2-222-2−2i2i−2i2i2i−2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ472-2-222i−2i−2i2i-222−2i2i-2-222-2-222i−2i−2i2i−2i−2i2i2i2-1-221-1-212i−2i−2i2i−iii−i-1-221-11-111-1-11−2i2ii−i−iii−iii−i−i0000000000000000000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ482-2-222i−2i−2i2i-222−2i2i-2-222-2-222i−2i−2i2i−2i−2i2i2i2-1-221-1-212i−2i−2i2i−iii−i-1-221-11-111-1-11−2i2ii−i−iii−iii−i−i0000000000000000000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ492-2-222i−2i−2i2i-222−2i2i-2-222-2-222i−2i−2i2i−2i−2i2i2i-121-1-221-2−iii−i2i−2i−2i2i-11-1-221-111-1-11i−i−2i2i−iii−iii−i−i00000000000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ502-2-222i−2i−2i2i-222−2i2i-2-222-2-222i−2i−2i2i−2i−2i2i2i-121-1-221-2−iii−i2i−2i−2i2i-11-1-221-111-1-11i−i−2i2i−iii−iii−i−i00000000000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ512-2-22−2i2i2i−2i2-22−2i2i22-2-2-2-22−2i2i2i−2i−2i−2i2i2i22-22-22-2-2−2i2i2i−2i−2i2i2i−2i22-22-2-2222-2-2-2−2i2i−2i2i−2i2i2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ522-2-22−2i2i2i−2i2-22−2i2i22-2-2-2-22−2i2i2i−2i−2i−2i2i2i2-1-221-1-21−2i2i2i−2ii−i−ii-12-2-111-1-1-1111−2i2ii−ii−i−iiii−i−i0000000000000000000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ532-2-22−2i2i2i−2i2-22−2i2i22-2-2-2-22−2i2i2i−2i−2i−2i2i2i2-1-221-1-21−2i2i2i−2ii−i−ii-12-2-111-1-1-1111−2i2ii−ii−i−iiii−i−i0000000000000000000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ542-2-22−2i2i2i−2i2-22−2i2i22-2-2-2-22−2i2i2i−2i−2i−2i2i2i-121-1-221-2i−i−ii−2i2i2i−2i-1-112-21-1-1-1111i−i−2i2ii−i−iiii−i−i00000000000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ552-2-22−2i2i2i−2i2-22−2i2i22-2-2-2-22−2i2i2i−2i−2i−2i2i2i-121-1-221-2i−i−ii−2i2i2i−2i-1-112-21-1-1-1111i−i−2i2ii−i−iiii−i−i00000000000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ562-2-22−2i2i2i−2i-2222i−2i-2-222-2-22−2i2i2i−2i2i2i−2i−2i22-22-22-2-2−2i2i2i−2i−2i2i2i−2i2-22-22-22-2-222-22i−2i2i−2i−2i2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ572-2-22−2i2i2i−2i-2222i−2i-2-222-2-22−2i2i2i−2i2i2i−2i−2i2-1-221-1-21−2i2i2i−2ii−i−ii-1-221-11-111-1-112i−2i−iii−i−ii−i−iii0000000000000000000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ582-2-22−2i2i2i−2i-2222i−2i-2-222-2-22−2i2i2i−2i2i2i−2i−2i2-1-221-1-21−2i2i2i−2ii−i−ii-1-221-11-111-1-112i−2i−iii−i−ii−i−iii0000000000000000000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ592-2-22−2i2i2i−2i-2222i−2i-2-222-2-22−2i2i2i−2i2i2i−2i−2i-121-1-221-2i−i−ii−2i2i2i−2i-11-1-221-111-1-11−ii2i−2ii−i−ii−i−iii00000000000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ602-2-22−2i2i2i−2i-2222i−2i-2-222-2-22−2i2i2i−2i2i2i−2i−2i-121-1-221-2i−i−ii−2i2i2i−2i-11-1-221-111-1-11−ii2i−2ii−i−ii−i−iii00000000000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ614444444444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-211111111000000000000000000000000000000000000000000000000
χ6244444444-4-44-4-4-4-4-4-44444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-1122221111-1-1-1-1000000000000000000000000000000000000000000000000
χ634444-4-4-4-4444-4-44444444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2222222221-2-2-2-211111112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ644444-4-4-4-4-4-4444-4-4-4-4444-4-4-4-44444-2-2-2-2-2-2-2-2222222221222211-1-1-1-11-2-2-2-2-1-1-1-11111000000000000000000000000000000000000000000000000
χ6544-4-444-4-40040000004-4-444-4-400004-2-4-4224-244-4-4-2-222-20000220000-20000-2-2220000000000000000000000000000000000000000000000000000
χ6644-4-444-4-40040000004-4-444-4-40000-2422-4-4-24-2-22244-4-4-20000220000-20000-2-2220000000000000000000000000000000000000000000000000000
χ6744-4-444-4-40040000004-4-444-4-40000-2-22222-2-2-2-222-2-22210000-1-13-33-31000011-1-13-33-3000000000000000000000000000000000000000000000000
χ6844-4-444-4-40040000004-4-444-4-40000-2-22222-2-2-2-222-2-22210000-1-1-33-331000011-1-1-33-33000000000000000000000000000000000000000000000000
χ6944-4-4-4-4440040000004-4-4-4-44400004-2-4-4224-2-4-44422-2-2-20000220000-2000022-2-20000000000000000000000000000000000000000000000000000
χ7044-4-4-4-4440040000004-4-4-4-4440000-2422-4-4-2422-2-2-4-444-20000220000-2000022-2-20000000000000000000000000000000000000000000000000000
χ7144-4-4-4-4440040000004-4-4-4-4440000-2-22222-2-222-2-222-2-210000-1-13-33-310000-1-111-33-33000000000000000000000000000000000000000000000000
χ7244-4-4-4-4440040000004-4-4-4-4440000-2-22222-2-222-2-222-2-210000-1-1-33-3310000-1-1113-33-3000000000000000000000000000000000000000000000000
χ734-44-44i−4i4i−4i004000000-44-44i−4i4i−4i00004-24-4-22-424i−4i4i−4i−2i2i−2i2i-20000-22000020000−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ744-44-44i−4i4i−4i004000000-44-44i−4i4i−4i0000-24-224-42-4−2i2i−2i2i4i−4i4i−4i-20000-22000020000−2i2i−2i2i0000000000000000000000000000000000000000000000000000
χ754-44-44i−4i4i−4i004000000-44-44i−4i4i−4i0000-2-2-22-2222−2i2i−2i2i−2i2i−2i2i100001-13-3-33-10000i−ii−i3i−3i−3i3i000000000000000000000000000000000000000000000000
χ764-44-44i−4i4i−4i004000000-44-44i−4i4i−4i0000-2-2-22-2222−2i2i−2i2i−2i2i−2i2i100001-1-333-3-10000i−ii−i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ774-44-4−4i4i−4i4i004000000-44-4−4i4i−4i4i00004-24-4-22-42−4i4i−4i4i2i−2i2i−2i-20000-220000200002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ784-44-4−4i4i−4i4i004000000-44-4−4i4i−4i4i0000-24-224-42-42i−2i2i−2i−4i4i−4i4i-20000-220000200002i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ794-44-4−4i4i−4i4i004000000-44-4−4i4i−4i4i0000-2-2-22-22222i−2i2i−2i2i−2i2i−2i100001-13-3-33-10000−ii−ii−3i3i3i−3i000000000000000000000000000000000000000000000000
χ804-44-4−4i4i−4i4i004000000-44-4−4i4i−4i4i0000-2-2-22-22222i−2i2i−2i2i−2i2i−2i100001-1-333-3-10000−ii−ii3i−3i−3i3i000000000000000000000000000000000000000000000000
χ814-4-444i−4i−4i4i4-444i−4i44-4-4-4-444i−4i−4i4i4i4i−4i−4i-2-22-22-222−2i2i2i−2i−2i2i2i−2i1-22-22-1111-1-1-1−2i2i−2i2ii−i−iiii−i−i000000000000000000000000000000000000000000000000
χ824-4-444i−4i−4i4i-444−4i4i-4-444-4-444i−4i−4i4i−4i−4i4i4i-2-22-22-222−2i2i2i−2i−2i2i2i−2i12-22-2-11-1-111-12i−2i2i−2ii−i−ii−i−iii000000000000000000000000000000000000000000000000
χ834-4-44−4i4i4i−4i4-44−4i4i44-4-4-4-44−4i4i4i−4i−4i−4i4i4i-2-22-22-2222i−2i−2i2i2i−2i−2i2i1-22-22-1111-1-1-12i−2i2i−2i−iii−i−i−iii000000000000000000000000000000000000000000000000
χ844-4-44−4i4i4i−4i-4444i−4i-4-444-4-44−4i4i4i−4i4i4i−4i−4i-2-22-22-2222i−2i−2i2i2i−2i−2i2i12-22-2-11-1-111-1−2i2i−2i2i−iii−iii−i−i000000000000000000000000000000000000000000000000
χ856666666666-366-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ866666666666-366-3-3-3-3-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ8766666666-6-6-3-6-63333-3-3-3-3-3-3-3333300000000000000000000000000000000000000002222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ8866666666-6-6-3-6-63333-3-3-3-3-3-3-333330000000000000000000000000000000000000000-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ896666-6-6-6-666-3-6-6-3-3-3-3-3-3-333333333000000000000000000000000000000000000000022-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ906666-6-6-6-666-3-6-6-3-3-3-3-3-3-3333333330000000000000000000000000000000000000000-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ916666-6-6-6-6-6-6-3663333-3-3-33333-3-3-3-3000000000000000000000000000000000000000022-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ926666-6-6-6-6-6-6-3663333-3-3-33333-3-3-3-30000000000000000000000000000000000000000-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ9366-6-666-6-600-300−3i33i3−3i33i3-333-3-333−3i33i3−3i33i3000000000000000000000000000000000000000000002i−2i2i−2i3−33−33−33−3−i−iii−i−iii000000000000000000000000
χ9466-6-666-6-600-300−3i33i3−3i33i3-333-3-333−3i33i3−3i33i300000000000000000000000000000000000000000000−2i2i−2i2i−33−33−33−33ii−i−iii−i−i000000000000000000000000
χ9566-6-666-6-600-3003i3−3i33i3−3i3-333-3-3333i3−3i33i3−3i3000000000000000000000000000000000000000000002i−2i2i−2i−33−33−33−33−i−iii−i−iii000000000000000000000000
χ9666-6-666-6-600-3003i3−3i33i3−3i3-333-3-3333i3−3i33i3−3i300000000000000000000000000000000000000000000−2i2i−2i2i3−33−33−33−3ii−i−iii−i−i000000000000000000000000
χ9766-6-6-6-66600-300−3i33i3−3i33i3-33333-3-33i3−3i33i3−3i3000000000000000000000000000000000000000000002i−2i−2i2i3−33−3−33−33−i−iiiii−i−i000000000000000000000000
χ9866-6-6-6-66600-300−3i33i3−3i33i3-33333-3-33i3−3i33i3−3i300000000000000000000000000000000000000000000−2i2i2i−2i−33−333−33−3ii−i−i−i−iii000000000000000000000000
χ9966-6-6-6-66600-3003i3−3i33i3−3i3-33333-3-3−3i33i3−3i33i3000000000000000000000000000000000000000000002i−2i−2i2i−33−333−33−3−i−iiiii−i−i000000000000000000000000
χ10066-6-6-6-66600-3003i3−3i33i3−3i3-33333-3-3−3i33i3−3i33i300000000000000000000000000000000000000000000−2i2i2i−2i3−33−3−33−33ii−i−i−i−iii000000000000000000000000
χ1016-66-66i−6i6i−6i00-300−3i33i33i3−3i33-33−3i3i−3i3i33−33−333300000000000000000000000000000000000000002-22i−2i0000-1-111−i−iii−i3i3−i3i33−33−3000000000000000000000000
χ1026-66-66i−6i6i−6i00-300−3i33i33i3−3i33-33−3i3i−3i3i33−33−33330000000000000000000000000000000000000000-22−2i2i000011-1-1ii−i−ii3−i3i3−i3−33−33000000000000000000000000
χ1036-66-66i−6i6i−6i00-3003i3−3i3−3i33i33-33−3i3i−3i3i−333333−3300000000000000000000000000000000000000002-22i−2i0000-1-111−i−iiii3−i3i3−i3−33−33000000000000000000000000
χ1046-66-66i−6i6i−6i00-3003i3−3i3−3i33i33-33−3i3i−3i3i−333333−330000000000000000000000000000000000000000-22−2i2i000011-1-1ii−i−i−i3i3−i3i33−33−3000000000000000000000000
χ1056-66-6−6i6i−6i6i00-300−3i33i33i3−3i33-333i−3i3i−3i−333333−3300000000000000000000000000000000000000002-2−2i2i0000-1-111ii−i−i−i3i3−i3i3−33−33000000000000000000000000
χ1066-66-6−6i6i−6i6i00-300−3i33i33i3−3i33-333i−3i3i−3i−333333−330000000000000000000000000000000000000000-222i−2i000011-1-1−i−iiii3−i3i3−i33−33−3000000000000000000000000
χ1076-66-6−6i6i−6i6i00-3003i3−3i3−3i33i33-333i−3i3i−3i33−33−333300000000000000000000000000000000000000002-2−2i2i0000-1-111ii−i−ii3−i3i3−i33−33−3000000000000000000000000
χ1086-66-6−6i6i−6i6i00-3003i3−3i3−3i33i33-333i−3i3i−3i33−33−33330000000000000000000000000000000000000000-222i−2i000011-1-1−i−iii−i3i3−i3i3−33−33000000000000000000000000
χ1096-6-666i−6i−6i6i6-6-36i−6i-3-33333-3−3i3i3i−3i−3i−3i3i3i0000000000000000000000000000000000000000000000003−3−33i3−i3−i3i33−3−33i3−i3−i3i3000000000000000000000000
χ1106-6-666i−6i−6i6i6-6-36i−6i-3-33333-3−3i3i3i−3i−3i−3i3i3i000000000000000000000000000000000000000000000000−333−3−i3i3i3−i3−333−3−i3i3i3−i3000000000000000000000000
χ1116-6-666i−6i−6i6i-66-3−6i6i33-3-333-3−3i3i3i−3i3i3i−3i−3i0000000000000000000000000000000000000000000000003−3−33i3−i3−i3i3−333−3−i3i3i3−i3000000000000000000000000
χ1126-6-666i−6i−6i6i-66-3−6i6i33-3-333-3−3i3i3i−3i3i3i−3i−3i000000000000000000000000000000000000000000000000−333−3−i3i3i3−i33−3−33i3−i3−i3i3000000000000000000000000
χ1136-6-66−6i6i6i−6i6-6-3−6i6i-3-33333-33i−3i−3i3i3i3i−3i−3i0000000000000000000000000000000000000000000000003−3−33−i3i3i3−i33−3−33−i3i3i3−i3000000000000000000000000
χ1146-6-66−6i6i6i−6i6-6-3−6i6i-3-33333-33i−3i−3i3i3i3i−3i−3i000000000000000000000000000000000000000000000000−333−3i3−i3−i3i3−333−3i3−i3−i3i3000000000000000000000000
χ1156-6-66−6i6i6i−6i-66-36i−6i33-3-333-33i−3i−3i3i−3i−3i3i3i0000000000000000000000000000000000000000000000003−3−33−i3i3i3−i3−333−3i3−i3−i3i3000000000000000000000000
χ1166-6-66−6i6i6i−6i-66-36i−6i33-3-333-33i−3i−3i3i−3i−3i3i3i000000000000000000000000000000000000000000000000−333−3i3−i3−i3i33−3−33−i3i3i3−i3000000000000000000000000

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