Finite Group Databasebeta

← Group #10590725

Character table — Group #10590725

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11111111222222222222222244444444444444444444444444666666661212121212121212121212121212121212121212181818183636
order1222444433666666121212121212121236668812121212242424242424242424242424242424242244888824666688121212122424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1
χ61111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1
χ91111-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1-11111i−i-1-1-1-1ii−i−iii−i−iii−i−i1-1
χ101111-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii-1111-1-1i−i-1-111ii−i−i−i−iii−i−iii-11
χ111111-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−i1-1-1-111−ii11-1-1−i−iiiii−i−i−i−iii-11
χ121111-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-11-1-1-1-1−ii1111−i−iii−i−iiiii−i−i1-1
χ131111-1-1-1-111111111-1-1-1-1-1-1-1-11111−ii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i-1111-1-1−ii-1-111−i−iiiii−i−iii−i−i-11
χ141111-1-1-1-111111111-1-1-1-1-1-1-1-11111−ii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1-11111−ii-1-1-1-1−i−iii−i−iii−i−iii1-1
χ151111-1-1-1-111111111-1-1-1-1-1-1-1-11111−ii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-11-1-1-1-1i−i1111ii−i−iii−i−i−i−iii1-1
χ161111-1-1-1-111111111-1-1-1-1-1-1-1-11111−ii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iii1-1-1-111i−i11-1-1ii−i−i−i−iiiii−i−i-11
χ17222222222-122-1-12-122-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1000022222200-1-10000-1-10000-1-1-1-1000000
χ18222222222-122-1-12-122-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2001100001100001111000000
χ19222222222-122-1-12-122-1-122-1-1-1-1-1-1-2-2-1-1-1-1-2-211-2-2111111111100002222-2-200110000110000-1-1-1-1000000
χ20222222222-122-1-12-122-1-122-1-1-1-1-1-1-2-2-1-1-1-1-2-211-2-211111111110000-2-2-2-22200-1-10000-1-100001111000000
χ2122222222-12-1-122-12-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222000000-1-10022-1-100-1-1-1-10000000000
χ2222222222-12-1-122-12-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20000001100-2-2110011110000000000
χ2322222222-12-1-122-12-1-122-1-122-1-1-1-1-2-2-1-1-1-111-2-211-2-2111111112222000000-1-100-2-2-1-10011110000000000
χ2422222222-12-1-122-12-1-122-1-122-1-1-1-1-2-2-1-1-1-111-2-211-2-211111111-2-2-2-20000001100221100-1-1-1-10000000000
χ252222-2-2-2-22-122-1-12-1-2-211-2-211-1-1-1-12i−2i11112i2i−i−i−2i−2iii−i−i−i−iiiii00002i2i−2i−2i2-200-1-10000110000−i−iii000000
χ262222-2-2-2-22-122-1-12-1-2-211-2-211-1-1-1-12i−2i11112i2i−i−i−2i−2iii−i−i−i−iiiii0000−2i−2i2i2i-2200110000-1-10000ii−i−i000000
χ272222-2-2-2-22-122-1-12-1-2-211-2-211-1-1-1-1−2i2i1111−2i−2iii2i2i−i−iiiii−i−i−i−i00002i2i−2i−2i-2200110000-1-10000−i−iii000000
χ282222-2-2-2-22-122-1-12-1-2-211-2-211-1-1-1-1−2i2i1111−2i−2iii2i2i−i−iiiii−i−i−i−i0000−2i−2i2i2i2-200-1-10000110000ii−i−i000000
χ292222-2-2-2-2-12-1-122-1211-2-211-2-2-1-1-1-12i−2i1111−i−i2i2iii−2i−2i−i−i−i−iiiii22-2-2000000-1-1002i−2i1100−i−iii0000000000
χ302222-2-2-2-2-12-1-122-1211-2-211-2-2-1-1-1-12i−2i1111−i−i2i2iii−2i−2i−i−i−i−iiiii-2-2220000001100−2i2i-1-100ii−i−i0000000000
χ312222-2-2-2-2-12-1-122-1211-2-211-2-2-1-1-1-1−2i2i1111ii−2i−2i−i−i2i2iiiii−i−i−i−i22-2-2000000-1-100−2i2i1100ii−i−i0000000000
χ322222-2-2-2-2-12-1-122-1211-2-211-2-2-1-1-1-1−2i2i1111ii−2i−2i−i−i2i2iiiii−i−i−i−i-2-22200000011002i−2i-1-100−i−iii0000000000
χ3322-2-222-2-222-2-2-2-2222222-2-2-2-22-2-2200-2-222000000000000000000000000000000000000000000002i−2i2i−2i00
χ3422-2-222-2-222-2-2-2-2222222-2-2-2-22-2-2200-2-22200000000000000000000000000000000000000000000−2i2i−2i2i00
χ3522-2-2-2-22222-2-2-2-222-2-2-2-222222-2-220022-2-2000000000000000000000000000000000000000000002-2-2200
χ3622-2-2-2-22222-2-2-2-222-2-2-2-222222-2-220022-2-200000000000000000000000000000000000000000000-222-200
χ372-22-22i−2i2i−2i222-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-2002i−2i2i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000
χ382-22-22i−2i2i−2i222-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-2002i−2i2i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000
χ392-22-22i−2i2i−2i2-12-2-11-212i−2i−ii2i−2i−ii-1-11100−ii−ii00−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−i3i300003−30000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13000000
χ402-22-22i−2i2i−2i2-12-2-11-212i−2i−ii2i−2i−ii-1-11100−ii−ii00−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000i3−i30000−330000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13000000
χ412-22-22i−2i2i−2i2-12-2-11-212i−2i−ii2i−2i−ii-1-11100−ii−ii00ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000i3−i30000−330000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13000000
χ422-22-22i−2i2i−2i2-12-2-11-212i−2i−ii2i−2i−ii-1-11100−ii−ii00ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−i3i300003−30000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13000000
χ432-22-2−2i2i−2i2i222-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-200−2i2i−2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000
χ442-22-2−2i2i−2i2i222-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-200−2i2i−2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000
χ452-22-2−2i2i−2i2i2-12-2-11-21−2i2ii−i−2i2ii−i-1-11100i−ii−i00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000i3−i300003−30000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23000000
χ462-22-2−2i2i−2i2i2-12-2-11-21−2i2ii−i−2i2ii−i-1-11100i−ii−i00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−i3i30000−330000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23000000
χ472-22-2−2i2i−2i2i2-12-2-11-21−2i2ii−i−2i2ii−i-1-11100i−ii−i00−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−i3i30000−330000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23000000
χ482-22-2−2i2i−2i2i2-12-2-11-21−2i2ii−i−2i2ii−i-1-11100i−ii−i00−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000i3−i300003−30000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23000000
χ492-2-222i−2i−2i2i22-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-200−2i2i2i−2i00000000000000002-22i−2i0000002-200002i−2i0000000000000000
χ502-2-222i−2i−2i2i22-22-22-2-22i−2i2i−2i−2i2i−2i2i2-22-200−2i2i2i−2i0000000000000000-22−2i2i000000-220000−2i2i0000000000000000
χ512-2-222i−2i−2i2i-121-1-221-2−ii2i−2ii−i−2i2i-11-1100i−i−ii−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ132-22i−2i000000-110000−ii00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ522-2-222i−2i−2i2i-121-1-221-2−ii2i−2ii−i−2i2i-11-1100i−i−ii−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13-22−2i2i0000001-10000i−i00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ532-2-222i−2i−2i2i-121-1-221-2−ii2i−2ii−i−2i2i-11-1100i−i−iiζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ132-22i−2i000000-110000−ii00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ542-2-222i−2i−2i2i-121-1-221-2−ii2i−2ii−i−2i2i-11-1100i−i−iiζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13-22−2i2i0000001-10000i−i00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ552-2-22−2i2i2i−2i22-22-22-2-2−2i2i−2i2i2i−2i2i−2i2-22-2002i−2i−2i2i00000000000000002-2−2i2i0000002-20000−2i2i0000000000000000
χ562-2-22−2i2i2i−2i22-22-22-2-2−2i2i−2i2i2i−2i2i−2i2-22-2002i−2i−2i2i0000000000000000-222i−2i000000-2200002i−2i0000000000000000
χ572-2-22−2i2i2i−2i-121-1-221-2i−i−2i2i−ii2i−2i-11-1100−iii−iζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ232-2−2i2i000000-110000i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ582-2-22−2i2i2i−2i-121-1-221-2i−i−2i2i−ii2i−2i-11-1100−iii−iζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23-222i−2i0000001-10000−ii00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ592-2-22−2i2i2i−2i-121-1-221-2i−i−2i2i−ii2i−2i-11-1100−iii−i−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ232-2−2i2i000000-110000i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ602-2-22−2i2i2i−2i-121-1-221-2i−i−2i2i−ii2i−2i-11-1100−iii−i−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23-222i−2i0000001-10000−ii00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
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χ634444-4-4-4-4-2-2-2-2-2-2-2-22222222211114i−4i-1-1-1-1−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−i0000000000000000000000000000000000
χ644444-4-4-4-4-2-2-2-2-2-2-2-2222222221111−4i4i-1-1-1-12i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii0000000000000000000000000000000000
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χ7244-4-4-4-444-2-22222-2-22222-2-2-2-21-1-110011-1-100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
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χ744-44-44i−4i4i−4i-2-2-22-2222−2i2i−2i2i−2i2i−2i2i11-1-100i−ii−i00−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ130000000000000000000000000000000000
χ754-44-44i−4i4i−4i-2-2-22-2222−2i2i−2i2i−2i2i−2i2i11-1-100i−ii−i002ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000000000000000000000000000000000
χ764-44-4−4i4i−4i4i-24-224-42-42i−2i−4i4i2i−2i−4i4i-2-222002i−2i2i−2i00000000000000000000000000000000000000000000000000
χ774-44-4−4i4i−4i4i-2-2-22-22222i−2i2i−2i2i−2i2i−2i11-1-100−ii−ii002ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ230000000000000000000000000000000000
χ784-44-4−4i4i−4i4i-2-2-22-22222i−2i2i−2i2i−2i2i−2i11-1-100−ii−ii00−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000000000000000000000000000000000
χ794-4-444i−4i−4i4i4-2-442-2-424i−4i−2i2i−4i4i2i−2i-22-22002i−2i−2i2i00000000000000000000000000000000000000000000000000
χ804-4-444i−4i−4i4i-2-22-22-222−2i2i−2i2i2i−2i2i−2i1-11-100−iii−i−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000000000000000000000000000000000
χ814-4-444i−4i−4i4i-2-22-22-222−2i2i−2i2i2i−2i2i−2i1-11-100−iii−i2ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000000000000000000000000000000000
χ824-4-44−4i4i4i−4i4-2-442-2-42−4i4i2i−2i4i−4i−2i2i-22-2200−2i2i2i−2i00000000000000000000000000000000000000000000000000
χ834-4-44−4i4i4i−4i-2-22-22-2222i−2i2i−2i−2i2i−2i2i1-11-100i−i−ii2ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000000000000000000000000000000000
χ844-4-44−4i4i4i−4i-2-22-22-2222i−2i2i−2i−2i2i−2i2i1-11-100i−i−ii−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000000000000000000000000000000000

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