Finite Group Databasebeta

← Group #13138930

Character table — Group #13138930

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order1222444436668888121212122424242433666666121212121212121224242424242424243666121212122424242424242424242424244444888812121212121212122424242424242424224466668888121212122424242424242424
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
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111
χ5111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ7111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-11111-1-1-1-1-1-11111
χ8111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-11111-1-1-1-1111111-1-1-1-1
χ91111-1-1-1-11111ii−i−i-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-11111i−ii−i-1-1-1-1ii−i−iii−i−i
χ101111-1-1-1-11111ii−i−i-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-1−ii−ii1111−i−iii−i−iii
χ111111-1-1-1-11111ii−i−i-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1-1111-1-1i−i−ii-1-111ii−i−i−i−iii
χ121111-1-1-1-11111ii−i−i-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-111-1-1-111−iii−i11-1-1−i−iiiii−i−i
χ131111-1-1-1-11111−i−iii-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-11111−ii−ii-1-1-1-1−i−iii−i−iii
χ141111-1-1-1-11111−i−iii-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-1i−ii−i1111ii−i−iii−i−i
χ151111-1-1-1-11111−i−iii-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1-1111-1-1−iii−i-1-111−i−iiiii−i−i
χ161111-1-1-1-11111−i−iii-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-111-1-1-111i−i−ii11-1-1ii−i−i−i−iii
χ172222222222222222222222222-1-1-1222-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000020200-1-1002200-1-10000-1-1-1-1
χ182222222222222222222222222-1-1-1222-122-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000-20-2001100-2-2001100001111
χ19222222222222222222222222-1222-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ20222222222222222222222222-1222-1-1-12-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ21222222222222-2-2-2-22222-2-2-2-22-1-1-1222-122-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000020200-1-100-2-200-1-100001111
χ22222222222222-2-2-2-22222-2-2-2-22-1-1-1222-122-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111110000000000000000000000000-20-20011002200110000-1-1-1-1
χ23222222222222-2-2-2-22222-2-2-2-2-1222-1-1-12-1-122-1-12211111111-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ24222222222222-2-2-2-22222-2-2-2-2-1222-1-1-12-1-122-1-12211111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ252222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i−2i−2i2-1-1-1222-1-2-211-2-2112i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−iii−i−i−i−iiiii000000000000000000000000020-200-1-1002i−2i00110000−i−iii
χ262222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i−2i−2i2-1-1-1222-1-2-211-2-2112i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−iii−i−i−i−iiiii0000000000000000000000000-202001100−2i2i00-1-10000ii−i−i
χ272222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i−2i−2i-1222-1-1-1211-2-211-2-2−i−i−i−iiiii-1-1-1-111112i2i−2i−2i−i−i−i−iiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii000000000000000000000000
χ282222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i−2i−2i-1222-1-1-1211-2-211-2-2−i−i−i−iiiii-1-1-1-111112i2i−2i−2i−i−i−i−iiiii-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i000000000000000000000000
χ292222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i2i2i2-1-1-1222-1-2-211-2-211−2i−2i−2i−2i2i2i2i2i-1-1-1-11111ii−i−iiiii−i−i−i−i000000000000000000000000020-200-1-100−2i2i00110000ii−i−i
χ302222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i2i2i2-1-1-1222-1-2-211-2-211−2i−2i−2i−2i2i2i2i2i-1-1-1-11111ii−i−iiiii−i−i−i−i0000000000000000000000000-2020011002i−2i00-1-10000−i−iii
χ312222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i2i2i-1222-1-1-1211-2-211-2-2iiii−i−i−i−i-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i000000000000000000000000
χ322222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i2i2i-1222-1-1-1211-2-211-2-2iiii−i−i−i−i-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii000000000000000000000000
χ3322-2-22i−2i2i−2i22-2-200002i−2i2i−2i0000222-2-22-2-22i−2i2i−2i2i−2i2i−2i0000000022-2-22i−2i2i−2i0000000000002-22i−2i000022-2-22i2i−2i−2i00000000000000000000000000000000
χ3422-2-22i−2i2i−2i22-2-200002i−2i2i−2i0000222-2-22-2-22i−2i2i−2i2i−2i2i−2i0000000022-2-22i−2i2i−2i000000000000-22−2i2i0000-2-222−2i−2i2i2i00000000000000000000000000000000
χ3522-2-22i−2i2i−2i22-2-200002i−2i2i−2i0000-122-21-11-2−ii2i−2i−ii2i−2i−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13-1-111−ii−ii0000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ132-22i−2i0000-1-111−i−iii−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000000000000000
χ3622-2-22i−2i2i−2i22-2-200002i−2i2i−2i0000-122-21-11-2−ii2i−2i−ii2i−2i−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13-1-111−ii−ii0000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13-22−2i2i000011-1-1ii−i−iζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000000000000000
χ3722-2-22i−2i2i−2i22-2-200002i−2i2i−2i0000-122-21-11-2−ii2i−2i−ii2i−2iζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13-1-111−ii−ii0000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ132-22i−2i0000-1-111−i−iiiζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000000000000000
χ3822-2-22i−2i2i−2i22-2-200002i−2i2i−2i0000-122-21-11-2−ii2i−2i−ii2i−2iζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13-1-111−ii−ii0000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13-22−2i2i000011-1-1ii−i−i−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000000000000000
χ3922-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i0000222-2-22-2-2−2i2i−2i2i−2i2i−2i2i0000000022-2-2−2i2i−2i2i0000000000002-2−2i2i000022-2-2−2i−2i2i2i00000000000000000000000000000000
χ4022-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i0000222-2-22-2-2−2i2i−2i2i−2i2i−2i2i0000000022-2-2−2i2i−2i2i000000000000-222i−2i0000-2-2222i2i−2i−2i00000000000000000000000000000000
χ4122-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i0000-122-21-11-2i−i−2i2ii−i−2i2iζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23-1-111i−ii−i0000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ232-2−2i2i0000-1-111ii−i−iζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000000000000000
χ4222-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i0000-122-21-11-2i−i−2i2ii−i−2i2iζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23-1-111i−ii−i0000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23-222i−2i000011-1-1−i−iii−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000000000000000
χ4322-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i0000-122-21-11-2i−i−2i2ii−i−2i2i−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23-1-111i−ii−i0000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ232-2−2i2i0000-1-111ii−i−i−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000000000000000
χ4422-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i0000-122-21-11-2i−i−2i2ii−i−2i2i−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23-1-111i−ii−i0000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23-222i−2i000011-1-1−i−iiiζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000000000000000
χ452-22-22i−2i−2i2i2-22-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322-22-2-22-22i−2i2i−2i−2i2i−2i2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132-22-2−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000000000000000000000000000
χ462-22-22i−2i−2i2i2-22-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-11-1-2-2212i−2i−ii−2i2ii−i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13-11-11i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13000000000000000000000000000000−i3i30000003−30000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ472-22-22i−2i−2i2i2-22-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-11-1-2-2212i−2i−ii−2i2ii−i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13-11-11i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13000000000000000000000000000000i3−i3000000−330000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ482-22-22i−2i−2i2i2-22-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-12-2211-1-2−ii2i−2ii−i−2i2i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13-11-11i−i−ii2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13000000003−33−3−i3i3−i3i3ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000
χ492-22-22i−2i−2i2i2-22-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-12-2211-1-2−ii2i−2ii−i−2i2i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13-11-11i−i−ii2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300000000−33−33i3−i3i3−i3−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000
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χ9866666666-3-3-3-36666-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-20-201100-2-200110011110000
χ9966666666-3-3-3-3-6-6-6-6-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000002020-1-100-2-200-1-10011110000
χ10066666666-3-3-3-3-6-6-6-6-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-20-20110022001100-1-1-1-10000
χ1016666-6-6-6-6-3-3-3-36i6i−6i−6i3333−3i−3i3i3i0000000000000000000000000000000000000000000000000000000000000000000020-20-1-1002i−2i001100−i−iii0000
χ1026666-6-6-6-6-3-3-3-36i6i−6i−6i3333−3i−3i3i3i00000000000000000000000000000000000000000000000000000000000000000000-20201100−2i2i00-1-100ii−i−i0000
χ1036666-6-6-6-6-3-3-3-3−6i−6i6i6i33333i3i−3i−3i0000000000000000000000000000000000000000000000000000000000000000000020-20-1-100−2i2i001100ii−i−i0000
χ1046666-6-6-6-6-3-3-3-3−6i−6i6i6i33333i3i−3i−3i00000000000000000000000000000000000000000000000000000000000000000000-202011002i−2i00-1-100−i−iii0000
χ1056-66-66i−6i−6i6i-33-336ζ7+6ζ23−6ζ7−6ζ23−6ζ5−6ζ136ζ5+6ζ13−3i3i3i−3i−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000000000000000000000000000000000000000000000000000−i3i30000003−300−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ1066-66-66i−6i−6i6i-33-336ζ7+6ζ23−6ζ7−6ζ23−6ζ5−6ζ136ζ5+6ζ13−3i3i3i−3i−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000000000000000000000000000000000000000000000000000i3−i3000000−3300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ1076-66-66i−6i−6i6i-33-33−6ζ7−6ζ236ζ7+6ζ236ζ5+6ζ13−6ζ5−6ζ13−3i3i3i−3i3ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000000000000000000000000000000000000000000000−i3i30000003−300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ1086-66-66i−6i−6i6i-33-33−6ζ7−6ζ236ζ7+6ζ236ζ5+6ζ13−6ζ5−6ζ13−3i3i3i−3i3ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000000000000000000000000000000000000000000000i3−i3000000−3300−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ1096-66-6−6i6i6i−6i-33-33−6ζ5−6ζ136ζ5+6ζ136ζ7+6ζ23−6ζ7−6ζ233i−3i−3i3i3ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000000000000000000000000000000000000000000000−i3i3000000−3300−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ1106-66-6−6i6i6i−6i-33-33−6ζ5−6ζ136ζ5+6ζ136ζ7+6ζ23−6ζ7−6ζ233i−3i−3i3i3ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000000000000000000000000000000000000000000000i3−i30000003−300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ1116-66-6−6i6i6i−6i-33-336ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ233i−3i−3i3i−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000000000000000000000000000000000000000000000−i3i3000000−3300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ1126-66-6−6i6i6i−6i-33-336ζ5+6ζ13−6ζ5−6ζ13−6ζ7−6ζ236ζ7+6ζ233i−3i−3i3i−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000000000000000000000000000000000000000000000i3−i30000003−300−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ1131212-12-1212i−12i12i−12i-6-6660000−6i6i−6i6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12−12i12i−12i12i-6-66600006i−6i6i−6i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-12-12121212-12-12-666-60000-6-666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-12-1212-12-121212-666-6000066-6-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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