Finite Group Databasebeta

← Group #13166396

Character table — Group #13166396

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444444466668888888888888888999912121212121212121212121212121212181818181818363636363636363636363636363654545454108108108108
order1244234612123366666661212121212121212128888336666661212121212121212224424242424242424242424242424242424246612126888812242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1ii−i−i-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ4111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1−i−iii-1−i−i−i−iiiii-1-1-1-1−i−iii
χ51111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1iiii−i−i−i−i1111−i−iii
χ81111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1−i−i−i−iiiii1111ii−i−i
χ911-1-1-1111-1-111-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1i−ii−i1ii−i−iii−i−i11-1-1i−ii−i
χ1011-1-1-1111-1-111-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1−ii−ii1−i−iii−i−iii11-1-1−ii−ii
χ1111-1-1-1111-1-111-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-11111-1-11-111-1-1-1-111-1-1111-1-11
χ1211-1-1-1111-1-111-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-111-1-1-1-11111-1-1-1-111-111-1
χ1311-1-1-1111-1-111-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1i−ii−i1ii−i−iii−i−i-1-111−ii−ii
χ1411-1-1-1111-1-111-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1−ii−ii1−i−iii−i−iii-1-111i−ii−i
χ1511-1-1-1111-1-111-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11-111-1-1-1-11111-1-1-111-1
χ1611-1-1-1111-1-111-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1111-111-1-1-1-11111-1-111-1-11-1-11
χ1722222-12-1-1-122-1222222-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000
χ1822222-12-1-1-122-1222222-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022-1-1-1-1-1-2-2-2-2-11111111100000000
χ1922222-12-1-1-122-1222222-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-2111112i2i−2i−2i1−i−i−i−iiiii00000000
χ2022222-12-1-1-122-1222222-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-211111−2i−2i2i2i1iiii−i−i−i−i00000000
χ212222-22-222222-2-2-2-2-222-22222-2-2-2-2000022-2-2-2-222-2-2-2-2222222220000000000000000-2-22222-20000-20000000000000000
χ222222-22-222222-2-2-2-2-222-22222-2-2-2-2000022-2-2-2-222-2-2-2-22222-2-2-2-2000000000000000022-2-2-2-22000020000000000000000
χ232222-2-1-2-1-1-1221-2-2-2-22212222-2-2-2-20000-1-11111-1-11111-1-1-1-122220000000000000000-2-2-1-1-1-1100001−i3i3−i3i3−i3i3−i3i300000000
χ242222-2-1-2-1-1-1221-2-2-2-22212222-2-2-2-20000-1-11111-1-11111-1-1-1-122220000000000000000-2-2-1-1-1-1100001i3−i3i3−i3i3−i3i3−i300000000
χ252222-2-1-2-1-1-1221-2-2-2-22212222-2-2-2-20000-1-11111-1-11111-1-1-1-1-2-2-2-20000000000000000221111-10000-13−33−3−33−3300000000
χ262222-2-1-2-1-1-1221-2-2-2-22212222-2-2-2-20000-1-11111-1-11111-1-1-1-1-2-2-2-20000000000000000221111-10000-1−33−333−33−300000000
χ2722-2-222-22-2-2222222222-2-2-2-2-2-2-2-2-2000022222222-2-2-2-2-2-2-2-222-2-200000000000000002-222-2-220000-20000000000000000
χ2822-2-222-22-2-2222222222-2-2-2-2-2-2-2-2-2000022222222-2-2-2-2-2-2-2-2-2-2220000000000000000-22-2-222-2000020000000000000000
χ2922-2-22-1-2-11122-12222221-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-11111111122-2-200000000000000002-2-1-111-1000013−3−333−3−3300000000
χ3022-2-22-1-2-11122-12222221-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-11111111122-2-200000000000000002-2-1-111-100001−333−3−333−300000000
χ3122-2-22-1-2-11122-12222221-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-111111111-2-2220000000000000000-2211-1-110000-1−i3i3i3−i3i3−i3−i3i300000000
χ3222-2-22-1-2-11122-12222221-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-111111111-2-2220000000000000000-2211-1-110000-1i3−i3−i3i3−i3i3i3−i300000000
χ3322-2-2-2-12-111221-2-2-2-222-1-2-2-2-222220000-1-11111-1-1-1-1-1-1111122-2-20000000000000000-22-1-11112i−2i2i−2i-1−i−iii−i−iii00000000
χ3422-2-2-2-12-111221-2-2-2-222-1-2-2-2-222220000-1-11111-1-1-1-1-1-1111122-2-20000000000000000-22-1-1111−2i2i−2i2i-1ii−i−iii−i−i00000000
χ3522-2-2-2-12-111221-2-2-2-222-1-2-2-2-222220000-1-11111-1-1-1-1-1-11111-2-22200000000000000002-211-1-1-12-2-221-1-11111-1-100000000
χ3622-2-2-2-12-111221-2-2-2-222-1-2-2-2-222220000-1-11111-1-1-1-1-1-11111-2-22200000000000000002-211-1-1-1-222-2111-1-1-1-11100000000
χ372-22i−2i020-22i−2i2200000-2-202i2i−2i−2i00002−2−i2i2220000-2-200002i2i−2i−2i2-22i−2i2222−2−2−2−2−i2−i2−i2−i2i2i2i2i2002-22i−2i000000000000002−2−i2i20000
χ382-22i−2i020-22i−2i2200000-2-202i2i−2i−2i00002−2−i2i2220000-2-200002i2i−2i−2i-22−2i2i2222−2−2−2−2−i2−i2−i2−i2i2i2i2i200-22−2i2i00000000000000−22i2−i20000
χ392-22i−2i020-22i−2i2200000-2-202i2i−2i−2i0000−22i2−i2220000-2-200002i2i−2i−2i2-22i−2i−2−2−2−22222i2i2i2i2−i2−i2−i2−i2002-22i−2i00000000000000−22i2−i20000
χ402-22i−2i020-22i−2i2200000-2-202i2i−2i−2i0000−22i2−i2220000-2-200002i2i−2i−2i-22−2i2i−2−2−2−22222i2i2i2i2−i2−i2−i2−i200-22−2i2i000000000000002−2−i2i20000
χ412-2−2i2i020-2−2i2i2200000-2-20−2i−2i2i2i00002−2i2−i2220000-2-20000−2i−2i2i2i2-2−2i2i2222−2−2−2−2i2i2i2i2−i2−i2−i2−i2002-2−2i2i000000000000002−2i2−i20000
χ422-2−2i2i020-2−2i2i2200000-2-20−2i−2i2i2i00002−2i2−i2220000-2-20000−2i−2i2i2i-222i−2i2222−2−2−2−2i2i2i2i2−i2−i2−i2−i200-222i−2i00000000000000−22−i2i20000
χ432-2−2i2i020-2−2i2i2200000-2-20−2i−2i2i2i0000−22−i2i2220000-2-20000−2i−2i2i2i2-2−2i2i−2−2−2−22222−i2−i2−i2−i2i2i2i2i2002-2−2i2i00000000000000−22−i2i20000
χ442-2−2i2i020-2−2i2i2200000-2-20−2i−2i2i2i0000−22−i2i2220000-2-20000−2i−2i2i2i-222i−2i−2−2−2−22222−i2−i2−i2−i2i2i2i2i200-222i−2i000000000000002−2i2−i20000
χ4544444444441-2411-2-21-241-21-211-2-244441-211-2-21-211-2-21-21-2000011-2-211-2-211-2-211-2-20000000000000000000000000000
χ4644444444441-2411-2-21-241-21-211-2-2-4-4-4-41-211-2-21-211-2-21-21-20000-1-122-1-122-1-122-1-1220000000000000000000000000000
χ474444444444-214-2-211-214-21-21-2-2114444-21-2-211-21-2-211-21-210000-2-211-2-211-2-211-2-2110000000000000000000000000000
χ484444444444-214-2-211-214-21-21-2-211-4-4-4-4-21-2-211-21-2-211-21-21000022-1-122-1-122-1-122-1-10000000000000000000000000000
χ494444-44-44441-2-4-1-1221-2-41-21-2-1-12200001-2-1-1221-2-1-1221-21-200003i−3i003i−3i003i−3i003i−3i000000000000000000000000000000
χ504444-44-44441-2-4-1-1221-2-41-21-2-1-12200001-2-1-1221-2-1-1221-21-20000−3i3i00−3i3i00−3i3i00−3i3i000000000000000000000000000000
χ514444-44-4444-21-422-1-1-21-4-21-2122-1-10000-2122-1-1-2122-1-1-21-210000003i−3i003i−3i003i−3i003i−3i0000000000000000000000000000
χ524444-44-4444-21-422-1-1-21-4-21-2122-1-10000-2122-1-1-2122-1-1-21-21000000−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000000000
χ5344-4-444-44-4-41-2411-2-21-2-4-12-12-1-12200001-211-2-21-2-1-122-12-1200003i−3i003i−3i00−3i3i00−3i3i000000000000000000000000000000
χ5444-4-444-44-4-41-2411-2-21-2-4-12-12-1-12200001-211-2-21-2-1-122-12-120000−3i3i00−3i3i003i−3i003i−3i000000000000000000000000000000
χ5544-4-444-44-4-4-214-2-211-21-42-12-122-1-10000-21-2-211-2122-1-12-12-10000003i−3i003i−3i00−3i3i00−3i3i0000000000000000000000000000
χ5644-4-444-44-4-4-214-2-211-21-42-12-122-1-10000-21-2-211-2122-1-12-12-1000000−3i3i00−3i3i003i−3i003i−3i0000000000000000000000000000
χ5744-4-4-4444-4-41-2-4-1-1221-24-12-1211-2-244-4-41-2-1-1221-211-2-2-12-12000011-2-211-2-2-1-122-1-1220000000000000000000000000000
χ5844-4-4-4444-4-41-2-4-1-1221-24-12-1211-2-2-4-4441-2-1-1221-211-2-2-12-120000-1-122-1-12211-2-211-2-20000000000000000000000000000
χ5944-4-4-4444-4-4-21-422-1-1-2142-12-1-2-21144-4-4-2122-1-1-21-2-2112-12-10000-2-211-2-21122-1-122-1-10000000000000000000000000000
χ6044-4-4-4444-4-4-21-422-1-1-2142-12-1-2-211-4-444-2122-1-1-21-2-2112-12-1000022-1-122-1-1-2-211-2-2110000000000000000000000000000
χ614-44i−4i040-44i−4i1-203-300-120i−2i−i2i3i−3i0022−22−2i22i21-23-300-123i−3i00i−2i−i2i0000−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i20000000000000000000000000000
χ624-44i−4i040-44i−4i1-203-300-120i−2i−i2i3i−3i00−22222i2−2i21-23-300-123i−3i00i−2i−i2i00002ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i20000000000000000000000000000
χ634-44i−4i040-44i−4i1-20-3300-120i−2i−i2i−3i3i0022−22−2i22i21-2-3300-12−3i3i00i−2i−i2i0000ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i20000000000000000000000000000
χ644-44i−4i040-44i−4i1-20-3300-120i−2i−i2i−3i3i00−22222i2−2i21-2-3300-12−3i3i00i−2i−i2i0000−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i20000000000000000000000000000
χ654-44i−4i040-44i−4i-210003-32-10−2ii2i−i003i−3i22−22−2i22i2-21003-32-1003i−3i−2ii2i−i0000−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000
χ664-44i−4i040-44i−4i-210003-32-10−2ii2i−i003i−3i−22222i2−2i2-21003-32-1003i−3i−2ii2i−i0000222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000
χ674-44i−4i040-44i−4i-21000-332-10−2ii2i−i00−3i3i22−22−2i22i2-2100-332-100−3i3i−2ii2i−i0000−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000
χ684-44i−4i040-44i−4i-21000-332-10−2ii2i−i00−3i3i−22222i2−2i2-2100-332-100−3i3i−2ii2i−i000022−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000
χ694-44i−4i0-202−2i2i4400000-4-404i4i−4i−4i00000000-2-20000220000−2i−2i2i2i4-44i−4i000000000000000000-22−2i2i0000000000000000000000
χ704-44i−4i0-202−2i2i4400000-4-404i4i−4i−4i00000000-2-20000220000−2i−2i2i2i-44−4i4i0000000000000000002-22i−2i0000000000000000000000
χ714-4−4i4i040-4−4i4i1-203-300-120−i2ii−2i−3i3i0022−222i2−2i21-23-300-12−3i3i00−i2ii−2i0000ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23222ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i20000000000000000000000000000
χ724-4−4i4i040-4−4i4i1-203-300-120−i2ii−2i−3i3i00−2222−2i22i21-23-300-12−3i3i00−i2ii−2i0000−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2322ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2−2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i20000000000000000000000000000
χ734-4−4i4i040-4−4i4i1-20-3300-120−i2ii−2i3i−3i0022−222i2−2i21-2-3300-123i−3i00−i2ii−2i0000−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i20000000000000000000000000000
χ744-4−4i4i040-4−4i4i1-20-3300-120−i2ii−2i3i−3i00−2222−2i22i21-2-3300-123i−3i00−i2ii−2i00002ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2322−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−2−2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i20000000000000000000000000000
χ754-4−4i4i040-4−4i4i-210003-32-102i−i−2ii00−3i3i22−222i2−2i2-21003-32-100−3i3i2i−i−2ii0000−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2322−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000
χ764-4−4i4i040-4−4i4i-210003-32-102i−i−2ii00−3i3i−2222−2i22i2-21003-32-100−3i3i2i−i−2ii000022−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2−2ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000
χ774-4−4i4i040-4−4i4i-21000-332-102i−i−2ii003i−3i22−222i2−2i2-2100-332-1003i−3i2i−i−2ii0000−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000
χ784-4−4i4i040-4−4i4i-21000-332-102i−i−2ii003i−3i−2222−2i22i2-2100-332-1003i−3i2i−i−2ii0000222ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2−2−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000
χ794-4−4i4i0-2022i−2i4400000-4-40−4i−4i4i4i00000000-2-200002200002i2i−2i−2i4-4−4i4i000000000000000000-222i−2i0000000000000000000000
χ804-4−4i4i0-2022i−2i4400000-4-40−4i−4i4i4i00000000-2-200002200002i2i−2i−2i-444i−4i0000000000000000002-2−2i2i0000000000000000000000
χ8188888-48-4-4-42-4-422-4-42-4-42-42-422-4-40000-12-1-122-12-1-122-12-12000000000000000000000000000000000000000000000000
χ8288888-48-4-4-4-42-4-4-422-42-4-42-42-4-42200002-122-1-12-122-1-12-12-1000000000000000000000000000000000000000000000000
χ838888-8-4-8-4-4-42-44-2-2442-442-42-4-2-2440000-1211-2-2-1211-2-2-12-12000000000000000000000000000000000000000000000000
χ848888-8-4-8-4-4-4-42444-2-2-424-42-4244-2-200002-1-2-2112-1-2-2112-12-1000000000000000000000000000000000000000000000000
χ8588-8-88-4-8-4442-4-422-4-42-44-24-24-2-2440000-12-1-122-1211-2-21-21-2000000000000000000000000000000000000000000000000
χ8688-8-88-4-8-444-42-4-4-422-4244-24-244-2-200002-122-1-12-1-2-211-21-21000000000000000000000000000000000000000000000000
χ8788-8-8-8-48-4442-44-2-2442-4-4-24-2422-4-40000-1211-2-2-12-1-1221-21-2000000000000000000000000000000000000000000000000
χ8888-8-8-8-48-444-42444-2-2-42-44-24-2-4-42200002-1-2-2112-122-1-1-21-21000000000000000000000000000000000000000000000000
χ898-88i−8i0-404−4i4i2-406-600-2402i−4i−2i4i6i−6i000000-12-33001-2−3i3i00−i2ii−2i000000000000000000000000000000000000000000000000
χ908-88i−8i0-404−4i4i2-40-6600-2402i−4i−2i4i−6i6i000000-123-3001-23i−3i00−i2ii−2i000000000000000000000000000000000000000000000000
χ918-88i−8i0-404−4i4i-420006-64-20−4i2i4i−2i006i−6i00002-100-33-2100−3i3i2i−i−2ii000000000000000000000000000000000000000000000000
χ928-88i−8i0-404−4i4i-42000-664-20−4i2i4i−2i00−6i6i00002-1003-3-21003i−3i2i−i−2ii000000000000000000000000000000000000000000000000
χ938-8−8i8i0-4044i−4i2-406-600-240−2i4i2i−4i−6i6i000000-12-33001-23i−3i00i−2i−i2i000000000000000000000000000000000000000000000000
χ948-8−8i8i0-4044i−4i2-40-6600-240−2i4i2i−4i6i−6i000000-123-3001-2−3i3i00i−2i−i2i000000000000000000000000000000000000000000000000
χ958-8−8i8i0-4044i−4i-420006-64-204i−2i−4i2i00−6i6i00002-100-33-21003i−3i−2ii2i−i000000000000000000000000000000000000000000000000
χ968-8−8i8i0-4044i−4i-42000-664-204i−2i−4i2i006i−6i00002-1003-3-2100−3i3i−2ii2i−i000000000000000000000000000000000000000000000000

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