Finite Group Databasebeta

← Group #13155004

Character table — Group #13155004

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444444444448888888888888812121212121212121212121218181818181818182424242424242424242424243636363636363636363636363636108108108108
order1222344666333366666666666612121212121236661212121212121212121244441212121212121212224466661212121212121212121212128888121224242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−iii−i−i
χ611111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii−i−iii
χ711111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111ii−i−i-1-1iiii−i−i−i−i−i−iii
χ811111-1-11111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111−i−iii-1-1−i−i−i−iiiiiii−i−i
χ91-11-111-1-11-11111-1-1-1-1-11111-1-1-11-111-1-11-1-11111-1-1-111-1-1i−ii−iii−i−iii−i−i1-1-1111-1-1iii−i−i−iiii−i−i−ii−ii−i1-1ii−i−iii−i−i1-11-1
χ101-11-111-1-11-11111-1-1-1-1-11111-1-1-11-111-1-11-1-11111-1-1-111-1-1i−ii−iii−i−iii−i−i1-1-1111-1-1iii−i−i−iiii−i−i−i−ii−ii1-1−i−iii−i−iii-11-11
χ111-11-111-1-11-11111-1-1-1-1-11111-1-1-11-111-1-11-1-11111-1-1-111-1-1−ii−ii−i−iii−i−iii1-1-1111-1-1−i−i−iiii−i−i−iiiii−ii−i1-1ii−i−iii−i−i-11-11
χ121-11-111-1-11-11111-1-1-1-1-11111-1-1-11-111-1-11-1-11111-1-1-111-1-1−ii−ii−i−iii−i−iii1-1-1111-1-1−i−i−iiii−i−i−iiii−ii−ii1-1−i−iii−i−iii1-11-1
χ131-11-11-11-11-11111-1-1-1-1-11111-1-1-1-11-1-1111-1-11-1-1-1111-1-111i−i−iiii−i−i−i−iii1-11-111-1-1iii−i−i−i−i−i−iiii1-1-11-1111-1-1-1-111−iii−i
χ141-11-11-11-11-11111-1-1-1-1-11111-1-1-1-11-1-1111-1-11-1-1-1111-1-111i−i−iiii−i−i−i−iii1-11-111-1-1iii−i−i−i−i−i−iiii-111-1-11-1-11111-1-1i−i−ii
χ151-11-11-11-11-11111-1-1-1-1-11111-1-1-1-11-1-1111-1-11-1-1-1111-1-111−iii−i−i−iiiii−i−i1-11-111-1-1−i−i−iiiiiii−i−i−i1-1-11-1111-1-1-1-111i−i−ii
χ161-11-11-11-11-11111-1-1-1-1-11111-1-1-1-11-1-1111-1-11-1-1-1111-1-111−iii−i−i−iiiii−i−i1-11-111-1-1−i−i−iiiiiii−i−i−i-111-1-11-1-11111-1-1−iii−i
χ172222222222222222222222222222222222222222222222000000000000-2-2-2-2-2-2-2-20000000000000000-2-2000000000000
χ1822222-2-22222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000-2-222-2-2-2-2000000000000000022000000000000
χ192222-122-1-1-122-1-1222-1-122-1-12-1-1-1-12222-1-1-1-12-1-12-1-1-1-1-1-10000−i3i3−i3i3−i3i3−i3i3-2-2-2-211110−i3i30−i3i30−i3i30−i3i3000011000000000000
χ202222-122-1-1-122-1-1222-1-122-1-12-1-1-1-12222-1-1-1-12-1-12-1-1-1-1-1-10000i3−i3i3−i3i3−i3i3−i3-2-2-2-211110i3−i30i3−i30i3−i30i3−i3000011000000000000
χ212222-122-1-1-122-1-1222-1-122-1-12-1-1-1-12222-1-1-1-12-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12-1-12-1-12-1-12-1-10000-1-1000000000000
χ222222-122-1-1-122-1-1222-1-122-1-12-1-1-1-12222-1-1-1-12-1-12-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-211-211-211-2110000-1-1000000000000
χ232222-1-2-2-1-1-122-1-1222-1-122-1-12-1-111-2-2-2-2-1-1-1-1-211-21111110000−i3i3−i3i3i3−i3i3−i3-2-22211110−i3i30−i3i30i3−i30i3−i30000-1-1000000000000
χ242222-1-2-2-1-1-122-1-1222-1-122-1-12-1-111-2-2-2-2-1-1-1-1-211-21111110000i3−i3i3−i3−i3i3−i3i3-2-22211110i3−i30i3−i30−i3i30−i3i30000-1-1000000000000
χ252222-1-2-2-1-1-122-1-1222-1-122-1-12-1-111-2-2-2-2-1-1-1-1-211-211111122-2-2-1-1-1-1111122-2-2-1-1-1-12-1-12-1-1-211-211000011000000000000
χ262222-1-2-2-1-1-122-1-1222-1-122-1-12-1-111-2-2-2-2-1-1-1-1-211-2111111-2-2221111-1-1-1-122-2-2-1-1-1-1-211-2112-1-12-1-1000011000000000000
χ272-22-222-2-22-22222-2-2-2-2-22222-2-2-22-222-2-22-2-22222-2-2-222-2-2000000000000-222-2-2-2220000000000000000-22000000000000
χ282-22-22-22-22-22222-2-2-2-2-22222-2-2-2-22-2-2222-2-22-2-2-2222-2-222000000000000-22-22-2-22200000000000000002-2000000000000
χ292-22-2-12-21-1122-1-1-2-2-21122-1-1-211-1122-2-2-111-12-1-1-211-1-11100003−3−333−3−33-222-211-1-103−30−3303−30−3300001-1000000000000
χ302-22-2-12-21-1122-1-1-2-2-21122-1-1-211-1122-2-2-111-12-1-1-211-1-1110000−333−3−333−3-222-211-1-10−3303−30−3303−300001-1000000000000
χ312-22-2-12-21-1122-1-1-2-2-21122-1-1-211-1122-2-2-111-12-1-1-211-1-1112i−2i2i−2i−i−iii−i−iii2-2-22-1-1112i−i−i−2iii2i−i−i−2iii0000-11000000000000
χ322-22-2-12-21-1122-1-1-2-2-21122-1-1-211-1122-2-2-111-12-1-1-211-1-111−2i2i−2i2iii−i−iii−i−i2-2-22-1-111−2iii2i−i−i−2iii2i−i−i0000-11000000000000
χ332-22-2-1-221-1122-1-1-2-2-21122-1-1-2111-1-2-222-111-1-2112-1-111-1-100003−3−33−333−3-22-2211-1-103−30−330−3303−30000-11000000000000
χ342-22-2-1-221-1122-1-1-2-2-21122-1-1-2111-1-2-222-111-1-2112-1-111-1-10000−333−33−3−33-22-2211-1-10−3303−303−30−330000-11000000000000
χ352-22-2-1-221-1122-1-1-2-2-21122-1-1-2111-1-2-222-111-1-2112-1-111-1-12i−2i−2i2i−i−iiiii−i−i2-22-2-1-1112i−i−i−2iii−2iii2i−i−i00001-1000000000000
χ362-22-2-1-221-1122-1-1-2-2-21122-1-1-2111-1-2-222-111-1-2112-1-111-1-1−2i2i2i−2iii−i−i−i−iii2-22-2-1-111−2iii2i−i−i2i−i−i−2iii00001-1000000000000
χ3744444444441-2111-2-2111-21111144-2-2-2-2-2-2-2-2111111-2-2-2-222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3844444444441-2111-2-2111-21111144-2-2-2-2-2-2-2-2111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000111111111111000000000000000000
χ394444444444-21-2-2-211-2-2-21-2-2-2-2-24411111111-2-2-2-2-2-2111100000000000000000000000000000000222200-1-1-1-1-1-1-1-10000
χ404444444444-21-2-2-211-2-2-21-2-2-2-2-24411111111-2-2-2-2-2-2111100000000000000000000000000000000-2-2-2-200111111110000
χ4144444-4-44441-2111-2-2111-211111-4-42222-2-2-2-2-1-1-1-1-1-1222222-2-22222-2-2-2-200000000-1-1-1-1-1-1111111000000000000000000
χ4244444-4-44441-2111-2-2111-211111-4-42222-2-2-2-2-1-1-1-1-1-12222-2-222-2-2-2-2222200000000111111-1-1-1-1-1-1000000000000000000
χ4344444-4-4444-21-2-2-211-2-2-21-2-2-2-2-2-4-4-1-1-1-11111222222-1-1-1-1000000000000000000000000000000002i2i−2i−2i00−i−i−i−iiiii0000
χ4444444-4-4444-21-2-2-211-2-2-21-2-2-2-2-2-4-4-1-1-1-11111222222-1-1-1-100000000000000000000000000000000−2i−2i2i2i00iiii−i−i−i−i0000
χ454444-244-2-2-21-2−1−3i32−1+3i321-2-2−1−3i32−1+3i321-2−1−3i32−1+3i321−1−3i32−1+3i32-2-2-2-2-2-211111−1−3i32−1+3i321−1−3i32−1+3i3211112222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300000000-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32000000000000000000
χ464444-244-2-2-21-2−1−3i32−1+3i321-2-2−1−3i32−1+3i321-2−1−3i32−1+3i321−1−3i32−1+3i32-2-2-2-2-2-211111−1−3i32−1+3i321−1−3i32−1+3i321111-2-2-2-21+i31−i31+i31−i31+i31−i31+i31−i3000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32000000000000000000
χ474444-244-2-2-21-2−1+3i32−1−3i321-2-2−1+3i32−1−3i321-2−1+3i32−1−3i321−1+3i32−1−3i32-2-2-2-2-2-211111−1+3i32−1−3i321−1+3i32−1−3i3211112222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300000000-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i32000000000000000000
χ484444-244-2-2-21-2−1+3i32−1−3i321-2-2−1+3i32−1−3i321-2−1+3i32−1−3i321−1+3i32−1−3i32-2-2-2-2-2-211111−1+3i32−1−3i321−1+3i32−1−3i321111-2-2-2-21−i31+i31−i31+i31−i31+i31−i31+i3000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32000000000000000000
χ494444-2-4-4-2-2-21-2−1−3i32−1+3i321-2-2−1−3i32−1+3i321-2−1−3i32−1+3i321−1−3i32−1+3i322222221111-11+3i321−3i32-11+3i321−3i32-1-1-1-122-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300000000-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32000000000000000000
χ504444-2-4-4-2-2-21-2−1−3i32−1+3i321-2-2−1−3i32−1+3i321-2−1−3i32−1+3i321−1−3i32−1+3i322222221111-11+3i321−3i32-11+3i321−3i32-1-1-1-1-2-2221+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000001−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32000000000000000000
χ514444-2-4-4-2-2-21-2−1+3i32−1−3i321-2-2−1+3i32−1−3i321-2−1+3i32−1−3i321−1+3i32−1−3i322222221111-11−3i321+3i32-11−3i321+3i32-1-1-1-122-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i300000000-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32000000000000000000
χ524444-2-4-4-2-2-21-2−1+3i32−1−3i321-2-2−1+3i32−1−3i321-2−1+3i32−1−3i321−1+3i32−1−3i322222221111-11−3i321+3i32-11−3i321+3i32-1-1-1-1-2-2221−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000001−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32000000000000000000
χ5344-4-44004-4-4444444-444-4-4-4-4-4-4-400000044-4-4000000000000000000000000000000000000000000000000000000000000
χ5444-4-44004-4-4-21-2-2-21-1-2-22-122222003i−3i3i−3i11-1-10000003i−3i3i−3i00000000000000000000000000000000000000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000
χ5544-4-44004-4-4-21-2-2-21-1-2-22-122222003i−3i3i−3i11-1-10000003i−3i3i−3i00000000000000000000000000000000000000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000
χ5644-4-44004-4-4-21-2-2-21-1-2-22-12222200−3i3i−3i3i11-1-1000000−3i3i−3i3i00000000000000000000000000000000000000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000
χ5744-4-44004-4-4-21-2-2-21-1-2-22-12222200−3i3i−3i3i11-1-1000000−3i3i−3i3i00000000000000000000000000000000000000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000
χ5844-4-4-200-22244-2-244-4-2-2-4-422-422000000-2-22200000000000000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ5944-4-4-200-22244-2-244-4-2-2-4-422-422000000-2-222000000000000000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ604-44-444-4-44-41-211-122-1-11-211-1-1-14-4-2-222-222-2111-1-1-1-2-2222i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000−i−i−iiii−i−i−iiii000000000000000000
χ614-44-444-4-44-41-211-122-1-11-211-1-1-14-4-2-222-222-2111-1-1-1-2-222−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000iii−i−i−iiii−i−i−i000000000000000000
χ624-44-444-4-44-4-21-2-22-1-122-21-2-22224-411-1-11-1-11-2-2-222211-1-1000000000000000000000000000000002i−2i2i−2i00−i−iii−i−iii0000
χ634-44-444-4-44-4-21-2-22-1-122-21-2-22224-411-1-11-1-11-2-2-222211-1-100000000000000000000000000000000−2i2i−2i2i00ii−i−iii−i−i0000
χ644-44-44-44-44-41-211-122-1-11-211-1-1-1-4422-2-2-222-2-1-1-111122-2-22i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000−i−i−iiiiiii−i−i−i000000000000000000
χ654-44-44-44-44-41-211-122-1-11-211-1-1-1-4422-2-2-222-2-1-1-111122-2-2−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000iii−i−i−i−i−i−iiii000000000000000000
χ664-44-44-44-44-4-21-2-22-1-122-21-2-2222-44-1-1111-1-11222-2-2-2-1-111000000000000000000000000000000002-2-2200-1-11111-1-10000
χ674-44-44-44-44-4-21-2-22-1-122-21-2-2222-44-1-1111-1-11222-2-2-2-1-11100000000000000000000000000000000-222-20011-1-1-1-1110000
χ684-44-4-24-42-221-2−1−3i32−1+3i32-1221+3i321−3i321-2−1−3i32−1+3i32-11+3i321−3i32-22-2-2221-1-111−1−3i32−1+3i32-11+3i321−3i3211-1-12i−2i2i−2i2ζ222ζ14−2ζ22−2ζ142ζ222ζ14−2ζ22−2ζ1400000000−i−ζ22−ζ14iζ22ζ14−i−ζ22−ζ14iζ22ζ14000000000000000000
χ694-44-4-24-42-221-2−1−3i32−1+3i32-1221+3i321−3i321-2−1−3i32−1+3i32-11+3i321−3i32-22-2-2221-1-111−1−3i32−1+3i32-11+3i321−3i3211-1-1−2i2i−2i2i−2ζ22−2ζ142ζ222ζ14−2ζ22−2ζ142ζ222ζ1400000000iζ22ζ14−i−ζ22−ζ14iζ22ζ14−i−ζ22−ζ14000000000000000000
χ704-44-4-24-42-221-2−1+3i32−1−3i32-1221−3i321+3i321-2−1+3i32−1−3i32-11−3i321+3i32-22-2-2221-1-111−1+3i32−1−3i32-11−3i321+3i3211-1-12i−2i2i−2i2ζ142ζ22−2ζ14−2ζ222ζ142ζ22−2ζ14−2ζ2200000000−i−ζ14−ζ22iζ14ζ22−i−ζ14−ζ22iζ14ζ22000000000000000000
χ714-44-4-24-42-221-2−1+3i32−1−3i32-1221−3i321+3i321-2−1+3i32−1−3i32-11−3i321+3i32-22-2-2221-1-111−1+3i32−1−3i32-11−3i321+3i3211-1-1−2i2i−2i2i−2ζ14−2ζ222ζ142ζ22−2ζ14−2ζ222ζ142ζ2200000000iζ14ζ22−i−ζ14−ζ22iζ14ζ22−i−ζ14−ζ22000000000000000000
χ724-44-4-2-442-221-2−1−3i32−1+3i32-1221+3i321−3i321-2−1−3i32−1+3i32-11+3i321−3i322-222-2-21-1-11-11+3i321−3i321−1−3i32−1+3i32-1-1112i−2i−2i2i2ζ222ζ14−2ζ22−2ζ14−2ζ22−2ζ142ζ222ζ1400000000−i−ζ22−ζ14iζ22ζ14iζ22ζ14−i−ζ22−ζ14000000000000000000
χ734-44-4-2-442-221-2−1−3i32−1+3i32-1221+3i321−3i321-2−1−3i32−1+3i32-11+3i321−3i322-222-2-21-1-11-11+3i321−3i321−1−3i32−1+3i32-1-111−2i2i2i−2i−2ζ22−2ζ142ζ222ζ142ζ222ζ14−2ζ22−2ζ1400000000iζ22ζ14−i−ζ22−ζ14−i−ζ22−ζ14iζ22ζ14000000000000000000
χ744-44-4-2-442-221-2−1+3i32−1−3i32-1221−3i321+3i321-2−1+3i32−1−3i32-11−3i321+3i322-222-2-21-1-11-11−3i321+3i321−1+3i32−1−3i32-1-1112i−2i−2i2i2ζ142ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ142ζ2200000000−i−ζ14−ζ22iζ14ζ22iζ14ζ22−i−ζ14−ζ22000000000000000000
χ754-44-4-2-442-221-2−1+3i32−1−3i32-1221−3i321+3i321-2−1+3i32−1−3i32-11−3i321+3i322-222-2-21-1-11-11−3i321+3i321−1+3i32−1−3i32-1-111−2i2i2i−2i−2ζ14−2ζ222ζ142ζ222ζ142ζ22−2ζ14−2ζ2200000000iζ14ζ22−i−ζ14−ζ22−i−ζ14−ζ22iζ14ζ22000000000000000000
χ764-4-44400-4-444444-4-44-4-4-4-4-4-44440000004-44-4000000000000000000000000000000000000000000000000000000000000
χ774-4-44400-4-44-21-2-22-11222-122-2-2-2003i−3i−3i3i1-11-10000003i−3i−3i3i00000000000000000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ130000
χ784-4-44400-4-44-21-2-22-11222-122-2-2-2003i−3i−3i3i1-11-10000003i−3i−3i3i00000000000000000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ130000
χ794-4-44400-4-44-21-2-22-11222-122-2-2-200−3i3i3i−3i1-11-1000000−3i3i3i−3i00000000000000000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ230000
χ804-4-44400-4-44-21-2-22-11222-122-2-2-200−3i3i3i−3i1-11-1000000−3i3i3i−3i00000000000000000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ230000
χ814-4-44-20022-244-2-2-4-4422-4-4224-2-2000000-22-2200000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ824-4-44-20022-244-2-2-4-4422-4-4224-2-2000000-22-22000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ838888-488-4-4-4-4222-42222-4222-422-4-42222-1-1-1-1-422-422-1-1-1-100000000000000000000000000000000000000000000000000
χ848888-4-8-8-4-4-4-4222-42222-4222-42244-2-2-2-2-1-1-1-14-2-24-2-2111100000000000000000000000000000000000000000000000000
χ8588-8-88008-8-82-4222-4422-24-2-2-2-2-2000000-4-444000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-400-4442-4−1−3i3−1+3i32-44−1−3i3−1+3i3-241+3i31−3i3-21+3i31−3i300000022-2-2000000000000000000000000000000000000000000000000000000000000
χ8788-8-8-400-4442-4−1+3i3−1−3i32-44−1+3i3−1−3i3-241−3i31+3i3-21−3i31+3i300000022-2-2000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-400-444-4222-42-2224-2-2-24-2-2006i−6i6i−6i-1-111000000−3i3i−3i3i00000000000000000000000000000000000000000000000000
χ8988-8-8-400-444-4222-42-2224-2-2-24-2-200−6i6i−6i6i-1-1110000003i−3i3i−3i00000000000000000000000000000000000000000000000000
χ908-88-8-48-84-44-42224-2-2-2-2-42224-2-2-4422-2-2-111-1-4224-2-2-1-11100000000000000000000000000000000000000000000000000
χ918-88-8-4-884-44-42224-2-2-2-2-42224-2-24-4-2-222-111-14-2-2-42211-1-100000000000000000000000000000000000000000000000000
χ928-8-88800-8-882-422-24-4-2-2-24-2-2222000000-44-44000000000000000000000000000000000000000000000000000000000000
χ938-8-88-40044-42-4−1−3i3−1+3i3-24-41+3i31−3i3-241+3i31−3i32−1−3i3−1+3i30000002-22-2000000000000000000000000000000000000000000000000000000000000
χ948-8-88-40044-42-4−1+3i3−1−3i3-24-41−3i31+3i3-241−3i31+3i32−1+3i3−1−3i30000002-22-2000000000000000000000000000000000000000000000000000000000000
χ958-8-88-40044-4-42224-22-2-24-2-2-2-422006i−6i−6i6i-11-11000000−3i3i3i−3i00000000000000000000000000000000000000000000000000
χ968-8-88-40044-4-42224-22-2-24-2-2-2-42200−6i6i6i−6i-11-110000003i−3i−3i3i00000000000000000000000000000000000000000000000000

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