Finite Group Databasebeta

← Group #13165182

Character table — Group #13165182

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222333344444444888888881212121212121212121212121212121212121212181818181818242424242424242424242424363636363636363636363636363636363636545454545454
order12443612128888336612121212336612121212224466661212121224242424242424242488886666661212121212126888812242424242424242424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-11-111-1-111-1-11111111111-1-1-1-11-111-1-11-111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111-11-11-1-111-1-1111111111111-1-1-1-1-11-1-111-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111111111
χ511111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ611111111-1-1-1-111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-11-111-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ711111111-1-1-1-11111111111111111-11-11-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-11-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ911-1-111-1-1ii−i−i1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1iiii−i−i−i−i-1111-1-1111111-1-1-1-1-1-1-1i−ii−i1ii−i−iii−i−i11-1-1ii−i−ii−i
χ1011-1-111-1-1ii−i−i1111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111iiii−i−i−i−i-11-1-1111-111-1-1-11-1-111-1i−i−ii1ii−i−i−i−iii-1-111−i−iiii−i
χ1111-1-111-1-1ii−i−i1111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1iiii−i−i−i−i-11-1-111-11-1-1111-111-1-1-1−iii−i1−i−iiiii−i−i-1-111−i−iiii−i
χ1211-1-111-1-1ii−i−i1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i-1111-1-1-1-1-1-1-1-1111111-1−ii−ii1−i−iii−i−iii11-1-1ii−i−ii−i
χ1311-1-111-1-1−i−iii1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1−i−i−i−iiiii-1111-1-1111111-1-1-1-1-1-1-1−ii−ii1−i−iii−i−iii11-1-1−i−iii−ii
χ1411-1-111-1-1−i−iii1111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111−i−i−i−iiiii-11-1-1111-111-1-1-11-1-111-1−iii−i1−i−iiiii−i−i-1-111ii−i−i−ii
χ1511-1-111-1-1−i−iii1111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1−i−i−i−iiiii-11-1-111-11-1-1111-111-1-1-1i−i−ii1ii−i−i−i−iii-1-111ii−i−i−ii
χ1611-1-111-1-1−i−iii1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiii-1111-1-1-1-1-1-1-1-1111111-1i−ii−i1ii−i−iii−i−i11-1-1−i−iii−ii
χ17222222222222222222222222222200000000000022222222-2-20000000000000000-20000-20000000000000000-2-2
χ1822222222-2-2-2-22222222222222222000000000000-2-2-2-2-2-2-2-2-2-20000000000000000-20000-2000000000000000022
χ192222-1-1-1-1000022222222-1-1-1-1-1-1-1-122222222222200000000222222-1-1-1-1-1-1-1-1-1-1-1-1-10000-100000000-1-1-1-1000000
χ202222-1-1-1-1000022222222-1-1-1-1-1-1-1-12-22-222-2-222-2-20000000022-2-2-2-2-11-1-111-11-1-111-10000-1000000001111000000
χ212222-1-1-1-1000022222222-1-1-1-1-1-1-1-1-22-22-2-222-2-2220000000022-2-2-2-21-111-1-11-111-1-1-10000-1000000001111000000
χ222222-1-1-1-1000022222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-200000000222222111111111111-10000-100000000-1-1-1-1000000
χ2322-2-222-2-22i2i−2i−2i2222-2-2-2-22222-2-2-2-20000000000002i2i2i2i−2i−2i−2i−2i2-2000000000000000020000-20000000000000000−2i2i
χ2422-2-222-2-2−2i−2i2i2i2222-2-2-2-22222-2-2-2-2000000000000−2i−2i−2i−2i2i2i2i2i2-2000000000000000020000-200000000000000002i−2i
χ2522-2-2-1-11100002222-2-2-2-2-1-1-1-1111122-2-22222-2-2-2-200000000-2222-2-2-1-1-1-1-1-111111110000-100000000-1-111000000
χ2622-2-2-1-11100002222-2-2-2-2-1-1-1-111112-2-2222-2-2-2-22200000000-22-2-222-11-1-1111-111-1-110000-10000000011-1-1000000
χ2722-2-2-1-11100002222-2-2-2-2-1-1-1-11111-222-2-2-22222-2-200000000-22-2-2221-111-1-1-11-1-11110000-10000000011-1-1000000
χ2822-2-2-1-11100002222-2-2-2-2-1-1-1-11111-2-222-2-2-2-2222200000000-2222-2-2111111-1-1-1-1-1-110000-100000000-1-111000000
χ292-22i−2i2-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322-2-22i2i−2i−2i22-2-22i2i−2i−2i0000000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13002−2−i2i2000000000000000000000000002−2−i2i21+i−1−i1−i−1+i00
χ302-22i−2i2-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322-2-22i2i−2i−2i22-2-22i2i−2i−2i0000000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300−22i2−i200000000000000000000000000−22i2−i2−1−i1+i−1+i1−i00
χ312-22i−2i2-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322-2-22i2i−2i−2i22-2-22i2i−2i−2i000000000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13002−2−i2i2000000000000000000000000002−2−i2i2−1−i1+i−1+i1−i00
χ322-22i−2i2-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322-2-22i2i−2i−2i22-2-22i2i−2i−2i000000000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300−22i2−i200000000000000000000000000−22i2−i21+i−1−i1−i−1+i00
χ332-2−2i2i2-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322-2-2−2i−2i2i2i22-2-2−2i−2i2i2i000000000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23002−2i2−i2000000000000000000000000002−2i2−i21−i−1+i1+i−1−i00
χ342-2−2i2i2-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322-2-2−2i−2i2i2i22-2-2−2i−2i2i2i000000000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2300−22−i2i200000000000000000000000000−22−i2i2−1+i1−i−1−i1+i00
χ352-2−2i2i2-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23002−2i2−i2000000000000000000000000002−2i2−i2−1+i1−i−1−i1+i00
χ362-2−2i2i2-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300−22−i2i200000000000000000000000000−22−i2i21−i−1+i1+i−1−i00
χ374444444444441-21-21-21-21-21-21-21-2020200-1-100-1-11-21-21-21-20000000200-1-10200-1-10002200000-1-1-1-10000000000
χ384444444444441-21-21-21-21-21-21-21-20-20-2001100111-21-21-21-20000000-200110-20011000-2-20000011110000000000
χ39444444444444-21-21-21-21-21-21-21-212020-1-100-1-100-21-21-21-2100000020-1-10020-1-100022000-1-1-1-100000000000000
χ40444444444444-21-21-21-21-21-21-21-21-20-2011001100-21-21-21-21000000-201100-2011000-2-2000111100000000000000
χ4144444444-4-4-4-41-21-21-21-21-21-21-21-2020200-1-100-1-1-12-12-12-120000000200-1-10200-1-1000-2-20000011110000000000
χ4244444444-4-4-4-41-21-21-21-21-21-21-21-20-20-200110011-12-12-12-120000000-200110-200110002200000-1-1-1-10000000000
χ4344444444-4-4-4-4-21-21-21-21-21-21-21-212020-1-100-1-1002-12-12-12-100000020-1-10020-1-1000-2-2000111100000000000000
χ4444444444-4-4-4-4-21-21-21-21-21-21-21-21-20-20110011002-12-12-12-1000000-201100-201100022000-1-1-1-100000000000000
χ454444-2-2-2-2000044444444-2-2-2-2-2-2-2-200000000000000000000-4-40000000000000000200002000000000000000000
χ4644-4-444-4-44i4i−4i−4i1-21-2-12-121-21-2-12-12020-200-1-10011i−2ii−2i−i2i−i2i0000000200-1-10-200110002i−2i00000−i−iii0000000000
χ4744-4-444-4-44i4i−4i−4i1-21-2-12-121-21-2-12-120-202001100-1-1i−2ii−2i−i2i−i2i0000000-200110200-1-1000−2i2i00000ii−i−i0000000000
χ4844-4-444-4-44i4i−4i−4i-21-212-12-1-21-212-12-120-20-1-1001100−2ii−2ii2i−i2i−i00000020-1-100-20110002i−2i000−i−iii00000000000000
χ4944-4-444-4-44i4i−4i−4i-21-212-12-1-21-212-12-1-20201100-1-100−2ii−2ii2i−i2i−i000000-20110020-1-1000−2i2i000ii−i−i00000000000000
χ5044-4-444-4-4−4i−4i4i4i1-21-2-12-121-21-2-12-12020-200-1-10011−i2i−i2ii−2ii−2i0000000200-1-10-20011000−2i2i00000ii−i−i0000000000
χ5144-4-444-4-4−4i−4i4i4i1-21-2-12-121-21-2-12-120-202001100-1-1−i2i−i2ii−2ii−2i0000000-200110200-1-10002i−2i00000−i−iii0000000000
χ5244-4-444-4-4−4i−4i4i4i-21-212-12-1-21-212-12-120-20-1-10011002i−i2i−i−2ii−2ii00000020-1-100-2011000−2i2i000ii−i−i00000000000000
χ5344-4-444-4-4−4i−4i4i4i-21-212-12-1-21-212-12-1-20201100-1-1002i−i2i−i−2ii−2ii000000-20110020-1-10002i−2i000−i−iii00000000000000
χ5444-4-4-2-22200004444-4-4-4-4-2-2-2-22222000000000000000000004-40000000000000000-200002000000000000000000
χ554-44i−4i4-44i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ131-2-12i−2i−i2i1-2-12i−2i−i2i000000−i3i3003−3ζ7+ζ23−2ζ7−2ζ23−ζ7−ζ232ζ7+2ζ23−ζ5−ζ132ζ5+2ζ13ζ5+ζ13−2ζ5−2ζ130000000000−i3i300003−30000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ564-44i−4i4-44i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ131-2-12i−2i−i2i1-2-12i−2i−i2i000000i3−i300−33ζ7+ζ23−2ζ7−2ζ23−ζ7−ζ232ζ7+2ζ23−ζ5−ζ132ζ5+2ζ13ζ5+ζ13−2ζ5−2ζ130000000000i3−i30000−330000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ574-44i−4i4-44i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-212-1−2ii2i−i-212-1−2ii2i−i0000−i3i3003−300−2ζ7−2ζ23ζ7+ζ232ζ7+2ζ23−ζ7−ζ232ζ5+2ζ13−ζ5−ζ13−2ζ5−2ζ13ζ5+ζ1300000000−i3i300003−300000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000
χ584-44i−4i4-44i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-212-1−2ii2i−i-212-1−2ii2i−i0000i3−i300−3300−2ζ7−2ζ23ζ7+ζ232ζ7+2ζ23−ζ7−ζ232ζ5+2ζ13−ζ5−ζ13−2ζ5−2ζ13ζ5+ζ1300000000i3−i30000−3300000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000
χ594-44i−4i4-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ131-2-12i−2i−i2i1-2-12i−2i−i2i000000−i3i3003−3−ζ7−ζ232ζ7+2ζ23ζ7+ζ23−2ζ7−2ζ23ζ5+ζ13−2ζ5−2ζ13−ζ5−ζ132ζ5+2ζ130000000000−i3i300003−30000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ604-44i−4i4-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ131-2-12i−2i−i2i1-2-12i−2i−i2i000000i3−i300−33−ζ7−ζ232ζ7+2ζ23ζ7+ζ23−2ζ7−2ζ23ζ5+ζ13−2ζ5−2ζ13−ζ5−ζ132ζ5+2ζ130000000000i3−i30000−330000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ614-44i−4i4-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-212-1−2ii2i−i-212-1−2ii2i−i0000−i3i3003−3002ζ7+2ζ23−ζ7−ζ23−2ζ7−2ζ23ζ7+ζ23−2ζ5−2ζ13ζ5+ζ132ζ5+2ζ13−ζ5−ζ1300000000−i3i300003−300000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000
χ624-44i−4i4-44i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-212-1−2ii2i−i-212-1−2ii2i−i0000i3−i300−33002ζ7+2ζ23−ζ7−ζ23−2ζ7−2ζ23ζ7+ζ23−2ζ5−2ζ13ζ5+ζ132ζ5+2ζ13−ζ5−ζ1300000000i3−i30000−3300000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000
χ634-44i−4i-22−2i2i000044-4-44i4i−4i−4i-2-222−2i−2i2i2i000000000000000000000022−22−2i22i200000000000000000000000000−22i2−i2000000
χ644-44i−4i-22−2i2i000044-4-44i4i−4i−4i-2-222−2i−2i2i2i0000000000000000000000−22222i2−2i2000000000000000000000000002−2−i2i2000000
χ654-4−4i4i4-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ231-2-12−i2ii−2i1-2-12−i2ii−2i000000−i3i300−33−ζ5−ζ132ζ5+2ζ13ζ5+ζ13−2ζ5−2ζ13ζ7+ζ23−2ζ7−2ζ23−ζ7−ζ232ζ7+2ζ230000000000−i3i30000−330000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ664-4−4i4i4-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ231-2-12−i2ii−2i1-2-12−i2ii−2i000000i3−i3003−3−ζ5−ζ132ζ5+2ζ13ζ5+ζ13−2ζ5−2ζ13ζ7+ζ23−2ζ7−2ζ23−ζ7−ζ232ζ7+2ζ230000000000i3−i300003−30000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ674-4−4i4i4-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-212-12i−i−2ii-212-12i−i−2ii0000−i3i300−33002ζ5+2ζ13−ζ5−ζ13−2ζ5−2ζ13ζ5+ζ13−2ζ7−2ζ23ζ7+ζ232ζ7+2ζ23−ζ7−ζ2300000000−i3i30000−3300000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000
χ684-4−4i4i4-4−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-212-12i−i−2ii-212-12i−i−2ii0000i3−i3003−3002ζ5+2ζ13−ζ5−ζ13−2ζ5−2ζ13ζ5+ζ13−2ζ7−2ζ23ζ7+ζ232ζ7+2ζ23−ζ7−ζ2300000000i3−i300003−300000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000
χ694-4−4i4i4-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ231-2-12−i2ii−2i1-2-12−i2ii−2i000000−i3i300−33ζ5+ζ13−2ζ5−2ζ13−ζ5−ζ132ζ5+2ζ13−ζ7−ζ232ζ7+2ζ23ζ7+ζ23−2ζ7−2ζ230000000000−i3i30000−330000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ704-4−4i4i4-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ231-2-12−i2ii−2i1-2-12−i2ii−2i000000i3−i3003−3ζ5+ζ13−2ζ5−2ζ13−ζ5−ζ132ζ5+2ζ13−ζ7−ζ232ζ7+2ζ23ζ7+ζ23−2ζ7−2ζ230000000000i3−i300003−30000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ714-4−4i4i4-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-212-12i−i−2ii-212-12i−i−2ii0000−i3i300−3300−2ζ5−2ζ13ζ5+ζ132ζ5+2ζ13−ζ5−ζ132ζ7+2ζ23−ζ7−ζ23−2ζ7−2ζ23ζ7+ζ2300000000−i3i30000−3300000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000
χ724-4−4i4i4-4−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-212-12i−i−2ii-212-12i−i−2ii0000i3−i3003−300−2ζ5−2ζ13ζ5+ζ132ζ5+2ζ13−ζ5−ζ132ζ7+2ζ23−ζ7−ζ23−2ζ7−2ζ23ζ7+ζ2300000000i3−i300003−300000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000
χ734-4−4i4i-222i−2i000044-4-4−4i−4i4i4i-2-2222i2i−2i−2i000000000000000000000022−222i2−2i200000000000000000000000000−22−i2i2000000
χ744-4−4i4i-222i−2i000044-4-4−4i−4i4i4i-2-2222i2i−2i−2i0000000000000000000000−2222−2i22i2000000000000000000000000002−2i2−i2000000
χ758888-4-4-4-400002-42-42-42-4-12-12-12-12040400-2-200-2-2000000000000000-200110-20011000000000000000000000000
χ768888-4-4-4-400002-42-42-42-4-12-12-12-120-40-400220022000000000000000200-1-10200-1-1000000000000000000000000
χ778888-4-4-4-40000-42-42-42-422-12-12-12-14040-2-200-2-20000000000000000-201100-201100000000000000000000000000
χ788888-4-4-4-40000-42-42-42-422-12-12-12-1-40-40220022000000000000000020-1-10020-1-100000000000000000000000000
χ7988-8-8-4-44400002-42-4-24-24-12-121-21-2040-400-2-20022000000000000000-200110200-1-1000000000000000000000000
χ8088-8-8-4-44400002-42-4-24-24-12-121-21-20-404002200-2-2000000000000000200-1-10-20011000000000000000000000000
χ8188-8-8-4-4440000-42-424-24-22-12-1-21-2140-40-2-200220000000000000000-20110020-1-100000000000000000000000000
χ8288-8-8-4-4440000-42-424-24-22-12-1-21-21-40402200-2-2000000000000000020-1-100-201100000000000000000000000000
χ838-88i−8i-44−4i4i00002-4-242i−4i−2i4i-121-2−i2ii−2i000000−2i32i30023−23000000000000000000i3−i30000−33000000000000000000000000
χ848-88i−8i-44−4i4i00002-4-242i−4i−2i4i-121-2−i2ii−2i0000002i3−2i300−2323000000000000000000−i3i300003−3000000000000000000000000
χ858-88i−8i-44−4i4i0000-424-2−4i2i4i−2i2-1-212i−i−2ii0000−2i32i30023−23000000000000000000i3−i30000−3300000000000000000000000000
χ868-88i−8i-44−4i4i0000-424-2−4i2i4i−2i2-1-212i−i−2ii00002i3−2i300−2323000000000000000000−i3i300003−300000000000000000000000000
χ878-8−8i8i-444i−4i00002-4-24−2i4i2i−4i-121-2i−2i−i2i000000−2i32i300−2323000000000000000000i3−i300003−3000000000000000000000000
χ888-8−8i8i-444i−4i00002-4-24−2i4i2i−4i-121-2i−2i−i2i0000002i3−2i30023−23000000000000000000−i3i30000−33000000000000000000000000
χ898-8−8i8i-444i−4i0000-424-24i−2i−4i2i2-1-21−2ii2i−i0000−2i32i300−2323000000000000000000i3−i300003−300000000000000000000000000
χ908-8−8i8i-444i−4i0000-424-24i−2i−4i2i2-1-21−2ii2i−i00002i3−2i30023−23000000000000000000−i3i30000−3300000000000000000000000000

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