Finite Group Databasebeta

← Group #13155009

Character table — Group #13155009

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444444444444444448888888888888812121212121212121212121218181818181818182424242424242424242424243636363636363636363636363636108108108108
order124423461212333366666661212121212121212121212366666612121212121212888824242424242424242244661212242424242424242424242424688881224242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111
χ51111-11-11111111-1-1-11111-111111111-1-11-1-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-11-11-11111111111-1-1-1-1-1-1-1ii−i−i-1iiii−i−i−i−iii−i−i
χ61111-11-11111111-1-1-11111-111111111-1-11-1-1-1-1-11-1-1-111-1-111-1-11111-1-1-1-11-11-11111111111-1-1-1-1-1-1-1−i−iii-1−i−i−i−iiiii−i−iii
χ71111-11-11111111-1-1-11111-111111111-1-11-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1-111111-11-11111-1-1-1-1-1-1111111-1ii−i−i-1iiii−i−i−i−i−i−iii
χ81111-11-11111111-1-1-11111-111111111-1-11-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1-111111-11-11111-1-1-1-1-1-1111111-1−i−iii-1−i−i−i−iiiiiii−i−i
χ911-1-111-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iii−i−i−iiii−i−i−i1i−ii−i-1ii−i−iii−i−i1-11-1
χ1011-1-111-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iii−i−i−iiii−i−i−i1−ii−ii-1−i−iii−i−iii-11-11
χ1111-1-111-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−iiii−i−i−iiii1i−ii−i-1ii−i−iii−i−i-11-11
χ1211-1-111-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−iiii−i−i−iiii1−ii−ii-1−i−iii−i−iii1-11-1
χ1311-1-1-1111-1-11111-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111i−i−iiii−i−i−i−iii1-1-1111-1-1iii−i−i−i−i−i−iiii-11-1-11111-1-1-1-111−iii−i
χ1411-1-1-1111-1-11111-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111i−i−iiii−i−i−i−iii1-1-1111-1-1iii−i−i−i−i−i−iiii-1-111-11-1-11111-1-1i−i−ii
χ1511-1-1-1111-1-11111-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111−iii−i−i−iiiii−i−i1-1-1111-1-1−i−i−iiiiiii−i−i−i-11-1-11111-1-1-1-111i−i−ii
χ1611-1-1-1111-1-11111-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-111−iii−i−i−iiiii−i−i1-1-1111-1-1−i−i−iiiiiii−i−i−i-1-111-11-1-11111-1-1−iii−i
χ172222222222222222222222222222222222222222222222000000000000-2-2-2-2-2-2-2-2000000000000-20000-2000000000000
χ1822222-12-1-1-122-1-1-12222-1-1-12222-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-10000−i3i3−i3i3−i3i3−i3i3-2-2-2-211110−i3i30−i3i30−i3i30−i3i3100001000000000000
χ1922222-12-1-1-122-1-1-12222-1-1-12222-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-10000i3−i3i3−i3i3−i3i3−i3-2-2-2-211110i3−i30i3−i30i3−i30i3−i3100001000000000000
χ2022222-12-1-1-122-1-1-12222-1-1-12222-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12-1-12-1-12-1-12-1-1-10000-1000000000000
χ2122222-12-1-1-122-1-1-12222-1-1-12222-1-1-1-122-12-1-1-1-1-12-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-211-211-211-211-10000-1000000000000
χ222222-22-22222222-2-2-22222-222222222-2-22-2-2-2-2-22-2-2-222-2-2000000000000-22-22-2-2-2-2000000000000200002000000000000
χ232222-2-1-2-1-1-122-1-11-2-222-1-112222-1-1-1-1-2-2-1-21111-1-211-1-1110000−i3i3−i3i3i3−i3i3−i3-22-2211110−i3i30−i3i30i3−i30i3−i3-10000-1000000000000
χ242222-2-1-2-1-1-122-1-11-2-222-1-112222-1-1-1-1-2-2-1-21111-1-211-1-1110000i3−i3i3−i3−i3i3−i3i3-22-2211110i3−i30i3−i30−i3i30−i3i3-10000-1000000000000
χ252222-2-1-2-1-1-122-1-11-2-222-1-112222-1-1-1-1-2-2-1-21111-1-211-1-11122-2-2-1-1-1-111112-22-2-1-1-1-12-1-12-1-1-211-211100001000000000000
χ262222-2-1-2-1-1-122-1-11-2-222-1-112222-1-1-1-1-2-2-1-21111-1-211-1-111-2-2221111-1-1-1-12-22-2-1-1-1-1-211-2112-1-12-1-1100001000000000000
χ2722-2-222-22-2-222222222222-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2000000000000-2-222-2-222000000000000-200002000000000000
χ2822-2-22-1-2-11122-1-1-12222-1-11-2-2-2-21111-2-2-12-1-1-1-1-1-211111100003−3−333−3−33-2-22211-1-103−30−3303−30−3310000-1000000000000
χ2922-2-22-1-2-11122-1-1-12222-1-11-2-2-2-21111-2-2-12-1-1-1-1-1-21111110000−333−3−333−3-2-22211-1-10−3303−30−3303−310000-1000000000000
χ3022-2-22-1-2-11122-1-1-12222-1-11-2-2-2-21111-2-2-12-1-1-1-1-1-21111112i−2i2i−2i−i−iii−i−iii22-2-2-1-1112i−i−i−2iii2i−i−i−2iii-100001000000000000
χ3122-2-22-1-2-11122-1-1-12222-1-11-2-2-2-21111-2-2-12-1-1-1-1-1-2111111−2i2i−2i2iii−i−iii−i−i22-2-2-1-111−2iii2i−i−i−2iii2i−i−i-100001000000000000
χ3222-2-2-2222-2-22222-2-2-222222-2-2-2-2-2-2-2-2222-2-2-2-2-22222-2-222000000000000-222-2-2-22200000000000020000-2000000000000
χ3322-2-2-2-12-11122-1-11-2-222-1-1-1-2-2-2-2111122-1-21111-12-1-111-1-100003−3−33−333−3-222-211-1-103−30−330−3303−3-100001000000000000
χ3422-2-2-2-12-11122-1-11-2-222-1-1-1-2-2-2-2111122-1-21111-12-1-111-1-10000−333−33−3−33-222-211-1-10−3303−303−30−33-100001000000000000
χ3522-2-2-2-12-11122-1-11-2-222-1-1-1-2-2-2-2111122-1-21111-12-1-111-1-12i−2i−2i2i−i−iiiii−i−i2-2-22-1-1112i−i−i−2iii−2iii2i−i−i10000-1000000000000
χ3622-2-2-2-12-11122-1-11-2-222-1-1-1-2-2-2-2111122-1-21111-12-1-111-1-1−2i2i2i−2iii−i−i−i−iii2-2-22-1-111−2iii2i−i−i2i−i−i−2iii10000-1000000000000
χ3744444444441-2114-2-21-2114-2-2111111-2-2-2111-2-2-2111-2-2-2-222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3844444444441-2114-2-21-2114-2-2111111-2-2-2111-2-2-2111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000111111111111000000000000000000
χ394444444444-21-2-2411-21-2-2411-2-2-2-2-2-2111-2-2-2111-2-2-2111100000000000000000000000000000000022220-1-1-1-1-1-1-1-10000
χ404444444444-21-2-2411-21-2-2411-2-2-2-2-2-2111-2-2-2111-2-2-21111000000000000000000000000000000000-2-2-2-20111111110000
χ4144444-24-2-2-21-2−1−3i32−1+3i32-2-2-21-2−1−3i32−1+3i32-2-2-211−1−3i32−1−3i32−1+3i32−1+3i32-2-211−1−3i32−1+3i321111−1−3i32−1+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
χ4244444-24-2-2-21-2−1−3i32−1+3i32-2-2-21-2−1−3i32−1+3i32-2-2-211−1−3i32−1−3i32−1+3i32−1+3i32-2-211−1−3i32−1+3i321111−1−3i32−1+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
χ4344444-24-2-2-21-2−1+3i32−1−3i32-2-2-21-2−1+3i32−1−3i32-2-2-211−1+3i32−1+3i32−1−3i32−1−3i32-2-211−1+3i32−1−3i321111−1+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
χ4444444-24-2-2-21-2−1+3i32−1−3i32-2-2-21-2−1+3i32−1−3i32-2-2-211−1+3i32−1+3i32−1−3i32−1−3i32-2-211−1+3i32−1−3i321111−1+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
χ454444-44-44441-211-4221-211-4-2-211111122-2-1-1-122-2-1-1-1-2-22222-2-22222-2-2-2-200000000-1-1-1-1-1-1111111000000000000000000
χ464444-44-44441-211-4221-211-4-2-211111122-2-1-1-122-2-1-1-1-2-222-2-222-2-2-2-2222200000000111111-1-1-1-1-1-1000000000000000000
χ474444-44-4444-21-2-2-4-1-1-21-2-2-411-2-2-2-2-2-2-1-11222-1-1122211-1-10000000000000000000000000000000002i2i−2i−2i0−i−i−i−iiiii0000
χ484444-44-4444-21-2-2-4-1-1-21-2-2-411-2-2-2-2-2-2-1-11222-1-1122211-1-1000000000000000000000000000000000−2i−2i2i2i0iiii−i−i−i−i0000
χ494444-4-2-4-2-2-21-2−1−3i32−1+3i322221-2−1−3i32−1+3i322-2-211−1−3i32−1−3i32−1+3i32−1+3i32221-11+3i321−3i32-1-11-11+3i321−3i3211-1-122-2-2−1−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
χ504444-4-2-4-2-2-21-2−1−3i32−1+3i322221-2−1−3i32−1+3i322-2-211−1−3i32−1−3i32−1+3i32−1+3i32221-11+3i321−3i32-1-11-11+3i321−3i3211-1-1-2-2221+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
χ514444-4-2-4-2-2-21-2−1+3i32−1−3i322221-2−1+3i32−1−3i322-2-211−1+3i32−1+3i32−1−3i32−1−3i32221-11−3i321+3i32-1-11-11−3i321+3i3211-1-122-2-2−1+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
χ524444-4-2-4-2-2-21-2−1+3i32−1−3i322221-2−1+3i32−1−3i322-2-211−1+3i32−1+3i32−1−3i32−1−3i32221-11−3i321+3i32-1-11-11−3i321+3i3211-1-1-2-2221−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
χ5344-4-444-44-4-41-2114-2-21-211-422-1-1-1-1-1-122-2111-2-2-2-1-1-122222i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000−i−i−iiii−i−i−iiii000000000000000000
χ5444-4-444-44-4-41-2114-2-21-211-422-1-1-1-1-1-122-2111-2-2-2-1-1-12222−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000iii−i−i−iiii−i−i−i000000000000000000
χ5544-4-444-44-4-4-21-2-2411-21-2-2-4-1-1222222-1-11-2-2-2111222-1-1-1-10000000000000000000000000000000002i−2i2i−2i0−i−iii−i−iii0000
χ5644-4-444-44-4-4-21-2-2411-21-2-2-4-1-1222222-1-11-2-2-2111222-1-1-1-1000000000000000000000000000000000−2i2i−2i2i0ii−i−iii−i−i0000
χ5744-4-44-2-4-2221-2−1−3i32−1+3i32-2-2-21-2−1−3i32−1+3i32222-1-11+3i321+3i321−3i321−3i322211−1−3i32−1+3i32111-11+3i321−3i32-1-1-1-12i−2i2i−2i2ζ222ζ14−2ζ22−2ζ142ζ222ζ14−2ζ22−2ζ1400000000−i−ζ22−ζ14iζ22ζ14−i−ζ22−ζ14iζ22ζ14000000000000000000
χ5844-4-44-2-4-2221-2−1−3i32−1+3i32-2-2-21-2−1−3i32−1+3i32222-1-11+3i321+3i321−3i321−3i322211−1−3i32−1+3i32111-11+3i321−3i32-1-1-1-1−2i2i−2i2i−2ζ22−2ζ142ζ222ζ14−2ζ22−2ζ142ζ222ζ1400000000iζ22ζ14−i−ζ22−ζ14iζ22ζ14−i−ζ22−ζ14000000000000000000
χ5944-4-44-2-4-2221-2−1+3i32−1−3i32-2-2-21-2−1+3i32−1−3i32222-1-11−3i321−3i321+3i321+3i322211−1+3i32−1−3i32111-11−3i321+3i32-1-1-1-12i−2i2i−2i2ζ142ζ22−2ζ14−2ζ222ζ142ζ22−2ζ14−2ζ2200000000−i−ζ14−ζ22iζ14ζ22−i−ζ14−ζ22iζ14ζ22000000000000000000
χ6044-4-44-2-4-2221-2−1+3i32−1−3i32-2-2-21-2−1+3i32−1−3i32222-1-11−3i321−3i321+3i321+3i322211−1+3i32−1−3i32111-11−3i321+3i32-1-1-1-1−2i2i−2i2i−2ζ14−2ζ222ζ142ζ22−2ζ14−2ζ222ζ142ζ2200000000iζ14ζ22−i−ζ14−ζ22iζ14ζ22−i−ζ14−ζ22000000000000000000
χ6144-4-4-4444-4-41-211-4221-211422-1-1-1-1-1-1-2-2-2-1-1-122-211122-2-22i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000−i−i−iiiiiii−i−i−i000000000000000000
χ6244-4-4-4444-4-41-211-4221-211422-1-1-1-1-1-1-2-2-2-1-1-122-211122-2-2−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000iii−i−i−i−i−i−iiii000000000000000000
χ6344-4-4-4444-4-4-21-2-2-4-1-1-21-2-24-1-1222222111222-1-11-2-2-2-1-1110000000000000000000000000000000002-2-220-1-11111-1-10000
χ6444-4-4-4444-4-4-21-2-2-4-1-1-21-2-24-1-1222222111222-1-11-2-2-2-1-111000000000000000000000000000000000-222-2011-1-1-1-1110000
χ6544-4-4-4-24-2221-2−1−3i32−1+3i322221-2−1−3i32−1+3i32-222-1-11+3i321+3i321−3i321−3i32-2-21-11+3i321−3i32-1-111−1−3i32−1+3i32-1-1112i−2i−2i2i2ζ222ζ14−2ζ22−2ζ14−2ζ22−2ζ142ζ222ζ1400000000−i−ζ22−ζ14iζ22ζ14iζ22ζ14−i−ζ22−ζ14000000000000000000
χ6644-4-4-4-24-2221-2−1−3i32−1+3i322221-2−1−3i32−1+3i32-222-1-11+3i321+3i321−3i321−3i32-2-21-11+3i321−3i32-1-111−1−3i32−1+3i32-1-111−2i2i2i−2i−2ζ22−2ζ142ζ222ζ142ζ222ζ14−2ζ22−2ζ1400000000iζ22ζ14−i−ζ22−ζ14−i−ζ22−ζ14iζ22ζ14000000000000000000
χ6744-4-4-4-24-2221-2−1+3i32−1−3i322221-2−1+3i32−1−3i32-222-1-11−3i321−3i321+3i321+3i32-2-21-11−3i321+3i32-1-111−1+3i32−1−3i32-1-1112i−2i−2i2i2ζ142ζ22−2ζ14−2ζ22−2ζ14−2ζ222ζ142ζ2200000000−i−ζ14−ζ22iζ14ζ22iζ14ζ22−i−ζ14−ζ22000000000000000000
χ6844-4-4-4-24-2221-2−1+3i32−1−3i322221-2−1+3i32−1−3i32-222-1-11−3i321−3i321+3i321+3i32-2-21-11−3i321+3i32-1-111−1+3i32−1−3i32-1-111−2i2i2i−2i−2ζ14−2ζ222ζ142ζ222ζ142ζ22−2ζ14−2ζ2200000000iζ14ζ22−i−ζ14−ζ22−i−ζ14−ζ22iζ14ζ22000000000000000000
χ694-44i−4i040-44i−4i4444000-4-4-4-404i−4i4i−4i4i−4i4i−4i00400000-40004i−4i0000000000000000000000000000000000000000000000000000
χ704-44i−4i040-44i−4i-21-2-203-32-1220i−i−2i2i−2i2i−2i2i3i−3i10003-3-1000i−i3i−3i00000000000000000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ714-44i−4i040-44i−4i-21-2-203-32-1220i−i−2i2i−2i2i−2i2i3i−3i10003-3-1000i−i3i−3i00000000000000000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ724-44i−4i040-44i−4i-21-2-20-332-1220i−i−2i2i−2i2i−2i2i−3i3i1000-33-1000i−i−3i3i00000000000000000000000000000000000000−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ130000
χ734-44i−4i040-44i−4i-21-2-20-332-1220i−i−2i2i−2i2i−2i2i−3i3i1000-33-1000i−i−3i3i00000000000000000000000000000000000000ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ130000
χ744-44i−4i0-202−2i2i44-2-2000-4-42204i−4i4i−4i−2i2i−2i2i00-2000002000−2i2i000000000000000000−2i32i323−23000000000000000000000000000000
χ754-44i−4i0-202−2i2i44-2-2000-4-42204i−4i4i−4i−2i2i−2i2i00-2000002000−2i2i0000000000000000002i3−2i3−2323000000000000000000000000000000
χ764-4−4i4i040-4−4i4i4444000-4-4-4-40−4i4i−4i4i−4i4i−4i4i00400000-4000−4i4i0000000000000000000000000000000000000000000000000000
χ774-4−4i4i040-4−4i4i-21-2-203-32-1220−ii2i−2i2i−2i2i−2i−3i3i10003-3-1000−ii−3i3i00000000000000000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ784-4−4i4i040-4−4i4i-21-2-203-32-1220−ii2i−2i2i−2i2i−2i−3i3i10003-3-1000−ii−3i3i00000000000000000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ794-4−4i4i040-4−4i4i-21-2-20-332-1220−ii2i−2i2i−2i2i−2i3i−3i1000-33-1000−ii3i−3i00000000000000000000000000000000000000ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ230000
χ804-4−4i4i040-4−4i4i-21-2-20-332-1220−ii2i−2i2i−2i2i−2i3i−3i1000-33-1000−ii3i−3i00000000000000000000000000000000000000−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ230000
χ814-4−4i4i0-2022i−2i44-2-2000-4-4220−4i4i−4i4i2i−2i2i−2i00-20000020002i−2i000000000000000000−2i32i3−2323000000000000000000000000000000
χ824-4−4i4i0-2022i−2i44-2-2000-4-4220−4i4i−4i4i2i−2i2i−2i00-20000020002i−2i0000000000000000002i3−2i323−23000000000000000000000000000000
χ8388888-48-4-4-4-4222-422-4222-422-4-4222222-1-422-1-1-1-422-1-1-1-100000000000000000000000000000000000000000000000000
χ848888-8-4-8-4-4-4-42224-2-2-4222422-4-42222-2-2-14-2-211-14-2-2-1-11100000000000000000000000000000000000000000000000000
χ8588-8-88-4-8-444-4222-422-42224-2-244-2-2-2-2-2-2-1-422-1-1-14-2-2111100000000000000000000000000000000000000000000000000
χ8688-8-8-8-48-444-42224-2-2-4222-4-2-244-2-2-2-222-14-2-211-1-42211-1-100000000000000000000000000000000000000000000000000
χ878-88i−8i080-88i−8i2-422000-24-2-20−4i4i2i−2i2i−2i2i−2i00-4000004000−4i4i0000000000000000000000000000000000000000000000000000
χ888-88i−8i0-404−4i4i2-4−1−3i3−1+3i3000-241+3i31−3i30−4i4i2i−2i−2ζ14+4ζ222ζ14−4ζ224ζ14−2ζ22−4ζ14+2ζ2200200000-20002i−2i0000000000000000000000000000000000000000000000000000
χ898-88i−8i0-404−4i4i2-4−1+3i3−1−3i3000-241−3i31+3i30−4i4i2i−2i4ζ14−2ζ22−4ζ14+2ζ22−2ζ14+4ζ222ζ14−4ζ2200200000-20002i−2i0000000000000000000000000000000000000000000000000000
χ908-88i−8i0-404−4i4i-422206-64-2-2-202i−2i−4i4i2i−2i2i−2i6i−6i-1000-331000−ii−3i3i00000000000000000000000000000000000000000000000000
χ918-88i−8i0-404−4i4i-42220-664-2-2-202i−2i−4i4i2i−2i2i−2i−6i6i-10003-31000−ii3i−3i00000000000000000000000000000000000000000000000000
χ928-8−8i8i080-8−8i8i2-422000-24-2-204i−4i−2i2i−2i2i−2i2i00-40000040004i−4i0000000000000000000000000000000000000000000000000000
χ938-8−8i8i0-4044i−4i2-4−1−3i3−1+3i3000-241+3i31−3i304i−4i−2i2i2ζ14−4ζ22−2ζ14+4ζ22−4ζ14+2ζ224ζ14−2ζ2200200000-2000−2i2i0000000000000000000000000000000000000000000000000000
χ948-8−8i8i0-4044i−4i2-4−1+3i3−1−3i3000-241−3i31+3i304i−4i−2i2i−4ζ14+2ζ224ζ14−2ζ222ζ14−4ζ22−2ζ14+4ζ2200200000-2000−2i2i0000000000000000000000000000000000000000000000000000
χ958-8−8i8i0-4044i−4i-422206-64-2-2-20−2i2i4i−4i−2i2i−2i2i−6i6i-1000-331000i−i3i−3i00000000000000000000000000000000000000000000000000
χ968-8−8i8i0-4044i−4i-42220-664-2-2-20−2i2i4i−4i−2i2i−2i2i6i−6i-10003-31000i−i−3i3i00000000000000000000000000000000000000000000000000

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