Finite Group Databasebeta

← Group #11756988

Character table — Group #11756988

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222244444444455888888888101010101015151515202020303030303030112222244444444455888888888101010101015151515202020303030303030
order123444651012121215153030442020206060606060602221212888866688888822644461010121212303030304420202060606060606022212128888666888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1
χ31111111111111111-1-1111111111-1-1-1-1-1ii−i−i-1-1-1iii−i−i−i1111111111111111-1-1111111111-1-1-1-1-1ii−i−i-1-1-1iii−i−i−i
χ41111111111111111-1-1111111111-1-1-1-1-1−i−iii-1-1-1−i−i−iiii1111111111111111-1-1111111111-1-1-1-1-1−i−iii-1-1-1−i−i−iiii
χ51111-1-11111-1-11111111-1-111-1-1-1-11-1-11111111-1-11-1-11-1-11111-1-11111-1-11111111-1-111-1-1-1-11-1-11111111-1-11-1-11-1-1
χ61111-1-11111-1-11111111-1-111-1-1-1-11-1-111-1-1-1-11-1-1-111-1111111-1-11111-1-11111111-1-111-1-1-1-11-1-111-1-1-1-11-1-1-111-111
χ71111-1-11111-1-11111-1-11-1-111-1-1-1-1-111-1-1ii−i−i-111i−i−i−iii1111-1-11111-1-11111-1-11-1-111-1-1-1-1-111-1-1ii−i−i-111i−i−i−iii
χ81111-1-11111-1-11111-1-11-1-111-1-1-1-1-111-1-1−i−iii-111−iiii−i−i1111-1-11111-1-11111-1-11-1-111-1-1-1-1-111-1-1−i−iii-111−iiii−i−i
χ9111-11-1111-11-1111111-11-1-1-111-1-1-11-1111111-11-1-11-1-11-1111-11-1111-11-1111111-11-1-1-111-1-1-11-1111111-11-1-11-1-11-1
χ10111-11-1111-11-1111111-11-1-1-111-1-1-11-111-1-1-1-1-11-11-111-11111-11-1111-11-1111111-11-1-1-111-1-1-11-111-1-1-1-1-11-11-111-11
χ11111-11-1111-11-11111-1-1-11-1-1-111-1-11-11-1-1ii−i−i1-11−ii−ii−ii111-11-1111-11-11111-1-1-11-1-1-111-1-11-11-1-1ii−i−i1-11−ii−ii−ii
χ12111-11-1111-11-11111-1-1-11-1-1-111-1-11-11-1-1−i−iii1-11i−ii−ii−i111-11-1111-11-11111-1-1-11-1-1-111-1-11-11-1-1−i−iii1-11i−ii−ii−i
χ13111-1-11111-1-11111111-1-11-1-1-1-111-1-11111111-1-11-1-11-1-11111-1-11111-1-11111111-1-11-1-1-1-111-1-11111111-1-11-1-11-1-11
χ14111-1-11111-1-11111111-1-11-1-1-1-111-1-1111-1-1-1-1-1-1111-111-1111-1-11111-1-11111111-1-11-1-1-1-111-1-1111-1-1-1-1-1-1111-111-1
χ15111-1-11111-1-111111-1-1-1-11-1-1-1-11111-1-1-1ii−i−i11-1−i−iiii−i111-1-11111-1-111111-1-1-1-11-1-1-1-11111-1-1-1ii−i−i11-1−i−iiii−i
χ16111-1-11111-1-111111-1-1-1-11-1-1-1-11111-1-1-1−i−iii11-1ii−i−i−ii111-1-11111-1-111111-1-1-1-11-1-1-1-11111-1-1-1−i−iii11-1ii−i−i−ii
χ1722-1222-122-1-1-1-1-1-1-122222-1-1-1-1-1-1222-1-10000-1-1-100000022-1222-122-1-1-1-1-1-1-122222-1-1-1-1-1-1222-1-10000-1-1-1000000
χ1822-1222-122-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-2-2-211000011100000022-1222-122-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-2-2-2110000111000000
χ1922-12-2-2-122-111-1-1-1-1222-2-2-1-111112-2-2-1-10000-11100000022-12-2-2-122-111-1-1-1-1222-2-2-1-111112-2-2-1-10000-111000000
χ2022-12-2-2-122-111-1-1-1-1-2-22-2-2-1-11111-2221100001-1-100000022-12-2-2-122-111-1-1-1-1-2-22-2-2-1-11111-2221100001-1-1000000
χ2122-1-22-2-1221-11-1-1-1-122-22-211-1-111-22-2-1-100001-1100000022-1-22-2-1221-11-1-1-1-122-22-211-1-111-22-2-1-100001-11000000
χ2222-1-22-2-1221-11-1-1-1-1-2-2-22-211-1-1112-22110000-11-100000022-1-22-2-1221-11-1-1-1-1-2-2-22-211-1-1112-22110000-11-1000000
χ2322-1-2-22-12211-1-1-1-1-122-2-221111-1-1-2-22-1-1000011-100000022-1-2-22-12211-1-1-1-1-122-2-221111-1-1-2-22-1-1000011-1000000
χ2422-1-2-22-12211-1-1-1-1-1-2-2-2-221111-1-122-2110000-1-1100000022-1-2-22-12211-1-1-1-1-1-2-2-2-221111-1-122-2110000-1-11000000
χ252-22000-22-200022-2-22i−2i0000000000002i−2i2ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000000002-22000-22-200022-2-22i−2i0000000000002i−2i2ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000000
χ262-22000-22-200022-2-22i−2i0000000000002i−2i−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000002-22000-22-200022-2-22i−2i0000000000002i−2i−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000
χ272-22000-22-200022-2-2−2i2i000000000000−2i2i−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000002-22000-22-200022-2-2−2i2i000000000000−2i2i−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000
χ282-22000-22-200022-2-2−2i2i000000000000−2i2i2ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000000002-22000-22-200022-2-2−2i2i000000000000−2i2i2ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000000
χ294444444-1-1444-1-1-1-100-1-1-1-1-1-1-1-1-10000000000000000004444444-1-1444-1-1-1-100-1-1-1-1-1-1-1-1-1000000000000000000
χ304444-4-44-1-14-4-4-1-1-1-100-111-1-111110000000000000000004444-4-44-1-14-4-4-1-1-1-100-111-1-11111000000000000000000
χ31444-44-44-1-1-44-4-1-1-1-1001-1111-1-111000000000000000000444-44-44-1-1-44-4-1-1-1-1001-1111-1-111000000000000000000
χ32444-4-444-1-1-4-44-1-1-1-10011-11111-1-1000000000000000000444-4-444-1-1-4-44-1-1-1-10011-11111-1-1000000000000000000
χ3344-2444-2-1-1-2-2-21−i1521+i1521−i1521+i15200-1-1-11−i1521+i1521−i1521+i1521−i1521+i15200000000000000000044-2444-2-1-1-2-2-21−i1521+i1521−i1521+i15200-1-1-11−i1521+i1521−i1521+i1521−i1521+i152000000000000000000
χ3444-2444-2-1-1-2-2-21+i1521−i1521+i1521−i15200-1-1-11+i1521−i1521+i1521−i1521+i1521−i15200000000000000000044-2444-2-1-1-2-2-21+i1521−i1521+i1521−i15200-1-1-11+i1521−i1521+i1521−i1521+i1521−i152000000000000000000
χ3544-24-4-4-2-1-1-2221−i1521+i1521−i1521+i15200-1111−i1521+i152−1+i152−1−i152−1+i152−1−i15200000000000000000044-24-4-4-2-1-1-2221−i1521+i1521−i1521+i15200-1111−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000000000000
χ3644-24-4-4-2-1-1-2221+i1521−i1521+i1521−i15200-1111+i1521−i152−1−i152−1+i152−1−i152−1+i15200000000000000000044-24-4-4-2-1-1-2221+i1521−i1521+i1521−i15200-1111+i1521−i152−1−i152−1+i152−1−i152−1+i152000000000000000000
χ3744-2-44-4-2-1-12-221−i1521+i1521−i1521+i152001-11−1+i152−1−i1521−i1521+i152−1+i152−1−i15200000000000000000044-2-44-4-2-1-12-221−i1521+i1521−i1521+i152001-11−1+i152−1−i1521−i1521+i152−1+i152−1−i152000000000000000000
χ3844-2-44-4-2-1-12-221+i1521−i1521+i1521−i152001-11−1−i152−1+i1521+i1521−i152−1−i152−1+i15200000000000000000044-2-44-4-2-1-12-221+i1521−i1521+i1521−i152001-11−1−i152−1+i1521+i1521−i152−1−i152−1+i152000000000000000000
χ3944-2-4-44-2-1-122-21−i1521+i1521−i1521+i1520011-1−1+i152−1−i152−1+i152−1−i1521−i1521+i15200000000000000000044-2-4-44-2-1-122-21−i1521+i1521−i1521+i1520011-1−1+i152−1−i152−1+i152−1−i1521−i1521+i152000000000000000000
χ4044-2-4-44-2-1-122-21+i1521−i1521+i1521−i1520011-1−1−i152−1+i152−1−i152−1+i1521+i1521−i15200000000000000000044-2-4-44-2-1-122-21+i1521−i1521+i1521−i1520011-1−1−i152−1+i152−1−i152−1+i1521+i1521−i152000000000000000000
χ414-4-200024-4000-2-2224i−4i000000000000−2i2i00000000000004-4-200024-4000-2-2224i−4i000000000000−2i2i0000000000000
χ424-4-200024-4000-2-222−4i4i0000000000002i−2i00000000000004-4-200024-4000-2-222−4i4i0000000000002i−2i0000000000000
χ438-88000-8-22000-2-222000000000000000000000000000008-88000-8-22000-2-22200000000000000000000000000000
χ448-8-40004-220001−i151+i15−1+i15−1−i15000000000000000000000000000008-8-40004-220001−i151+i15−1+i15−1−i1500000000000000000000000000000
χ458-8-40004-220001+i151−i15−1−i15−1+i15000000000000000000000000000008-8-40004-220001+i151−i15−1−i15−1+i1500000000000000000000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111
χ481111111111111111-1-1111111111-1-1-1-1-1ii−i−i-1-1-1iii−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111−i−iii111−i−i−iiii
χ491111111111111111-1-1111111111-1-1-1-1-1−i−iii-1-1-1−i−i−iiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111ii−i−i111iii−i−i−i
χ501111-1-11111-1-11111111-1-111-1-1-1-11-1-11111111-1-11-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-1-111-111-111
χ511111-1-11111-1-11111111-1-111-1-1-1-11-1-111-1-1-1-11-1-1-111-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-11111-111-1-11111-1111-1-11-1-1
χ521111-1-11111-1-11111-1-11-1-111-1-1-1-1-111-1-1ii−i−i-111i−i−i−iii-1-1-1-111-1-1-1-111-1-1-1-111-111-1-111111-1-111−i−iii1-1-1−iiii−i−i
χ531111-1-11111-1-11111-1-11-1-111-1-1-1-1-111-1-1−i−iii-111−iiii−i−i-1-1-1-111-1-1-1-111-1-1-1-111-111-1-111111-1-111ii−i−i1-1-1i−i−i−iii
χ54111-11-1111-11-1111111-11-1-1-111-1-1-11-1111111-11-1-11-1-11-1-1-1-11-11-1-1-11-11-1-1-1-1-1-11-1111-1-1111-11-1-1-1-1-1-11-111-111-11
χ55111-11-1111-11-1111111-11-1-1-111-1-1-11-111-1-1-1-1-11-11-111-11-1-1-11-11-1-1-11-11-1-1-1-1-1-11-1111-1-1111-11-1-111111-11-11-1-11-1
χ56111-11-1111-11-11111-1-1-11-1-1-111-1-11-11-1-1ii−i−i1-11−ii−ii−ii-1-1-11-11-1-1-11-11-1-1-1-1111-1111-1-111-11-111−i−iii-11-1i−ii−ii−i
χ57111-11-1111-11-11111-1-1-11-1-1-111-1-11-11-1-1−i−iii1-11i−ii−ii−i-1-1-11-11-1-1-11-11-1-1-1-1111-1111-1-111-11-111ii−i−i-11-1−ii−ii−ii
χ58111-1-11111-1-11111111-1-11-1-1-1-111-1-11111111-1-11-1-11-1-11-1-1-111-1-1-1-111-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-1-111-111-111-1
χ59111-1-11111-1-11111111-1-11-1-1-1-111-1-1111-1-1-1-1-1-1111-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-11111-1-111-1-1-1111111-1-1-11-1-11
χ60111-1-11111-1-111111-1-1-1-11-1-1-1-11111-1-1-1ii−i−i11-1−i−iiii−i-1-1-111-1-1-1-111-1-1-1-1-11111-11111-1-1-1-1111−i−iii-1-11ii−i−i−ii
χ61111-1-11111-1-111111-1-1-1-11-1-1-1-11111-1-1-1−i−iii11-1ii−i−i−ii-1-1-111-1-1-1-111-1-1-1-1-11111-11111-1-1-1-1111ii−i−i-1-11−i−iiii−i
χ6222-1222-122-1-1-1-1-1-1-122222-1-1-1-1-1-1222-1-10000-1-1-1000000-2-21-2-2-21-2-21111111-2-2-2-2-2111111-2-2-2110000111000000
χ6322-1222-122-1-1-1-1-1-1-1-2-2222-1-1-1-1-1-1-2-2-2110000111000000-2-21-2-2-21-2-2111111122-2-2-2111111222-1-10000-1-1-1000000
χ6422-12-2-2-122-111-1-1-1-1222-2-2-1-111112-2-2-1-10000-111000000-2-21-2221-2-21-1-11111-2-2-22211-1-1-1-1-2221100001-1-1000000
χ6522-12-2-2-122-111-1-1-1-1-2-22-2-2-1-11111-2221100001-1-1000000-2-21-2221-2-21-1-1111122-22211-1-1-1-12-2-2-1-10000-111000000
χ6622-1-22-2-1221-11-1-1-1-122-22-211-1-111-22-2-1-100001-11000000-2-212-221-2-2-11-11111-2-22-22-1-111-1-12-22110000-11-1000000
χ6722-1-22-2-1221-11-1-1-1-1-2-2-22-211-1-1112-22110000-11-1000000-2-212-221-2-2-11-11111222-22-1-111-1-1-22-2-1-100001-11000000
χ6822-1-2-22-12211-1-1-1-1-122-2-221111-1-1-2-22-1-1000011-1000000-2-2122-21-2-2-1-111111-2-222-2-1-1-1-11122-2110000-1-11000000
χ6922-1-2-22-12211-1-1-1-1-1-2-2-2-221111-1-122-2110000-1-11000000-2-2122-21-2-2-1-1111112222-2-1-1-1-111-2-22-1-1000011-1000000
χ702-22000-22-200022-2-22i−2i0000000000002i−2i2ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000000-22-20002-22000-2-222−2i2i000000000000−2i2i−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000
χ712-22000-22-200022-2-22i−2i0000000000002i−2i−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000-22-20002-22000-2-222−2i2i000000000000−2i2i2ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000000
χ722-22000-22-200022-2-2−2i2i000000000000−2i2i−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000-22-20002-22000-2-2222i−2i0000000000002i−2i2ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000000
χ732-22000-22-200022-2-2−2i2i000000000000−2i2i2ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000000-22-20002-22000-2-2222i−2i0000000000002i−2i−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000
χ744444444-1-1444-1-1-1-100-1-1-1-1-1-1-1-1-1000000000000000000-4-4-4-4-4-4-411-4-4-4111100111111111000000000000000000
χ754444-4-44-1-14-4-4-1-1-1-100-111-1-11111000000000000000000-4-4-4-444-411-4441111001-1-111-1-1-1-1000000000000000000
χ76444-44-44-1-1-44-4-1-1-1-1001-1111-1-111000000000000000000-4-4-44-44-4114-44111100-11-1-1-111-1-1000000000000000000
χ77444-4-444-1-1-4-44-1-1-1-10011-11111-1-1000000000000000000-4-4-444-4-41144-4111100-1-11-1-1-1-111000000000000000000
χ7844-2444-2-1-1-2-2-21−i1521+i1521−i1521+i15200-1-1-11−i1521+i1521−i1521+i1521−i1521+i152000000000000000000-4-42-4-4-4211222−1+i152−1−i152−1+i152−1−i15200111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152000000000000000000
χ7944-2444-2-1-1-2-2-21+i1521−i1521+i1521−i15200-1-1-11+i1521−i1521+i1521−i1521+i1521−i152000000000000000000-4-42-4-4-4211222−1−i152−1+i152−1−i152−1+i15200111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152000000000000000000
χ8044-24-4-4-2-1-1-2221−i1521+i1521−i1521+i15200-1111−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000000000000-4-42-4442112-2-2−1+i152−1−i152−1+i152−1−i152001-1-1−1+i152−1−i1521−i1521+i1521−i1521+i152000000000000000000
χ8144-24-4-4-2-1-1-2221+i1521−i1521+i1521−i15200-1111+i1521−i152−1−i152−1+i152−1−i152−1+i152000000000000000000-4-42-4442112-2-2−1−i152−1+i152−1−i152−1+i152001-1-1−1−i152−1+i1521+i1521−i1521+i1521−i152000000000000000000
χ8244-2-44-4-2-1-12-221−i1521+i1521−i1521+i152001-11−1+i152−1−i1521−i1521+i152−1+i152−1−i152000000000000000000-4-424-44211-22-2−1+i152−1−i152−1+i152−1−i15200-11-11−i1521+i152−1+i152−1−i1521−i1521+i152000000000000000000
χ8344-2-44-4-2-1-12-221+i1521−i1521+i1521−i152001-11−1−i152−1+i1521+i1521−i152−1−i152−1+i152000000000000000000-4-424-44211-22-2−1−i152−1+i152−1−i152−1+i15200-11-11+i1521−i152−1−i152−1+i1521+i1521−i152000000000000000000
χ8444-2-4-44-2-1-122-21−i1521+i1521−i1521+i1520011-1−1+i152−1−i152−1+i152−1−i1521−i1521+i152000000000000000000-4-4244-4211-2-22−1+i152−1−i152−1+i152−1−i15200-1-111−i1521+i1521−i1521+i152−1+i152−1−i152000000000000000000
χ8544-2-4-44-2-1-122-21+i1521−i1521+i1521−i1520011-1−1−i152−1+i152−1−i152−1+i1521+i1521−i152000000000000000000-4-4244-4211-2-22−1−i152−1+i152−1−i152−1+i15200-1-111+i1521−i1521+i1521−i152−1−i152−1+i152000000000000000000
χ864-4-200024-4000-2-2224i−4i000000000000−2i2i0000000000000-442000-2-4400022-2-2−4i4i0000000000002i−2i0000000000000
χ874-4-200024-4000-2-222−4i4i0000000000002i−2i0000000000000-442000-2-4400022-2-24i−4i000000000000−2i2i0000000000000
χ888-88000-8-22000-2-22200000000000000000000000000000-88-800082-200022-2-200000000000000000000000000000
χ898-8-40004-220001−i151+i15−1+i15−1−i1500000000000000000000000000000-884000-42-2000−1+i15−1−i151−i151+i1500000000000000000000000000000
χ908-8-40004-220001+i151−i15−1−i15−1+i1500000000000000000000000000000-884000-42-2000−1−i15−1+i151+i151−i1500000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.