Finite Group Databasebeta

← Group #14282527

Character table — Group #14282527

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222244444444444444444444555588888888888888888888888810101010101016161616161616161616161620202020202020204040404040406060606060606060120120120120
order1222344666245661010101212121215153030303030304444246610101212202020203030303060606060606060604412121212101020203030303060606060441212121212124412121212888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ6111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ91111111111-1-11-1-111111-1-11111111111111-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-111-1-11-11-1
χ101111111111-1-11-1-111111-1-11111111111111-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-111-1-111-11-11
χ111111111111-1-11-1-111111-1-1111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-11-111-1-111-1-111-1-1-11-11
χ121111111111-1-11-1-111111-1-1111111111111-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-11-111-1-1-1-111-1-1111-11-1
χ131111111111-1-11-1-111111-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111-111-1-1ii−i−i−i−iiii−i−ii
χ141111111111-1-11-1-111111-1-111111111-1-1-1-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111-111-1-1−i−iiiii−i−i−iii−i
χ151111111111-1-11-1-111111-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-11-1-111ii−i−i−i−iii−iii−i
χ161111111111-1-11-1-111111-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-11-1-111−i−iiiii−i−ii−i−ii
χ1722222-2-22222-2222222-2-2-2-222222222222200002200-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222000000000000-22-2-2-2-222000000000000000000
χ1822222-2-22222-2222222-2-2-2-222222222-2-2-2-200002200-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-20000000000002-22222-2-2000000000000000000
χ1922222-2-2222-222-2-2222-2-2222222222222220000-2-200-2-222-2-2-2-2-2-2-2-22222-2-222220000000000002-2-2-222-2-2000000000000000000
χ2022222-2-2222-222-2-2222-2-22222222222-2-2-2-20000-2-200-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2000000000000-2222-2-222000000000000000000
χ212222-122-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ222222-122-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-2-21122112222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-21111111122-1-1-1-1-1-1-2-21111000000000000
χ232222-122-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2111111-2-21111000000000000
χ242222-122-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21122112222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-211111111-2-211111122-1-1-1-1000000000000
χ252222-122-1-1-1-2-2211222-1-111-1-1-1-1-1-1-1-122222-2-1-1-2-21122-2-21111-1-1-1-1111122-1-1-1-122-2-2-1-1-1-11111-2-2-1-11111-2211-1-1000000000000
χ262222-122-1-1-1-2-2211222-1-111-1-1-1-1-1-1-1-12222-2211-2-2-1-122-2-21111-1-1-1-1111122-1-1-1-1-2-2221111-1-1-1-1-2-2-1-111112-2-1-111000000000000
χ272222-122-1-1-1-2-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-22-2-1-1-2-21122-2-21111-1-1-1-11111-2-2111122-2-2-1-1-1-111112211-1-1-1-12-2-1-111000000000000
χ282222-122-1-1-1-2-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-2211-2-2-1-122-2-21111-1-1-1-11111-2-21111-2-2221111-1-1-1-12211-1-1-1-1-2211-1-1000000000000
χ292222-1-2-2-1-1-12-22-1-12221111-1-1-1-1-1-1-1-1222200−i3i322−i3i3-2-2-2-2-1-1-1-111111111-2-2-1-1-1-10000−i3−i3i3i3−i3−i3i3i3-221111-1-100−i3i3−i3i3000000000000
χ302222-1-2-2-1-1-12-22-1-12221111-1-1-1-1-1-1-1-1222200i3−i322i3−i3-2-2-2-2-1-1-1-111111111-2-2-1-1-1-10000i3i3−i3−i3i3i3−i3−i3-221111-1-100i3−i3i3−i3000000000000
χ312222-1-2-2-1-1-12-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-200−i3i322−i3i3-2-2-2-2-1-1-1-1111111112211110000−i3−i3i3i3−i3−i3i3i32-2-1-1-1-11100i3−i3i3−i3000000000000
χ322222-1-2-2-1-1-12-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-200i3−i322i3−i3-2-2-2-2-1-1-1-1111111112211110000i3i3−i3−i3i3i3−i3−i32-2-1-1-1-11100−i3i3−i3i3000000000000
χ332222-1-2-2-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-1222200−i3i3-2-2i3−i3-2-22211111111-1-1-1-1-2-2-1-1-1-10000−i3−i3i3i3i3i3−i3−i32-211-1-11100i3−i3−i3i3000000000000
χ342222-1-2-2-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-1222200i3−i3-2-2−i3i3-2-22211111111-1-1-1-1-2-2-1-1-1-10000i3i3−i3−i3−i3−i3i3i32-211-1-11100−i3i3i3−i3000000000000
χ352222-1-2-2-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-200−i3i3-2-2i3−i3-2-22211111111-1-1-1-12211110000−i3−i3i3i3i3i3−i3−i3-22-1-111-1-100−i3i3i3−i3000000000000
χ362222-1-2-2-1-1-1-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-200i3−i3-2-2−i3i3-2-22211111111-1-1-1-12211110000i3i3−i3−i3−i3−i3i3i3-22-1-111-1-100i3−i3−i3i3000000000000
χ3722-2-222-22-2-200200-22-22-20022-2-222-2-22i−2i2i−2i000000002-200000022-2-200002i−2i2i2i−2i−2i000000000000002i−2i0000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000
χ3822-2-222-22-2-200200-22-22-20022-2-222-2-22i−2i2i−2i000000002-200000022-2-200002i−2i2i2i−2i−2i000000000000002i−2i000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000
χ3922-2-222-22-2-200200-22-22-20022-2-222-2-2−2i2i−2i2i000000002-200000022-2-20000−2i2i−2i−2i2i2i00000000000000−2i2i000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000
χ4022-2-222-22-2-200200-22-22-20022-2-222-2-2−2i2i−2i2i000000002-200000022-2-20000−2i2i−2i−2i2i2i00000000000000−2i2i0000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000
χ4122-2-22-222-2-200200-22-2-220022-2-222-2-22i−2i2i−2i00000000-22000000-2-2220000−2i2i2i2i−2i−2i00000000000000−2i2i0000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000
χ4222-2-22-222-2-200200-22-2-220022-2-222-2-22i−2i2i−2i00000000-22000000-2-2220000−2i2i2i2i−2i−2i00000000000000−2i2i00000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119000000
χ4322-2-22-222-2-200200-22-2-220022-2-222-2-2−2i2i−2i2i00000000-22000000-2-22200002i−2i−2i−2i2i2i000000000000002i−2i00000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109000000
χ4422-2-22-222-2-200200-22-2-220022-2-222-2-2−2i2i−2i2i00000000-22000000-2-22200002i−2i−2i−2i2i2i000000000000002i−2i0000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000
χ45444444444444-144-1-1-14444-1-1-1-1-1-1-1-100004444-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ46444444444444-144-1-1-14444-1-1-1-1-1-1-1-10000-4-4-4-4-1-1-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000011111111111100000000000000000000000000
χ474444444444-4-4-1-4-4-1-1-144-4-4-1-1-1-1-1-1-1-100004-44411-4-4-1-1111111-1-1-1-11111000000-1-111-1-1-1-1111100000000000000000000000000
χ484444444444-4-4-1-4-4-1-1-144-4-4-1-1-1-1-1-1-1-10000-44-4-41144-1-1111111-1-1-1-1111100000011-1-11111-1-1-1-100000000000000000000000000
χ4944444-4-44444-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-100000000-1-1001111-1-1-1-111111111000000−55−55−55−55−55−5500000000000000000000000000
χ5044444-4-44444-4-144-1-1-1-4-4-4-4-1-1-1-1-1-1-1-100000000-1-1001111-1-1-1-1111111110000005−55−55−55−55−55−500000000000000000000000000
χ5144444-4-4444-44-1-4-4-1-1-1-4-444-1-1-1-1-1-1-1-100000000110011-1-111111111-1-1-1-1000000−555−5−55−555−55−500000000000000000000000000
χ5244444-4-4444-44-1-4-4-1-1-1-4-444-1-1-1-1-1-1-1-100000000110011-1-111111111-1-1-1-10000005−5−555−55−5−55−5500000000000000000000000000
χ534444-244-2-2-244-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000044-2-2-1-1-2-2-1-1-1-11−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152000000-1-1-1-11−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i15200000000000000000000000000
χ544444-244-2-2-244-1-2-2-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-4-422-1-122-1-1-1-11−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1520000001111−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i15200000000000000000000000000
χ554444-244-2-2-244-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000044-2-2-1-1-2-2-1-1-1-11+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152000000-1-1-1-11+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i15200000000000000000000000000
χ564444-244-2-2-244-1-2-2-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-4-422-1-122-1-1-1-11+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1520000001111−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i15200000000000000000000000000
χ574444-244-2-2-2-4-4-122-1-1-1-2-2221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i15200004-4-2-21122-1-111−1+i152−1+i152−1−i152−1−i1521−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152000000-1-1111−i1521+i1521+i1521−i152−1+i152−1−i152−1−i152−1+i15200000000000000000000000000
χ584444-244-2-2-2-4-4-122-1-1-1-2-2221−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i1520000-442211-2-2-1-111−1+i152−1+i152−1−i152−1−i1521−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i15200000011-1-1−1+i152−1−i152−1−i152−1+i1521−i1521+i1521+i1521−i15200000000000000000000000000
χ594444-244-2-2-2-4-4-122-1-1-1-2-2221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i15200004-4-2-21122-1-111−1−i152−1−i152−1+i152−1+i1521+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152000000-1-1111+i1521−i1521−i1521+i152−1−i152−1+i152−1+i152−1−i15200000000000000000000000000
χ604444-244-2-2-2-4-4-122-1-1-1-2-2221+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i1520000-442211-2-2-1-111−1−i152−1−i152−1+i152−1+i1521+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i15200000011-1-1−1−i152−1+i152−1+i152−1−i1521+i1521−i1521−i1521+i15200000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.