Finite Group Databasebeta

← Group #14281192

Character table — Group #14281192

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222444444444444444444444444444448888888888888888888888888888888888888888881010101010102020202020202020204040404040406060606060606060120120120120
order1222223446666666451010101010101012121212151530303030303030303030303030304412121212202020202020202020202020606060606060606060606060606060606060606060606060224444266661212121224661212888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ91111111-1-11111111-111111111-1-1-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11-1-111ii−i−iii−i−ii−ii−i
χ101111111-1-11111111-111111111-1-1-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11-1-111−i−iii−i−iii−ii−ii
χ111111111-1-11111111-111111111-1-1-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-111-1-111-1-1-1-1111-1-11
χ121111111-1-11111111-111111111-1-1-1-111111111111111111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-111-1-1-1-11111-1-1-111-1
χ131111111-1-11111111-111111111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-11-111-1-1ii−i−iii−i−i−ii−ii
χ141111111-1-11111111-111111111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-11-111-1-1−i−iii−i−iiii−ii−i
χ151111111-1-11111111-111111111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-11111-11-1-11111-1-1-1-111-111-1
χ161111111-1-11111111-111111111-1-1-1-11111111111111111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-11111-11-1-111-1-11111-1-11-1-11
χ17222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ18222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111111-2-21111000000000000
χ19222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222222-1-1-1-1-1-1-1-1-2-21111000000000000
χ20222222-122-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-21111111122-1-1-1-1000000000000
χ21222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-1112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2-2-22-1-1-1-11111-2211-1-1000000000000
χ22222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-1112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-22222-21111-1-1-1-12-2-1-111000000000000
χ23222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-22-1-1-1-111112-2-1-111000000000000
χ24222222-1-2-2-1-1-1-1-1-1-1-2222222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-22222-21111-1-1-1-1-2211-1-1000000000000
χ252222-2-2222-2-2-2-2222-222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22222000000000022-2-20000000000002222-2-2-2-2000000002222-2-2-222-2-222-2-2000000000000000000
χ262222-2-2222-2-2-2-2222-222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22222000000000022-2-20000000000002222-2-2-2-200000000-2-2-2-2222-2-222-2-222000000000000000000
χ272222-2-22-2-2-2-2-2-2222222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-222220000000000-2-222000000000000-2-2-2-222220000000022-2-222-222-2-2-2-222000000000000000000
χ282222-2-22-2-2-2-2-2-2222222-2-2-2-222-2-2222222-2-2-2-2-2-2-2-222220000000000-2-222000000000000-2-2-2-2222200000000-2-222-2-22-2-22222-2-2000000000000000000
χ292222-2-2-1221111-1-1-1-222-2-2-2-222-1-111-1-1-1-111111111-1-1-1-100−i3i3−i3i3000022-2-20000−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i3−i3−i3−i3i3i3i3i32222-2-2-2-1-111-1-11100−i3i3−i3i3000000000000
χ302222-2-2-1221111-1-1-1-222-2-2-2-222-1-111-1-1-1-111111111-1-1-1-100−i3i3−i3i3000022-2-20000−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i3−i3−i3−i3i3i3i3i3-2-2-2-222211-1-111-1-100i3−i3i3−i3000000000000
χ312222-2-2-1221111-1-1-1-222-2-2-2-222-1-111-1-1-1-111111111-1-1-1-100i3−i3i3−i3000022-2-20000i3i3i3i3−i3−i3−i3−i3-1-1-1-11111i3i3i3i3−i3−i3−i3−i32222-2-2-2-1-111-1-11100i3−i3i3−i3000000000000
χ322222-2-2-1221111-1-1-1-222-2-2-2-222-1-111-1-1-1-111111111-1-1-1-100i3−i3i3−i3000022-2-20000i3i3i3i3−i3−i3−i3−i3-1-1-1-11111i3i3i3i3−i3−i3−i3−i3-2-2-2-222211-1-111-1-100−i3i3−i3i3000000000000
χ332222-2-2-1-2-21111-1-1-1222-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100−i3i3i3−i30000-2-2220000−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3i3−i3−i3−i3−i322-2-222-2-1-11111-1-100i3−i3−i3i3000000000000
χ342222-2-2-1-2-21111-1-1-1222-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100−i3i3i3−i30000-2-2220000−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3i3−i3−i3−i3−i3-2-222-2-2211-1-1-1-11100−i3i3i3−i3000000000000
χ352222-2-2-1-2-21111-1-1-1222-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100i3−i3−i3i30000-2-2220000i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3−i3i3i3i3i322-2-222-2-1-11111-1-100−i3i3i3−i3000000000000
χ362222-2-2-1-2-21111-1-1-1222-2-2-2-22211-1-1-1-1-1-111111111-1-1-1-100i3−i3−i3i30000-2-2220000i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3−i3i3i3i3i3-2-222-2-2211-1-1-1-11100i3−i3−i3i3000000000000
χ372-22-22-220022-2-2-22-202222-2-2-2-2000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i000002i−2i2i−2i00000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000
χ382-22-22-220022-2-2-22-202222-2-2-2-2000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i000002i−2i2i−2i000000002ζ13+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+2ζ119000000
χ392-22-22-220022-2-2-22-202222-2-2-2-2000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i00000−2i2i−2i2i000000002ζ7+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+2ζ109000000
χ402-22-22-220022-2-2-22-202222-2-2-2-2000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i00000−2i2i−2i2i00000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000
χ412-22-2-22200-2-222-22-2022-2-222-2-200002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000002i−2i−2i2i000002i−2i−2i2i0000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000
χ422-22-2-22200-2-222-22-2022-2-222-2-200002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000002i−2i−2i2i000002i−2i−2i2i000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000
χ432-22-2-22200-2-222-22-2022-2-222-2-200002222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000−2i2i2i−2i00000−2i2i2i−2i000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000
χ442-22-2-22200-2-222-22-2022-2-222-2-200002222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000−2i2i2i−2i00000−2i2i2i−2i0000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000
χ4544444444444444444-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ4644444444444444444-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-4-41111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000
χ474444444-4-44444444-4-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-444-4-4-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000
χ484444444-4-44444444-4-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-44-4-44411111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ49444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000000000000000000000000000000
χ50444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1521−i1521+i152-4-422221111-1-1-1-11111−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000000000000000000000000000000000
χ51444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000000000000000000000000000000
χ52444444-244-2-2-2-2-2-2-24-1-1-1-1-1-1-1-1-2-2-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1521+i1521−i152-4-422221111-1-1-1-11111−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000000000000000000000000000000000
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χ1198-8-8800-4004i3−4i3−4i34i344-40-22−252525−252-200001−i151+i15−1+i15−1−i15−2ζ28+2ζ44−2ζ52+2ζ1162ζ28−2ζ44+2ζ52−2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ4+2ζ68−2ζ76+2ζ922ζ28−2ζ44+2ζ52−2ζ116−2ζ28+2ζ44−2ζ52+2ζ116−2ζ4+2ζ68−2ζ76+2ζ922ζ4−2ζ68+2ζ76−2ζ92−1+i15−1−i151−i151+i15000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8800-4004i3−4i3−4i34i344-40-2225−25−25252-200001+i151−i15−1−i15−1+i15−2ζ4+2ζ68−2ζ76+2ζ922ζ4−2ζ68+2ζ76−2ζ922ζ28−2ζ44+2ζ52−2ζ116−2ζ28+2ζ44−2ζ52+2ζ1162ζ4−2ζ68+2ζ76−2ζ92−2ζ4+2ζ68−2ζ76+2ζ92−2ζ28+2ζ44−2ζ52+2ζ1162ζ28−2ζ44+2ζ52−2ζ116−1−i15−1+i151+i151−i15000000000000000000000000000000000000000000000000000000000000000000000000000

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