Finite Group Databasebeta

← Group #14414929

Character table — Group #14414929

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222244444444444444444444445555888888888888888888888810101010101010101010151515151515151516161616161616161616161620202020202020202020303030303030303030303030404040406060606060606060
order122222344446662444566101010121212121515303030303030444461010121212202020203030303060606060606060602222441212121288888888102020203030606060606060244466661212888888888888612121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-1-1-1ii−i−iii−i−i
χ4111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1-1-1−i−iii−i−iii
χ511111111111111-1-1-1-11111111111111111111111-111-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-11111111111111111111111-111-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111-1-1-1-1111111111111111111-1-1-1-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i1111−i−iii−i−iii
χ811111111111111-1-1-1-1111111111111111111-1-1-1-1-111-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii1111ii−i−iii−i−i
χ91111111-1-1-1-11111-1-11111111-1-1-1-1111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1111-1-1-1-1111-1-11-1-1-1-11111-1-1-1-111-1-1-1-11-1-11-1-1-1-11111
χ101111111-1-1-1-11111-1-11111111-1-1-1-1111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111-1-11-1-1-1-111-1-11111-1-111111-1-111111-1-1-1-1
χ111111111-1-1-1-11111-1-11111111-1-1-1-111111111-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i1-1-1111-1-1-1-111-111-11111-1-1ii−i−i−i−i−i−iiiii-111-1−i−iiiii−i−i
χ121111111-1-1-1-11111-1-11111111-1-1-1-111111111-1-1-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii1-1-1111-1-1-1-111-111-11111-1-1−i−iiiiiii−i−i−i−i-111-1ii−i−i−i−iii
χ131111111-1-1-1-1111-111-1111111-1-1-1-1111111111111-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1-11111-1-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-11111-1-1-1-1
χ141111111-1-1-1-1111-111-1111111-1-1-1-1111111111111-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-111-1-1-1-1-111-1-11111-1-11111-111-1-1-1-1-11111
χ151111111-1-1-1-1111-111-1111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i-111-1-1-11111-1-11-1-111111-1-1ii−i−i−i−i−i−iiiii1-1-11ii−i−i−i−iii
χ161111111-1-1-1-1111-111-1111111-1-1-1-111111111-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii-111-1-1-11111-1-11-1-111111-1-1−i−iiiiiii−i−i−i−i1-1-11−i−iiiii−i−i
χ171111-1-1111-1-111111-1-11-1-111111-1-11111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111111111-1-11111-1-1-1-1-11-1111-1-1-1-1-1-111-1-1-1-111-1-1-11-111-11-11-11-1
χ181111-1-1111-1-111111-1-11-1-111111-1-11111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1111-1-1-1-111-1-11111-1-111-11-11-11-11-11-11
χ191111-1-1111-1-111111-1-11-1-111111-1-111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-11-11-1-1-11111−i−iii−i−iii−i−iii1-11-1i−i−iii−i−ii
χ201111-1-1111-1-111111-1-11-1-111111-1-111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-11-11-1-1-11111ii−i−iii−i−iii−i−i1-11-1−iii−i−iii−i
χ211111-1-1111-1-1111-1-1111-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-111111-11-111-1-1-1-1-1-111-1-1-1-111-1-11-11-1-11-11-11-11
χ221111-1-1111-1-1111-1-1111-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-111-1-1-1-111-1-11111-1-1111-11-11-11-11-11-1
χ231111-1-1111-1-1111-1-1111-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-111-1-1-1-11111-11-11-1-11111−i−iii−i−iii−i−iii-11-11−iii−i−iii−i
χ241111-1-1111-1-1111-1-1111-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-111-1-1-1-11111-11-11-1-11111ii−i−iii−i−iii−i−i-11-11i−i−iii−i−ii
χ251111-1-11-1-1111111-11-11-1-1111-1-1111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111111111111-11-111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-111-11-111-11-1
χ261111-1-11-1-1111111-11-11-1-1111-1-1111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1111-11-1-11-11
χ271111-1-11-1-1111111-11-11-1-1111-1-11111111111-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1iiii−i−i−i−i1-11-111-1-111-1-111-1-111-1-111−i−i−i−iiiiiii−i−i11-1-1−iii−ii−i−ii
χ281111-1-11-1-1111111-11-11-1-1111-1-11111111111-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1−i−i−i−iiiii1-11-111-1-111-1-111-1-111-1-111iiii−i−i−i−i−i−iii11-1-1i−i−ii−iii−i
χ291111-1-11-1-111111-11-111-1-1111-1-111111111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111111111-11-11-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-11-1-11-11
χ301111-1-11-1-111111-11-111-1-1111-1-111111111111111-1-1-11-11-1-111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-11111-1-11111-1-111-1-1-11-111-11-1
χ311111-1-11-1-111111-11-111-1-1111-1-11111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1iiii−i−i−i−i-11-11-1-111-1-111-1-11111-1-111−i−i−i−iiiiiii−i−i-1-111i−i−ii−iii−i
χ321111-1-11-1-111111-11-111-1-1111-1-11111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1−i−i−i−iiiii-11-11-1-111-1-111-1-11111-1-111iiii−i−i−i−i−i−iii-1-111−iii−ii−i−ii
χ33222222-12222-1-1-122222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000002222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1000000000000-1-1-1-100000000
χ34222222-12222-1-1-122222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000002222-1-1-1-1-1-1-1-1-2-2-2-2111111000000000000111100000000
χ35222222-12222-1-1-1-2-2-2-22-1-1222-1-1-1-1-1-1-1-1-1-1-1-122221221112222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-100000000-2-2-2-211111111-2-2-2-2-1-1-1-1-1-1000000000000111100000000
χ36222222-12222-1-1-1-2-2-2-22-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21221112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000-2-2-2-2111111112222111111000000000000-1-1-1-100000000
χ37222222-1-2-2-2-2-1-1-12-2-222-1-12221111-1-1-1-1-1-1-1-12222-12211-1-2-2-2-2-1-1-1-111111111-2-2-2-222-1-1-1-1000000002-2-22-1-11111-1-12-2-221111-1-1000000000000-111-100000000
χ38222222-1-2-2-2-2-1-1-12-2-222-1-12221111-1-1-1-1-1-1-1-1-2-2-2-2-12211-1-2-2-2-2-1-1-1-1111111112222-2-21111000000002-2-22-1-11111-1-1-222-2-1-1-1-1110000000000001-1-1100000000
χ39222222-1-2-2-2-2-1-1-1-222-22-1-12221111-1-1-1-1-1-1-1-12222122-1-11-2-2-2-2-1-1-1-111111111-2-2-2-222-1-1-1-100000000-222-211-1-1-1-111-222-21111-1-10000000000001-1-1100000000
χ40222222-1-2-2-2-2-1-1-1-222-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-2122-1-11-2-2-2-2-1-1-1-1111111112222-2-2111100000000-222-211-1-1-1-1112-2-22-1-1-1-111000000000000-111-100000000
χ412222-2-2-122-2-2-1-1-122-2-2211222-1-111-1-1-1-1-1-1-1-12222-1-2-2-11122-2-21111-1-1-1-1111122-2-2-2-2-1-1-1-10000000022-2-2-1-1-1-11111-22-22-1-111110000000000001-11-100000000
χ422222-2-2-122-2-2-1-1-122-2-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-11122-2-21111-1-1-1-11111-2-2222211110000000022-2-2-1-1-1-111112-22-211-1-1-1-1000000000000-11-1100000000
χ432222-2-2-122-2-2-1-1-1-2-222211222-1-111-1-1-1-1-1-1-1-122221-2-21-1-122-2-21111-1-1-1-1111122-2-2-2-2-1-1-1-100000000-2-2221111-1-1-1-12-22-2-1-11111000000000000-11-1100000000
χ442222-2-2-122-2-2-1-1-1-2-222211222-1-111-1-1-1-1-1-1-1-1-2-2-2-21-2-21-1-122-2-21111-1-1-1-11111-2-22222111100000000-2-2221111-1-1-1-1-22-2211-1-1-1-10000000000001-11-100000000
χ452222-2-2-1-2-222-1-1-12-22-221122211-1-1-1-1-1-1-1-1-1-12222-1-2-21-11-2-22211111111-1-1-1-1-2-222-2-2-1-1-1-1000000002-22-2-1-111-1-111-2-22211-1-11100000000000011-1-100000000
χ462222-2-2-1-2-222-1-1-12-22-221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-2-21-11-2-22211111111-1-1-1-122-2-2221111000000002-22-2-1-111-1-11122-2-2-1-111-1-1000000000000-1-11100000000
χ472222-2-2-1-2-222-1-1-1-22-2221122211-1-1-1-1-1-1-1-1-1-122221-2-2-11-1-2-22211111111-1-1-1-1-2-222-2-2-1-1-1-100000000-22-2211-1-111-1-122-2-211-1-111000000000000-1-11100000000
χ482222-2-2-1-2-222-1-1-1-22-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-21-2-2-11-1-2-22211111111-1-1-1-122-2-222111100000000-22-2211-1-111-1-1-2-222-1-111-1-100000000000011-1-100000000
χ4922-2-2002002i−2i2-2-200002002-2-2002i−2i2222-2-2-2-22i−2i2i−2i000000002i−2i000000002i2i−2i−2i002-2002i2i−2i−2i2ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000000000000000002-2000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000000
χ5022-2-2002002i−2i2-2-200002002-2-2002i−2i2222-2-2-2-22i−2i2i−2i000000002i−2i000000002i2i−2i−2i002-2002i2i−2i−2i−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000000000002-20000002ζ13+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+2ζ119000000000000
χ5122-2-2002002i−2i2-2-200002002-2-2002i−2i2222-2-2-2-2−2i2i−2i2i000000002i−2i000000002i2i−2i−2i00-2200−2i−2i2i2i−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000000000000-22000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.