Finite Group Databasebeta

← Group #14415467

Character table — Group #14415467

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222244444444444444444444444555588888888888888888888881010101010101010161616161616161616161616202020202020202020202030303030303030303030303030303030404040406060606060606060
order122222344666224445661010101212121215153030303030304444661010121220202020303030306060606060606060224412121212101020203030303060606060244446666121288888888888888881212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiiiii−i−i−i−i−i−i-1-1-1-1i−iiii−i−i−i
χ411111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−iiiiiii-1-1-1-1−ii−i−i−iiii
χ5111111111111-1-1-1-111111111111111111111111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1
χ6111111111111-1-1-1-111111111111111111111111-1-111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-111-111
χ7111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii1111i−ii−i−i−iii
χ8111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i1111−ii−iiii−i−i
χ91111111-1-11111-11-1-1111111-1-1-1-11111111111111-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-11-111-1-111-1-1-11-11-1-1-1-1-11111111111-1-11111-1-11-11-1-1-1-11-1-11-1
χ101111111-1-11111-11-1-1111111-1-1-1-11111111111111-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-11-111-1-111-1-1-11-11-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-11-1111-111-11
χ111111111-1-11111-11-1-1111111-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-11-11-111111-1-1ii−i−iiiii−i−i−i−i−i−iii-11-11−ii−ii−ii−ii
χ121111111-1-11111-11-1-1111111-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-111-1-111-1-11-11-111111-1-1−i−iii−i−i−i−iiiiiii−i−i-11-11i−ii−ii−ii−i
χ131111111-1-1111-11-11-1111111-1-1-1-1111111111111-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-11-1-111-1-111-1-11-11-1-1-1-111111111-1-11111-1-111-11-11-1-1-1-11-1-11
χ141111111-1-1111-11-11-1111111-1-1-1-1111111111111-1111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-11-1-111-1-111-1-11-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-11-111111-111-1
χ151111111-1-1111-11-11-1111111-1-1-1-111111111-1-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-11111-11-11111-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1−ii−i−iiii−i
χ161111111-1-1111-11-11-1111111-1-1-1-111111111-1-1-1-1-1111-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1-111-1-11111-11-11111-1-1−i−iii−i−iii−i−iii−i−iii1-11-1i−iii−i−i−ii
χ171111-1-111111111-1-1-11-1-111111-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111
χ181111-1-111111111-1-1-11-1-111111-1-111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-11-1-11-1-1
χ191111-1-111111111-1-1-11-1-111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-11111ii−i−i−i−i−i−i−i−iiiiiii11-1-1i−i−iiii−i−i
χ201111-1-111111111-1-1-11-1-111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-1-1-1-11111−i−iiiiiiiii−i−i−i−i−i−i11-1-1−iii−i−i−iii
χ211111-1-1111111-1-111-11-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-111-1-111-1-1-1-11111-1-11111-1-1111111-1-111-1-1-1-1-1-1
χ221111-1-1111111-1-111-11-1-111111-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111
χ231111-1-1111111-1-111-11-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-111-1-11111ii−i−i−i−iiiiiii−i−i−i−i-1-111i−i−i−i−iiii
χ241111-1-1111111-1-111-11-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-111-1-11111−i−iiiii−i−i−i−i−i−iiiii-1-111−iiiii−i−i−i
χ251111-1-11-1-11111-1-1111-1-1111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1111-111-1-1-111-1-11111-1-1-1-111-1-1-1-111-111-1-1-111-111-1
χ261111-1-11-1-11111-1-1111-1-1111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-1-1-1111-111-1-1-111-1-1-1-1-1-11111-1-11111-1-1-111-111-1-11-1-11
χ271111-1-11-1-11111-1-1111-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-11-1-1111-1-111ii−i−i−i−i−i−iiiiiii−i−i1-1-11−iiii−i−i−ii
χ281111-1-11-1-11111-1-1111-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-11-1-1111-1-111−i−iiiiiii−i−i−i−i−i−iii1-1-11i−i−i−iiii−i
χ291111-1-11-1-1111-111-111-1-1111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111-1-11-1-111-1-11111-1-111-1-1-1-111-1-11-1-11-1-11-111-11
χ301111-1-11-1-1111-111-111-1-1111-1-111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-11111-1-111-1-11-1-111-1-1-1-1-1-111-1-11111-1-1111-1-1111-11-1-11-1
χ311111-1-11-1-1111-111-111-1-1111-1-11111111111-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-111-111-1-111ii−i−i−i−iii−i−iii−i−iii-111-1−iii−ii−ii−i
χ321111-1-11-1-1111-111-111-1-1111-1-11111111111-1-1-1-1-11-1-11-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-1-111-111-1-111−i−iiiii−i−iii−i−iii−i−i-111-1i−i−ii−ii−ii
χ33222222-122-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ34222222-122-1-1-1222222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-1-1-1-1-2-2-2-2-21111110000000000000000111100000000
χ35222222-122-1-1-1-2-2-2-222-1-1222-1-1-1-1-1-1-1-1-1-1-1-122221122112222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111112-2-2-2-2-1-1-1-1-1-10000000000000000111100000000
χ36222222-122-1-1-1-2-2-2-222-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21122112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211111111-222221111110000000000000000-1-1-1-100000000
χ37222222-1-2-2-1-1-12-22-2-22-1-12221111-1-1-1-1-1-1-1-12222-1122-11-2-2-2-2-1-1-1-111111111-2-222-1-1-1-12-22-2-1-111-1-111-22-22-21111-1-10000000000000000-11-1100000000
χ38222222-1-2-2-1-1-12-22-2-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-2-1122-11-2-2-2-2-1-1-1-11111111122-2-211112-22-2-1-111-1-1112-22-22-1-1-1-11100000000000000001-11-100000000
χ39222222-1-2-2-1-1-1-22-22-22-1-12221111-1-1-1-1-1-1-1-122221-1221-1-2-2-2-2-1-1-1-111111111-2-222-1-1-1-1-22-2211-1-111-1-1-2-22-221111-1-100000000000000001-11-100000000
χ40222222-1-2-2-1-1-1-22-22-22-1-12221111-1-1-1-1-1-1-1-1-2-2-2-21-1221-1-2-2-2-2-1-1-1-11111111122-2-21111-22-2211-1-111-1-122-22-2-1-1-1-1110000000000000000-11-1100000000
χ412222-2-2-122-1-1-122-2-2-2211222-1-111-1-1-1-1-1-1-1-12222-1-1-2-21122-2-21111-1-1-1-1111122-2-2-1-1-1-122-2-2-1-1-1-11111-2-2-222-1-11111000000000000000011-1-100000000
χ422222-2-2-122-1-1-122-2-2-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-21122-2-21111-1-1-1-11111-2-222111122-2-2-1-1-1-11111222-2-211-1-1-1-10000000000000000-1-11100000000
χ432222-2-2-122-1-1-1-2-222-2211222-1-111-1-1-1-1-1-1-1-1222211-2-2-1-122-2-21111-1-1-1-1111122-2-2-1-1-1-1-2-2221111-1-1-1-1-222-2-2-1-111110000000000000000-1-11100000000
χ442222-2-2-122-1-1-1-2-222-2211222-1-111-1-1-1-1-1-1-1-1-2-2-2-211-2-2-1-122-2-21111-1-1-1-11111-2-2221111-2-2221111-1-1-1-12-2-22211-1-1-1-1000000000000000011-1-100000000
χ452222-2-2-1-2-2-1-1-12-2-22221122211-1-1-1-1-1-1-1-1-1-12222-11-2-21-1-2-22211111111-1-1-1-1-2-2-2-2-1-1-1-12-2-22-1-11111-1-12-222-211-1-11100000000000000001-1-1100000000
χ462222-2-2-1-2-2-1-1-12-2-22221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-2-11-2-21-1-2-22211111111-1-1-1-1222211112-2-22-1-11111-1-1-22-2-22-1-111-1-10000000000000000-111-100000000
χ472222-2-2-1-2-2-1-1-1-222-2221122211-1-1-1-1-1-1-1-1-1-122221-1-2-2-11-2-22211111111-1-1-1-1-2-2-2-2-1-1-1-1-222-211-1-1-1-11122-2-2211-1-1110000000000000000-111-100000000
χ482222-2-2-1-2-2-1-1-1-222-2221122211-1-1-1-1-1-1-1-1-1-1-2-2-2-21-1-2-2-11-2-22211111111-1-1-1-122221111-222-211-1-1-1-111-2-222-2-1-111-1-100000000000000001-1-1100000000
χ4922-2-22-22002-2-20000022-2-22-2000022-2-222-2-22i−2i2i−2i002-200000022-2-200000000002i−2i2i2i−2i−2i0000000000000000000002i−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+2ζ1092ζ7+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+2ζ1090000000000000000
χ5022-2-22-22002-2-20000022-2-22-2000022-2-222-2-22i−2i2i−2i002-200000022-2-200000000002i−2i2i2i−2i−2i0000000000000000000002i−2i−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000000000
χ5122-2-22-22002-2-20000022-2-22-2000022-2-222-2-2−2i2i−2i2i002-200000022-2-20000000000−2i2i−2i−2i2i2i000000000000000000000−2i2i−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000000000
χ5222-2-22-22002-2-20000022-2-22-2000022-2-222-2-2−2i2i−2i2i002-200000022-2-20000000000−2i2i−2i−2i2i2i000000000000000000000−2i2i2ζ13+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+2ζ1192ζ13+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+2ζ1190000000000000000
χ5322-2-2-222002-2-2000002-22-22-2000022-2-222-2-22i−2i2i−2i00-22000000-2-2220000000000−2i2i2i2i−2i−2i000000000000000000000−2i2i2ζ7+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+2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1090000000000000000
χ5422-2-2-222002-2-2000002-22-22-2000022-2-222-2-22i−2i2i−2i00-22000000-2-2220000000000−2i2i2i2i−2i−2i000000000000000000000−2i2i−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ7+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+2ζ1090000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.