Finite Group Databasebeta

← Group #14419331

Character table — Group #14419331

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444445555888888888888888888888810101010101010101010121212121515151515151515202020202020202020202020202030303030303030303030303040404040404040404848484860606060
order122222344446665661010101212121244441010152020202030303030303030606060606060606044444412121212444488888888888888881212121212128888888888882424242424242424202020202244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−iiiii1111-1-1-1-1
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1−i−i−i−i−i−iiiiiiiiiii−i−i−i−i-1-1-1-11111
χ91111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111111-11-11111111111-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-11-11-11-11-1
χ101111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1111-11-11-11-1
χ111111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1111111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111-11-11-11-11
χ121111111-1-1-1-1111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-111-1-1-11-11-11-11
χ131111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1iiii−i−i−i−iii−i−i−i−iii-1-11111ii−i−i−i−i−i−iiiiiii−i−i−i−iii1-11-1-11-11
χ141111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1−i−i−i−iiiii−i−iiiii−i−i-1-11111−i−iiiiiii−i−i−i−i−i−iiiii−i−i1-11-1-11-11
χ151111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11iiii−i−i−i−i−i−iiiii−i−i-1-11111ii−i−i−i−i−i−iiiii−i−iiiii−i−i-11-111-11-1
χ161111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11−i−i−i−iiiiiii−i−i−i−iii-1-11111−i−iiiiiii−i−i−i−iii−i−i−i−iii-11-111-11-1
χ171111-1-1111-1-11111-1-111111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1111111-1-1111111111-11-11-11-1-1-111-1-1-1-111-1-1-1-111-1-11-11-11-11-1-1-111-1-111
χ181111-1-1111-1-11111-1-111111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-1-11111-1-111-11-11-11-11-1-111-1-111
χ191111-1-1111-1-11111-1-111111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-11111111111-11-11-11-11-1-111-1-1-1-111-1-1-1-111-1-1-11-11-11-1111-1-111-1-1
χ201111-1-1111-1-11111-1-111111-1-11111-1-1111-1-111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11-11-11-11-1-1-111-1-111-1-11111-1-1111-11-11-11-111-1-111-1-1
χ211111-1-1111-1-11111-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-111-1-1iiii−i−i−i−ii−ii−i−ii−ii11-1-111−i−iii−i−iii−i−iiii−ii−i−ii−ii-1-11111-1-1
χ221111-1-1111-1-11111-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-111-1-1−i−i−i−iiiii−ii−iii−ii−i11-1-111ii−i−iii−i−iii−i−i−ii−iii−ii−i-1-11111-1-1
χ231111-1-1111-1-11111-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-111iiii−i−i−i−i−ii−iii−ii−i11-1-111−i−iii−i−iii−i−iii−ii−iii−ii−i11-1-1-1-111
χ241111-1-1111-1-11111-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-111−i−i−i−iiiiii−ii−i−ii−ii11-1-111ii−i−iii−i−iii−i−ii−ii−i−ii−ii11-1-1-1-111
χ251111-1-11-1-1111111-1-1111-1-1111111-1-11-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111111-1-11111111111-1-111-1-11-1-1-1-111-1-1-1-111-1-1-1-1111-1-111-1-11-111-1-111-1
χ261111-1-11-1-1111111-1-1111-1-1111111-1-11-1-11111-1-1-1-11-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1111111-1-11111-1-1-111-1-111-1-111-1-111-1
χ271111-1-11-1-1111111-1-1111-1-1111111-1-11-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111111-111-111111111-111-1-111-1-1-1-1-111-1-1-1-111-1-1-1-111-111-1-111-11-1-111-1-11
χ281111-1-11-1-1111111-1-1111-1-1111111-1-11-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1111111-1-11111-1-11-1-111-1-111-1-111-1-11
χ291111-1-11-1-1111111-1-1111-1-111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-11iiii−i−i−i−ii−i−ii−iii−i1111-1-1−i−i−i−iiiiiii−i−ii−i−ii−iii−i-111-11-1-11
χ301111-1-11-1-1111111-1-1111-1-111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-11-1-11−i−i−i−iiiii−iii−ii−i−ii1111-1-1iiii−i−i−i−i−i−iii−iii−ii−i−ii-111-11-1-11
χ311111-1-11-1-1111111-1-1111-1-111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-111-1iiii−i−i−i−i−iii−ii−i−ii1111-1-1−i−i−i−iiiiiii−i−i−iii−ii−i−ii1-1-11-111-1
χ321111-1-11-1-1111111-1-1111-1-111-1-1-1-1-1-11-1-11111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-111-1−i−i−i−iiiiii−i−ii−iii−i1111-1-1iiii−i−i−i−i−i−iiii−i−ii−iii−i1-1-11-111-1
χ33222222-12222-1-1-12-1-1222-1-1-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-100000000000022222222-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-100000000
χ34222222-12222-1-1-12-1-1222-1-1-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1000000000000-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000001111111100000000
χ35222222-12222-1-1-12-1-1222-1-1-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211110000000000002i2i2i2i−2i−2i−2i−2i111111000000000000−i−i−i−iiiii00000000
χ36222222-12222-1-1-12-1-1222-1-1-1-1-2-2-2-222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111000000000000−2i−2i−2i−2i2i2i2i2i111111000000000000iiii−i−i−i−i00000000
χ37222222-1-2-2-2-2-1-1-12-1-12221111222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-100000000000022-2-222-2-2-1-11111000000000000-1-111-1-11100000000
χ38222222-1-2-2-2-2-1-1-12-1-12221111222222-1-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2-1-1-1-1000000000000-2-222-2-222-1-1111100000000000011-1-111-1-100000000
χ39222222-1-2-2-2-2-1-1-12-1-12221111-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2222211110000000000002i2i−2i−2i−2i−2i2i2i11-1-1-1-1000000000000−i−iiiii−i−i00000000
χ40222222-1-2-2-2-2-1-1-12-1-12221111-2-2-2-222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-222221111000000000000−2i−2i2i2i2i2i−2i−2i11-1-1-1-1000000000000ii−i−i−i−iii00000000
χ412222-2-2-122-2-2-1-1-1211222-1-1112222-2-2-122-2-2-1-11111-1-1-1-1-11111-2-222-2-2-1-1-1-10000000000002-22-22-22-211-1-111000000000000-11-11-11-1100000000
χ422222-2-2-122-2-2-1-1-1211222-1-1112222-2-2-122-2-2-1-11111-1-1-1-1-11111-2-222-2-2-1-1-1-1000000000000-22-22-22-2211-1-1110000000000001-11-11-11-100000000
χ432222-2-2-122-2-2-1-1-1211222-1-111-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-1111122-2-22211110000000000002i−2i2i−2i−2i2i−2i2i-1-111-1-1000000000000−ii−iii−ii−i00000000
χ442222-2-2-122-2-2-1-1-1211222-1-111-2-2-2-2-2-2-122-2-2-1-11111-1-1-1-1-1111122-2-2221111000000000000−2i2i−2i2i2i−2i2i−2i-1-111-1-1000000000000i−ii−i−ii−ii00000000
χ452222-2-2-1-2-222-1-1-121122211-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-2-2-222-1-1-1-10000000000002-2-222-2-221111-1-1000000000000-111-1-111-100000000
χ462222-2-2-1-2-222-1-1-121122211-1-12222-2-2-1-2-222-1-11111-11111-1-1-1-1-2-2-2-222-1-1-1-1000000000000-222-2-222-21111-1-10000000000001-1-111-1-1100000000
χ472222-2-2-1-2-222-1-1-121122211-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-12222-2-211110000000000002i−2i−2i2i−2i2i2i−2i-1-1-1-111000000000000−iii−ii−i−ii00000000
χ482222-2-2-1-2-222-1-1-121122211-1-1-2-2-2-2-2-2-1-2-222-1-11111-11111-1-1-1-12222-2-21111000000000000−2i2i2i−2i2i−2i−2i2i-1-1-1-111000000000000i−i−ii−iii−i00000000
χ4922-2-20022-2002-2-2200-2-222-2002i2i−2i−2i0022-200-2-20000222-2-20000002i−2i002i2i−2i−2i00002ζ7+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+2ζ10900000000002i−2i00002ζ7+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+2ζ109000000000000000000
χ5022-2-20022-2002-2-2200-2-222-2002i2i−2i−2i0022-200-2-20000222-2-20000002i−2i002i2i−2i−2i0000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+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+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000000002i−2i0000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000000000000000
χ5122-2-20022-2002-2-2200-2-222-200−2i−2i2i2i0022-200-2-20000222-2-2000000−2i2i00−2i−2i2i2i0000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+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+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1190000000000−2i2i0000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000000000000000
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χ94888888-4-8-8-8-8-4-4-4-2-4-4-2-2-244440000-2-2122221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ958888-8-8-488-8-8-4-4-4-244-2-2-2-4-4440000221-2-22211-1-1-1-111111-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ968888-8-8-4-8-888-4-4-4-244-2-2-244-4-4000022122-2-211-1-1-1-11-1-1-1-111110000000000000000000000000000000000000000000000000000000000000000
χ9788-8-80088-8008-8-8-20022-28-800000000-2-2200220000-2-2-22200000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8008-88008-8-8-20022-2-8800000000-22-200220000-222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-48-800-444-20022-2-44000000001-2200-1-1−i15i15−i15i15111-1-1−i15i15−i15i150000000000000000000000000000000000000000000000000000000000000000
χ10088-8-800-48-800-444-20022-2-44000000001-2200-1-1i15−i15i15−i15111-1-1i15−i15i15−i150000000000000000000000000000000000000000000000000000000000000000
χ10188-8-800-4-8800-444-20022-24-40000000012-200-1-1−i15i15−i15i151-1-111i15−i15i15−i150000000000000000000000000000000000000000000000000000000000000000
χ10288-8-800-4-8800-444-20022-24-40000000012-200-1-1i15−i15i15−i151-1-111−i15i15−i15i150000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8008008i−8i-88-8-2002-22008i−8i000000-200−2i2i-22000020000−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1048-88-800800−8i8i-88-8-2002-2200−8i8i000000-2002i−2i-220000200002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1058-88-800-4008i−8i4-44-2002-2200−4i4i000000100−2i2i1-1−i15i15i15−i15-1−1515−1515ii−i−i0000000000000000000000000000000000000000000000000000000000000000
χ1068-88-800-4008i−8i4-44-2002-2200−4i4i000000100−2i2i1-1i15−i15−i15i15-115−1515−15ii−i−i0000000000000000000000000000000000000000000000000000000000000000
χ1078-88-800-400−8i8i4-44-2002-22004i−4i0000001002i−2i1-1−i15i15i15−i15-115−1515−15−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1088-88-800-400−8i8i4-44-2002-22004i−4i0000001002i−2i1-1i15−i15−i15i15-1−1515−1515−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1098-8-888-880000-8-88-28-8-22200000000-22-200002-2-2-2222000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-8-4000044-4-2-44-22200000000-2210000-1111-1-1-1−151515−1515−15−15150000000000000000000000000000000000000000000000000000000000000000
χ1118-8-888-8-4000044-4-2-44-22200000000-2210000-1111-1-1-115−15−1515−151515−150000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-8880000-8-88-2-88-222000000002-2-200002-222-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-88-4000044-4-24-4-222000000002-210000-11-1-111-1−151515−15−151515−150000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-4000044-4-24-4-222000000002-210000-11-1-111-115−15−151515−15−15150000000000000000000000000000000000000000000000000000000000000000

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