Finite Group Databasebeta

← Group #14297666

Character table — Group #14297666

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222224444444444444555588888888888888888888101010101010101010101010121212122020202020202020202020202020202020202020202020202020202020242424242424242460606060120120120120
order1222344446661212121245101010121212122020202022221520202020303030606060606060606060606060444466661212121222444888888881212121224242424242424242424242424242424101010102020202022444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1ii−i−i
χ611111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−iii
χ711111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−iii
χ811111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111ii−i−i
χ91111111-1-11111111-11111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-11-1-111111111111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1
χ101111111-1-11111111-11111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-11-11
χ111111111-1-11111111-11111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-11-1-1111111111-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-11-11
χ121111111-1-11111111-11111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1-1-11-1-1111111111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1111-11-1
χ131111111-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-111i−i−ii
χ141111111-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-111−iii−i
χ151111111-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1111111-1-1−iii−i
χ161111111-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1111111-1-1i−i−ii
χ1722222-2-222222-2-2-2-2-2222222-2-2222222222-2-2-2-2222-2-2-2-22222-2-2-2-2-222-22222-2-2-2-20000-20000000022-2-200000000000000000000000000000000
χ1822222-2-222222-2-2-2-2-2222222-2-22222-2-2-2-22-2-2-2-2222-2-2-2-22222-2-2-2-22-2-22-2-2-2-222220000200000000-2-22200000000000000000000000000000000
χ1922222-2-2-2-2222-2-2-2-222222-2-222-2-2-2-222222-2-222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000200000000-2-22200000000000000000000000000000000
χ2022222-2-2-2-2222-2-2-2-222222-2-222-2-2-2-2-2-2-2-22-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-222220000-20000000022-2-200000000000000000000000000000000
χ212222-12222-1-1-1-1-1-1-122222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222-12222-1-1-1-1-1-1-122222-1-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ232222-12222-1-1-1-1-1-1-122222-1-1-1-12222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-22i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ242222-12222-1-1-1-1-1-1-122222-1-1-1-12222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ252222-122-2-2-1-1-1-1-1-1-1-222221111-2-2-2-22222-122-2-2-1-1-1-1-1-1-1111111112-2-22-1-1-1-1-1-1-1-10000-222-2-222-2-21111-1-1-1-11111-1-1-1-111110000000000000000
χ262222-122-2-2-1-1-1-1-1-1-1-222221111-2-2-2-22222-122-2-2-1-1-1-1-1-1-1111111112-2-22-1-1-1-1-1-1-1-10000-2-2-222-2-22211111111-1-1-1-11111-1-1-1-10000000000000000
χ272222-122-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-222-211111111000022i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ282222-122-2-2-1-1-1-1-1-1-1-222221111-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-222-21111111100002−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ292222-1-2-222-1-1-11111-22222-1-11122222222-1-2-2-2-2-1-1-11111-1-1-1-11111-222-2-1-1-1-111110000-200000000-1-11133−3−333−3−333−3−333−3−30000000000000000
χ302222-1-2-222-1-1-11111-22222-1-11122222222-1-2-2-2-2-1-1-11111-1-1-1-11111-222-2-1-1-1-111110000-200000000-1-111−3−333−3−333−3−333−3−3330000000000000000
χ312222-1-2-222-1-1-11111-22222-1-1112222-2-2-2-2-1-2-2-2-2-1-1-11111-1-1-1-111112-2-221111-1-1-1-1000020000000011-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ322222-1-2-222-1-1-11111-22222-1-1112222-2-2-2-2-1-2-2-2-2-1-1-11111-1-1-1-111112-2-221111-1-1-1-1000020000000011-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ332222-1-2-2-2-2-1-1-111112222211-1-1-2-2-2-22222-1-2-222-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-11111000020000000011-1-133−3−3−3−33333−3−3−3−3330000000000000000
χ342222-1-2-2-2-2-1-1-111112222211-1-1-2-2-2-22222-1-2-222-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-11111000020000000011-1-1−3−33333−3−3−3−33333−3−30000000000000000
χ352222-1-2-2-2-2-1-1-111112222211-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122221111-1-1-1-10000-200000000-1-111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ362222-1-2-2-2-2-1-1-111112222211-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122221111-1-1-1-10000-200000000-1-111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ3722-2-222-2002-2-222-2-2022-2-20000000022-2-222-2002-2-222-2-200000000200-222-2-222-2-22-2000000000000000000000000000000022-2-200002-2000000
χ3822-2-222-2002-2-222-2-2022-2-20000000022-2-222-2002-2-222-2-200000000200-222-2-222-2-2-220000000000000000000000000000000-2-2220000-22000000
χ3922-2-222-2002-2-222-2-2022-2-200000000-2-22222-2002-2-222-2-200000000-2002-2-222-2-2222-2000000000000000000000000000000022-2-20000-22000000
χ4022-2-222-2002-2-222-2-2022-2-200000000-2-22222-2002-2-222-2-200000000-2002-2-222-2-222-220000000000000000000000000000000-2-22200002-2000000
χ4122-2-22-22002-2-2-2-222022-2-20000000022-2-22-22002-2-2-2-22200000000-200222-2-2-2-222002i−2i0000000000000000000000000000000002i2i−2i−2i002i−2i0000
χ4222-2-22-22002-2-2-2-222022-2-20000000022-2-22-22002-2-2-2-22200000000-200222-2-2-2-22200−2i2i000000000000000000000000000000000−2i−2i2i2i00−2i2i0000
χ4322-2-22-22002-2-2-2-222022-2-200000000-2-2222-22002-2-2-2-22200000000200-2-2-22222-2-2002i−2i0000000000000000000000000000000002i2i−2i−2i00−2i2i0000
χ4422-2-22-22002-2-2-2-222022-2-200000000-2-2222-22002-2-2-2-22200000000200-2-2-22222-2-200−2i2i000000000000000000000000000000000−2i−2i2i2i002i−2i0000
χ452-2-222002-2-22-2000002-2-222-20022-2-22-22-220000-22-2000022-2-2000002-202-22-2000000000−i2i2−i2i2−i2i2−i2i22-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ462-2-222002-2-22-2000002-2-222-20022-2-22-22-220000-22-2000022-2-2000002-202-22-2000000000i2−i2i2−i2i2−i2i2−i22-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ472-2-222002-2-22-2000002-2-222-20022-2-2-22-2220000-22-2000022-2-200000-220-22-220000000002−22−2−22−22-22002−22−22−22−2−22−22−22−220000000000000000
χ482-2-222002-2-22-2000002-2-222-20022-2-2-22-2220000-22-2000022-2-200000-220-22-22000000000−22−222−22−2-2200−22−22−22−222−22−22−22−20000000000000000
χ492-2-22200-22-22-2000002-2-22-2200-2-2222-22-220000-22-20000-2-22200000-2202-22-2000000000−i2i2i2−i2−i2i2i2−i2-2200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ502-2-22200-22-22-2000002-2-22-2200-2-2222-22-220000-22-20000-2-22200000-2202-22-2000000000i2−i2−i2i2i2−i2−i2i2-2200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ512-2-22200-22-22-2000002-2-22-2200-2-222-22-2220000-22-20000-2-222000002-20-22-220000000002−2−22−222−22-2002−22−2−22−22−22−222−22−20000000000000000
χ522-2-22200-22-22-2000002-2-22-2200-2-222-22-2220000-22-20000-2-222000002-20-22-22000000000−222−22−2−222-200−22−222−22−22−22−2−22−220000000000000000
χ532-2-22-1002-21-113−33−302-2-22-113−322-2-22-22-2-100001-113−33−3-1-11133−3−302-20-11-113−33−300000−i2i2−i2i2−i2i2−i2i2-113−3ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ1190000000000000000
χ542-2-22-1002-21-113−33−302-2-22-113−322-2-22-22-2-100001-113−33−3-1-11133−3−302-20-11-113−33−300000i2−i2i2−i2i2−i2i2−i2-113−3−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ1190000000000000000
χ552-2-22-1002-21-113−33−302-2-22-113−322-2-2-22-22-100001-113−33−3-1-11133−3−30-2201-11-1−33−33000002−22−2−22−221-1−33ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ103−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ1030000000000000000
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χ9988-8-8-48-800-444-4-4440-2-2220000−2i52i5−2i52i500001-22−2i52i51-1-111-1-1i5−i5i5−i5i5−i5i5−i50000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-800-444-4-4440-2-22200002i5−2i52i5−2i500001-222i5−2i51-1-111-1-1−i5i5−i5i5−i5i5−i5i50000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-8800-44444-4-40-2-2220000−2i52i5−2i52i5000012-22i5−2i51-1-1-1-111i5−i5i5−i5−i5i5−i5i50000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-8800-44444-4-40-2-22200002i5−2i52i5−2i5000012-2−2i52i51-1-1-1-111−i5i5−i5i5i5−i5i5−i50000000000000000000000000000000000000000000000000000000000000
χ1038-88-880000-8-8800000-22-220000−2i52i52i5−2i50000-2000022-20000−2i52i52i5−2i500000000000000000000000000000000000000000000000000000000000000000
χ1048-88-880000-8-8800000-22-2200002i5−2i5−2i52i50000-2000022-200002i5−2i5−2i52i500000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4000044-443−43−43430-22-220000−2i52i52i5−2i5000010000-1-11−333−3i5−i5−i5i5−i15i15i15−i150000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4000044-443−43−43430-22-2200002i5−2i5−2i52i5000010000-1-11−333−3−i5i5i5−i5i15−i15−i15i150000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4000044-4−434343−430-22-220000−2i52i52i5−2i5000010000-1-113−3−33i5−i5−i5i5i15−i15−i15i150000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4000044-4−434343−430-22-2200002i5−2i5−2i52i5000010000-1-113−3−33−i5i5i5−i5−i15i15i15−i150000000000000000000000000000000000000000000000000000000000000
χ1098-8-888008-8-88-800000-222-28-800-2-2220000-200002-220000-2-22200000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88800-88-88-800000-222-2-880022-2-20000-200002-22000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4008-84-4443−4343−430-222-2-4443−43-2-222000010000-11-1−33−3311-1-1−3−3330000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4008-84-44−4343−43430-222-2-44−4343-2-222000010000-11-13−33−311-1-133−3−30000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-400-884-4443−4343−430-222-24-4−434322-2-2000010000-11-1−33−33-1-11133−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-400-884-44−4343−43430-222-24-443−4322-2-2000010000-11-13−33−3-1-111−3−3330000000000000000000000000000000000000000000000000000000000000

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