Finite Group Databasebeta

← Group #14284693

Character table — Group #14284693

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444888888888888888888881010101010101010101010101010101020202020202020202020202020202020202020202020202020202020242424242424242424246060606060606060120120
order122244443666121212124451010101212121220202020152020202030303060606060606060606060606022444444121212121212121266888888881212242424242424242424242424242424244420202020202020208888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i1111111111iiii−i−i−i−i-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii1111111111−i−i−i−iiiii-1-1
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11
χ91111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-111ii−i−iii−i−i-1-1iiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-1ii−i−iii−i−i1-1
χ101111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-111ii−i−iii−i−i-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-1-1-11111−i−iii−i−iii-11
χ111111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-111−i−iii−i−iii-1-1−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-1−i−iii−i−iii1-1
χ121111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-111−i−iii−i−iii-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1-11111ii−i−iii−i−i-11
χ131111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-111-1-1-1-111-11
χ141111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-11111-1-11-1
χ151111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-11111-1-1-11
χ161111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-1111111-1-1-1-1111-1
χ172222222222222222-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-2222-2-2-2-22-2-2-2-2-2-2-2-2220000000022000000000000000000000000000000000000
χ182222222222222222-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-2-22222-222222222-2-200000000-2-2000000000000000000000000000000000000
χ1922222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2022222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111111111111100000000000000000000
χ2122222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111112i2i2i2i−2i−2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000
χ2222222222-1-1-1-1-1-1-1-1222222-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111−2i−2i−2i−2i2i2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000
χ2322222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-11111222-2-2-2-2211111111-1-100000000-1-133−3−333−3−333−3−333−3−300000000000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-11111222-2-2-2-2211111111-1-100000000-1-1−3−333−3−333−3−333−3−33300000000000000000000
χ2522222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-2-22222-2-1-1-1-1-1-1-1-1110000000011−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2622222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-2-22222-2-1-1-1-1-1-1-1-1110000000011i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ272222-2-2-2-22222-2-2-2-2-222222-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-2222222-2-2-222-2-2-2-2-222222200000000-2-2000000000000000000000000000000000000
χ282222-2-2-2-22222-2-2-2-2-222222-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-22222-2-2222-2-222222-2-2-2-2-2-20000000022000000000000000000000000000000000000
χ292222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-11111111122-222-2-2-2-1-1-1-11111-1-12i2i−2i−2i2i2i−2i−2i11−i−i−i−iiiii−i−i−i−iiiii00000000000000000000
χ302222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-11111111122-222-2-2-2-1-1-1-11111-1-1−2i−2i2i2i−2i−2i2i2i11iiii−i−i−i−iiiii−i−i−i−i00000000000000000000
χ312222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-22-2-22221111-1-1-1-11122-2-2-2-222-1-1-1-1-1-111111111-1-1-1-100000000000000000000
χ322222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-22-2-22221111-1-1-1-111-2-22222-2-2-1-11111-1-1-1-1-1-1-1-1111100000000000000000000
χ332222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122-2-2-222-21111-1-1-1-1-1-10000000011−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ342222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122-2-2-222-21111-1-1-1-1-1-10000000011i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ352222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-2222-2-22-1-1-1-111111100000000-1-133−3−3−3−333−3−33333−3−300000000000000000000
χ362222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-2222-2-22-1-1-1-111111100000000-1-1−3−33333−3−333−3−3−3−33300000000000000000000
χ3722-2-222-2-222-2-222-2-20022-2-2000022-2-2200002-2-2000022-2-200002-220000-2000000002-22−22−22−22−22-22−22−22−22−22−22−22−22−200000000000000000000
χ3822-2-222-2-222-2-222-2-20022-2-2000022-2-2200002-2-2000022-2-200002-220000-2000000002-2−22−22−22−222-2−22−22−22−22−22−22−22−2200000000000000000000
χ3922-2-222-2-222-2-222-2-20022-2-2000022-2-2200002-2-2000022-2-20000-22-20000200000000-22−i2i2−i2i2i2−i2i2−i2-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000000000
χ4022-2-222-2-222-2-222-2-20022-2-2000022-2-2200002-2-2000022-2-20000-22-20000200000000-22i2−i2i2−i2−i2i2−i2i2-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000000000
χ4122-2-222-2-2-1-111-1-1110022-2-23−33−322-2-2-10000-11133−3−3-1-11133−3−32-220000-233−3−333−3−3-112−22−22−22−2-11−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+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+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+ζ103ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ11900000000000000000000
χ4222-2-222-2-2-1-111-1-1110022-2-23−33−322-2-2-10000-11133−3−3-1-11133−3−32-220000-233−3−333−3−3-11−22−22−22−22-11ζ7−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−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−ζ103−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ11900000000000000000000
χ4322-2-222-2-2-1-111-1-1110022-2-23−33−322-2-2-10000-11133−3−3-1-11133−3−3-22-200002−3−333−3−3331-1−i2i2−i2i2i2−i2i2−i21-1ζ13+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−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+ζ10300000000000000000000
χ4422-2-222-2-2-1-111-1-1110022-2-23−33−322-2-2-10000-11133−3−3-1-11133−3−3-22-200002−3−333−3−3331-1i2−i2i2−i2−i2i2−i2i21-1−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+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−ζ10300000000000000000000
χ4522-2-222-2-2-1-111-1-1110022-2-2−33−3322-2-2-10000-111−3−333-1-111−3−3332-220000-2−3−333−3−333-112−22−22−22−2-11ζ13−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+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+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+ζ10300000000000000000000
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χ1118-8-888i−8i−8i8i-444-4−4i4i4i−4i00-222-20000−2i2i2i−2i1−2525−2i52i5-1-115−55−5i−i−iii5−i5i5−i50000000000000000000000000000000000000000000000000000000000000000
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χ1148-8-88−8i8i8i−8i-444-44i−4i−4i4i00-222-200002i−2i−2i2i125−25−2i52i5-1-11−55−55−iii−ii5−i5i5−i50000000000000000000000000000000000000000000000000000000000000000

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