Finite Group Databasebeta

← Group #14282797

Character table — Group #14282797

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222244444444444444888888888888888888881010101010101010101010101010101020202020202020202020202020202020202020202020202020202020242424242424242424246060606060606060120120
order122244443666121212124451010101212121220202020152020202030303060606060606060606060606022444444121212121212121266888888881212242424242424242424242424242424242410101010202020204444444444
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
χ91111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-111-1-11-1
χ101111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-111-1-111-11
χ111111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-111-1-1111-1
χ121111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-1111111-1-111-1-1-11
χ131111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii1-11111-1-1-1-1ii−i−i−i−iii-11
χ141111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1ii−i−i−i−iii11iiii−i−i−i−i−i−i−i−iiiii-11-1-1-1-11111−i−iiiii−i−i1-1
χ151111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i1-11111-1-1-1-1−i−iiiii−i−i-11
χ161111-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1−i−iiiii−i−i11−i−i−i−iiiiiiiii−i−i−i−i-11-1-1-1-11111ii−i−i−i−iii1-1
χ172222222222222222-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2220000000022000000000000000000000000000000000000
χ182222222222222222-2-22222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-2-2-2222222222222-2-200000000-2-2000000000000000000000000000000000000
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
χ2322222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-111112222-2-2-2-211111111-1-100000000-1-133−3−333−3−333−3−333−3−300000000000000000000
χ2422222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-111112222-2-2-2-211111111-1-100000000-1-1−3−333−3−333−3−333−3−33300000000000000000000
χ2522222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1110000000011−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2622222222-1-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-2-1-1-11111-1-1-1-11111-2-2-2-22222-1-1-1-1-1-1-1-1110000000011i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ272222-2-2-2-22222-2-2-2-2-222222-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-2222222-2-222-2-22222-2-2-2-22200000000-2-2000000000000000000000000000000000000
χ282222-2-2-2-22222-2-2-2-2-222222-2-222-2-2-2-22-2-222222-2-2-2-2-2-2-2-22222-2-222-2-222-2-2-2-22222-2-20000000022000000000000000000000000000000000000
χ292222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-11111111122-2-2-2-2221111-1-1-1-1-1-122-2-222-2-211-1-1-1-11111-1-1-1-1111100000000000000000000
χ302222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-11111111122-2-2-2-2221111-1-1-1-1-1-1-2-222-2-222111111-1-1-1-11111-1-1-1-100000000000000000000
χ312222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-22222-2-2-1-1-1-11111112i2i−2i−2i−2i−2i2i2i-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ322222-2-2-2-2-1-1-1-111112-22222-1-111-2-2-2-2-122-2-2-1-1-1-1-1-1-111111111-2-22222-2-2-1-1-1-1111111−2i−2i2i2i2i2i−2i−2i-1-1iiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ332222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122-2-222-2-2-1-1-1-11111-1-1000000001133−3−3−3−33333−3−3−3−33300000000000000000000
χ342222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122-2-222-2-2-1-1-1-11111-1-10000000011−3−33333−3−3−3−33333−3−300000000000000000000
χ352222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-222-2-2221111-1-1-1-11100000000-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ362222-2-2-2-2-1-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1-2-222-2-2221111-1-1-1-11100000000-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ3722-2-222-2-222-2-222-2-2002-2-22000022-2-2200002-2-2000022-2-2000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00
χ3822-2-222-2-222-2-222-2-2002-2-22000022-2-2200002-2-2000022-2-2000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00
χ3922-2-222-2-222-2-222-2-2002-2-22000022-2-2200002-2-2000022-2-200000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00
χ4022-2-222-2-222-2-222-2-2002-2-22000022-2-2200002-2-2000022-2-200000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00
χ4122-2-2-2-22222-2-2-2-222002-2-220000-2-222200002-2-20000-2-222000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00
χ4222-2-2-2-22222-2-2-2-222002-2-220000-2-222200002-2-20000-2-222000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00
χ4322-2-2-2-22222-2-2-2-222002-2-220000-2-222200002-2-20000-2-22200000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00
χ4422-2-2-2-22222-2-2-2-222002-2-220000-2-222200002-2-20000-2-22200000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00
χ452-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-200002i−2i2i−2i20000-22-200002i−2i2i−2i00002-22i−2i0000000000002-22−2−i2i22−2−i2i22i−2i2−22−2−i2i2−i2i22−22−2−i2i2−i2i200000000000000000000
χ462-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-200002i−2i2i−2i20000-22-200002i−2i2i−2i00002-22i−2i0000000000002-2−22i2−i2−22i2−i22i−2i−22−22i2−i2i2−i2−22−22i2−i2i2−i200000000000000000000
χ472-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-200002i−2i2i−2i20000-22-200002i−2i2i−2i0000-22−2i2i000000000000-22−i2i2−22i2−i22−2−2i2i−i2i2−i2i2−22−22i2−i2i2−i22−22−200000000000000000000
χ482-22-22i−2i2i−2i2-22-22i−2i2i−2i0022-2-200002i−2i2i−2i20000-22-200002i−2i2i−2i0000-22−2i2i000000000000-22i2−i22−2−i2i2−22−2i2ii2−i2i2−i22−22−2−i2i2−i2i2−22−2200000000000000000000
χ492-22-22i−2i2i−2i-11-11−ii−ii0022-2-23−3−i3i32i−2i2i−2i-100001-1133−3−3−ii−ii−i3−i3i3i32-22i−2i0000−i3i3−i3i33−33−3-112−2−i2i22−2−i2i2−ii−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+ζ119ζ13+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−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+ζ119ζ13+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
χ502-22-22i−2i2i−2i-11-11−ii−ii0022-2-23−3−i3i32i−2i2i−2i-100001-1133−3−3−ii−ii−i3−i3i3i32-22i−2i0000−i3i3−i3i33−33−3-11−22i2−i2−22i2−i2−iiζ7−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−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+ζ103ζ7−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−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
χ512-22-22i−2i2i−2i-11-11−ii−ii0022-2-23−3−i3i32i−2i2i−2i-100001-1133−3−3−ii−ii−i3−i3i3i3-22−2i2i0000i3−i3i3−i3−33−331-1−i2i2−22i2−i22−2i−iζ13+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−ζ103ζ7−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−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−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
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.