Finite Group Databasebeta

← Group #14414892

Character table — Group #14414892

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222244444455558888888888101010101010121220202020202020202020202020202424242430303030303030306060111122222244444455558888888888101010101010121220202020202020202020202020202424242430303030303030306060
order1222344666510101012124444152020303030606060604412121212248888121224242424242424241010202088888888242222644666101010101212444430202030303060606060441212121224888812122424242424242424101020208888888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111-1-1-1-11111111111-1-1-1-1-1-111ii−i−i-1-1iiii−i−i−i−i1111ii−i−iii−i−i-1-11111111111111111-1-1-1-11111111111-1-1-1-1-1-111ii−i−i-1-1iiii−i−i−i−i1111ii−i−iii−i−i-1-1
χ61111111111111111-1-1-1-11111111111-1-1-1-1-1-111−i−iii-1-1−i−i−i−iiiii1111−i−iii−i−iii-1-11111111111111111-1-1-1-11111111111-1-1-1-1-1-111−i−iii-1-1−i−i−i−iiiii1111−i−iii−i−iii-1-1
χ71111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii−i−iii111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1−i−iii−i−iii11
χ81111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−iii−i−i111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1ii−i−iii−i−i11
χ911111-1-11111111-1-111111-1-1111-1-1-1-1-1-111111-11-11-1-1-111-1-111-1-111-1-11111-1-1-1-1-1111111-1-11111111-1-111111-1-1111-1-1-1-1-1-111111-11-11-1-1-111-1-111-1-111-1-11111-1-1-1-1-11
χ1011111-1-11111111-1-111111-1-1111-1-1-1-1-1-111111-1-11-11-1-1-1-111-1-11111-1-1-1-1-1-11111-1111111-1-11111111-1-111111-1-1111-1-1-1-1-1-111111-1-11-11-1-1-1-111-1-11111-1-1-1-1-1-11111-11
χ1111111-1-11111111-1-111111-1-1111-1-1-1-1-1-11111-111-11-1-1-111-1-111-1-1-1-111-1-1-1-111111-111111-1-11111111-1-111111-1-1111-1-1-1-1-1-11111-111-11-1-1-111-1-111-1-1-1-111-1-1-1-111111-1
χ1211111-1-11111111-1-111111-1-1111-1-1-1-1-1-11111-11-11-11-1-1-1-111-1-111-1-1111111-1-1-1-11-111111-1-11111111-1-111111-1-1111-1-1-1-1-1-11111-11-11-11-1-1-1-111-1-111-1-1111111-1-1-1-11-1
χ1311111-1-11111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11-1i−i−ii11ii−i−i−i−iii11-1-1ii−i−i−i−iii1-111111-1-11111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11-1i−i−ii11ii−i−i−i−iii11-1-1ii−i−i−i−iii1-1
χ1411111-1-11111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11-1−iii−i11−i−iiiii−i−i11-1-1−i−iiiii−i−i1-111111-1-11111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11-1−iii−i11−i−iiiii−i−i11-1-1−i−iiiii−i−i1-1
χ1511111-1-11111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-11i−i−ii11ii−i−i−i−iii-1-111−i−iiiii−i−i-1111111-1-11111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-11i−i−ii11ii−i−i−i−iii-1-111−i−iiiii−i−i-11
χ1611111-1-11111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-11−iii−i11−i−iiiii−i−i-1-111ii−i−i−i−iii-1111111-1-11111111-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-11−iii−i11−i−iiiii−i−i-1-111ii−i−i−i−iii-11
χ172222-122-1-1-12222-1-12222-122-1-1-1-1-1-1-122-1-1-1-1002222-1-1-1-1-1-1-1-1-1-1000000000000002222-122-1-1-12222-1-12222-122-1-1-1-1-1-1-122-1-1-1-1002222-1-1-1-1-1-1-1-1-1-100000000000000
χ182222-122-1-1-12222-1-12222-122-1-1-1-1-1-1-122-1-1-1-100-2-2-2-2-1-111111111000000000000002222-122-1-1-12222-1-12222-122-1-1-1-1-1-1-122-1-1-1-100-2-2-2-2-1-11111111100000000000000
χ192222-122-1-1-12222-1-1-2-2-2-2-122-1-1-1-1-1-1-1-2-21111002i2i−2i−2i11−i−i−i−iiiii000000000000002222-122-1-1-12222-1-1-2-2-2-2-122-1-1-1-1-1-1-1-2-21111002i2i−2i−2i11−i−i−i−iiiii00000000000000
χ202222-122-1-1-12222-1-1-2-2-2-2-122-1-1-1-1-1-1-1-2-2111100−2i−2i2i2i11iiii−i−i−i−i000000000000002222-122-1-1-12222-1-1-2-2-2-2-122-1-1-1-1-1-1-1-2-2111100−2i−2i2i2i11iiii−i−i−i−i00000000000000
χ212222-1-2-2-1-1-12222112222-1-2-2-1-1-11111-2-2-1-1-1-1002-22-211-1-111-1-111000000000000002222-1-2-2-1-1-12222112222-1-2-2-1-1-11111-2-2-1-1-1-1002-22-211-1-111-1-11100000000000000
χ222222-1-2-2-1-1-12222112222-1-2-2-1-1-11111-2-2-1-1-1-100-22-221111-1-111-1-1000000000000002222-1-2-2-1-1-12222112222-1-2-2-1-1-11111-2-2-1-1-1-100-22-221111-1-111-1-100000000000000
χ232222-1-2-2-1-1-1222211-2-2-2-2-1-2-2-1-1-11111221111002i−2i−2i2i-1-1−i−iiiii−i−i000000000000002222-1-2-2-1-1-1222211-2-2-2-2-1-2-2-1-1-11111221111002i−2i−2i2i-1-1−i−iiiii−i−i00000000000000
χ242222-1-2-2-1-1-1222211-2-2-2-2-1-2-2-1-1-1111122111100−2i2i2i−2i-1-1ii−i−i−i−iii000000000000002222-1-2-2-1-1-1222211-2-2-2-2-1-2-2-1-1-1111122111100−2i2i2i−2i-1-1ii−i−i−i−iii00000000000000
χ2522-2-22002-2-22-22-2002i−2i2i−2i200-2-220000002i−2i2i−2i000000000000000000002ζ7+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+2ζ10900000022-2-22002-2-22-22-2002i−2i2i−2i200-2-220000002i−2i2i−2i000000000000000000002ζ7+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+2ζ109000000
χ2622-2-22002-2-22-22-2002i−2i2i−2i200-2-220000002i−2i2i−2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ10900000022-2-22002-2-22-22-2002i−2i2i−2i200-2-220000002i−2i2i−2i00000000000000000000−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1192ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109000000
χ2722-2-22002-2-22-22-200−2i2i−2i2i200-2-22000000−2i2i−2i2i00000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ11900000022-2-22002-2-22-22-200−2i2i−2i2i200-2-22000000−2i2i−2i2i00000000000000000000−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1092ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119000000
χ2822-2-22002-2-22-22-200−2i2i−2i2i200-2-22000000−2i2i−2i2i000000000000000000002ζ13+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+2ζ11900000022-2-22002-2-22-22-200−2i2i−2i2i200-2-22000000−2i2i−2i2i000000000000000000002ζ13+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+2ζ119000000
χ292-22-222i−2i-22-222-2-22i−2i2i−2i−2i2i22i−2i2-2-22i2i−2i−2i2-22i−2i−2i2i0000002-200000000000000000000002-22-222i−2i-22-222-2-22i−2i2i−2i−2i2i22i−2i2-2-22i2i−2i−2i2-22i−2i−2i2i0000002-20000000000000000000000
χ302-22-222i−2i-22-222-2-22i−2i−2i2i2i−2i22i−2i2-2-22i2i−2i−2i-22−2i2i2i−2i000000-2200000000000000000000002-22-222i−2i-22-222-2-22i−2i−2i2i2i−2i22i−2i2-2-22i2i−2i−2i-22−2i2i2i−2i000000-220000000000000000000000
χ312-22-22−2i2i-22-222-2-2−2i2i2i−2i−2i2i2−2i2i2-2-2−2i−2i2i2i-222i−2i−2i2i000000-2200000000000000000000002-22-22−2i2i-22-222-2-2−2i2i2i−2i−2i2i2−2i2i2-2-2−2i−2i2i2i-222i−2i−2i2i000000-220000000000000000000000
χ322-22-22−2i2i-22-222-2-2−2i2i−2i2i2i−2i2−2i2i2-2-2−2i−2i2i2i2-2−2i2i2i−2i0000002-200000000000000000000002-22-22−2i2i-22-222-2-2−2i2i−2i2i2i−2i2−2i2i2-2-2−2i−2i2i2i2-2−2i2i2i−2i0000002-20000000000000000000000
χ332-22-2-12i−2i1-1122-2-2−ii2i−2i−2i2i-12i−2i-111−i−iii2-2−iii−i000000-11ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000000000000002-22-2-12i−2i1-1122-2-2−ii2i−2i−2i2i-12i−2i-111−i−iii2-2−iii−i000000-11ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000000000
χ342-22-2-12i−2i1-1122-2-2−ii2i−2i−2i2i-12i−2i-111−i−iii2-2−iii−i000000-11−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000000000000002-22-2-12i−2i1-1122-2-2−ii2i−2i−2i2i-12i−2i-111−i−iii2-2−iii−i000000-11−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000000000
χ352-22-2-12i−2i1-1122-2-2−ii−2i2i2i−2i-12i−2i-111−i−iii-22i−i−ii0000001-1ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000000000000002-22-2-12i−2i1-1122-2-2−ii−2i2i2i−2i-12i−2i-111−i−iii-22i−i−ii0000001-1ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000000000
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χ1318-8-88-40044-4-222-2000000100-11-1−151515−15000000000000000000000000000000000000-888-8400-4-442-2-22000000-1001-1115−15−1515000000000000000000000000000000000000
χ1328-8-88-40044-4-222-2000000100-11-115−15−1515000000000000000000000000000000000000-888-8400-4-442-2-22000000-1001-11−151515−15000000000000000000000000000000000000

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