Finite Group Databasebeta

← Group #14478376

Character table — Group #14478376

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112222244444888822444448888816161616224444488888161616162244444888881616161622444448888816161616224444488888161616162244444888881616161622444448888816161616151530303030306060606060120120120120
order1224488816161616244436612122424244848484861212125101020204040408080808010202020510102020404040808080801020202015303060601201201202402402402403060606015303060601201201202402402402403060606015303060601201201202402402402403060606015303060601201201202402402402403060606022244888161616162444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1
χ311111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-1
χ411111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ511-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-1
χ611-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-11
χ711-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-11
χ811-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-1
χ922222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-200000000
χ10222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000
χ11222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000
χ1222-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−220000
χ1322-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−20000
χ1422-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-2200000000
χ154-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−22000000000
χ164-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−2222000000000
χ1711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1911111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ2011111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ2111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-111-1-1111-111-1-11-11-1-1-111-1-1-11-1-111-11-11
χ2211-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-1111-1-1111-111-1-1-11-11-1-111-1-1-11-1-1111-11-1
χ2311-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-1111-1-1111-1-1-1111-1-11-1-111-1-1-1111-1-1-111-1
χ2411-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-111-1-1111-1-1-111-111-1-1-111-1-1-1111-1-11-1-11
χ2522222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-20000000022222-2-2-200000000-2-2-2-2-222200000000
χ26222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000222-2-20002−22−20000-2-2-222000−22−220000
χ27222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000222-2-2000−22−220000-2-2-2220002−22−20000
χ2822-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−22000022-22-20002−2−220000-2-22-22000−222−20000
χ2922-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−2000022-22-2000−222−20000-2-22-220002−2−220000
χ3022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-220000000022-2-22-2-2200000000-2-222-222-200000000
χ314-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−220000000004-400022−22000000000-44000−2222000000000
χ324-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−22220000000004-4000−2222000000000-4400022−22000000000
χ3322222222222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000
χ34222222222222-2-2-2-2222222222222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+520000000000000000
χ3522222222-2-2-2-222-2-222222222-2-2-2-222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+520000000000000000
χ3622222222-2-2-2-2-2-22222222222-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−520000000000000000
χ3722-2-2222-222-2-22-22-222-2-2222-222-2-22-22-2−1+52−1+521−521−52−1+52−1+52−1+521−52−1+52−1+521−521−52−1+521−52−1+521−52−1−52−1−521+521+52−1−52−1−52−1−521+52−1−52−1−521+521+52−1−521+52−1−521+52−1+52−1+521−521−52−1+52−1+52−1+521−52−1+52−1+521−521−52−1+521−52−1+521−52−1+52−1+521−521−52−1+52−1+52−1+521−52−1+52−1+521−521−52−1+521−52−1+521−52−1−52−1−521+521+52−1−52−1−52−1−521+52−1−52−1−521+521+52−1−521+52−1−521+52−1−52−1−521+521+52−1−52−1−52−1−521+52−1−52−1−521+521+52−1−521+52−1−521+520000000000000000
χ3822-2-2222-222-2-2-22-2222-2-2222-222-2-2-22-22−1+52−1+521−521−52−1+52−1+52−1+521−52−1+52−1+521−521−521−52−1+521−52−1+52−1−52−1−521+521+52−1−52−1−52−1−521+52−1−52−1−521+521+521+52−1−521+52−1−52−1+52−1+521−521−52−1+52−1+52−1+521−52−1+52−1+521−521−521−52−1+521−52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−52−1+52−1+521−521−521−52−1+521−52−1+52−1−52−1−521+521+52−1−52−1−52−1−521+52−1−52−1−521+521+521+52−1−521+52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+52−1−52−1−521+521+521+52−1−521+52−1−520000000000000000
χ3922-2-2222-2-2-2222-2-2222-2-2222-2-2-2222-2-22−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+52−1+52−1+521−521−52−1+52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−52−1−52−1−521+521+52−1−52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+52−1+52−1+521−521−52−1+52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−52−1−52−1−521+521+52−1−520000000000000000
χ4022-2-2222-2-2-222-222-222-2-2222-2-2-222-222-2−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+52−1+521−52−1+52−1+521−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−52−1−521+52−1−52−1−521+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+52−1+521−52−1+52−1+521−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−52−1−521+52−1−52−1−521+520000000000000000
χ4144444-4-4-40000000044444-4-4-400000000−1+5−1+5−1+5−1+5−1+51−51−51−500000000−1−5−1−5−1−5−1−5−1−51+51+51+500000000−1+5−1+5−1+5−1+5−1+51−51−51−500000000−1+5−1+5−1+5−1+5−1+51−51−51−500000000−1−5−1−5−1−5−1−5−1−51+51+51+500000000−1−5−1−5−1−5−1−5−1−51+51+51+5000000000000000000000000
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χ14144-44-4000−222222−220000-2-22-220002−2−220000−1−5−1−51+5−1−51+5000ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ1030000−1+5−1+51−5−1+51−5000−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ1190000−2ζ52−2ζ68−2ζ52−2ζ682ζ52+2ζ68−2ζ52−2ζ682ζ52+2ζ68000−ζ7−ζ23+ζ37+ζ53ζ7+ζ23−ζ37−ζ53ζ7+ζ23−ζ37−ζ53−ζ7−ζ23+ζ37+ζ530000−2ζ28−2ζ92−2ζ28−2ζ922ζ28+2ζ92−2ζ28−2ζ922ζ28+2ζ92000ζ13−ζ47+ζ77−ζ103−ζ13+ζ47−ζ77+ζ103−ζ13+ζ47−ζ77+ζ103ζ13−ζ47+ζ77−ζ1030000−2ζ44−2ζ76−2ζ44−2ζ762ζ44+2ζ76−2ζ44−2ζ762ζ44+2ζ76000ζ29−ζ31+ζ61−ζ119−ζ29+ζ31−ζ61+ζ119−ζ29+ζ31−ζ61+ζ119ζ29−ζ31+ζ61−ζ1190000−2ζ4−2ζ116−2ζ4−2ζ1162ζ4+2ζ116−2ζ4−2ζ1162ζ4+2ζ116000−ζ71−ζ79+ζ101+ζ109ζ71+ζ79−ζ101−ζ109ζ71+ζ79−ζ101−ζ109−ζ71−ζ79+ζ101+ζ10900000000000000000000
χ14244-4-44-4-4400000000-2-222-222-200000000−1−5−1−51+51+5−1−51+51+5−1−500000000−1+5−1+51−51−5−1+51−51−5−1+500000000−2ζ52−2ζ68−2ζ52−2ζ682ζ52+2ζ682ζ52+2ζ68−2ζ52−2ζ682ζ52+2ζ682ζ52+2ζ68−2ζ52−2ζ6800000000−2ζ28−2ζ92−2ζ28−2ζ922ζ28+2ζ922ζ28+2ζ92−2ζ28−2ζ922ζ28+2ζ922ζ28+2ζ92−2ζ28−2ζ9200000000−2ζ44−2ζ76−2ζ44−2ζ762ζ44+2ζ762ζ44+2ζ76−2ζ44−2ζ762ζ44+2ζ762ζ44+2ζ76−2ζ44−2ζ7600000000−2ζ4−2ζ116−2ζ4−2ζ1162ζ4+2ζ1162ζ4+2ζ116−2ζ4−2ζ1162ζ4+2ζ1162ζ4+2ζ116−2ζ4−2ζ116000000000000000000000000
χ1438-800042−42000000000-44000−2222000000000−2−252+25000−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ1032ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103000000000−2+252−250002ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ119−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ119000000000−4ζ52−4ζ684ζ52+4ζ680002ζ7+2ζ23−2ζ37−2ζ53−2ζ7−2ζ23+2ζ37+2ζ53000000000−4ζ28−4ζ924ζ28+4ζ92000−2ζ13+2ζ47−2ζ77+2ζ1032ζ13−2ζ47+2ζ77−2ζ103000000000−4ζ44−4ζ764ζ44+4ζ76000−2ζ29+2ζ31−2ζ61+2ζ1192ζ29−2ζ31+2ζ61−2ζ119000000000−4ζ4−4ζ1164ζ4+4ζ1160002ζ71+2ζ79−2ζ101−2ζ109−2ζ71−2ζ79+2ζ101+2ζ1090000000000000000000000000
χ1448-8000−4242000000000-4400022−22000000000−2−252+250002ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ103000000000−2+252−25000−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1192ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ119000000000−4ζ52−4ζ684ζ52+4ζ68000−2ζ7−2ζ23+2ζ37+2ζ532ζ7+2ζ23−2ζ37−2ζ53000000000−4ζ28−4ζ924ζ28+4ζ920002ζ13−2ζ47+2ζ77−2ζ103−2ζ13+2ζ47−2ζ77+2ζ103000000000−4ζ44−4ζ764ζ44+4ζ760002ζ29−2ζ31+2ζ61−2ζ119−2ζ29+2ζ31−2ζ61+2ζ119000000000−4ζ4−4ζ1164ζ4+4ζ116000−2ζ71−2ζ79+2ζ101+2ζ1092ζ71+2ζ79−2ζ101−2ζ1090000000000000000000000000

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