Finite Group Databasebeta

← Group #13089403

Character table — Group #13089403

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222444444444444444444444444444444444444181818181818181818183030303030303030303030301111222222222222222244444444444444444444444444444444444418181818181818181818303030303030303030303030
order124433556610101212121220202020361212151515151515151530303030303030306060606060606060606060606060606024101010102020202022446666121212122244661010661010121212122020202066121230303030303030303030303030303030606060606060606060606060606060602410101010202020202244666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ511-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1-1111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1-1111-1-1-1-111
χ611-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-11111-1-1
χ711-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-1
χ811-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1-1-11111
χ9222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ10222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52000000000000222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−52000000000000
χ11222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ12222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+52000000000000
χ1322222-1222-12222-1-12222-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000020200-1-100-1-122222-1222-12222-1-12222-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000020200-1-100-1-1
χ1422222-1222-12222-1-12222-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000-20-20011001122222-1222-12222-1-12222-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000-20-200110011
χ152222-1222-1222-1-1222222-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000002020-1-100-1-1002222-1222-1222-1-1222222-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000002020-1-100-1-100
χ162222-1222-1222-1-1222222-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000-20-20110011002222-1222-1222-1-1222222-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000-20-2011001100
χ1722-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000022-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000
χ1822-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000000022-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000000
χ1922-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000022-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000
χ2022-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000022-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000000
χ2122-2-22-1222-122-2-211-2-2-2-2-1-1112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000000000020-200-1-1001122-2-22-1222-122-2-211-2-2-2-2-1-1112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000000000020-200-1-10011
χ2222-2-22-1222-122-2-211-2-2-2-2-1-1112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000000-202001100-1-122-2-22-1222-122-2-211-2-2-2-2-1-1112-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111100000000000-202001100-1-1
χ2322-2-2-1222-122211-2-2-2-2-2-2-1-111-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000020-20-1-100110022-2-2-1222-122211-2-2-2-2-2-2-1-111-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000020-20-1-1001100
χ2422-2-2-1222-122211-2-2-2-2-2-2-1-111-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-211110000000000-20201100-1-10022-2-2-1222-122211-2-2-2-2-2-2-1-111-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-211110000000000-20201100-1-100
χ252-22i−2i2222-2-2-2-22i−2i2i−2i2i−2i2i−2i2-22i−2i22222222-2-2-2-2-2-2-2-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i00000000000000000000002-22i−2i2222-2-2-2-22i−2i2i−2i2i−2i2i−2i2-22i−2i22222222-2-2-2-2-2-2-2-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000
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χ1554-4−4i4i-2-2−1+5−1−5221−51+52i−2i2i−2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591-1−ii1−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ472ζ7−ζ23−ζ43+2ζ47−ζ7+2ζ23+2ζ43−ζ47−2ζ7+ζ23+ζ43−2ζ47ζ7−2ζ23−2ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11+2ζ19−ζ31+2ζ592ζ11−ζ19+2ζ31−ζ59ζ11−2ζ19+ζ31−2ζ59−2ζ11+ζ19−2ζ31+ζ590000000000000000000000-444i−4i221−51+5-2-2−1+5−1−5−2i2i−2i2i−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59-11i−i−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−2ζ7+ζ23+ζ43−2ζ47ζ7−2ζ23−2ζ43+ζ472ζ7−ζ23−ζ43+2ζ47−ζ7+2ζ23+2ζ43−ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11−2ζ19+ζ31−2ζ59−2ζ11+ζ19−2ζ31+ζ59−ζ11+2ζ19−ζ31+2ζ592ζ11−ζ19+2ζ31−ζ590000000000000000000000
χ1564-4−4i4i-2-2−1+5−1−5221−51+52i−2i2i−2i2ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ591-1−ii1−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7+2ζ23+2ζ43−ζ472ζ7−ζ23−ζ43+2ζ47ζ7−2ζ23−2ζ43+ζ47−2ζ7+ζ23+ζ43−2ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ592ζ11−ζ19+2ζ31−ζ59−ζ11+2ζ19−ζ31+2ζ59−2ζ11+ζ19−2ζ31+ζ59ζ11−2ζ19+ζ31−2ζ590000000000000000000000-444i−4i221−51+5-2-2−1+5−1−5−2i2i−2i2i−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59-11i−i−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7−2ζ23−2ζ43+ζ47−2ζ7+ζ23+ζ43−2ζ47−ζ7+2ζ23+2ζ43−ζ472ζ7−ζ23−ζ43+2ζ47ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−2ζ11+ζ19−2ζ31+ζ59ζ11−2ζ19+ζ31−2ζ592ζ11−ζ19+2ζ31−ζ59−ζ11+2ζ19−ζ31+2ζ590000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.