Finite Group Databasebeta

← Group #11753157

Character table — Group #11753157

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222222224444444444444444444444444466666666668888888888881010101010101212121212121212121212121212122020202020202020203030606060
order1222223444455666101010101010661010101012121212151520202020202020203030303030304420202020202020203030303060606060606060604412121212244101010102020202020202020244661212121244244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-11111-1-11
χ61111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111-111111-1-1-1-111-1
χ71111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-1111111111-1-1-1-1-11-1-1-1-1-111-1-111-1
χ81111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-11-111111-1-111-1-11
χ91111-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-11-1
χ101111-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-11-11
χ111111-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1111111111-1-111-1-1-1-1-1-11-11
χ121111-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-111-1-1111111-11-1
χ131111-1-11-1-11111111111111-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-11111-1-1-1-1-1-11-1-111-1-1111-1-1
χ141111-1-11-1-11111111111111-1-1-1-1-1-111-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-111-1-111-1-1-111
χ151111-1-11-1-11111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-11111-1-11-1-111-1-1-1-1-111
χ161111-1-11-1-11111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11111-1-1-1-1111111-111-1-111111-1-1
χ1722222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ1822222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+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+52-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ1922222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2022222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ212222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ222222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000002-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ232222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ242222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000002-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ25222222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000000222-1-1-1-1-1-100000
χ26222222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000000000000000-2-2-211111100000
χ27222222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000-1-1-1-11111111122-1-1-1-1000000000000000-22-21111-1-100000
χ28222222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000-1-1-1-111111111-2-211110000000000000002-22-1-1-1-11100000
χ292222-2-2222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521−521−52-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000002-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
χ302222-2-2222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521−521−52-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000-2221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ312222-2-2222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521+521+52-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000002-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
χ322222-2-2222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521+521+52-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000-2221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ332222-2-22-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521−521−5222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ342222-2-22-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521−521−5222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521+521+521−521−521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000022-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ352222-2-22-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521+521+5222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ362222-2-22-2-222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521+521+5222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000022-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ372222-2-2-122-2-222-1-1-122222211-2-2-2-211-1-1-1-1-2-2-2-22222-1-1-1-1-1-100000000001111-1-1-1-1111122-1-1-1-10000000000000002-2-2-1-1111100000
χ382222-2-2-122-2-222-1-1-122222211-2-2-2-211-1-1-1-1-2-2-2-22222-1-1-1-1-1-100000000001111-1-1-1-11111-2-21111000000000000000-22211-1-1-1-100000
χ392222-2-2-1-2-22222-1-1-122222211-2-2-2-2-1-111-1-12222-2-2-2-2-1-1-1-1-1-1000000000011111111-1-1-1-122-1-1-1-1000000000000000-2-2211-1-11100000
χ402222-2-2-1-2-22222-1-1-122222211-2-2-2-2-1-111-1-12222-2-2-2-2-1-1-1-1-1-1000000000011111111-1-1-1-1-2-2111100000000000000022-2-1-111-1-100000
χ412-22-22-222i−2i2i−2i22-22-2-2-222-2-22-22-22-22i−2i2i−2i222i−2i2i−2i2i−2i2i−2i22-2-2-2-200000000002-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000
χ422-22-22-222i−2i2i−2i−1−52−1+52-22-21+521−52−1−52−1+521+521−522-2−1−521+52−1+521−522i−2i2i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1+521+521+521−521−5200−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47−1−521+52−1+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000
χ432-22-22-222i−2i2i−2i−1−52−1+52-22-21+521−52−1−52−1+521+521−522-2−1−521+52−1+521−522i−2i2i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−1−52−1+521+521+521−521−5200ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−1−521+52−1+521−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ4700000000000000
χ442-22-22-222i−2i2i−2i−1+52−1−52-22-21−521+52−1+52−1−521−521+522-2−1+521−52−1−521+522i−2i2i−2i−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−1+52−1−521−521−521+521+5200ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ11+ζ19−ζ31+ζ59−1+521−52−1−521+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59000000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ5900000000000000
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χ10388-8-800-40000−2+25−2−2544-42−252+252−252+25−2+25−2−2500000000001−51+500000000−1+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000
χ1048-8-8800-40000−2−25−2+25-444−2−25−2+252+252−252+252−2500000000001+51−500000000−1−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000
χ1058-8-8800-40000−2+25−2−25-444−2+25−2−252−252+252−252+2500000000001−51+500000000−1+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000

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