Finite Group Databasebeta

← Group #11754224

Character table — Group #11754224

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444444121212121212121212122020202020203030303011112222222222222244444444444444444444441212121212121212121220202020202030303030
order1222344556661010101010101212151520202020303030303030606060606060606024101010102020202044121212122244222264410106661010101010101212303020202020303030303030606060606060606024101010102020202044121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-11-111-1-1-1-11111111-1-111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-11-111-1-1-1-111
χ611111-1-111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-11-1-11111-1-111111-1-111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-11-1-11111-1-1
χ711111-1-111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111111-111-1-111-1-111111-1-111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111111-111-1-111-1-1
χ811111-1-111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-1-111-1-11111111-1-111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-11-1-111-1-111
χ92222222−1−52−1+52222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000002222222−1−52−1+52222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ102222222−1−52−1+52222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−5200000000002222222−1−52−1+52222−1−52−1+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+52-2-21+521+521−521−521+521+521−521−520000000000
χ112222222−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000002222222−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ122222222−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000002222222−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+520000000000
χ1322222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000000022222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ1422222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+52000000000022222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ1522222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000000022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ1622222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−52000000000022222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ172222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-100002222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-10000
χ182222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2111100002222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-211110000
χ192222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-11111111100000000002-2-1-11100002222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-11111111100000000002-2-1-1110000
χ202222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-1111111110000000000-2211-1-100002222-1-2-222-1-1-122222211-1-1-2-2-2-2-1-1-1-1-1-1111111110000000000-2211-1-10000
χ2122-2-2200222-2-2-2-2-2-222002200002-22-2-2-2000000000000000000000000002i−2i22-2-2200222-2-2-2-2-2-222002200002-22-2-2-2000000000000000000000000002i−2i
χ2222-2-2200222-2-2-2-2-2-222002200002-22-2-2-200000000000000000000000000−2i2i22-2-2200222-2-2-2-2-2-222002200002-22-2-2-200000000000000000000000000−2i2i
χ232-22-222i−2i22-22-222-2-2-2-22i−2i222i−2i2i−2i-22-22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000002-22-222i−2i22-22-222-2-2-2-22i−2i222i−2i2i−2i-22-22-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000
χ242-22-222i−2i−1−52−1+52-22-2−1−52−1+521+521−521+521−522i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ471+52−1−521−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700−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−ζ4700000000002-22-222i−2i−1−52−1+52-22-2−1−52−1+521+521−521+521−522i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ471+52−1−521−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700−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−ζ470000000000
χ252-22-222i−2i−1−52−1+52-22-2−1−52−1+521+521−521+521−522i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ471+52−1−521−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700ζ14−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+ζ4700000000002-22-222i−2i−1−52−1+52-22-2−1−52−1+521+521−521+521−522i−2i−1−52−1+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ471+52−1−521−52−1+521+521−52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ4700ζ14−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+ζ470000000000
χ262-22-222i−2i−1+52−1−52-22-2−1+52−1−521−521+521−521+522i−2i−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ591−52−1+521+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ5900000000002-22-222i−2i−1+52−1−52-22-2−1+52−1−521−521+521−521+522i−2i−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ591−52−1+521+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ590000000000
χ272-22-222i−2i−1+52−1−52-22-2−1+52−1−521−521+521−521+522i−2i−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ591−52−1+521+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900−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+ζ5900000000002-22-222i−2i−1+52−1−52-22-2−1+52−1−521−521+521−521+522i−2i−1+52−1−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ591−52−1+521+52−1−521−521+52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ5900−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+ζ590000000000
χ282-22-22−2i2i22-22-222-2-2-2-2−2i2i22−2i2i−2i2i-22-22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000002-22-22−2i2i22-22-222-2-2-2-2−2i2i22−2i2i−2i2i-22-22-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000
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χ1154-4-44400−1+5−1−5-4-441−51+5−1+5−1−51−51+500−1+5−1−500001−51−51+51+5−1+5−1−50000000000000000000000000000-444-4-4001−51+544-4−1+5−1−51−51+5−1+5−1−5001−51+50000−1+5−1+5−1−5−1−51−51+50000000000000000000000000000
χ1164-4-44-2004422-2-4-444-4-400-2-200002222-2-20000000000000000000000000000-444-4200-4-4-2-2244-4-44400220000-2-2-2-2220000000000000000000000000000
χ1174-4-44-200−1−5−1+522-21+51−5−1−5−1+51+51−5001+521−520000−1−52−1−52−1+52−1+521+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ5800000000000000000000-444-42001+51−5-2-22−1−5−1+51+51−5−1−5−1+500−1−52−1+5200001+521+521−521−52−1−52−1+52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ5800000000000000000000
χ1184-4-44-200−1−5−1+522-21+51−5−1−5−1+51+51−5001+521−520000−1−52−1−52−1+52−1+521+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ5800000000000000000000-444-42001+51−5-2-22−1−5−1+51+51−5−1−5−1+500−1−52−1+5200001+521+521−521−52−1−52−1+52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ5800000000000000000000
χ1194-4-44-200−1+5−1−522-21−51+5−1+5−1−51−51+5001−521+520000−1+52−1+52−1−52−1−521−521+52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ4600000000000000000000-444-42001−51+5-2-22−1+5−1−51−51+5−1+5−1−500−1+52−1−5200001−521−521+521+52−1+52−1−52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ4600000000000000000000
χ1204-4-44-200−1+5−1−522-21−51+5−1+5−1−51−51+5001−521+520000−1+52−1+52−1−52−1−521−521+52ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ4600000000000000000000-444-42001−51+5-2-22−1+5−1−51−51+5−1+5−1−500−1+52−1−5200001−521−521+521+52−1+52−1−52−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ4600000000000000000000

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