Finite Group Databasebeta

← Group #11754607

Character table — Group #11754607

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222222222222222222222244444444444444444444444444444444444444444444121212121212121212121212121212121212121220202020202020202020202060606060
order12222234444556661010101010101212121220202020202020206610101010121215152020202030303030303030303030303030306060606060606060606060606060606022441010101010101010202020202020202022446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1
χ61111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111
χ71111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-111
χ81111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-1
χ91111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111-11-1
χ101111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-11-11
χ111111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-11-11
χ121111-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-11-11-1
χ131111-1-11-1-11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-11
χ141111-1-11-1-11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111-1
χ151111-1-11-1-11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-111-1
χ161111-1-11-1-11111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11
χ1722222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+520000000000000000
χ1822222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ1922222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+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+52−1−52−1−520000000000000000
χ2022222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ212222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ222222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ232222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521−521−521+521+521+521+5222−1+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+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+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ242222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521−521−521+521+521+521+5222−1+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+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+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ25222222-1222222-1-1-1222222-1-1-1-122222222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-1-1-1-1-10000
χ26222222-1222222-1-1-1222222-1-1-1-122222222-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2111111110000
χ27222222-1-2-2-2-222-1-1-12222221111-2-2-2-2-2-2-2-2-1-1222211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000002-22-2-1-111-1-1110000
χ28222222-1-2-2-2-222-1-1-12222221111-2-2-2-2-2-2-2-2-1-1222211-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000-22-2211-1-111-1-10000
χ292222-2-2222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222221+521+521+521+521−521−521−521−52-2-21+521+521−521−52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ302222-2-2222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222221+521+521+521+521−521−521−521−52-2-21+521+521−521−52-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ312222-2-2222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222221−521−521−521−521+521+521+521+52-2-21−521−521+521+52-2-2−1+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+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+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ322222-2-2222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222221−521−521−521−521+521+521+521+52-2-21−521−521+521+52-2-2−1+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+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ332222-2-22-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−5222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ342222-2-22-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−5222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ352222-2-22-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+5222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ362222-2-22-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+5222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ372222-2-2-122-2-222-1-1-1222222-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-211-1-12222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111000000000000000000002-2-22-1-11111-1-10000
χ382222-2-2-122-2-222-1-1-1222222-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-211-1-12222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111100000000000000000000-222-211-1-1-1-1110000
χ392222-2-2-1-2-22222-1-1-122222211112222222211-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-10000000000000000000022-2-2-1-1-1-111110000
χ402222-2-2-1-2-22222-1-1-122222211112222222211-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-100000000000000000000-2-2221111-1-1-1-10000
χ412-22-22-222-22-222-2-22-2-2-2-22222-2-222-2-222-2-22-22-22-22-2222-22-2-2-2-2-222-2-222-2-22222-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ422-22-22-222-22-2−1−52−1+52-2-221+521+521−521−52−1−52−1+5222-2-2−1−52−1−521+521+52−1+52−1+521−521−522-2−1−521+52−1+521−522-2−1−52−1+52−1−521+52−1+521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−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−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+ζ580000000000000000
χ432-22-22-222-22-2−1−52−1+52-2-221+521+521−521−52−1−52−1+5222-2-2−1−52−1−521+521+52−1+52−1+521−521−522-2−1−521+52−1+521−522-2−1−52−1+52−1−521+52−1+521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ14−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−ζ58ζ14−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−ζ580000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.