Finite Group Databasebeta

← Group #14316948

Character table — Group #14316948

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222224444444444444444448888888888888888888888888881616161616161616161616242424242424242424244848484848808080808080120120120120
order12235561010444610101515202020203030303030304412121212122020202020202020606060606060606060606060122020606060606060606024101010102020202084040404088242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111111111-1-1-1-1-11-111-1-11-11-1
χ6111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11-1-111-11-11
χ7111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-11-11
χ8111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1111-11-1
χ92222222222-2-22222222222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-2-222220000000000000000000000000
χ102222222222-2-2222222222222222-22222-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000
χ11222222222-22-222222-2-2-2-222222200-2002-222-2-2000000000000-2-2-2-200022-2-2000000000000000000000000020-20
χ12222222222-22-222222-2-2-2-222222200-2002-222-2-2000000000000-2-2-2-200022-2-20000000000000000000000000-2020
χ13222222222-2-2222222-2-2-2-222222200-200-22-2-222000000000000-2-2-2-2000-2-2220000000000000000000000000020-2
χ14222222222-2-2222222-2-2-2-222222200-200-22-2-222000000000000-2-2-2-2000-2-22200000000000000000000000000-202
χ152222−1−52−1+522−1−52−1+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+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+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+522−1−52−1−52−1+52−1+520000000000
χ162222−1−52−1+522−1−52−1+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+522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52-21+521+521−521−520000000000
χ172222−1−52−1+522−1−52−1+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+52-2-22-2-222−1−52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-21+521−52−1−52−1+52−1−52−1+521+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−520000000000
χ182222−1−52−1+522−1−52−1+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+52-2-22-2-222−1−52−1+52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-21+521−52−1−52−1+52−1−52−1+521+521+521−521−52-2-21+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+520000000000
χ192222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-2-2-2-21+521−521+521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+5200−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+ζ580−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000000000
χ202222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-22-2-2-2-21+521−521+521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+5200ζ14−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−ζ580ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000000000
χ212222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22222-2-21+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+52−1−52−1−52−1+52−1+52-21+521−521+521−521+521−521+521+521−521−5200−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+ζ580ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000000000
χ222222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22222-2-21+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+52−1−52−1−52−1+52−1+52-21+521−521+521−521+521−521+521+521−521−5200ζ14−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−ζ580−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000000000
χ232222−1+52−1−522−1+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+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−522−1+52−1+52−1−52−1−520000000000
χ242222−1+52−1−522−1+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+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522−1+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+52-21−521−521+521+520000000000
χ252222−1+52−1−522−1+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+52−1−52-2-22-2-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-21−521+52−1+52−1−52−1+52−1−521−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+520000000000
χ262222−1+52−1−522−1+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+52−1−52-2-22-2-222−1+52−1−52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-21−521+52−1+52−1−52−1+52−1−521−521−521+521+52-2-21−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−520000000000
χ272222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-2-2-2-21−521+521−521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000000000
χ282222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-2-2-2-21−521+521−521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−5200−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−ζ460−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000000000
χ292222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22222-2-21−521+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+52−1−52−1−52-21−521+521−521+521−521+521−521−521+521+5200ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000000000
χ302222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22222-2-21−521+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+52−1−52−1−52-21−521+521−521+521−521+521−521−521+521+5200−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−ζ460ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000000000
χ31222-122-122222-122-1-12222-1-1-1-1-1-122-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000022-1-1-1-10000
χ32222-122-122222-122-1-12222-1-1-1-1-1-122-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000-2-211110000
χ33222-122-122222-122-1-12222-1-1-1-1-1-1-2-2-111-1-12222-2-2-2-211111111-1-1-1-11-2-2-1-1-1-111110000000000000002-2-1-1110000
χ34222-122-122222-122-1-12222-1-1-1-1-1-1-2-2-111-1-12222-2-2-2-211111111-1-1-1-11-2-2-1-1-1-11111000000000000000-2211-1-10000
χ35222-122-1222-2-2-122-1-12222-1-1-1-1-1-12-2-11111-2-2-2-2-2-2-2-211111111-1-1-1-1-1221111-1-1-1-1000000000000000003−33−30000
χ36222-122-1222-2-2-122-1-12222-1-1-1-1-1-12-2-11111-2-2-2-2-2-2-2-211111111-1-1-1-1-1221111-1-1-1-100000000000000000−33−330000
χ37222-122-1222-2-2-122-1-12222-1-1-1-1-1-1-22-1-1-111-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-11-2-211111111000000000000000003−3−330000
χ38222-122-1222-2-2-122-1-12222-1-1-1-1-1-1-22-1-1-111-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-11-2-21111111100000000000000000−333−30000
χ394444−1−5−1+54−1−5−1+5-44-44−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+500-4004-4−1−5−1+51+51−50000000000001+51+51−51−5000−1−5−1+51+51−500000000000000000000000000000
χ404444−1−5−1+54−1−5−1+5-4-444−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1+500-400-441+51−5−1−5−1+50000000000001+51+51−51−50001+51−5−1−5−1+500000000000000000000000000000
χ414444−1+5−1−54−1+5−1−5-44-44−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−500-4004-4−1+5−1−51−51+50000000000001−51−51+51+5000−1+5−1−51−51+500000000000000000000000000000
χ424444−1+5−1−54−1+5−1−5-4-444−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1−500-400-441−51+5−1+5−1−50000000000001−51−51+51+50001−51+5−1+5−1−500000000000000000000000000000
χ43444-244-244-44-4-244-2-2-4-4-4-4-2-2-2-2-2-200200-2244-4-40000000000002222000-2-22200000000000000000000000000000
χ44444-244-244-4-44-244-2-2-4-4-4-4-2-2-2-2-2-2002002-2-4-444000000000000222200022-2-200000000000000000000000000000
χ45444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−5244-2-2-2-2-2−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−52-2−1−5−1+51+521−521+521−521+521+521−521−520000000000000000000000000
χ46444-2−1−5−1+5-2−1−5−1+5444-2−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−52-4-4-222-2-2−1−5−1+5−1−5−1+51+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−5221+51−51+521−521+521−52−1−52−1−52−1+52−1+520000000000000000000000000
χ47444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−524-4-222221+51−51+51−51+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52-2−1−5−1+5−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000
χ48444-2−1−5−1+5-2−1−5−1+54-4-4-2−1−5−1+51+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−52-44-2-2-2221+51−51+51−5−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−5221+51−5−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000
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χ888-80-4−2+25−2−2542−252+250000001−51+50000−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−50002i3−2i3000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ22−2ζ38−2ζ22+2ζ382ζ2−2ζ58−2ζ2+2ζ58−2ζ26+2ζ342ζ26−2ζ342ζ14−2ζ46−2ζ14+2ζ460000000000000000000000000000000000000000
χ898-80-4−2+25−2−2542−252+250000001−51+500002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−5000−2i32i3000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2−2ζ58−2ζ2+2ζ582ζ22−2ζ38−2ζ22+2ζ382ζ14−2ζ46−2ζ14+2ζ46−2ζ26+2ζ342ζ26−2ζ340000000000000000000000000000000000000000
χ908-80-4−2+25−2−2542−252+250000001−51+500002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−50002i3−2i30000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2+2ζ582ζ2−2ζ58−2ζ22+2ζ382ζ22−2ζ38−2ζ14+2ζ462ζ14−2ζ462ζ26−2ζ34−2ζ26+2ζ340000000000000000000000000000000000000000

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