Finite Group Databasebeta

← Group #14513440

Character table — Group #14513440

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222444466668888888810101010121212121212121216161616161616161616161616161616242424242424242424242424242424242424242440404040404040406060120120120120
order1222445510101010101020202020224436661212121244441010101020202020151530303030303060606060606060604488202020202020202040404040404040401212121212121212442288
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1
χ61111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-11
χ71111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11
χ81111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-11-1
χ92222222222222222222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-1-1-1-1220000
χ102222222222222222222222-1-1-1-1-1-1-1-1-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000011111111-2-20000
χ11222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222222220000−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+5200000000000000
χ12222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222222222220000−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+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+521−521−5200000000000000
χ13222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222222220000−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−5200000000000000
χ14222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222222222220000−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+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+5200000000000000
χ152222-2-222222222-2-2-2-2-2-222-1-1-1-1111122-2-2-2-2-2-22222-1-1-1-1-1-1-1-11111111100000000000000000000-1-1-1-111112-20000
χ162222-2-222222222-2-2-2-2-2-222-1-1-1-11111-2-222-2-2-2-22222-1-1-1-1-1-1-1-111111111000000000000000000001111-1-1-1-1-220000
χ172222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52-2-2222222-2-2-2-200001+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+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+521−521−5200000000000000
χ182222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52-2-2222222-2-2-2-200001+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+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+5200000000000000
χ192222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52-2-2222222-2-2-2-200001−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+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+5200000000000000
χ202222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52-2-2222222-2-2-2-200001−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+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+52−1−52−1−5200000000000000
χ2122-2-22-222-2-2-2-2222-22-22-2-2222-2-222-2-200002-22-2-2-22222-2-2-2-22222-2-222-2-20000000000000000000000000000000000
χ2222-2-22-222-2-2-2-2222-22-22-2-22-1-111-1-11100002-22-2-2-222-1-11111-1-1-1-111-1-1110000000000000000000033−3−333−3−3000000
χ2322-2-22-222-2-2-2-2222-22-22-2-22-1-111-1-11100002-22-2-2-222-1-11111-1-1-1-111-1-11100000000000000000000−3−333−3−333000000
χ2422-2-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−521+52−1+521−522-2-2222-2-222-2-20000−1−521+52−1+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+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+ζ5800000000000000
χ2522-2-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−521+52−1+521−522-2-2222-2-222-2-20000−1−521+52−1+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+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−ζ5800000000000000
χ2622-2-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1−521+522-2-2222-2-222-2-20000−1+521−52−1−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+520000ζ2+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+ζ46ζ2+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+ζ4600000000000000
χ2722-2-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+521−52−1−521+522-2-2222-2-222-2-20000−1+521−52−1−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+521−521−52−1−52−1−521+521+520000−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−ζ46−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−ζ4600000000000000
χ2822-2-2-2222-2-2-2-222-22-22-22-2222-2-2-2-2220000-22-22-2-22222-2-2-2-222-2-222-2-2220000000000000000000000000000000000
χ2922-2-2-2222-2-2-2-222-22-22-22-22-1-11111-1-10000-22-22-2-222-1-11111-1-111-1-111-1-10000000000000000000033−3−3−3−333000000
χ3022-2-2-2222-2-2-2-222-22-22-22-22-1-11111-1-10000-22-22-2-222-1-11111-1-111-1-111-1-100000000000000000000−3−33333−3−3000000
χ3122-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+52−1−521−52−1+52-22-2222-2-2-2-22200001+52−1−521−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000000000000
χ3222-2-2-22−1−52−1+521+521+521−521−52−1−52−1+521+52−1−521−52−1+52-22-2222-2-2-2-22200001+52−1−521−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+52−1−52−1−521−521−52−1+52−1+520000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000000000000
χ3322-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−52−1+521+52−1−52-22-2222-2-2-2-22200001−52−1+521+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ4600000000000000
χ3422-2-2-22−1+52−1−521−521−521+521+52−1+52−1−521−52−1+521+52−1−52-22-2222-2-2-2-22200001−52−1+521+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ4600000000000000
χ35333333333333333333-1-1-1-1000000003333-1-1-1-1-1-1-1-1000000000000000011-1-111111111-1-1-1-1-1-1-1-100000000-1-111-1-1
χ36333333333333333333-1-1-1-1000000003333-1-1-1-1-1-1-1-10000000000000000-1-111-1-1-1-1-1-1-1-11111111100000000-1-1-1-111
χ37333333333333333333-1-1-1-100000000-3-3-3-3-1-1-1-1-1-1-1-1000000000000000011-1-111111111-1-1-1-1-1-1-1-10000000011-1-111
χ38333333333333333333-1-1-1-100000000-3-3-3-3-1-1-1-1-1-1-1-10000000000000000-1-111-1-1-1-1-1-1-1-111111111000000001111-1-1
χ393333-3-333333333-3-3-3-311-1-10000000033-3-31111-1-1-1-100000000000000001-1-111111-1-1-1-1-1-1-1-1111100000000-111-1-11
χ403333-3-333333333-3-3-3-311-1-10000000033-3-31111-1-1-1-10000000000000000-111-1-1-1-1-111111111-1-1-1-100000000-11-111-1
χ413333-3-333333333-3-3-3-311-1-100000000-3-3331111-1-1-1-100000000000000001-1-111111-1-1-1-1-1-1-1-11111000000001-1-111-1
χ423333-3-333333333-3-3-3-311-1-100000000-3-3331111-1-1-1-10000000000000000-111-1-1-1-1-111111111-1-1-1-1000000001-11-1-11
χ43444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1−5−1+5−1+54444-2-2-2-2-2-2-2-20000−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+51+521−521+521+521−521−521+521−521+521+521+521+521−521−521−521−520000000000000000000000000000000000
χ44444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1+5−1−5−1−54444-2-2-2-2-2-2-2-20000−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−51−521+521−521−521+521+521−521+521−521−521−521−521+521+521+521+520000000000000000000000000000000000
χ454444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51+51−51−5-4-444-2-2-2-2222200001+51+51−51−5−1−5−1+5−1−5−1+51+521−521+521+521−521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000000000000000
χ464444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51−51+51+5-4-444-2-2-2-2222200001−51−51+51+5−1+5−1−5−1+5−1−51−521+521−521−521+521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000000000000000
χ4744-4-44-4−1−5−1+51+51+51−51−5−1−5−1+5−1−51+5−1+51−54-4-44-2-222-2-2220000−1−51+5−1+51−51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+521+521−521+521+52−1−52−1−521−521−52−1+52−1+520000000000000000000000000000000000
χ4844-4-44-4−1+5−1−51−51−51+51+5−1+5−1−5−1+51−5−1−51+54-4-44-2-222-2-2220000−1+51−5−1−51+51−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−521−521+521−521−52−1+52−1+521+521+52−1−52−1−520000000000000000000000000000000000
χ4944-4-4-44−1−5−1+51+51+51−51−5−1−5−1+51+5−1−51−5−1+5-44-44-2-22222-2-200001+5−1−51−5−1+51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−520000000000000000000000000000000000
χ5044-4-4-44−1+5−1−51−51−51+51+5−1+5−1−51−5−1+51+5−1−5-44-44-2-22222-2-200001−5−1+51+5−1−51−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+521−521−52−1−52−1−521+521+520000000000000000000000000000000000
χ514-44-400444-44-4-4-4000000001-11-13−33−3004i−4i00000000111-11-1-1-13−33−33−33−300000000000000000000−i3i3−i3i3i−ii−i000000
χ524-44-400444-44-4-4-4000000001-11-13−33−300−4i4i00000000111-11-1-1-13−33−33−33−300000000000000000000i3−i3i3−i3−ii−ii000000
χ534-44-400444-44-4-4-4000000001-11-1−33−33004i−4i00000000111-11-1-1-1−33−33−33−3300000000000000000000i3−i3i3−i3i−ii−i000000
χ544-44-400444-44-4-4-4000000001-11-1−33−3300−4i4i00000000111-11-1-1-1−33−33−33−3300000000000000000000−i3i3−i3i3−ii−ii000000
χ554-44-400444-44-4-4-400000000-22-220000004i−4i00000000-2-2-22-222200000000000000000000000000000000−2i2i−2i2i000000
χ564-44-400444-44-4-4-400000000-22-22000000−4i4i00000000-2-2-22-2222000000000000000000000000000000002i−2i2i−2i000000
χ574-4-440044-44-44-4-4000000001-1-113−3−334i−4i000000000011-11-11-1-13−3−333−3−3300000000000000000000i−i−iii3−i3−i3i3000000
χ584-4-440044-44-44-4-4000000001-1-113−3−33−4i4i000000000011-11-11-1-13−3−333−3−3300000000000000000000−iii−i−i3i3i3−i3000000
χ594-4-440044-44-44-4-4000000001-1-11−333−34i−4i000000000011-11-11-1-1−333−3−333−300000000000000000000i−i−ii−i3i3i3−i3000000
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χ928-8-8800−2+25−2−252−25−2+252+25−2−252−252+2500000000-444-400000000000000001−51+5−1+51−5−1−51+5−1+5−1−5000000000000000000000000000000000000000000

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