Finite Group Databasebeta

← Group #14278375

Character table — Group #14278375

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112222222444444444444448888888888888888888881616161616161616161616161616162020202040404040808080120120120120120120120120
order1223446665101010121215153030303030304121220202020202060606060606060606060606041212202020206060606060606060888824242424412121616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−i
χ922222222222222222222222-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000022-2-222-2-200000000000
χ1022222222222222222222222-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000-2-222-2-22200000000000
χ11222-122-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12-1-100000000
χ12222-122-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-21100000000
χ13222-122-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2111111112222-1-1-1-1-21100000000
χ14222-122-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-211111111-2-2-2-211112-1-100000000
χ15222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-21122-2-2-2-2-1-1-1-1111111110−i3i30000−i3−i3−i3−i3i3i3i3i322-2-2-1-1110−i3i300000000
χ16222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-21122-2-2-2-2-1-1-1-1111111110−i3i30000−i3−i3−i3−i3i3i3i3i3-2-22211-1-10i3−i300000000
χ17222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-21122-2-2-2-2-1-1-1-1111111110i3−i30000i3i3i3i3−i3−i3−i3−i322-2-2-1-1110i3−i300000000
χ18222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-21122-2-2-2-2-1-1-1-1111111110i3−i30000i3i3i3i3−i3−i3−i3−i3-2-22211-1-10−i3i300000000
χ1922-222-2-2-2222-2-22-22222-2-2-2-20002-2000022-2-200000000000000000000000002i−2i002i−2i0001+i−1−i001−i−1+i00
χ2022-222-2-2-2222-2-22-22222-2-2-2-20002-2000022-2-200000000000000000000000002i−2i002i−2i000−1−i1+i00−1+i1−i00
χ2122-222-2-2-2222-2-22-22222-2-2-2-20002-2000022-2-20000000000000000000000000−2i2i00−2i2i0001−i−1+i001+i−1−i00
χ2222-222-2-2-2222-2-22-22222-2-2-2-20002-2000022-2-20000000000000000000000000−2i2i00−2i2i000−1+i1−i00−1−i1+i00
χ2322-22-22-2-2222-2-2-222222-2-2-2-2000-220000-2-222000000000000000000000002i−2i002i−2i00000001−i−1+i001+i−1−i
χ2422-22-22-2-2222-2-2-222222-2-2-2-2000-220000-2-222000000000000000000000002i−2i002i−2i0000000−1+i1−i00−1−i1+i
χ2522-22-22-2-2222-2-2-222222-2-2-2-2000-220000-2-22200000000000000000000000−2i2i00−2i2i00000001+i−1−i001−i−1+i
χ2622-22-22-2-2222-2-2-222222-2-2-2-2000-220000-2-22200000000000000000000000−2i2i00−2i2i0000000−1−i1+i00−1+i1−i
χ27444444444-1-1-1-144-1-1-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000
χ28444444444-1-1-1-144-1-1-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-41111111111110000000000000000000
χ29444444444-1-1-1-144-1-1-1-1-1-1-1-1-4-4-4-1-11111-1-1-1-111111111000−5−555−5−555−5−5550000000000000000000
χ30444444444-1-1-1-144-1-1-1-1-1-1-1-1-4-4-4-1-11111-1-1-1-11111111100055−5−555−5−555−5−50000000000000000000
χ314444-4-44444444-4-444444444000-4-40000-4-4-4-4000000000000000000000000000000000000000000
χ324444-4-4444-1-1-1-1-4-4-1-1-1-1-1-1-1-100011−5−5551111−5−5−5−55555000ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ580000000000000000000
χ334444-4-4444-1-1-1-1-4-4-1-1-1-1-1-1-1-100011−5−5551111−5−5−5−55555000−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580000000000000000000
χ344444-4-4444-1-1-1-1-4-4-1-1-1-1-1-1-1-10001155−5−511115555−5−5−5−5000ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ580000000000000000000
χ354444-4-4444-1-1-1-1-4-4-1-1-1-1-1-1-1-10001155−5−511115555−5−5−5−5000−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580000000000000000000
χ36444-244-2-2-2-1-1-1-1-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1524-2-2-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1524-2-2-1-1-1-11−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1520000000000000000000
χ37444-244-2-2-2-1-1-1-1-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1524-2-2-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-4221111−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i1520000000000000000000
χ38444-244-2-2-2-1-1-1-1-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152-422-1-111111−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i1520−2i32i355−5−5ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ580000000000000000000
χ39444-244-2-2-2-1-1-1-1-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152-422-1-111111−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i15202i3−2i3−5−555−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ580000000000000000000
χ40444-244-2-2-2-1-1-1-1-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1524-2-2-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1524-2-2-1-1-1-11+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1520000000000000000000
χ41444-244-2-2-2-1-1-1-1-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1524-2-2-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-4221111−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i1520000000000000000000
χ42444-244-2-2-2-1-1-1-1-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152-422-1-111111+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i1520−2i32i3−5−555ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ460000000000000000000
χ43444-244-2-2-2-1-1-1-1-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152-422-1-111111+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i15202i3−2i355−5−5−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ460000000000000000000
χ44444-2-4-4-2-2-2444422-2-2-2-2-2-2-2-20−2i32i3-4-400002222−2i3−2i32i32i32i32i3−2i3−2i30000000000000000000000000000000000
χ45444-2-4-4-2-2-2444422-2-2-2-2-2-2-2-202i3−2i3-4-4000022222i32i3−2i3−2i3−2i3−2i32i32i30000000000000000000000000000000000
χ46444-2-4-4-2-2-2-1-1-1-1221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1520−2i32i31155−5−5−1+i152−1−i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46000ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ14−ζ22+ζ26+ζ58ζ14+ζ22−ζ26−ζ58ζ2−ζ34−ζ38+ζ46−ζ2+ζ34+ζ38−ζ46−ζ2−ζ34+ζ38+ζ46ζ2+ζ34−ζ38−ζ46−ζ14+ζ22+ζ26−ζ58ζ14−ζ22−ζ26+ζ580000000000000000000
χ47444-2-4-4-2-2-2-1-1-1-1221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1520−2i32i31155−5−5−1+i152−1−i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46000−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ14+ζ22−ζ26−ζ58−ζ14−ζ22+ζ26+ζ58−ζ2+ζ34+ζ38−ζ46ζ2−ζ34−ζ38+ζ46ζ2+ζ34−ζ38−ζ46−ζ2−ζ34+ζ38+ζ46ζ14−ζ22−ζ26+ζ58−ζ14+ζ22+ζ26−ζ580000000000000000000
χ48444-2-4-4-2-2-2-1-1-1-1221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i15202i3−2i311−5−555−1+i152−1−i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46000ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ14−ζ22−ζ26+ζ58−ζ14+ζ22+ζ26−ζ58−ζ2−ζ34+ζ38+ζ46ζ2+ζ34−ζ38−ζ46−ζ2+ζ34+ζ38−ζ46ζ2−ζ34−ζ38+ζ46−ζ14−ζ22+ζ26+ζ58ζ14+ζ22−ζ26−ζ580000000000000000000
χ49444-2-4-4-2-2-2-1-1-1-1221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i15202i3−2i311−5−555−1+i152−1−i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46000−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ14+ζ22+ζ26−ζ58ζ14−ζ22−ζ26+ζ58ζ2+ζ34−ζ38−ζ46−ζ2−ζ34+ζ38+ζ46ζ2−ζ34−ζ38+ζ46−ζ2+ζ34+ζ38−ζ46ζ14+ζ22−ζ26−ζ58−ζ14−ζ22+ζ26+ζ580000000000000000000
χ50444-2-4-4-2-2-2-1-1-1-1221+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1520−2i32i311−5−555−1−i152−1+i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58000ζ2−ζ14+ζ22+ζ26−ζ34−ζ38+ζ46−ζ58−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58−ζ2+ζ34+ζ38−ζ46ζ2−ζ34−ζ38+ζ46−ζ14−ζ22+ζ26+ζ58ζ14+ζ22−ζ26−ζ58ζ14−ζ22−ζ26+ζ58−ζ14+ζ22+ζ26−ζ58−ζ2−ζ34+ζ38+ζ46ζ2+ζ34−ζ38−ζ460000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.