Finite Group Databasebeta

← Group #14301382

Character table — Group #14301382

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222244444444444444444444445588888888888888888888888101010101010101616161616161616161616162020202020202020202040404040406060606060606060120120120120
order12234466622445101010121212121212151530303030303044266662020202020206060606060606060606060602241212121210101010303030303030303044446612121212412121212888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ41111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111111-1-11111-1-1-1-1111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-111111111-1-1-1-1
χ611111111111-1-11111-1-1-1-1111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111111111-1-11111-1-1-1-11111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111-1-111iiii−i−i−i−i−i−iii
χ811111111111-1-11111-1-1-1-11111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111-1-111−i−i−i−iiiiiii−i−i
χ9111111111-1-11111111111111111111111-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-11-11-1
χ10111111111-1-11111111111111111111111-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-111-11-11
χ11111111111-1-111111111111111111111-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111ii−i−i−i−iiii−i−ii
χ12111111111-1-111111111111111111111-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111−i−iiiii−i−i−iii−i
χ13111111111-1-1-1-11111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11-1-11111-1-111-1-1-11-11
χ14111111111-1-1-1-11111-1-1-1-11111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11-1-111-1-111-1-1111-11-1
χ15111111111-1-1-1-11111-1-1-1-11111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-111-1-1ii−i−i−i−iii−iii−i
χ16111111111-1-1-1-11111-1-1-1-11111111111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-111-1-1−i−iiiii−i−ii−i−ii
χ172222-2-22222-20022220000-2-2222222222202-200-2-20000-2-2-2-200000000-2-2222222-20022-2-200002-200-2-2000002-200000000000000
χ182222-2-22222-20022220000-2-222222222-2-202-200-2-20000-2-2-2-20000000022-2-2-2-2-22-20022-2-20000-22002200000-2200000000000000
χ192222-2-2222-220022220000-2-222222222220-2200-2-20000-2-2-2-200000000-2-222222-2200-2-2220000-2200-2-200000-2200000000000000
χ202222-2-2222-220022220000-2-222222222-2-20-2200-2-20000-2-2-2-20000000022-2-2-2-2-2-2200-2-22200002-20022000002-200000000000000
χ21222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-1-1000000000000
χ22222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211112222-1-1-1-1-1-1-1-1-2-2-2-2111111-21111000000000000
χ23222-122-1-1-122-2-222221111-1-1-1-1-1-1-1-1-1-122-2-1-11122-2-2-2-2-1-1-1-111111111222-1-1-1-122-2-2-1-1-1-1111122-2-2-1-11111-2-1-111000000000000
χ24222-122-1-1-122-2-222221111-1-1-1-1-1-1-1-1-1-1-2-2-2-1-11122-2-2-2-2-1-1-1-111111111-2-2-2111122-2-2-1-1-1-11111-2-22211-1-1-1-1211-1-1000000000000
χ25222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-21111222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-2-2-2-211111111-2-222-1-1-1-1-1-1-21111000000000000
χ26222-122-1-1-1-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-21111111122-2-21111112-1-1-1-1000000000000
χ27222-122-1-1-1-2-2-2-222221111-1-1-1-1-1-1-1-1-1-122211-1-122-2-2-2-2-1-1-1-111111111222-1-1-1-1-2-2221111-1-1-1-1-2-2-2-2-1-11111211-1-1000000000000
χ28222-122-1-1-1-2-2-2-222221111-1-1-1-1-1-1-1-1-1-1-2-2211-1-122-2-2-2-2-1-1-1-111111111-2-2-21111-2-2221111-1-1-1-1222211-1-1-1-1-2-1-111000000000000
χ29222-1-2-2-1-1-12-2002222−i3−i3i3i311-1-1-1-1-1-1-1-1220-11−i3i3-2-200001111−i3−i3−i3−i3i3i3i3i3-2-22-1-1-1-12-200-1-111−i3−i3i3i32-20011−i3−i3i3i30-11−i3i3000000000000
χ30222-1-2-2-1-1-12-2002222−i3−i3i3i311-1-1-1-1-1-1-1-1-2-20-11−i3i3-2-200001111−i3−i3−i3−i3i3i3i3i322-211112-200-1-111−i3−i3i3i3-2200-1-1i3i3−i3−i301-1i3−i3000000000000
χ31222-1-2-2-1-1-12-2002222i3i3−i3−i311-1-1-1-1-1-1-1-1220-11i3−i3-2-200001111i3i3i3i3−i3−i3−i3−i3-2-22-1-1-1-12-200-1-111i3i3−i3−i32-20011i3i3−i3−i30-11i3−i3000000000000
χ32222-1-2-2-1-1-12-2002222i3i3−i3−i311-1-1-1-1-1-1-1-1-2-20-11i3−i3-2-200001111i3i3i3i3−i3−i3−i3−i322-211112-200-1-111i3i3−i3−i3-2200-1-1−i3−i3i3i301-1−i3i3000000000000
χ33222-1-2-2-1-1-1-22002222−i3−i3i3i311-1-1-1-1-1-1-1-12201-1i3−i3-2-200001111−i3−i3−i3−i3i3i3i3i3-2-22-1-1-1-1-220011-1-1i3i3−i3−i3-220011−i3−i3i3i301-1i3−i3000000000000
χ34222-1-2-2-1-1-1-22002222−i3−i3i3i311-1-1-1-1-1-1-1-1-2-201-1i3−i3-2-200001111−i3−i3−i3−i3i3i3i3i322-21111-220011-1-1i3i3−i3−i32-200-1-1i3i3−i3−i30-11−i3i3000000000000
χ35222-1-2-2-1-1-1-22002222i3i3−i3−i311-1-1-1-1-1-1-1-12201-1−i3i3-2-200001111i3i3i3i3−i3−i3−i3−i3-2-22-1-1-1-1-220011-1-1−i3−i3i3i3-220011i3i3−i3−i301-1−i3i3000000000000
χ36222-1-2-2-1-1-1-22002222i3i3−i3−i311-1-1-1-1-1-1-1-1-2-201-1−i3i3-2-200001111i3i3i3i3−i3−i3−i3−i322-21111-220011-1-1−i3−i3i3i32-200-1-1−i3−i3i3i30-11i3−i3000000000000
χ3722-222-2-2-22000022-2-200002-22222-2-2-2-222000002-2000022-2-2000000002-2-222-2-200000000000000002-2000000000002-2002-20000
χ3822-222-2-2-22000022-2-200002-22222-2-2-2-222000002-2000022-2-2000000002-2-222-2-200000000000000002-200000000000-2200-220000
χ3922-222-2-2-22000022-2-200002-22222-2-2-2-2-2-2000002-2000022-2-200000000-222-2-2220000000000000000-22000000000002i−2i00−2i2i0000
χ4022-222-2-2-22000022-2-200002-22222-2-2-2-2-2-2000002-2000022-2-200000000-222-2-2220000000000000000-2200000000000−2i2i002i−2i0000
χ4122-22-22-2-22000022-2-20000-222222-2-2-2-22200000-220000-2-22200000000-22-222-2-20000000000000000-220000000002-2002-2000000
χ4222-22-22-2-22000022-2-20000-222222-2-2-2-22200000-220000-2-22200000000-22-222-2-20000000000000000-22000000000-2200-22000000
χ4322-22-22-2-22000022-2-20000-222222-2-2-2-2-2-200000-220000-2-222000000002-22-2-22200000000000000002-20000000002i−2i00−2i2i000000
χ4422-22-22-2-22000022-2-20000-222222-2-2-2-2-2-200000-220000-2-222000000002-22-2-22200000000000000002-2000000000−2i2i002i−2i000000
χ454444444444444-1-1-1-1444444-1-1-1-1-1-1-1-10044444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000
χ4644444444444-4-4-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-100-444-4-4-1-11111-1-1-1-1111111110000000-1-111-1-1-1-11111000000000000000000000000000
χ47444444444-4-444-1-1-1-1444444-1-1-1-1-1-1-1-100-4-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000111111111111000000000000000000000000000
χ48444444444-4-4-4-4-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-1004-4-444-1-11111-1-1-1-111111111000000011-1-11111-1-1-1-1000000000000000000000000000
χ494444-4-44444-400-1-1-1-10000-4-4-1-1-1-1-1-1-1-10004-40011−5−5551111−5−555−5−5550000000-11−55-1-111−55−55000000000000000000000000000
χ504444-4-44444-400-1-1-1-10000-4-4-1-1-1-1-1-1-1-10004-4001155−5−5111155−5−555−5−50000000-115−5-1-1115−55−5000000000000000000000000000
χ514444-4-4444-4400-1-1-1-10000-4-4-1-1-1-1-1-1-1-1000-440011−5−5551111−5−555−5−55500000001-15−511-1-15−55−5000000000000000000000000000
χ524444-4-4444-4400-1-1-1-10000-4-4-1-1-1-1-1-1-1-1000-44001155−5−5111155−5−555−5−500000001-1−5511-1-1−55−55000000000000000000000000000
χ53444-244-2-2-24444-1-1-1-1-2-2-2-2-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152004-2-2-2-2-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1520000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i152000000000000000000000000000
χ54444-244-2-2-24444-1-1-1-1-2-2-2-2-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152004-2-2-2-2-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1520000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i152000000000000000000000000000
χ55444-244-2-2-244-4-4-1-1-1-12222-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i15200-4-2-222-1-111111−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i1520000000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1−i152−1+i152000000000000000000000000000
χ56444-244-2-2-244-4-4-1-1-1-12222-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i15200-4-2-222-1-111111+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i1520000000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1+i152−1−i152000000000000000000000000000
χ57444-244-2-2-2-4-444-1-1-1-1-2-2-2-2-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i15200-42222-1-1-1-1-1-11−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i15200000001111−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152000000000000000000000000000
χ58444-244-2-2-2-4-444-1-1-1-1-2-2-2-2-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i15200-42222-1-1-1-1-1-11+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i15200000001111−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152000000000000000000000000000
χ59444-244-2-2-2-4-4-4-4-1-1-1-12222-2-21−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i15200422-2-2-1-111111−i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152000000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521+i1521−i152000000000000000000000000000
χ60444-244-2-2-2-4-4-4-4-1-1-1-12222-2-21+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i15200422-2-2-1-111111+i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152000000011-1-1−1−i152−1+i152−1−i152−1+i1521+i1521−i1521−i1521+i152000000000000000000000000000
χ61444-2-4-4-2-2-24-400-1-1-1-1−2i3−2i32i32i3221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152000-22−2i32i31155−5−5−1+i152−1−i152−1+i152−1−i152ζ14−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+ζ580000000-115−51−i1521+i152−1+i152−1−i152ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58000000000000000000000000000
χ62444-2-4-4-2-2-24-400-1-1-1-1−2i3−2i32i32i3221+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152000-22−2i32i311−5−555−1−i152−1+i152−1−i152−1+i152ζ2−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+ζ460000000-11−551+i1521−i152−1−i152−1+i152ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46000000000000000000000000000
χ63444-2-4-4-2-2-24-400-1-1-1-12i32i3−2i3−2i3221−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i152000-222i3−2i311−5−555−1+i152−1−i152−1+i152−1−i152−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−ζ580000000-11−551−i1521+i152−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58000000000000000000000000000
χ64444-2-4-4-2-2-24-400-1-1-1-12i32i3−2i3−2i3221+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i152000-222i3−2i31155−5−5−1−i152−1+i152−1−i152−1+i152−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−ζ460000000-115−51+i1521−i152−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.