Finite Group Databasebeta

← Group #14284405

Character table — Group #14284405

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222224444444444444444444444444444448888888888888888888888888888888888888888881010101020202020202020202020404040404040120120120120120120120120
order1222344666121212124451010101212121215152020202030303030303060606060606060604412121212202020202020202020202020606060606060606060606060606060606060606060606060444424661212121212122466121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii
χ811111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−i
χ911111-1-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-111-1-11-11-11-11-1
χ1011111-1-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-111-1-1-11-11-11-11
χ1111111-1-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-111i−ii−i−ii−ii
χ1211111-1-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-111−ii−iii−ii−i
χ1311111-1-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-11-1-1111-1-111-1-11
χ1411111-1-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-11-1-111-111-1-111-1
χ1511111-1-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11-111-1-1i−i−ii−iii−i
χ1611111-1-1111-1-1-1-11-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11-111-1-1−iii−ii−i−ii
χ1722222222222222-2-22222-2-2-2-222222222222222222222000000-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-2-22-2-22222-2-200000000000000
χ1822222222222222-2-22222-2-2-2-222222222222222222222000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2222-222-2-2-2-22200000000000000
χ1922222-2-2222-2-2-2-2-222222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2000000-2-22200000000-2-2-2-22222000000000000000022-2-22-22222-2-2-2-200000000000000
χ2022222-2-2222-2-2-2-2-222222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2000000-2-22200000000-2-2-2-222220000000000000000-2-222-22-2-2-2-2222200000000000000
χ212222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-100000000
χ222222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2111100000000
χ232222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222222-1-1-1-1-1-1-1-1-2-2111100000000
χ242222-122-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-21111111122-1-1-1-100000000
χ252222-122-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i3-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-2-2-2211-1-1-1-11100−i3i3−i3i300000000
χ262222-122-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i3-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2222-2-1-11111-1-100i3−i3i3−i300000000
χ272222-122-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i3-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-2-2-2211-1-1-1-11100i3−i3i3−i300000000
χ282222-122-1-1-1-1-1-1-1-2-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i3-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2222-2-1-11111-1-100−i3i3−i3i300000000
χ292222-1-2-2-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112-2-1-11122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112222-2-211-1-111-1-12-2-1-11100000000
χ302222-1-2-2-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112-2-1-11122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-2-2-222-1-111-1-111-2211-1-100000000
χ312222-1-2-2-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2211-1-122-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-12222-2-211-1-111-1-1-2211-1-100000000
χ322222-1-2-2-1-1-111112-22222-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2211-1-122-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-2-2-222-1-111-1-1112-2-1-11100000000
χ332222-1-2-2-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100−i3i3i3−i3-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i322-2-22-2-1-1-1-1111100−i3i3i3−i300000000
χ342222-1-2-2-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100−i3i3i3−i3-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2-222-221111-1-1-1-100i3−i3−i3i300000000
χ352222-1-2-2-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100i3−i3−i3i3-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i322-2-22-2-1-1-1-1111100i3−i3−i3i300000000
χ362222-1-2-2-1-1-11111-22222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100i3−i3−i3i3-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2-222-221111-1-1-1-100−i3i3i3−i300000000
χ374444444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ384444444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-4-4-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000
χ3944444444444444-4-4-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000001111−5−555−5−55511111111−5−555−5−555−5−555−5−5550000000000000000000000000000
χ4044444444444444-4-4-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111155−5−555−5−51111111155−5−555−5−555−5−555−5−50000000000000000000000000000
χ4144444-4-4444-4-4-4-44-4-1-1-1-144-4-4-1-11111-1-1-1-1-1-1111111114-444-4-4-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000000000000000
χ4244444-4-4444-4-4-4-44-4-1-1-1-144-4-4-1-11111-1-1-1-1-1-111111111-44-4-444-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000000000000000
χ4344444-4-4444-4-4-4-4-44-1-1-1-1-4-444-1-11111-1-1-1-1-1-11111111100000011-1-1−5−55555−5−51111-1-1-1-1−5−555−5−55555−5−555−5−50000000000000000000000000000
χ4444444-4-4444-4-4-4-4-44-1-1-1-1-4-444-1-11111-1-1-1-1-1-11111111100000011-1-155−5−5−5−5551111-1-1-1-155−5−555−5−5−5−555−5−5550000000000000000000000000000
χ454444-244-2-2-2-2-2-2-244-1-1-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1520000000000000000000000000000
χ464444-244-2-2-2-2-2-2-244-1-1-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i152-4-42222-1-1-1-1111111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i1520000000000000000000000000000
χ474444-244-2-2-2-2-2-2-244-1-1-1-1-2-2-2-21+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1520000000000000000000000000000
χ484444-244-2-2-2-2-2-2-244-1-1-1-1-2-2-2-21+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i152-4-42222-1-1-1-1111111111+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i1520000000000000000000000000000
χ494444-244-2-2-2-2-2-2-2-4-4-1-1-1-122221−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i15200−2i32i3−2i32i3111155−5−555−5−5−1+i152−1+i152−1−i152−1−i152−1+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+ζ58ζ14−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+ζ580000000000000000000000000000
χ504444-244-2-2-2-2-2-2-2-4-4-1-1-1-122221−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i152002i3−2i32i3−2i31111−5−555−5−555−1+i152−1+i152−1−i152−1−i152−1+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−ζ58−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−ζ580000000000000000000000000000
χ514444-244-2-2-2-2-2-2-2-4-4-1-1-1-122221+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i15200−2i32i3−2i32i31111−5−555−5−555−1−i152−1−i152−1+i152−1+i152−1−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+ζ46ζ2−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+ζ460000000000000000000000000000
χ524444-244-2-2-2-2-2-2-2-4-4-1-1-1-122221+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i152002i3−2i32i3−2i3111155−5−555−5−5−1−i152−1−i152−1+i152−1+i152−1−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−ζ46−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−ζ460000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.