Finite Group Databasebeta

← Group #14277356

Character table — Group #14277356

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222224444444444444444444444444444448888888888888888888888888888888888888888881010101020202020202020202020404040404040120120120120120120120120
order1222223666666622566661010101010101015153030303030303030303030303030441010101012121212202020202020202030303030303030306060606060606060606060606060606022222266666666441212121244444444
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
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111ii−i−i−i−iii
χ811111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−iiiii−i−i
χ91111-1-11111-1-1-1-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-11111-1-1-1-1i−iii−i−i1-1i−i1-1i−i
χ101111-1-11111-1-1-1-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-11111-1-1-1-1i−iii−i−i-11−ii-11−ii
χ111111-1-11111-1-1-1-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11-1-1-1-11111−ii−i−iiii−i-11−ii1-1
χ121111-1-11111-1-1-1-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11-1-1-1-11111−ii−i−iii−ii1-1i−i-11
χ131111-1-11111-1-1-1-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-11111-1-1-1-1−ii−i−iii1-1−ii1-1−ii
χ141111-1-11111-1-1-1-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-11111-1-1-1-1−ii−i−iii-11i−i-11i−i
χ151111-1-11111-1-1-1-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11-1-1-1-11111i−iii−i−ii−i1-1−ii-11
χ161111-1-11111-1-1-1-11-1111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11-1-1-1-11111i−iii−i−i−ii-11i−i1-1
χ1722222222222222-2-22-2-2-2-22222222222222222222222200-2-2-2-2000000000000-2-2-2-2-2-2-2-2000000000000000022-2-2-2222-2-222-2-200000000000000
χ1822222222222222-2-22-2-2-2-22222222222222222222222200-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000000000000-2-2222-2-2-222-2-22200000000000000
χ19222222-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-100000000
χ20222222-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2-2111100000000
χ21222222-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111222222-1-1-1-1-1-1-1-1-2-2111100000000
χ22222222-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-21111111122-1-1-1-100000000
χ23222222-1-1-1-1-1-1-1-1-2-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2−i3i3−i3i30000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-2-2-22-1-111-1-11100−i3i3−i3i300000000
χ24222222-1-1-1-1-1-1-1-1-2-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2−i3i3−i3i30000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-2222-211-1-111-1-100i3−i3i3−i300000000
χ25222222-1-1-1-1-1-1-1-1-2-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2i3−i3i3−i30000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-2-2-22-1-111-1-11100i3−i3i3−i300000000
χ26222222-1-1-1-1-1-1-1-1-2-2211112222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2i3−i3i3−i30000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-2222-211-1-111-1-100−i3i3−i3i300000000
χ272222-2-22222-2-2-2-2-222-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-200-2-222000000000000-2-2-2-2222200000000000000002222-2-222-2-2-2-22200000000000000
χ282222-2-22222-2-2-2-2-222-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-200-2-222000000000000-2-2-2-222220000000000000000-2-2-2-222-2-22222-2-200000000000000
χ292222-2-2-1-1-1-111112-22-1-111222-2-2-2-2-1-1-1-1-1-1-1-1111111112i−2i22-2-2−i−iii2i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii22-2-22-2-1-1-1-111112i−2i−i−iii00000000
χ302222-2-2-1-1-1-111112-22-1-111222-2-2-2-2-1-1-1-1-1-1-1-1111111112i−2i22-2-2−i−iii2i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-2-222-221111-1-1-1-1−2i2iii−i−i00000000
χ312222-2-2-1-1-1-111112-22-1-111222-2-2-2-2-1-1-1-1-1-1-1-111111111−2i2i22-2-2ii−i−i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i22-2-22-2-1-1-1-11111−2i2iii−i−i00000000
χ322222-2-2-1-1-1-111112-22-1-111222-2-2-2-2-1-1-1-1-1-1-1-111111111−2i2i22-2-2ii−i−i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-2-222-221111-1-1-1-12i−2i−i−iii00000000
χ332222-2-2-1-1-1-11111-22211-1-1222-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-2223−3−33000000001111-1-1-1-13333−3−3−3−3−3−3−3−333332222-2-2-1-11111-1-1003−3−3300000000
χ342222-2-2-1-1-1-11111-22211-1-1222-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-2223−3−33000000001111-1-1-1-13333−3−3−3−3−3−3−3−33333-2-2-2-22211-1-1-1-11100−333−300000000
χ352222-2-2-1-1-1-11111-22211-1-1222-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-222−333−3000000001111-1-1-1-1−3−3−3−333333333−3−3−3−32222-2-2-1-11111-1-100−333−300000000
χ362222-2-2-1-1-1-11111-22211-1-1222-2-2-2-2-1-1-1-1-1-1-1-11111111100-2-222−333−3000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3-2-2-2-22211-1-1-1-111003−3−3300000000
χ374444444444444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-144-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ384444444444444444-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-1-1-1-1-4-4-4-411111111-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000
χ3944444444444444-4-4-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10011110000−5−555−5−55511111111−5−555−5−555−5−555−5−5550000000000000000000000000000
χ4044444444444444-4-4-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1001111000055−5−555−5−51111111155−5−555−5−555−5−555−5−50000000000000000000000000000
χ41444444-2-2-2-2-2-2-2-244-1-2-2-2-2-1-1-1-1-1-1-11−i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i15244-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1520000000000000000000000000000
χ42444444-2-2-2-2-2-2-2-244-1-2-2-2-2-1-1-1-1-1-1-11−i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-4-4-1-1-1-12222111111111−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
χ43444444-2-2-2-2-2-2-2-244-1-2-2-2-2-1-1-1-1-1-1-11+i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i15244-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1520000000000000000000000000000
χ44444444-2-2-2-2-2-2-2-244-1-2-2-2-2-1-1-1-1-1-1-11+i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-4-4-1-1-1-12222111111111+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
χ45444444-2-2-2-2-2-2-2-2-4-4-12222-1-1-1-1-1-1-11−i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152001111−2i32i3−2i32i355−5−555−5−5−1+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
χ46444444-2-2-2-2-2-2-2-2-4-4-12222-1-1-1-1-1-1-11−i1521+i1521−i1521−i1521−i1521+i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1520011112i3−2i32i3−2i3−5−555−5−555−1+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
χ47444444-2-2-2-2-2-2-2-2-4-4-12222-1-1-1-1-1-1-11+i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152001111−2i32i3−2i32i3−5−555−5−555−1−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
χ48444444-2-2-2-2-2-2-2-2-4-4-12222-1-1-1-1-1-1-11+i1521−i1521+i1521+i1521+i1521−i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1520011112i3−2i32i3−2i355−5−555−5−5−1−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
χ494444-4-44444-4-4-4-44-4-144-4-4-1-1-11111-1-1-1-1-1-1-1-1111111114i−4i-1-1114i4i−4i−4i−i−i−i−iiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000000000000000
χ504444-4-44444-4-4-4-44-4-144-4-4-1-1-11111-1-1-1-1-1-1-1-111111111−4i4i-1-111−4i−4i4i4iiiii−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000000000000000
χ514444-4-44444-4-4-4-4-44-1-4-444-1-1-11111-1-1-1-1-1-1-1-1111111110011-1-10000−i5−i5i5i5i5i5−i5−i51111-1-1-1-1−i5−i5i5i5−i5−i5i5i5i5i5−i5−i5i5i5−i5−i50000000000000000000000000000
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χ10888-8-800-4-4444i3−4i34i3−4i300-20000-22225−2525−251+i151−i151+i15−1−i15−1−i151−i15−1+i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ580000000000000000000000000000000000000000000000000000000000000000000000
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χ1128-88-800-44-44−4i34i34i3−4i300-200002-2225−25−25251+i151−i15−1−i151+i15−1−i15−1+i151−i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ580000000000000000000000000000000000000000000000000000000000000000000000
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χ1148-88-800-44-444i3−4i3−4i34i300-200002-2225−25−25251−i151+i15−1+i151−i15−1+i15−1−i151+i15−1−i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ460000000000000000000000000000000000000000000000000000000000000000000000

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