Finite Group Databasebeta

← Group #14514379

Character table — Group #14514379

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111224444444455556666888888881010161616161616161616161616161616162424242430303030404040404040404060606060606060606060606060606060
order1244245101010202020202244224436661212121224151530303030303060606060606060601010202022446666121212124444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-1111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ411111111111111-1-1-1-1111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ51111-1-11-1-1111-1-111111-11-11-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1-111-111-1-111-1-111-1-111-1-111-1-111-1-1
χ61111-1-11-1-1111-1-111111-11-11-1-1111-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1-111-111-1-111-1-1-1-111-1-111-1-111-1-111
χ71111-1-11-1-1111-1-1-1-1-1-11-11-11-1-1111-1-11111-1-1-1-1111111-1-1-1-11-11-11-1-11-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ81111-1-11-1-1111-1-1-1-1-1-11-11-11-1-1111-1-11111-1-1-1-1111111-1-1-1-11-11-11-1-11-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ911-1-11-11111-1-1-1-111-1-1-1-1111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1i−ii−ii−ii−ii−ii−ii−ii−i
χ1011-1-11-11111-1-1-1-111-1-1-1-1111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1−ii−ii−ii−ii−ii−ii−ii−ii
χ1111-1-11-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-11-111-11-1-11-11
χ1211-1-11-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-111-11-1-11-111-11-1
χ1311-1-1-111-1-11-1-11111-1-1-111-11-1-11-1-111-1111-1-1-1-111-1-1-1-11111-111-11-11-111-1-1-1-111i−i−iii−i−iii−i−iii−i−ii
χ1411-1-1-111-1-11-1-11111-1-1-111-11-1-11-1-111-1111-1-1-1-111-1-1-1-11111-111-11-11-111-1-1-1-111−iii−i−iii−i−iii−i−iii−i
χ1511-1-1-111-1-11-1-111-1-111-111-11-1-11-1-1111-111-1-1-1-111-1-1-1-11111-111-1-11-11-1-11111-1-11-1-11-111-11-1-11-111-1
χ1611-1-1-111-1-11-1-111-1-111-111-11-1-11-1-1111-111-1-1-1-111-1-1-1-11111-111-1-11-11-1-11111-1-1-111-11-1-11-111-11-1-11
χ172222222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000000000000000
χ1822222222222222-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111110000000000000000
χ192222-2-22-2-2222-2-222222-22-2-111-1-1-111-2-2-1-11111-1-1-1-1-1-111112-22-2-222-2-1-111-1-1110000000000000000
χ202222-2-22-2-2222-2-2-2-2-2-22-22-2-111-1-1-11122-1-11111-1-1-1-1-1-111112-22-22-2-2211-1-111-1-10000000000000000
χ2122-2-22-22222-2-2-2-222-2-2-2-222-1-1-1-111112-2-1-1-1-1-1-1-1-111111111-2-222-2-222-1-1-1-111110000000000000000
χ2222-2-22-22222-2-2-2-2-2-222-2-222-1-1-1-11111-22-1-1-1-1-1-1-1-111111111-2-22222-2-21111-1-1-1-10000000000000000
χ2322-2-2-222-2-22-2-22222-2-2-222-2-111-111-1-1-22-1-11111-1-11111-1-1-1-1-222-22-22-2-1-11111-1-10000000000000000
χ2422-2-2-222-2-22-2-222-2-222-222-2-111-111-1-12-2-1-11111-1-11111-1-1-1-1-222-2-22-2211-1-1-1-1110000000000000000
χ25333333333333333333-1-1-1-100000000330000000000000000-1-1-1-1-1-1-1-10000000011111111-1-1-1-1-1-1-1-1
χ26333333333333333333-1-1-1-100000000330000000000000000-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-111111111
χ2733333333333333-3-3-3-3-1-1-1-100000000-3-30000000000000000-1-1-1-1111100000000iiii−i−i−i−i−i−i−i−iiiii
χ2833333333333333-3-3-3-3-1-1-1-100000000-3-30000000000000000-1-1-1-1111100000000−i−i−i−iiiiiiiii−i−i−i−i
χ293333-3-33-3-3333-3-33333-11-1100000000-3-30000000000000000-11-111-1-110000000011-1-111-1-1-1-111-1-111
χ303333-3-33-3-3333-3-33333-11-1100000000-3-30000000000000000-11-111-1-1100000000-1-111-1-11111-1-111-1-1
χ313333-3-33-3-3333-3-3-3-3-3-3-11-1100000000330000000000000000-11-11-111-100000000ii−i−i−i−iii−i−iiiii−i−i
χ323333-3-33-3-3333-3-3-3-3-3-3-11-1100000000330000000000000000-11-11-111-100000000−i−iiiii−i−iii−i−i−i−iii
χ3333-3-33-33333-3-3-3-333-3-311-1-1000000003-3000000000000000011-1-111-1-100000000i−ii−ii−ii−i−ii−ii−ii−ii
χ3433-3-33-33333-3-3-3-333-3-311-1-1000000003-3000000000000000011-1-111-1-100000000−ii−ii−ii−iii−ii−ii−ii−i
χ3533-3-33-33333-3-3-3-3-3-33311-1-100000000-33000000000000000011-1-1-1-111000000001-11-1-11-11-11-111-11-1
χ3633-3-33-33333-3-3-3-3-3-33311-1-100000000-33000000000000000011-1-1-1-11100000000-11-111-11-11-11-1-11-11
χ3733-3-3-333-3-33-3-33333-3-31-1-1100000000-3300000000000000001-1-11-11-1100000000i−i−iii−i−ii−iii−i−iii−i
χ3833-3-3-333-3-33-3-33333-3-31-1-1100000000-3300000000000000001-1-11-11-1100000000−iii−i−iii−ii−i−iii−i−ii
χ3933-3-3-333-3-33-3-333-3-3331-1-11000000003-300000000000000001-1-111-11-1000000001-1-11-111-1-111-11-1-11
χ4033-3-3-333-3-33-3-333-3-3331-1-11000000003-300000000000000001-1-111-11-100000000-111-11-1-111-1-11-111-1
χ41444444-1-1-1-1-1-1-1-1000044444444444400-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ42444444-1-1-1-1-1-1-1-100004444-2-2-2-2-2-2-2-2001−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-1-1-1-10000000000000000000000000000
χ43444444-1-1-1-1-1-1-1-100004444-2-2-2-2-2-2-2-2001+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-1-1-1-10000000000000000000000000000
χ444444-4-4-111-1-1-11100004-44-44-4-4444-4-400-1-11111-1-1-1-1-1-11111-11-110000000000000000000000000000
χ454444-4-4-111-1-1-11100004-44-4-222-2-2-222001−i1521+i152−1+i152−1+i152−1−i152−1−i1521−i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152-11-110000000000000000000000000000
χ464444-4-4-111-1-1-11100004-44-4-222-2-2-222001+i1521−i152−1−i152−1−i152−1+i152−1+i1521+i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152-11-110000000000000000000000000000
χ4744-4-44-4-1-1-1-111110000-4-4444444-4-4-4-400-1-1-1-1-1-1-1-11111111111-1-10000000000000000000000000000
χ4844-4-44-4-1-1-1-111110000-4-444-2-2-2-22222001−i1521+i1521−i1521−i1521+i1521+i1521−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i15211-1-10000000000000000000000000000
χ4944-4-44-4-1-1-1-111110000-4-444-2-2-2-22222001+i1521−i1521+i1521+i1521−i1521−i1521+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i15211-1-10000000000000000000000000000
χ5044-4-4-44-111-111-1-10000-444-44-4-44-4-44400-1-11111-1-11111-1-1-1-11-1-110000000000000000000000000000
χ5144-4-4-44-111-111-1-10000-444-4-222-222-2-2001−i1521+i152−1+i152−1+i152−1−i152−1−i1521−i1521+i152−1+i152−1+i152−1−i152−1−i1521−i1521−i1521+i1521+i1521-1-110000000000000000000000000000
χ5244-4-4-44-111-111-1-10000-444-4-222-222-2-2001+i1521−i152−1−i152−1−i152−1+i152−1+i1521+i1521−i152−1−i152−1−i152−1+i152−1+i1521+i1521+i1521−i1521−i1521-1-110000000000000000000000000000
χ534-44i−4i00400-44i−4i004-44i−4i00001−i3i3-1i−i3−30011−i3i3−i3i3-1-1i−ii−i3−33−3000000001-1−i3i3i−i3−30000000000000000
χ544-44i−4i00400-44i−4i004-44i−4i00001i3−i3-1i−i−330011i3−i3i3−i3-1-1i−ii−i−33−33000000001-1i3−i3i−i−330000000000000000
χ554-44i−4i00400-44i−4i004-44i−4i0000-2002−2i2i0000-2-2000022−2i2i−2i2i000000000000-2200−2i2i000000000000000000
χ564-44i−4i00400-44i−4i00-44−4i4i00001−i3i3-1i−i3−30011−i3i3−i3i3-1-1i−ii−i3−33−300000000-11i3−i3−ii−330000000000000000
χ574-44i−4i00400-44i−4i00-44−4i4i00001i3−i3-1i−i−330011i3−i3i3−i3-1-1i−ii−i−33−3300000000-11−i3i3−ii3−30000000000000000
χ584-44i−4i00400-44i−4i00-44−4i4i0000-2002−2i2i0000-2-2000022−2i2i−2i2i0000000000002-2002i−2i000000000000000000
χ594-4−4i4i00400-4−4i4i004-4−4i4i00001−i3i3-1−ii−330011−i3i3−i3i3-1-1−ii−ii−33−33000000001-1−i3i3−ii−330000000000000000
χ604-4−4i4i00400-4−4i4i004-4−4i4i00001i3−i3-1−ii3−30011i3−i3i3−i3-1-1−ii−ii3−33−3000000001-1i3−i3−ii3−30000000000000000
χ614-4−4i4i00400-4−4i4i004-4−4i4i0000-20022i−2i0000-2-20000222i−2i2i−2i000000000000-22002i−2i000000000000000000
χ624-4−4i4i00400-4−4i4i00-444i−4i00001−i3i3-1−ii−330011−i3i3−i3i3-1-1−ii−ii−33−3300000000-11i3−i3i−i3−30000000000000000
χ634-4−4i4i00400-4−4i4i00-444i−4i00001i3−i3-1−ii3−30011i3−i3i3−i3-1-1−ii−ii3−33−300000000-11−i3i3i−i−330000000000000000
χ644-4−4i4i00400-4−4i4i00-444i−4i0000-20022i−2i0000-2-20000222i−2i2i−2i0000000000002-200−2i2i000000000000000000
χ658-88i−8i00-2−25252−2i2i−2i52i5000000002−2i32i3-22i−2i23−2300−1−i152−1+i152ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ581+i1521−i152−ζ19−ζ23−ζ31−ζ47ζ19+ζ23+ζ31+ζ47−ζ7−ζ11−ζ43−ζ59ζ7+ζ11+ζ43+ζ59ζ19−ζ23+ζ31−ζ47−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59−ζ7+ζ11−ζ43+ζ5900000000000000000000000000000000
χ668-88i−8i00-2−25252−2i2i−2i52i50000000022i3−2i3-22i−2i−232300−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ461−i1521+i152−ζ7−ζ11−ζ43−ζ59ζ7+ζ11+ζ43+ζ59−ζ19−ζ23−ζ31−ζ47ζ19+ζ23+ζ31+ζ47−ζ7+ζ11−ζ43+ζ59ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47ζ19−ζ23+ζ31−ζ4700000000000000000000000000000000
χ678-88i−8i00-2−25252−2i2i−2i52i500000000-4004−4i4i000011−555−5-1-1i−ii−i−i5i5i5−i500000000000000000000000000000000
χ688-88i−8i00-225−252−2i2i2i5−2i5000000002−2i32i3-22i−2i23−2300−1+i152−1−i152ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ461−i1521+i152−ζ7−ζ11−ζ43−ζ59ζ7+ζ11+ζ43+ζ59−ζ19−ζ23−ζ31−ζ47ζ19+ζ23+ζ31+ζ47ζ7−ζ11+ζ43−ζ59−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47−ζ19+ζ23−ζ31+ζ4700000000000000000000000000000000
χ698-88i−8i00-225−252−2i2i2i5−2i50000000022i3−2i3-22i−2i−232300−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ581+i1521−i152−ζ19−ζ23−ζ31−ζ47ζ19+ζ23+ζ31+ζ47−ζ7−ζ11−ζ43−ζ59ζ7+ζ11+ζ43+ζ59−ζ19+ζ23−ζ31+ζ47ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59ζ7−ζ11+ζ43−ζ5900000000000000000000000000000000
χ708-88i−8i00-225−252−2i2i2i5−2i500000000-4004−4i4i0000115−5−55-1-1i−ii−ii5−i5−i5i500000000000000000000000000000000
χ718-8−8i8i00-2−252522i−2i2i5−2i5000000002−2i32i3-2−2i2i−232300−1−i152−1+i152ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ581+i1521−i152ζ19+ζ23+ζ31+ζ47−ζ19−ζ23−ζ31−ζ47ζ7+ζ11+ζ43+ζ59−ζ7−ζ11−ζ43−ζ59−ζ19+ζ23−ζ31+ζ47ζ19−ζ23+ζ31−ζ47−ζ7+ζ11−ζ43+ζ59ζ7−ζ11+ζ43−ζ5900000000000000000000000000000000
χ728-8−8i8i00-2−252522i−2i2i5−2i50000000022i3−2i3-2−2i2i23−2300−1+i152−1−i152−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ461−i1521+i152ζ7+ζ11+ζ43+ζ59−ζ7−ζ11−ζ43−ζ59ζ19+ζ23+ζ31+ζ47−ζ19−ζ23−ζ31−ζ47ζ7−ζ11+ζ43−ζ59−ζ7+ζ11−ζ43+ζ59ζ19−ζ23+ζ31−ζ47−ζ19+ζ23−ζ31+ζ4700000000000000000000000000000000
χ738-8−8i8i00-2−252522i−2i2i5−2i500000000-40044i−4i000011−555−5-1-1−ii−iii5−i5−i5i500000000000000000000000000000000
χ748-8−8i8i00-225−2522i−2i−2i52i5000000002−2i32i3-2−2i2i−232300−1+i152−1−i152ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ461−i1521+i152ζ7+ζ11+ζ43+ζ59−ζ7−ζ11−ζ43−ζ59ζ19+ζ23+ζ31+ζ47−ζ19−ζ23−ζ31−ζ47−ζ7+ζ11−ζ43+ζ59ζ7−ζ11+ζ43−ζ59−ζ19+ζ23−ζ31+ζ47ζ19−ζ23+ζ31−ζ4700000000000000000000000000000000
χ758-8−8i8i00-225−2522i−2i−2i52i50000000022i3−2i3-2−2i2i23−2300−1−i152−1+i152−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ581+i1521−i152ζ19+ζ23+ζ31+ζ47−ζ19−ζ23−ζ31−ζ47ζ7+ζ11+ζ43+ζ59−ζ7−ζ11−ζ43−ζ59ζ19−ζ23+ζ31−ζ47−ζ19+ζ23−ζ31+ζ47ζ7−ζ11+ζ43−ζ59−ζ7+ζ11−ζ43+ζ5900000000000000000000000000000000
χ768-8−8i8i00-225−2522i−2i−2i52i500000000-40044i−4i0000115−5−55-1-1−ii−ii−i5i5i5−i500000000000000000000000000000000
χ77121212121212-3-3-3-3-3-3-3-30000-4-4-4-40000000000000000000000000011110000000000000000000000000000
χ7812121212-12-12-333-3-3-3330000-44-44000000000000000000000000001-11-10000000000000000000000000000
χ791212-12-1212-12-3-3-3-33333000044-4-400000000000000000000000000-1-1110000000000000000000000000000
χ801212-12-12-1212-333-333-3-300004-4-4400000000000000000000000000-111-10000000000000000000000000000

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