Finite Group Databasebeta

← Group #14298421

Character table — Group #14298421

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444448888888888888888888888101010101212121220202020202024242424242424243030303040404040404040404040404040406060120120120120
order122222366644566101010101010101212152020202030303030303030606060606060606044442244441212121210101010202020204444888812122424242424242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1ii−i−i
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1−i−iii
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i-1-1iiii−i−i−i−i11−i−iii
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii-1-1−i−i−i−iiiii11ii−i−i
χ91111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111111-11-1-1-111-1-111-1-1-1-11-11-1
χ101111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1-11-11
χ111111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1-111-11-11
χ121111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1-1-111-1-111111-11-1
χ131111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1i−i−ii11ii−i−i−i−iii11i−i−ii
χ141111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1−iii−i11−i−iiiii−i−i11−iii−i
χ151111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111i−i−ii11ii−i−i−i−iii-1-1−iii−i
χ161111111111-1-11111111111-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−iii−i11−i−iiiii−i−i-1-1i−i−ii
χ17222222-1-1-1-1222-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-10000000000002222-1-1-1-1-1-1-1-1-1-1000000
χ18222222-1-1-1-1222-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1000000000000-2-2-2-2-1-111111111000000
χ19222222-1-1-1-1222-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211110000000000002i2i−2i−2i11−i−i−i−iiiii000000
χ20222222-1-1-1-1222-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-21111000000000000−2i−2i2i2i11iiii−i−i−i−i000000
χ21222222-1-1-1-1-2-22-1-1222222211-1-2-2-2-2-1-1-1-1-1-1-11111111122220000-2-2-1-1-1-10000000000002-22-211-1-111-1-111000000
χ22222222-1-1-1-1-2-22-1-1222222211-1-2-2-2-2-1-1-1-1-1-1-11111111122220000-2-2-1-1-1-1000000000000-22-221111-1-111-1-1000000
χ23222222-1-1-1-1-2-22-1-1222222211-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-200002211110000000000002i−2i−2i2i-1-1−i−iiiii−i−i000000
χ24222222-1-1-1-1-2-22-1-1222222211-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-20000221111000000000000−2i2i2i−2i-1-1ii−i−i−i−iii000000
χ252222-2-22222002-2-22-2-2-2-222002000022-2-2-2-22000000002-22-22-200002-22-222-2-2000022-2-200000000000000000000
χ262222-2-22222002-2-22-2-2-2-222002000022-2-2-2-22000000002-22-2-2200002-22-2-2-2220000-2-22200000000000000000000
χ272222-2-22222002-2-22-2-2-2-222002000022-2-2-2-2200000000-22-222-20000-22-2222-2-20000-2-22200000000000000000000
χ282222-2-22222002-2-22-2-2-2-222002000022-2-2-2-2200000000-22-22-220000-22-22-2-222000022-2-200000000000000000000
χ292-2-222-22-22-20022-2222-2-2-2-200200002-222-2-2-20000000022-2-2002i−2i00-2-22200002i2i−2i−2i0000000000000000002i−2i0000
χ302-2-222-22-22-20022-2222-2-2-2-200200002-222-2-2-20000000022-2-200−2i2i00-2-2220000−2i−2i2i2i000000000000000000−2i2i0000
χ312-2-222-22-22-20022-2222-2-2-2-200200002-222-2-2-200000000-2-222002i−2i0022-2-200002i2i−2i−2i000000000000000000−2i2i0000
χ322-2-222-22-22-20022-2222-2-2-2-200200002-222-2-2-200000000-2-22200−2i2i0022-2-20000−2i−2i2i2i0000000000000000002i−2i0000
χ332-2-22-222-22-22i−2i2-222-2-222-2-22i−2i22i2i−2i−2i2-2-2-222-22i2i2i2i−2i−2i−2i−2i2-2-2200002i−2i-222-200000000000000002i−2i00000000000000
χ342-2-22-222-22-22i−2i2-222-2-222-2-22i−2i22i2i−2i−2i2-2-2-222-22i2i2i2i−2i−2i−2i−2i-222-20000−2i2i2-2-220000000000000000−2i2i00000000000000
χ352-2-22-222-22-2−2i2i2-222-2-222-2-2−2i2i2−2i−2i2i2i2-2-2-222-2−2i−2i−2i−2i2i2i2i2i2-2-220000−2i2i-222-20000000000000000−2i2i00000000000000
χ362-2-22-222-22-2−2i2i2-222-2-222-2-2−2i2i2−2i−2i2i2i2-2-2-222-2−2i−2i−2i−2i2i2i2i2i-222-200002i−2i2-2-2200000000000000002i−2i00000000000000
χ372-2-22-22-11-112i−2i21-12-2-222-2-2−ii-12i2i−2i−2i-1111-1-11−i−i−i−iiiii2-2-2200002i−2i1-1-110000000000000000−ii−i3i33−3−i3i33−3000000
χ382-2-22-22-11-112i−2i21-12-2-222-2-2−ii-12i2i−2i−2i-1111-1-11−i−i−i−iiiii2-2-2200002i−2i1-1-110000000000000000−iii3−i3−33i3−i3−33000000
χ392-2-22-22-11-112i−2i21-12-2-222-2-2−ii-12i2i−2i−2i-1111-1-11−i−i−i−iiiii-222-20000−2i2i-111-10000000000000000i−i3−3i3−i3−33−i3i3000000
χ402-2-22-22-11-112i−2i21-12-2-222-2-2−ii-12i2i−2i−2i-1111-1-11−i−i−i−iiiii-222-20000−2i2i-111-10000000000000000i−i−33−i3i33−3i3−i3000000
χ412-2-22-22-11-11−2i2i21-12-2-222-2-2i−i-1−2i−2i2i2i-1111-1-11iiii−i−i−i−i2-2-220000−2i2i1-1-110000000000000000i−i−i3i3−33−i3i3−33000000
χ422-2-22-22-11-11−2i2i21-12-2-222-2-2i−i-1−2i−2i2i2i-1111-1-11iiii−i−i−i−i2-2-220000−2i2i1-1-110000000000000000i−ii3−i33−3i3−i33−3000000
χ432-2-22-22-11-11−2i2i21-12-2-222-2-2i−i-1−2i−2i2i2i-1111-1-11iiii−i−i−i−i-222-200002i−2i-111-10000000000000000−ii3−3−i3i3−33i3−i3000000
χ442-2-22-22-11-11−2i2i21-12-2-222-2-2i−i-1−2i−2i2i2i-1111-1-11iiii−i−i−i−i-222-200002i−2i-111-10000000000000000−ii−33i3−i33−3−i3i3000000
χ45444444444444-144-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100004444000000-1-1-1-1-1-1-1-1000000000000000000000000
χ46444444444444-144-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4-4-4-400000011111111000000000000000000000000
χ474444444444-4-4-144-1-1-1-1-1-1-1-4-4-11111-1-1-1-1-1-1-111111111000044-4-4000000-1-1-1-11111000000000000000000000000
χ484444444444-4-4-144-1-1-1-1-1-1-1-4-4-11111-1-1-1-1-1-1-1111111110000-4-4440000001111-1-1-1-1000000000000000000000000
χ494444-4-4444400-1-4-4-11111-1-100-1−55−55-1-11111-1−5−555−5−55500004-400000000-1-111−55−55000000000000000000000000
χ504444-4-4444400-1-4-4-11111-1-100-1−55−55-1-11111-1−5−555−5−5550000-440000000011-1-15−55−5000000000000000000000000
χ514444-4-4444400-1-4-4-11111-1-100-15−55−5-1-11111-155−5−555−5−500004-400000000-1-1115−55−5000000000000000000000000
χ524444-4-4444400-1-4-4-11111-1-100-15−55−5-1-11111-155−5−555−5−50000-440000000011-1-1−55−55000000000000000000000000
χ534444-4-4-2-2-2-2004224-4-4-4-44400-20000-2-22222-2000000004-44-4000000-22-2200000000000000000000000000000000
χ544444-4-4-2-2-2-2004224-4-4-4-44400-20000-2-22222-200000000-44-440000002-22-200000000000000000000000000000000
χ5544-4-4004-4-4400400-400004-40040000-4-400004000000000000000000000000000000004i−4i00000000000000000000
χ5644-4-4004-4-4400400-400004-40040000-4-40000400000000000000000000000000000000−4i4i00000000000000000000
χ574-44-40044-4-400400-40000-440040000-440000-40000000000000000000000000000004i−4i0000000000000000000000
χ584-44-40044-4-400400-40000-440040000-440000-4000000000000000000000000000000−4i4i0000000000000000000000
χ594-4-444-44-44-400-14-4-1-1-1111100-1−i5i5i5−i5-11-1-1111−i5−i5i5i5i5i5−i5−i50000004i−4i000000−55−55−i−iii000000000000000000000000
χ604-4-444-44-44-400-14-4-1-1-1111100-1−i5i5i5−i5-11-1-1111−i5−i5i5i5i5i5−i5−i5000000−4i4i0000005−55−5ii−i−i000000000000000000000000
χ614-4-444-44-44-400-14-4-1-1-1111100-1i5−i5−i5i5-11-1-1111i5i5−i5−i5−i5−i5i5i50000004i−4i0000005−55−5−i−iii000000000000000000000000
χ624-4-444-44-44-400-14-4-1-1-1111100-1i5−i5−i5i5-11-1-1111i5i5−i5−i5−i5−i5i5i5000000−4i4i000000−55−55ii−i−i000000000000000000000000
χ634-4-444-4-22-22004-22444-4-4-4-400-20000-22-2-22220000000044-4-400000022-2-200000000000000000000000000000000
χ644-4-444-4-22-22004-22444-4-4-4-400-20000-22-2-222200000000-4-444000000-2-22200000000000000000000000000000000
χ654-4-44-444-44-44i−4i-1-44-111-1-1114i−4i-1−i−iii-1111-1-11−i−i−i−iiiii00000000000000−555−5−i5i5i5−i5000000000000000000000000
χ664-4-44-444-44-44i−4i-1-44-111-1-1114i−4i-1−i−iii-1111-1-11−i−i−i−iiiii000000000000005−5−55i5−i5−i5i5000000000000000000000000
χ674-4-44-444-44-4−4i4i-1-44-111-1-111−4i4i-1ii−i−i-1111-1-11iiii−i−i−i−i00000000000000−555−5i5−i5−i5i5000000000000000000000000
χ684-4-44-444-44-4−4i4i-1-44-111-1-111−4i4i-1ii−i−i-1111-1-11iiii−i−i−i−i000000000000005−5−55−i5i5i5−i5000000000000000000000000
χ69888888-4-4-4-488-2-4-4-2-2-2-2-2-2-2-4-41-2-2-2-21111111111111110000000000000000000000000000000000000000000000
χ70888888-4-4-4-4-8-8-2-4-4-2-2-2-2-2-2-244122221111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ718888-8-8-4-4-4-400-244-22222-2-2001−2525−252511-1-1-1-1155−5−555−5−50000000000000000000000000000000000000000000000
χ728888-8-8-4-4-4-400-244-22222-2-200125−2525−2511-1-1-1-11−5−555−5−5550000000000000000000000000000000000000000000000
χ7388-8-8008-8-8800-2002−2525−2525-2200-2000022−2525−2525-2000000000000000000000000000000000000000000000000000000
χ7488-8-8008-8-8800-200225−2525−25-2200-200002225−2525−25-2000000000000000000000000000000000000000000000000000000
χ7588-8-800-444-400800-800008-800-40000440000-4000000000000000000000000000000000000000000000000000000
χ7688-8-800-444-400-2002−2525−2525-220010000-1-15−55−51ζ2+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+ζ580000000000000000000000000000000000000000000000
χ7788-8-800-444-400-2002−2525−2525-220010000-1-15−55−51−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−ζ580000000000000000000000000000000000000000000000
χ7888-8-800-444-400-200225−2525−25-220010000-1-1−55−551−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+ζ580000000000000000000000000000000000000000000000
χ7988-8-800-444-400-200225−2525−25-220010000-1-1−55−551ζ2−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−ζ580000000000000000000000000000000000000000000000
χ808-88-80088-8-800-2002−252525−252-200-200002-2−252525−252000000000000000000000000000000000000000000000000000000
χ818-88-80088-8-800-200225−25−25252-200-200002-225−25−25252000000000000000000000000000000000000000000000000000000
χ828-88-800-4-44400800-80000-8800-400004-400004000000000000000000000000000000000000000000000000000000
χ838-88-800-4-44400-2002−252525−252-20010000-115−5−55-1−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ590000000000000000000000000000000000000000000000
χ848-88-800-4-44400-2002−252525−252-20010000-115−5−55-1ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ590000000000000000000000000000000000000000000000
χ858-88-800-4-44400-200225−25−25252-20010000-11−555−5-1ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ590000000000000000000000000000000000000000000000
χ868-88-800-4-44400-200225−25−25252-20010000-11−555−5-1−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7+ζ11+ζ19+ζ23−ζ31−ζ43−ζ47−ζ59−ζ7−ζ11−ζ19−ζ23+ζ31+ζ43+ζ47+ζ59−ζ7+ζ11+ζ19−ζ23−ζ31+ζ43+ζ47−ζ59ζ7−ζ11−ζ19+ζ23+ζ31−ζ43−ζ47+ζ590000000000000000000000000000000000000000000000
χ878-8-888-8-44-4400-2-44-2-2-22222001−2i52i52i5−2i51-111-1-1-1i5i5−i5−i5−i5−i5i5i50000000000000000000000000000000000000000000000
χ888-8-888-8-44-4400-2-44-2-2-222220012i5−2i5−2i52i51-111-1-1-1−i5−i5i5i5i5i5−i5−i50000000000000000000000000000000000000000000000
χ898-8-88-88-44-448i−8i-24-4-222-2-222−4i4i1−2i−2i2i2i1-1-1-111-1iiii−i−i−i−i0000000000000000000000000000000000000000000000
χ908-8-88-88-44-44−8i8i-24-4-222-2-2224i−4i12i2i−2i−2i1-1-1-111-1−i−i−i−iiiii0000000000000000000000000000000000000000000000

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