Finite Group Databasebeta

← Group #14296881

Character table — Group #14296881

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444448888888888888888888888101010101212121220202020202024242424242424243030303040404040404040404040404040406060120120120120
order122222366622566101010101010106610101010153030303030303030303030303030302222224444666610101010202020204444444412121212121212121212444444
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
χ91111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1111-11-1
χ101111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-11111-11-11
χ111111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1111111111-11-1-1-111-1-111-1-1-1-1-11-11
χ121111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-11-11-1-1-1-111-1-111-1-11-11-1
χ131111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−i−ii11ii−i−i−i−iii-1-1i−i−ii
χ141111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−iii−i11−i−iiiii−i−i-1-1−iii−i
χ151111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii11−iii−i
χ161111111111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i11i−i−ii
χ17222222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-10000000000002222-1-1-1-1-1-1-1-1-1-1000000
χ18222222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1000000000000-2-2-2-2-1-111111111000000
χ19222222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-211110000000000002i2i−2i−2i11−i−i−i−iiiii000000
χ20222222-1-1-1-1222-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-21111000000000000−2i−2i2i2i11iiii−i−i−i−i000000
χ21222222-1-1-1-1-2-22-1-1222222211-2-2-2-2-1-1-1-1-1-1-1-11111111122220000-2-2-1-1-1-10000000000002-22-211-1-111-1-111000000
χ22222222-1-1-1-1-2-22-1-1222222211-2-2-2-2-1-1-1-1-1-1-1-11111111122220000-2-2-1-1-1-1000000000000-22-221111-1-111-1-1000000
χ23222222-1-1-1-1-2-22-1-1222222211-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-200002211110000000000002i−2i−2i2i-1-1−i−iiiii−i−i000000
χ24222222-1-1-1-1-2-22-1-1222222211-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-20000221111000000000000−2i2i2i−2i-1-1ii−i−i−i−iii000000
χ252222-2-22222002-2-222-2-2-2-220000002222-2-2-2-2000000002-22-2002-2002-22-2000022-2-222-2-200000000000000000000
χ262222-2-22222002-2-222-2-2-2-220000002222-2-2-2-2000000002-22-200-22002-22-20000-2-222-2-22200000000000000000000
χ272222-2-22222002-2-222-2-2-2-220000002222-2-2-2-200000000-22-22002-200-22-22000022-2-2-2-22200000000000000000000
χ282222-2-22222002-2-222-2-2-2-220000002222-2-2-2-200000000-22-2200-2200-22-220000-2-22222-2-200000000000000000000
χ292-2-222-22-2-220022-2-2-222-2-2200000022-2-222-2-2000000002-2-222-20000-222-222-2-200000000000000000000002-20000
χ302-2-222-22-2-220022-2-2-222-2-2200000022-2-222-2-2000000002-2-22-220000-222-2-2-2220000000000000000000000-220000
χ312-2-222-22-2-220022-2-2-222-2-2200000022-2-222-2-200000000-222-22-200002-2-2222-2-20000000000000000000000-220000
χ322-2-222-22-2-220022-2-2-222-2-2200000022-2-222-2-200000000-222-2-2200002-2-22-2-22200000000000000000000002-20000
χ332-2-22-222-2-222-22-22-2-2-2-22222-222-2-222-2-2-2-2222222-2-2-2-222-2-200002-2-2-22200000000000000002-200000000000000
χ342-2-22-222-2-222-22-22-2-2-2-22222-222-2-222-2-2-2-2222222-2-2-2-2-2-2220000-2222-2-20000000000000000-2200000000000000
χ352-2-22-222-2-22-222-22-2-2-2-2222-22-2-22222-2-2-2-222-2-2-2-2222222-2-20000-22-2-2220000000000000000-2200000000000000
χ362-2-22-222-2-22-222-22-2-2-2-2222-22-2-22222-2-2-2-222-2-2-2-22222-2-22200002-222-2-200000000000000002-200000000000000
χ372-2-22-22-111-12-221-1-2-2-2-2222-1122-2-2-1-11111-1-1-1-1-1-1111122-2-200002-211-1-10000000000000000-11−i3i3−i3i3−i3i3−i3i3000000
χ382-2-22-22-111-12-221-1-2-2-2-2222-1122-2-2-1-11111-1-1-1-1-1-1111122-2-200002-211-1-10000000000000000-11i3−i3i3−i3i3−i3i3−i3000000
χ392-2-22-22-111-12-221-1-2-2-2-2222-1122-2-2-1-11111-1-1-1-1-1-11111-2-2220000-22-1-11100000000000000001-13−33−3−33−33000000
χ402-2-22-22-111-12-221-1-2-2-2-2222-1122-2-2-1-11111-1-1-1-1-1-11111-2-2220000-22-1-11100000000000000001-1−33−333−33−3000000
χ412-2-22-22-111-1-2221-1-2-2-2-22221-1-2-222-1-11111-1-11111-1-1-1-122-2-20000-2211-1-100000000000000001-1−i3i3i3−i3−i3i3i3−i3000000
χ422-2-22-22-111-1-2221-1-2-2-2-22221-1-2-222-1-11111-1-11111-1-1-1-122-2-20000-2211-1-100000000000000001-1i3−i3−i3i3i3−i3−i3i3000000
χ432-2-22-22-111-1-2221-1-2-2-2-22221-1-2-222-1-11111-1-11111-1-1-1-1-2-22200002-2-1-1110000000000000000-113−3−33−333−3000000
χ442-2-22-22-111-1-2221-1-2-2-2-22221-1-2-222-1-11111-1-11111-1-1-1-1-2-22200002-2-1-1110000000000000000-11−333−33−3−33000000
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
χ474444444444-4-4-144-1-1-1-1-1-1-1-4-41111-1-1-1-1-1-1-1-111111111000044-4-4000000-1-1-1-11111000000000000000000000000
χ484444444444-4-4-144-1-1-1-1-1-1-1-4-41111-1-1-1-1-1-1-1-1111111110000-4-4440000001111-1-1-1-1000000000000000000000000
χ494444-4-4444400-1-4-4-1-11111-100−55−55-1-1-1-11111−5−555−5−5550000004-4000000−55−55-1-111000000000000000000000000
χ504444-4-4444400-1-4-4-1-11111-100−55−55-1-1-1-11111−5−555−5−555000000-440000005−55−511-1-1000000000000000000000000
χ514444-4-4444400-1-4-4-1-11111-1005−55−5-1-1-1-1111155−5−555−5−50000004-40000005−55−5-1-111000000000000000000000000
χ524444-4-4444400-1-4-4-1-11111-1005−55−5-1-1-1-1111155−5−555−5−5000000-44000000−55−5511-1-1000000000000000000000000
χ534444-4-4-2-2-2-20042244-4-4-4-44000000-2-2-2-22222000000004-44-4000000-22-2200000000000000000000000000000000
χ544444-4-4-2-2-2-20042244-4-4-4-44000000-2-2-2-2222200000000-44-440000002-22-200000000000000000000000000000000
χ5544-4-40044-4-4004004-40000-40000004-44-40000000000000000000000000000000000004i−4i00000000000000000000
χ5644-4-40044-4-4004004-40000-40000004-44-4000000000000000000000000000000000000−4i4i00000000000000000000
χ574-44-4004-44-400400-440000-40000004-4-4400000000000000000000000000000000004i−4i0000000000000000000000
χ584-44-4004-44-400400-440000-40000004-4-440000000000000000000000000000000000−4i4i0000000000000000000000
χ594-4-444-44-4-4400-14-411-1-111-100−555−5-1-111-1-111−5−55555−5−500004-400000000-1-111−55−55000000000000000000000000
χ604-4-444-44-4-4400-14-411-1-111-100−555−5-1-111-1-111−5−55555−5−50000-440000000011-1-15−55−5000000000000000000000000
χ614-4-444-44-4-4400-14-411-1-111-1005−5−55-1-111-1-11155−5−5−5−55500004-400000000-1-1115−55−5000000000000000000000000
χ624-4-444-44-4-4400-14-411-1-111-1005−5−55-1-111-1-11155−5−5−5−5550000-440000000011-1-1−55−55000000000000000000000000
χ634-4-444-4-222-2004-22-4-444-4-44000000-2-222-2-222000000004-4-440000002-2-2200000000000000000000000000000000
χ644-4-444-4-222-2004-22-4-444-4-44000000-2-222-2-22200000000-444-4000000-222-200000000000000000000000000000000
χ654-4-44-444-4-444-4-1-441111-1-1-14-4-1-111-1-11111-1-1-1-1-1-1111100000000000000−555−5−555−5000000000000000000000000
χ664-4-44-444-4-444-4-1-441111-1-1-14-4-1-111-1-11111-1-1-1-1-1-11111000000000000005−5−555−5−55000000000000000000000000
χ674-4-44-444-4-44-44-1-441111-1-1-1-4411-1-1-1-11111-1-11111-1-1-1-100000000000000−555−55−5−55000000000000000000000000
χ684-4-44-444-4-44-44-1-441111-1-1-1-4411-1-1-1-11111-1-11111-1-1-1-1000000000000005−5−55−555−5000000000000000000000000
χ69888888-4-4-4-488-2-4-4-2-2-2-2-2-2-2-4-4-2-2-2-211111111111111110000000000000000000000000000000000000000000000
χ70888888-4-4-4-4-8-8-2-4-4-2-2-2-2-2-2-244222211111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000
χ718888-8-8-4-4-4-400-244-2-22222-200−2525−25251111-1-1-1-155−5−555−5−50000000000000000000000000000000000000000000000
χ728888-8-8-4-4-4-400-244-2-22222-20025−2525−251111-1-1-1-1−5−555−5−5550000000000000000000000000000000000000000000000
χ7388-8-80088-8-800-200-22−2525−25252000000-22-22−2525−2525000000000000000000000000000000000000000000000000000000
χ7488-8-80088-8-800-200-2225−2525−252000000-22-2225−2525−25000000000000000000000000000000000000000000000000000000
χ7588-8-800-4-444008008-80000-8000000-44-440000000000000000000000000000000000000000000000000000000000
χ7688-8-800-4-44400-200-22−2525−252520000001-11-15−55−5ζ2+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
χ7788-8-800-4-44400-200-22−2525−252520000001-11-15−55−5−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
χ7888-8-800-4-44400-200-2225−2525−2520000001-11-1−55−55−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
χ7988-8-800-4-44400-200-2225−2525−2520000001-11-1−55−55ζ2−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
χ808-88-8008-88-800-2002-2−252525−252000000-222-2−252525−25000000000000000000000000000000000000000000000000000000
χ818-88-8008-88-800-2002-225−25−25252000000-222-225−25−2525000000000000000000000000000000000000000000000000000000
χ828-88-800-44-4400800-880000-8000000-444-40000000000000000000000000000000000000000000000000000000000
χ838-88-800-44-4400-2002-2−252525−2520000001-1-115−5−55−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+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
χ848-88-800-44-4400-2002-2−252525−2520000001-1-115−5−55ζ2−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−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
χ858-88-800-44-4400-2002-225−25−252520000001-1-11−555−5ζ2+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+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
χ868-88-800-44-4400-2002-225−25−252520000001-1-11−555−5−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−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
χ878-8-888-8-444-400-2-4422-2-222-200−252525−2511-1-111-1-155−5−5−5−5550000000000000000000000000000000000000000000000
χ888-8-888-8-444-400-2-4422-2-222-20025−25−252511-1-111-1-1−5−55555−5−50000000000000000000000000000000000000000000000
χ898-8-88-88-444-48-8-24-42222-2-2-2-44-2-22211-1-1-1-1111111-1-1-1-10000000000000000000000000000000000000000000000
χ908-8-88-88-444-4-88-24-42222-2-2-24-422-2-211-1-1-1-111-1-1-1-111110000000000000000000000000000000000000000000000

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