Finite Group Databasebeta

← Group #14297547

Character table — Group #14297547

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444448888888888888888888888101010101212121220202020202024242424242424243030303040404040404040404040404040406060120120120120
order122222366644566101010101010101212152020202030303030303030606060606060606022224444226666202020202020202044444444661212121212121212444444
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
χ2922-2-22-22-2-220022-2-222-2-22-20020000-2-222-2-22000000002-2-22002i−2i002-2-2200002i2i−2i−2i0000000000000000002i−2i0000
χ3022-2-22-22-2-220022-2-222-2-22-20020000-2-222-2-22000000002-2-2200−2i2i002-2-220000−2i−2i2i2i000000000000000000−2i2i0000
χ3122-2-22-22-2-220022-2-222-2-22-20020000-2-222-2-2200000000-222-2002i−2i00-222-200002i2i−2i−2i000000000000000000−2i2i0000
χ3222-2-22-22-2-220022-2-222-2-22-20020000-2-222-2-2200000000-222-200−2i2i00-222-20000−2i−2i2i2i0000000000000000002i−2i0000
χ3322-2-2-222-2-222-22-22-2-2-2222-22-2222-2-2-2-2-2-22222222-2-2-2-222-2-200002-222-2-200000000000000002-200000000000000
χ3422-2-2-222-2-222-22-22-2-2-2222-22-2222-2-2-2-2-2-22222222-2-2-2-2-2-2220000-22-2-2220000000000000000-2200000000000000
χ3522-2-2-222-2-22-222-22-2-2-2222-2-222-2-222-2-2-2-2222-2-2-2-2222222-2-20000-2222-2-20000000000000000-2200000000000000
χ3622-2-2-222-2-22-222-22-2-2-2222-2-222-2-222-2-2-2-2222-2-2-2-22222-2-22200002-2-2-22200000000000000002-200000000000000
χ3722-2-2-22-111-12-221-1-2-2-2222-2-11-122-2-21111-1-1-1-1-1-1-1111122-2-200002-2-1-1110000000000000000-113−33−33−33−3000000
χ3822-2-2-22-111-12-221-1-2-2-2222-2-11-122-2-21111-1-1-1-1-1-1-1111122-2-200002-2-1-1110000000000000000-11−33−33−33−33000000
χ3922-2-2-22-111-12-221-1-2-2-2222-2-11-122-2-21111-1-1-1-1-1-1-11111-2-2220000-2211-1-100000000000000001-1−i3i3−i3i3i3−i3i3−i3000000
χ4022-2-2-22-111-12-221-1-2-2-2222-2-11-122-2-21111-1-1-1-1-1-1-11111-2-2220000-2211-1-100000000000000001-1i3−i3i3−i3−i3i3−i3i3000000
χ4122-2-2-22-111-1-2221-1-2-2-2222-21-1-1-2-2221111-1-1-11111-1-1-1-122-2-20000-22-1-11100000000000000001-13−3−333−3−33000000
χ4222-2-2-22-111-1-2221-1-2-2-2222-21-1-1-2-2221111-1-1-11111-1-1-1-122-2-20000-22-1-11100000000000000001-1−333−3−333−3000000
χ4322-2-2-22-111-1-2221-1-2-2-2222-21-1-1-2-2221111-1-1-11111-1-1-1-1-2-22200002-211-1-10000000000000000-11−i3i3i3−i3i3−i3−i3i3000000
χ4422-2-2-22-111-1-2221-1-2-2-2222-21-1-1-2-2221111-1-1-11111-1-1-1-1-2-22200002-211-1-10000000000000000-11i3−i3−i3i3−i3i3i3−i3000000
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
χ5544-4-44-44-4-4400-14-41-1-111-1100-1−555−511-1-111-1−5−55555−5−50000004i−4i000000−i5i5−i5i5−i−iii000000000000000000000000
χ5644-4-44-44-4-4400-14-41-1-111-1100-1−555−511-1-111-1−5−55555−5−5000000−4i4i000000i5−i5i5−i5ii−i−i000000000000000000000000
χ5744-4-44-44-4-4400-14-41-1-111-1100-15−5−5511-1-111-155−5−5−5−5550000004i−4i000000i5−i5i5−i5−i−iii000000000000000000000000
χ5844-4-44-44-4-4400-14-41-1-111-1100-15−5−5511-1-111-155−5−5−5−555000000−4i4i000000−i5i5−i5i5ii−i−i000000000000000000000000
χ5944-4-44-4-222-2004-22-444-4-44-400-2000022-2-222-2000000004-4-44000000-222-200000000000000000000000000000000
χ6044-4-44-4-222-2004-22-444-4-44-400-2000022-2-222-200000000-444-40000002-2-2200000000000000000000000000000000
χ6144-4-4-444-4-444-4-1-44111-1-1-114-4-1-1-1111111-1-1-1-1-1-1-1111100000000000000−i5i5i5−i5−i5i5i5−i5000000000000000000000000
χ6244-4-4-444-4-444-4-1-44111-1-1-114-4-1-1-1111111-1-1-1-1-1-1-1111100000000000000i5−i5−i5i5i5−i5−i5i5000000000000000000000000
χ6344-4-4-444-4-44-44-1-44111-1-1-11-44-111-1-11111-1-1-11111-1-1-1-100000000000000−i5i5i5−i5i5−i5−i5i5000000000000000000000000
χ6444-4-4-444-4-44-44-1-44111-1-1-11-44-111-1-11111-1-1-11111-1-1-1-100000000000000i5−i5−i5i5−i5i5i5−i5000000000000000000000000
χ654-44-40044-4-40040040000-4-400400004-40000-4000000000000000000000000000000004i−4i00000000000000000000
χ664-44-40044-4-40040040000-4-400400004-40000-400000000000000000000000000000000−4i4i00000000000000000000
χ674-4-44004-44-400400-40000-440040000-440000-40000000000000000000000000000004-40000000000000000000000
χ684-4-44004-44-400400-40000-440040000-440000-4000000000000000000000000000000-440000000000000000000000
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
χ7388-8-88-8-444-400-2-442-2-222-22001−252525−25-1-111-1-1155−5−5−5−5550000000000000000000000000000000000000000000000
χ7488-8-88-8-444-400-2-442-2-222-2200125−25−2525-1-111-1-11−5−55555−5−50000000000000000000000000000000000000000000000
χ7588-8-8-88-444-48-8-24-4222-2-2-22-441-2-222-1-1-1-11111111-1-1-1-10000000000000000000000000000000000000000000000
χ7688-8-8-88-444-4-88-24-4222-2-2-224-4122-2-2-1-1-1-1111-1-1-1-111110000000000000000000000000000000000000000000000
χ778-88-80088-8-800-200-2−2525−25252200-20000-22−2525−25252000000000000000000000000000000000000000000000000000000
χ788-88-80088-8-800-200-225−2525−252200-20000-2225−2525−252000000000000000000000000000000000000000000000000000000
χ798-88-800-4-4440080080000-8-800-40000-4400004000000000000000000000000000000000000000000000000000000
χ808-88-800-4-44400-200-2−2525−25252200100001-15−55−5-1ζ7+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+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
χ818-88-800-4-44400-200-2−2525−25252200100001-15−55−5-1−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−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
χ828-88-800-4-44400-200-225−2525−252200100001-1−55−55-1−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−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
χ838-88-800-4-44400-200-225−2525−252200100001-1−55−55-1ζ7−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+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
χ848-8-88008-88-800-2002−252525−252-200-200002-2−252525−252000000000000000000000000000000000000000000000000000000
χ858-8-88008-88-800-200225−25−25252-200-200002-225−25−25252000000000000000000000000000000000000000000000000000000
χ868-8-8800-44-4400800-80000-8800-400004-400004000000000000000000000000000000000000000000000000000000
χ878-8-8800-44-4400-2002−252525−252-20010000-115−5−55-1−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
χ888-8-8800-44-4400-2002−252525−252-20010000-115−5−55-1ζ7−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
χ898-8-8800-44-4400-200225−25−25252-20010000-11−555−5-1ζ7+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
χ908-8-8800-44-4400-200225−25−25252-20010000-11−555−5-1−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

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