Finite Group Databasebeta

← Group #14297581

Character table — Group #14297581

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222224444444444444444444444888888888888888810101010101010101212121212121212121212121212121212121212202020202020202040404040404040404040404060606060120120120120
order122222344446665661010101010101012121212202020202020202015303030303030306060606060606060444412121212224410101010101010102020202020202020441212121212128888242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1ii−i−i
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1−i−iii
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−iii
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111ii−i−i
χ91111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-111-1-111-1-111-1-11-11-1
χ101111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-11111-1-1-11-11
χ111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-11-111-1-111-1-1-1-111-11-11
χ121111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-11-11-1-111-1-111-1-1111-11-1
χ131111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111i−i−iiii−i−i−i−iii-1-111i−i−ii
χ141111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111−iii−i−i−iiiii−i−i-1-111−iii−i
χ151111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111i−i−iiii−i−i−i−iii11-1-1−iii−i
χ161111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111−iii−i−i−iiiii−i−i11-1-1i−i−ii
χ17222222-12222-1-1-12-1-12222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000000000000022-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ18222222-12222-1-1-12-1-12222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000000000000022-1-1-1-1-1-1-2-2-2-21111111100000000
χ19222222-12222-1-1-12-1-12222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100000000000000000000-2-21111112i2i−2i−2i−i−i−i−iiiii00000000
χ20222222-12222-1-1-12-1-12222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100000000000000000000-2-2111111−2i−2i2i2iiiii−i−i−i−i00000000
χ21222222-1-2-2-2-2-1-1-12-1-122222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111112222-1-1-1-100000000000000000000-2-2-1-111112-22-2-1-111-1-11100000000
χ22222222-1-2-2-2-2-1-1-12-1-122222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111112222-1-1-1-100000000000000000000-2-2-1-11111-22-2211-1-111-1-100000000
χ23222222-1-2-2-2-2-1-1-12-1-122222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-21111000000000000000000002211-1-1-1-12i−2i−2i2i−i−iiiii−i−i00000000
χ24222222-1-2-2-2-2-1-1-12-1-122222221111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-21111000000000000000000002211-1-1-1-1−2i2i2i−2iii−i−i−i−iii00000000
χ252222-2-2222-2-22222-2-222-2-2-2-2222-2-22222-2-2-2-2222-2-2-2-222222-2-2-2-22-22-22222000000000000000000002-2-2-222-2-200000000000000000000
χ262222-2-2222-2-22222-2-222-2-2-2-2222-2-22222-2-2-2-2222-2-2-2-222222-2-2-2-2-22-22-2-2-2-200000000000000000000-2222-2-22200000000000000000000
χ272222-2-22-2-2222222-2-222-2-2-2-22-2-222-2-2-2-22222222-2-2-2-22-2-2-2-222222-22-2222200000000000000000000-22-2-2-2-22200000000000000000000
χ282222-2-22-2-2222222-2-222-2-2-2-22-2-222-2-2-2-22222222-2-2-2-22-2-2-2-22222-22-22-2-2-2-2000000000000000000002-22222-2-200000000000000000000
χ292222-2-2-122-2-2-1-1-121122-2-2-2-22-1-1112222-2-2-2-2-1-1-11111-1-1-1-1-111112-22-2-1-1-1-1000000000000000000002-211-1-1110000−i3i3−i3i3−i3i3−i3i300000000
χ302222-2-2-122-2-2-1-1-121122-2-2-2-22-1-1112222-2-2-2-2-1-1-11111-1-1-1-1-111112-22-2-1-1-1-1000000000000000000002-211-1-1110000i3−i3i3−i3i3−i3i3−i300000000
χ312222-2-2-122-2-2-1-1-121122-2-2-2-22-1-1112222-2-2-2-2-1-1-11111-1-1-1-1-11111-22-22111100000000000000000000-22-1-111-1-100003−33−3−33−3300000000
χ322222-2-2-122-2-2-1-1-121122-2-2-2-22-1-1112222-2-2-2-2-1-1-11111-1-1-1-1-11111-22-22111100000000000000000000-22-1-111-1-10000−33−333−33−300000000
χ332222-2-2-1-2-222-1-1-121122-2-2-2-2211-1-1-2-2-2-22222-1-1-11111-11111-1-1-1-12-22-2-1-1-1-100000000000000000000-221111-1-10000−i3i3i3−i3−i3i3i3−i300000000
χ342222-2-2-1-2-222-1-1-121122-2-2-2-2211-1-1-2-2-2-22222-1-1-11111-11111-1-1-1-12-22-2-1-1-1-100000000000000000000-221111-1-10000i3−i3−i3i3i3−i3−i3i300000000
χ352222-2-2-1-2-222-1-1-121122-2-2-2-2211-1-1-2-2-2-22222-1-1-11111-11111-1-1-1-1-22-221111000000000000000000002-2-1-1-1-11100003−3−33−333−300000000
χ362222-2-2-1-2-222-1-1-121122-2-2-2-2211-1-1-2-2-2-22222-1-1-11111-11111-1-1-1-1-22-221111000000000000000000002-2-1-1-1-1110000−333−33−3−3300000000
χ3722-2-22-220000-22-222-22-222-2-2-200000000000022-222-2-2-20000000022-2-222-2-22-2002222-2-2-2-200000000002-200000000000000002-2000000
χ3822-2-22-220000-22-222-22-222-2-2-200000000000022-222-2-2-20000000022-2-222-2-2-2200-2-2-2-2222200000000002-20000000000000000-22000000
χ3922-2-22-220000-22-222-22-222-2-2-200000000000022-222-2-2-200000000-2-222-2-2222-2002222-2-2-2-20000000000-220000000000000000-22000000
χ4022-2-22-220000-22-222-22-222-2-2-200000000000022-222-2-2-200000000-2-222-2-222-2200-2-2-2-222220000000000-2200000000000000002-2000000
χ4122-2-2-2220000-22-22-222-2-2-222-200000000000022-2-2-222-2000000002-2-2222-2-2002i−2i000000002i2i2i2i−2i−2i−2i−2i00-220000000000000000002i−2i0000
χ4222-2-2-2220000-22-22-222-2-2-222-200000000000022-2-2-222-2000000002-2-2222-2-200−2i2i00000000−2i−2i−2i−2i2i2i2i2i00-22000000000000000000−2i2i0000
χ4322-2-2-2220000-22-22-222-2-2-222-200000000000022-2-2-222-200000000-222-2-2-222002i−2i000000002i2i2i2i−2i−2i−2i−2i002-2000000000000000000−2i2i0000
χ4422-2-2-2220000-22-22-222-2-2-222-200000000000022-2-2-222-200000000-222-2-2-22200−2i2i00000000−2i−2i−2i−2i2i2i2i2i002-20000000000000000002i−2i0000
χ4544444444444444-144-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ4644444444444444-144-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-4-4-4-411111111111111110000000000000000000000000000
χ474444444-4-4-4-4444-144-1-1-1-1-1-1-1-4-4-4-411111111-1-1-1-1-1-1-1-1111111110000000044-4-4-1-1-1-1-1-1-1-1111111110000000000000000000000000000
χ484444444-4-4-4-4444-144-1-1-1-1-1-1-1-4-4-4-411111111-1-1-1-1-1-1-1-11111111100000000-4-44411111111-1-1-1-1-1-1-1-10000000000000000000000000000
χ494444-4-4444-4-4444-1-4-4-1-11111-144-4-4-1-1-1-11111-1-1-11111-1-1-1-1-11111000000000000−5−555−5−555−5−555−5−5550000000000000000000000000000
χ504444-4-4444-4-4444-1-4-4-1-11111-144-4-4-1-1-1-11111-1-1-11111-1-1-1-1-1111100000000000055−5−555−5−555−5−555−5−50000000000000000000000000000
χ514444-4-44-4-444444-1-4-4-1-11111-1-4-4441111-1-1-1-1-1-1-11111-11111-1-1-1-1000000000000−5−555−5−55555−5−555−5−50000000000000000000000000000
χ524444-4-44-4-444444-1-4-4-1-11111-1-4-4441111-1-1-1-1-1-1-11111-11111-1-1-1-100000000000055−5−555−5−5−5−555−5−5550000000000000000000000000000
χ5344-4-44-440000-44-4-14-4-11-1-11110000−i5−i5i5i5−i5−i5i5i5-1-11-1-1111−i5−i5i5i5−i5−i5i5i5000000004-400-1-1-1-11111−i5−i5i5i5i5i5−i5−i50000000000000000000000000000
χ5444-4-44-440000-44-4-14-4-11-1-11110000−i5−i5i5i5−i5−i5i5i5-1-11-1-1111−i5−i5i5i5−i5−i5i5i500000000-44001111-1-1-1-1i5i5−i5−i5−i5−i5i5i50000000000000000000000000000
χ5544-4-44-440000-44-4-14-4-11-1-11110000i5i5−i5−i5i5i5−i5−i5-1-11-1-1111i5i5−i5−i5i5i5−i5−i5000000004-400-1-1-1-11111i5i5−i5−i5−i5−i5i5i50000000000000000000000000000
χ5644-4-44-440000-44-4-14-4-11-1-11110000i5i5−i5−i5i5i5−i5−i5-1-11-1-1111i5i5−i5−i5i5i5−i5−i500000000-44001111-1-1-1-1−i5−i5i5i5i5i5−i5−i50000000000000000000000000000
χ5744-4-44-4-200002-224-224-444-4-4-4000000000000-2-22-2-22220000000044-4-4-2-2220000000000000000000000-22000000000000000000000000
χ5844-4-44-4-200002-224-224-444-4-4-4000000000000-2-22-2-222200000000-4-44422-2-200000000000000000000002-2000000000000000000000000
χ5944-4-4-4440000-44-4-1-44-1111-1-110000−i5−i5i5i5i5i5−i5−i5-1-1111-1-11−i5−i5i5i5i5i5−i5−i500000000004i−4i−5−55555−5−5−i−i−i−iiiii0000000000000000000000000000
χ6044-4-4-4440000-44-4-1-44-1111-1-110000−i5−i5i5i5i5i5−i5−i5-1-1111-1-11−i5−i5i5i5i5i5−i5−i50000000000−4i4i55−5−5−5−555iiii−i−i−i−i0000000000000000000000000000
χ6144-4-4-4440000-44-4-1-44-1111-1-110000i5i5−i5−i5−i5−i5i5i5-1-1111-1-11i5i5−i5−i5−i5−i5i5i500000000004i−4i55−5−5−5−555−i−i−i−iiiii0000000000000000000000000000
χ6244-4-4-4440000-44-4-1-44-1111-1-110000i5i5−i5−i5−i5−i5i5i5-1-1111-1-11i5i5−i5−i5−i5−i5i5i50000000000−4i4i−5−55555−5−5iiii−i−i−i−i0000000000000000000000000000
χ6344-4-4-44-200002-2242-24-4-4-444-4000000000000-2-2222-2-22000000004-4-44-2-22200000000000000000000002-2000000000000000000000000
χ6444-4-4-44-200002-2242-24-4-4-444-4000000000000-2-2222-2-2200000000-444-422-2-20000000000000000000000-22000000000000000000000000
χ654-44-4004004i−4i-4-44400-440000-4004i−4i00004i−4i4i−4i4-440000-400004i−4i4i−4i00000000000000000000000000000000000000000000000000000000
χ664-44-4004004i−4i-4-44-1001-1−55−551004i−4i−i5i5−i5i5−ii−ii-11-1−55−551−i5i5−i5i5−ii−ii000000000000ζ2−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+ζ58ζ7−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+ζ590000000000000000000000000000
χ674-44-4004004i−4i-4-44-1001-1−55−551004i−4i−i5i5−i5i5−ii−ii-11-1−55−551−i5i5−i5i5−ii−ii000000000000−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−ζ58−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−ζ590000000000000000000000000000
χ684-44-4004004i−4i-4-44-1001-15−55−51004i−4ii5−i5i5−i5−ii−ii-11-15−55−51i5−i5i5−i5−ii−ii000000000000ζ2+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−ζ58−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−ζ590000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.