Finite Group Databasebeta

← Group #14296911

Character table — Group #14296911

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222224444444444444444444444888888888888888810101010101010101212121212121212121212121212121212121212202020202020202040404040404040404040404060606060120120120120
order12222222223666566666610101010101010101010101010101015303030303030303030303030303030444412121212222210101010101010101010101010101010441212121212128888242424242424242422228888
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
χ9111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-11111-1-1-11-11
χ11111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-11-111-1-111-1-1-1-111-11-11
χ12111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-11-11-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111i−i−iiii−i−i−i−iii-1-111i−i−ii
χ14111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111−iii−i−i−iiiii−i−i-1-111−iii−i
χ15111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111i−i−iiii−i−i−i−iii11-1-1−iii−i
χ16111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111−iii−i−i−iiiii−i−i11-1-1i−i−ii
χ172222222222-1-1-1-12-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000000000000022-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ182222222222-1-1-1-12-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000000000000022-1-1-1-1-1-1-2-2-2-21111111100000000
χ192222222222-1-1-1-12-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100000000000000000000-2-21111112i2i−2i−2i−i−i−i−iiiii00000000
χ202222222222-1-1-1-12-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100000000000000000000-2-2111111−2i−2i2i2iiiii−i−i−i−i00000000
χ21222222-2-2-2-2-1-1-1-12-1-111112222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111112222-1-1-1-100000000000000000000-2-2-1-111112-22-2-1-111-1-11100000000
χ22222222-2-2-2-2-1-1-1-12-1-111112222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111112222-1-1-1-100000000000000000000-2-2-1-11111-22-2211-1-111-1-100000000
χ23222222-2-2-2-2-1-1-1-12-1-111112222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-21111000000000000000000002211-1-1-1-12i−2i−2i2i−i−iiiii−i−i00000000
χ24222222-2-2-2-2-1-1-1-12-1-111112222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-21111000000000000000000002211-1-1-1-1−2i2i2i−2iii−i−i−i−iii00000000
χ252222-2-222-2-222222-2-222-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-22222000000000000000000002-2-2-222-2-200000000000000000000
χ262222-2-222-2-222222-2-222-2-2222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-2-2-200000000000000000000-2222-2-22200000000000000000000
χ272222-2-222-2-2-1-1-1-1211-1-111222-2-2-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-1000000000000000000002-211-1-1110000−i3i3−i3i3−i3i3−i3i300000000
χ282222-2-222-2-2-1-1-1-1211-1-111222-2-2-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1111122-2-2-1-1-1-1000000000000000000002-211-1-1110000i3−i3i3−i3i3−i3i3−i300000000
χ292222-2-222-2-2-1-1-1-1211-1-111222-2-2-2-22222-2-2-2-2-1-1-1-11111-1-1-1-11111-2-222111100000000000000000000-22-1-111-1-100003−33−3−33−3300000000
χ302222-2-222-2-2-1-1-1-1211-1-111222-2-2-2-22222-2-2-2-2-1-1-1-11111-1-1-1-11111-2-222111100000000000000000000-22-1-111-1-10000−33−333−33−300000000
χ312222-2-2-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222222-2-2222200000000000000000000-22-2-2-2-22200000000000000000000
χ322222-2-2-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2000000000000000000002-22222-2-200000000000000000000
χ332222-2-2-2-222-1-1-1-121111-1-1222-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-122-2-2-1-1-1-100000000000000000000-221111-1-10000−i3i3i3−i3−i3i3i3−i300000000
χ342222-2-2-2-222-1-1-1-121111-1-1222-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-122-2-2-1-1-1-100000000000000000000-221111-1-10000i3−i3−i3i3i3−i3−i3i300000000
χ352222-2-2-2-222-1-1-1-121111-1-1222-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-1-2-2221111000000000000000000002-2-1-1-1-11100003−3−33−333−300000000
χ362222-2-2-2-222-1-1-1-121111-1-1222-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-1-2-2221111000000000000000000002-2-1-1-1-1110000−333−33−3−3300000000
χ372-2-222-200002-2-2222-200002-2-222-2-20000000022-2-222-2-2000000002-22-222-2-2002-2000000002222-2-2-2-2002-20000000000000000002-20000
χ382-2-222-200002-2-2222-200002-2-222-2-20000000022-2-222-2-2000000002-22-222-2-200-2200000000-2-2-2-22222002-2000000000000000000-220000
χ392-2-222-200002-2-2222-200002-2-222-2-20000000022-2-222-2-200000000-22-22-2-222002-2000000002222-2-2-2-200-22000000000000000000-220000
χ402-2-222-200002-2-2222-200002-2-222-2-20000000022-2-222-2-200000000-22-22-2-22200-2200000000-2-2-2-2222200-220000000000000000002-20000
χ412-2-22-2200002-2-222-2200002-2-2-2-2220000000022-2-2-2-222000000002-2-2222-2-22-2002222-2-2-2-20000000000-2200000000000000002-2000000
χ422-2-22-2200002-2-222-2200002-2-2-2-2220000000022-2-2-2-222000000002-2-2222-2-2-2200-2-2-2-222220000000000-220000000000000000-22000000
χ432-2-22-2200002-2-222-2200002-2-2-2-2220000000022-2-2-2-22200000000-222-2-2-2222-2002222-2-2-2-200000000002-20000000000000000-22000000
χ442-2-22-2200002-2-222-2200002-2-2-2-2220000000022-2-2-2-22200000000-222-2-2-222-2200-2-2-2-2222200000000002-200000000000000002-2000000
χ4544444444444444-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ4644444444444444-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-4-4-4-411111111111111110000000000000000000000000000
χ47444444-4-4-4-44444-144-4-4-4-4-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111110000000044-4-4-1-1-1-1-1-1-1-1111111110000000000000000000000000000
χ48444444-4-4-4-44444-144-4-4-4-4-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111100000000-4-44411111111-1-1-1-1-1-1-1-10000000000000000000000000000
χ494444-4-444-4-44444-1-4-444-4-4-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000−5−555−5−555−5−555−5−5550000000000000000000000000000
χ504444-4-444-4-44444-1-4-444-4-4-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000055−5−555−5−555−5−555−5−50000000000000000000000000000
χ514444-4-4-4-4444444-1-4-4-4-444-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1000000000000−5−555−5−55555−5−555−5−50000000000000000000000000000
χ524444-4-4-4-4444444-1-4-4-4-444-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000055−5−555−5−5−5−555−5−5550000000000000000000000000000
χ5344-4-400004-444-4-4400004-4-44-40000000044-4-44-44-40000000044-4-400000000000000000000000000000000000000000000000000000000
χ5444-4-400004-444-4-4-100004-41-11−55−55−5−555-1-111-11-11−55−55−5−555-1-111000000000000ζ2−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+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−ζ2+ζ14−ζ22−ζ26+ζ34+ζ38−ζ46+ζ580000000000000000000000000000
χ5544-4-400004-444-4-4-100004-41-11−55−55−5−555-1-111-11-11−55−55−5−555-1-111000000000000−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−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−ζ580000000000000000000000000000
χ5644-4-400004-444-4-4-100004-41-115−55−555−5−5-1-111-11-115−55−555−5−5-1-111000000000000ζ2+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−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+ζ580000000000000000000000000000
χ5744-4-400004-444-4-4-100004-41-115−55−555−5−5-1-111-11-115−55−555−5−5-1-111000000000000−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+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+ζ58−ζ2−ζ14−ζ22+ζ26−ζ34+ζ38+ζ46+ζ58ζ2+ζ14+ζ22−ζ26+ζ34−ζ38−ζ46−ζ580000000000000000000000000000
χ5844-4-400004-4-2-22240000-22-44-40000000044-4-4-22-2200000000-2-222000023−2323−230000000000000000000000000023−2300000000000000000000
χ5944-4-400004-4-2-22240000-22-44-40000000044-4-4-22-2200000000-2-2220000−2323−232300000000000000000000000000−232300000000000000000000
χ6044-4-40000-4444-4-440000-44-44-400000000-4-4444-44-400000000-4-44400000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.