Finite Group Databasebeta

← Group #14296880

Character table — Group #14296880

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222244444444444444444444666688888888888888888810101010121212121212121212121212121212121212202020202020404040404040404040404040404060606060120120120120
order122222366622566101010101010101010101010101010444466153030303030303030303030303030302222442020202020202020202020202020202044666644441212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ41111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ5111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii
χ8111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i
χ91111111111-1-1111111111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111111-11-1-1-111-1-111-1-1-1-1111-11-1
χ101111111111-1-1111111111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-111-1-111-11-11
χ111111111111-1-1111111111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1i−i−ii11ii−i−i−i−iii11-1-1i−i−ii
χ121111111111-1-1111111111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1−iii−i11−i−iiiii−i−i11-1-1−iii−i
χ131111111111-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111111-11-1-1-111-1-111-1-111-1-1-11-11
χ141111111111-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-11-11-1-1-1-111-1-11111-1-11-11-1
χ151111111111-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111−iii−i
χ161111111111-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111i−i−ii
χ17222222-1-1-1-1222-1-12222222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-1222-1-12222222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000000000000022-1-1-1-1-2-2-2-2-1-11111111100000000
χ19222222-1-1-1-1222-1-12222222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000-2-211112i2i−2i−2i11−i−i−i−iiiii00000000
χ20222222-1-1-1-1222-1-12222222222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000-2-21111−2i−2i2i2i11iiii−i−i−i−i00000000
χ21222222-1-1-1-1-2-22-1-1222222-2-2-2-2-2-2-2-22000011-1-1-1-1-1-1-1-1111111112222000000000000000000-2-2-1-1-1-12-22-211-1-111-1-11100000000
χ22222222-1-1-1-1-2-22-1-1222222-2-2-2-2-2-2-2-22000011-1-1-1-1-1-1-1-1111111112222000000000000000000-2-2-1-1-1-1-22-221111-1-111-1-100000000
χ23222222-1-1-1-1-2-22-1-1222222-2-2-2-2-2-2-2-22000011-1-1-1-1-1-1-1-111111111-2-2-2-20000000000000000002211112i−2i−2i2i-1-1−i−iiiii−i−i00000000
χ24222222-1-1-1-1-2-22-1-1222222-2-2-2-2-2-2-2-22000011-1-1-1-1-1-1-1-111111111-2-2-2-2000000000000000000221111−2i2i2i−2i-1-1ii−i−i−i−iii00000000
χ252222-2-22222002-2-222-2-2-2-200000000222-2-2002222-2-2-2-2000000002-22-2002222-2-2-2-200000000002-22-200000000000000002-20000
χ262222-2-22222002-2-222-2-2-2-200000000222-2-2002222-2-2-2-200000000-22-22002222-2-2-2-20000000000-22-220000000000000000-220000
χ272222-2-22222002-2-222-2-2-2-2000000002-2-222002222-2-2-2-2000000002-22-200-2-2-2-2222200000000002-22-20000000000000000-220000
χ282222-2-22222002-2-222-2-2-2-2000000002-2-222002222-2-2-2-200000000-22-2200-2-2-2-222220000000000-22-2200000000000000002-20000
χ292-2-222-22-2-220022-2-2-222-2-200000000200000022-2-222-2-2000000002-2-222-2000000002222-2-2-2-200-222-2000000000000002-2000000
χ302-2-222-22-2-220022-2-2-222-2-200000000200000022-2-222-2-2000000002-2-22-2200000000-2-2-2-2222200-222-200000000000000-22000000
χ312-2-222-22-2-220022-2-2-222-2-200000000200000022-2-222-2-200000000-222-22-2000000002222-2-2-2-2002-2-2200000000000000-22000000
χ322-2-222-22-2-220022-2-2-222-2-200000000200000022-2-222-2-200000000-222-2-2200000000-2-2-2-22222002-2-22000000000000002-2000000
χ332-2-22-222-2-222-22-22-2-2-2-2222222-2-2-2-2200002-222-2-2-2-2222222-2-2-2-222-2-20000000000000000002-2-2-22200002-20000000000000000
χ342-2-22-222-2-222-22-22-2-2-2-2222222-2-2-2-2200002-222-2-2-2-2222222-2-2-2-2-2-222000000000000000000-2222-2-20000-220000000000000000
χ352-2-22-222-2-22-222-22-2-2-2-222-2-2-2-2222220000-2222-2-2-2-222-2-2-2-2222222-2-2000000000000000000-22-2-2220000-220000000000000000
χ362-2-22-222-2-22-222-22-2-2-2-222-2-2-2-2222220000-2222-2-2-2-222-2-2-2-22222-2-2220000000000000000002-222-2-200002-20000000000000000
χ372-2-22-22-111-12-221-1-2-2-2-2222222-2-2-2-220000-11-1-11111-1-1-1-1-1-1111122-2-20000000000000000002-211-1-10000-11−i3i3−i3i3−i3i3−i3i300000000
χ382-2-22-22-111-12-221-1-2-2-2-2222222-2-2-2-220000-11-1-11111-1-1-1-1-1-1111122-2-20000000000000000002-211-1-10000-11i3−i3i3−i3i3−i3i3−i300000000
χ392-2-22-22-111-12-221-1-2-2-2-2222222-2-2-2-220000-11-1-11111-1-1-1-1-1-11111-2-222000000000000000000-22-1-11100001-13−33−3−33−3300000000
χ402-2-22-22-111-12-221-1-2-2-2-2222222-2-2-2-220000-11-1-11111-1-1-1-1-1-11111-2-222000000000000000000-22-1-11100001-1−33−333−33−300000000
χ412-2-22-22-111-1-2221-1-2-2-2-222-2-2-2-22222200001-1-1-11111-1-11111-1-1-1-122-2-2000000000000000000-2211-1-100001-1−i3i3i3−i3−i3i3i3−i300000000
χ422-2-22-22-111-1-2221-1-2-2-2-222-2-2-2-22222200001-1-1-11111-1-11111-1-1-1-122-2-2000000000000000000-2211-1-100001-1i3−i3−i3i3i3−i3−i3i300000000
χ432-2-22-22-111-1-2221-1-2-2-2-222-2-2-2-22222200001-1-1-11111-1-11111-1-1-1-1-2-2220000000000000000002-2-1-1110000-113−3−33−333−300000000
χ442-2-22-22-111-1-2221-1-2-2-2-222-2-2-2-22222200001-1-1-11111-1-11111-1-1-1-1-2-2220000000000000000002-2-1-1110000-11−333−33−3−3300000000
χ45444444444444-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000044-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000
χ46444444444444-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4-411111111111111110000000000000000000000000000
χ474444444444-4-4-144-1-1-1-1-1-111111111-14444-4-4-1-1-1-1-1-1-1-1111111110000-4-4-1-1-1-1-1-1-1-1111111110000000000000000000000000000
χ484444444444-4-4-144-1-1-1-1-1-111111111-1-4-4-4-4-4-4-1-1-1-1-1-1-1-11111111100004411111111-1-1-1-1-1-1-1-10000000000000000000000000000
χ494444-4-4444400-1-4-4-1-11111−5−555−5−555-144-4-400-1-1-1-11111−5−555−5−555000000-1-1-1-11111−5−555−5−5550000000000000000000000000000
χ504444-4-4444400-1-4-4-1-11111−5−555−5−555-1-4-44400-1-1-1-11111−5−555−5−5550000001111-1-1-1-155−5−555−5−50000000000000000000000000000
χ514444-4-4444400-1-4-4-1-1111155−5−555−5−5-144-4-400-1-1-1-1111155−5−555−5−5000000-1-1-1-1111155−5−555−5−50000000000000000000000000000
χ524444-4-4444400-1-4-4-1-1111155−5−555−5−5-1-4-44400-1-1-1-1111155−5−555−5−50000001111-1-1-1-1−5−555−5−5550000000000000000000000000000
χ534444-4-4-2-2-2-20042244-4-4-4-4000000004000000-2-2-2-22222000000004-44-400000000000000000000-22-220000000000000000000000
χ544444-4-4-2-2-2-20042244-4-4-4-4000000004000000-2-2-2-2222200000000-44-44000000000000000000002-22-20000000000000000000000
χ5544-4-40044-4-4004004-4000000000000-4004i−4i004-44-400000000000000000000004i4i−4i−4i000000000000000000000000000000000000
χ5644-4-40044-4-4004004-4000000000000-400−4i4i004-44-40000000000000000000000−4i−4i4i4i000000000000000000000000000000000000
χ5744-4-40044-4-400-100-11−55−55ζ2−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+ζ581004i−4i00-11-11−55−55ζ2−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+ζ58000000−i5−i5i5i5−i−iiiζ7−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
χ5844-4-40044-4-400-100-11−55−55ζ2−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+ζ58100−4i4i00-11-11−55−55ζ2−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+ζ58000000i5i5−i5−i5ii−i−i−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
χ5944-4-40044-4-400-100-11−55−55−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−ζ581004i−4i00-11-11−55−55−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−ζ58000000−i5−i5i5i5−i−iii−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
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.