Finite Group Databasebeta

← Group #14297261

Character table — Group #14297261

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222224444445588888888888881010101010101012121212161616161616202020202020202020202020202020202424242424242424404040404040404060606060120120120120
order1223446121224561012226101010121520202020306060244661212244430303060606024444461212121212121212121010202020202020688122424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111
χ5111111111111111-1-11111111111111-1-1-1-1-1-1-11111111111-1-1ii−i−i-1-1iiii−i−i−i−i11111111-1i−i-1ii−i−i-1-1-1-1i−ii−i
χ6111111111111111-1-11111111111111-1-1-1-1-1-1-11111111111-1-1−i−iii-1-1−i−i−i−iiiii11111111-1−ii-1−i−iii-1-1-1-1−ii−ii
χ7111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1ii−i−i-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1i−i-1ii−i−i1111−ii−ii
χ8111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1−i−iii-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1−ii-1−i−iii1111i−ii−i
χ9111111111-1-1111111-11-1-1-1111-1-1111111111111-1-11-1-11-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ10111111111-1-1111111-11-1-1-1111-1-1111111111111-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1111111-1-111-1-1
χ11111111111-1-1111111-11-1-1-1111-1-11111111111-1-1111-1-11-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1
χ12111111111-1-1111111-11-1-1-1111-1-11111111111-1-1111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111-1-111-1-111
χ13111111111-1-11111-1-1-11-1-1-1111-1-1111-1-1-1-1-1-1-111-1-11-1-11-1-111ii−i−i-1-1iiii−i−i−i−i1111-1-1-1-11−ii1−i−iii-1-111−iii−i
χ14111111111-1-11111-1-1-11-1-1-1111-1-1111-1-1-1-1-1-1-111-1-11-1-11-1-111−i−iii-1-1−i−i−i−iiiii1111-1-1-1-11i−i1ii−i−i-1-111i−i−ii
χ15111111111-1-11111-1-1-11-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1111-1-11-1-111ii−i−i-1-1iiii−i−i−i−i-1-1-1-111111−ii1−i−iii11-1-1i−i−ii
χ16111111111-1-11111-1-1-11-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1111-1-11-1-111−i−iii-1-1−i−i−i−iiiii-1-1-1-111111i−i1ii−i−i11-1-1−iii−i
χ172222-2-22-2-200222-222020002-2-2002-2-22-2-222-2-2002-2200-2000000002-200000000000022-2-200000000002-20000
χ182222-2-22-2-200222-222020002-2-2002-2-22-2-222-2-200-22200-2000000002-2000000000000-2-2220000000000-220000
χ192222-2-22-2-200222-2-2-2020002-2-2002-2-2-222-2-222002-2200-200000000-2200000000000022-2-20000000000-220000
χ202222-2-22-2-200222-2-2-2020002-2-2002-2-2-222-2-22200-22200-200000000-22000000000000-2-22200000000002-20000
χ21222-122-1-1-1222-12-122-1222-1-12222-1-1-1222-1-1-1-10000-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-100000000-122-1-1-1-1-100000000
χ22222-122-1-1-1222-12-122-1222-1-12222-1-1-1222-1-1-1-10000-1-1-1-1-1-122-2-2-2-2-1-11111111100000000-1-2-2-1111100000000
χ23222-122-1-1-1222-12-1-2-2-1222-1-12222-1-1-1-2-2-211110000-1-1-1-1-1-1-2-22i2i−2i−2i11−i−i−i−iiiii0000000012i−2i1−i−iii00000000
χ24222-122-1-1-1222-12-1-2-2-1222-1-12222-1-1-1-2-2-211110000-1-1-1-1-1-1-2-2−2i−2i2i2i11iiii−i−i−i−i000000001−2i2i1ii−i−i00000000
χ25222-122-1-1-1-2-22-12-12212-2-21-122-2-2-1-1-1222-1-1-1-10000-111-111-2-22222-1-1-1-1-1-1-1-1-1-1000000001-2-21111100000000
χ26222-122-1-1-1-2-22-12-12212-2-21-122-2-2-1-1-1222-1-1-1-10000-111-111-2-2-2-2-2-2-1-111111111000000001221-1-1-1-100000000
χ27222-122-1-1-1-2-22-12-1-2-212-2-21-122-2-2-1-1-1-2-2-211110000-111-111222i2i−2i−2i11−i−i−i−iiiii00000000-1−2i2i-1ii−i−i00000000
χ28222-122-1-1-1-2-22-12-1-2-212-2-21-122-2-2-1-1-1-2-2-211110000-111-11122−2i−2i2i2i11iiii−i−i−i−i00000000-12i−2i-1−i−iii00000000
χ2922-222-2222002-22-2220-200022-200222-22-222222-200-200-200000000-2-20000000022-2-20000000000002-2000000
χ3022-222-2222002-22-2220-200022-200222-22-22222-2200-200-200000000-2-200000000-2-222000000000000-22000000
χ3122-222-2222002-22-2-2-20-200022-2002222-22-2-2-2-22-200-200-200000000220000000022-2-2000000000000-22000000
χ3222-222-2222002-22-2-2-20-200022-2002222-22-2-2-2-2-2200-200-2000000002200000000-2-2220000000000002-2000000
χ3322-22-222-2-22-22-222222-222-22-22-2-22-2-2-2-2222-2-20000-2222-2-22-20000-220000000000000000200-2000000000000
χ3422-22-222-2-22-22-222-2-22-222-22-22-2-22-2-222-2-2-2220000-2222-2-2-2200002-20000000000000000-2002000000000000
χ3522-22-222-2-2-222-22222-2-2-2-222-22222-2-2-2-2222-2-20000-2-2-2222-220000-220000000000000000-2002000000000000
χ3622-22-222-2-2-222-222-2-2-2-2-2-222-22222-2-222-2-2-2220000-2-2-22222-200002-20000000000000000200-2000000000000
χ3722-2-1-22-1112-2212-122-1-2221-1-22-2-2-111-2-22-1-11100001-1-1-1112-200001-133−3−333−3−300000000-10013−33−300000000
χ3822-2-1-22-1112-2212-122-1-2221-1-22-2-2-111-2-22-1-11100001-1-1-1112-200001-1−3−333−3−33300000000-1001−33−3300000000
χ3922-2-1-22-1112-2212-1-2-2-1-2221-1-22-2-2-11122-211-1-100001-1-1-111-220000-11−i3−i3i3i3i3i3−i3−i300000000100-1−i3i3i3−i300000000
χ4022-2-1-22-1112-2212-1-2-2-1-2221-1-22-2-2-11122-211-1-100001-1-1-111-220000-11i3i3−i3−i3−i3−i3i3i300000000100-1i3−i3−i3i300000000
χ4122-2-1-22-111-22212-1221-2-2-2-1-1-2222-111-2-22-1-1110000111-1-1-1-2200001-133−3−333−3−300000000100-1−33−3300000000
χ4222-2-1-22-111-22212-1221-2-2-2-1-1-2222-111-2-22-1-1110000111-1-1-1-2200001-1−3−333−3−33300000000100-13−33−300000000
χ4322-2-1-22-111-22212-1-2-21-2-2-2-1-1-2222-11122-211-1-10000111-1-1-12-20000-11−i3−i3i3i3i3i3−i3−i300000000-1001i3−i3−i3i300000000
χ4422-2-1-22-111-22212-1-2-21-2-2-2-1-1-2222-11122-211-1-10000111-1-1-12-20000-11i3i3−i3−i3−i3−i3i3i300000000-1001−i3i3i3−i300000000
χ4544444444444-14-14004-1-1-14-1-1-1-1-1-1-1-100000004444-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-10000000000000000
χ4644444444444-14-14004-1-1-14-1-1-1-1-1-1-1-10000000-4-4-4-4-1-1-1-1-1-10000000000000000111111110000000000000000
χ47444444444-4-4-14-1400-4-111-4-1-1-111-1-1-1000000044-4-4-111-1110000000000000000-1-1-1-111110000000000000000
χ48444444444-4-4-14-1400-4-111-4-1-1-111-1-1-10000000-4-444-111-11100000000000000001111-1-1-1-10000000000000000
χ494444-4-44-4-400-14-1-4000-1−550-111−55-1110000000004-4-1−551−550000000000000000−55−55-1-1110000000000000000
χ504444-4-44-4-400-14-1-4000-1−550-111−55-111000000000-44-1−551−5500000000000000005−55−511-1-10000000000000000
χ514444-4-44-4-400-14-1-4000-15−50-1115−5-1110000000004-4-15−515−500000000000000005−55−5-1-1110000000000000000
χ524444-4-44-4-400-14-1-4000-15−50-1115−5-111000000000-44-15−515−50000000000000000−55−5511-1-10000000000000000
χ53444-2-4-4-222004-2424404000-2-4-400-2224-4-4-2-2220000-200200000000-2200000000000000000000000000000000
χ54444-2-4-4-222004-242-4-404000-2-4-400-222-44422-2-20000-2002000000002-200000000000000000000000000000000
χ5544-444-444400-1-4-1-40001−550-1-115−5-1-1-100000004-4001−5515−50000000000000000-1-111−55−550000000000000000
χ5644-444-444400-1-4-1-40001−550-1-115−5-1-1-10000000-44001−5515−5000000000000000011-1-15−55−50000000000000000
χ5744-444-444400-1-4-1-400015−50-1-11−55-1-1-100000004-40015−51−550000000000000000-1-1115−55−50000000000000000
χ5844-444-444400-1-4-1-400015−50-1-11−55-1-1-10000000-440015−51−55000000000000000011-1-1−55−550000000000000000
χ5944-44-444-4-44-4-1-4-140041-1-1-4-11-111-111000000000001-1-1-1110000000000000000−555−5−555−50000000000000000
χ6044-44-444-4-44-4-1-4-140041-1-1-4-11-111-111000000000001-1-1-11100000000000000005−5−555−5−550000000000000000
χ6144-44-444-4-4-44-1-4-1400-41114-11-1-1-1-11100000000000111-1-1-10000000000000000−555−55−5−550000000000000000
χ6244-44-444-4-4-44-1-4-1400-41114-11-1-1-1-11100000000000111-1-1-100000000000000005−5−55−555−50000000000000000
χ6344-4-24-4-2-2-2004242440-4000-24-400-2-2-2-44-4-2-2-2-200002002000000002200000000000000000000000000000000
χ6444-4-24-4-2-2-2004242-4-40-4000-24-400-2-2-24-4422220000200200000000-2-200000000000000000000000000000000
χ654-40400-4000040-404-40000040000-4000004-4000000000000002-22-2002-22-22-22-2000000000000000000000000
χ664-40400-4000040-404-40000040000-4000004-400000000000000-22-2200-22-22-22-22000000000000000000000000
χ674-40400-4000040-40-440000040000-400000-44000000000000002i−2i−2i2i002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ684-40400-4000040-40-440000040000-400000-4400000000000000−2i2i2i−2i00−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ694-40-200223−230040-404-400000-20000223−23000-2223−230000000000002-22-200−1+31−3−1−31+3−1+31−3−1−31+3000000000000000000000000
χ704-40-200223−230040-404-400000-20000223−23000-2223−23000000000000-22-22001−3−1+31+3−1−31−3−1+31+3−1−3000000000000000000000000
χ714-40-200223−230040-40-4400000-20000223−230002-2−23230000000000002i−2i−2i2i00ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59000000000000000000000000
χ724-40-200223−230040-40-4400000-20000223−230002-2−2323000000000000−2i2i2i−2i00−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59000000000000000000000000
χ734-40-2002−23230040-404-400000-200002−2323000-22−23230000000000002-22-200−1−31+3−1+31−3−1−31+3−1+31−3000000000000000000000000
χ744-40-2002−23230040-404-400000-200002−2323000-22−2323000000000000-22-22001+3−1−31−3−1+31+3−1−31−3−1+3000000000000000000000000
χ754-40-2002−23230040-40-4400000-200002−23230002-223−230000000000002i−2i−2i2i00−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59000000000000000000000000
χ764-40-2002−23230040-40-4400000-200002−23230002-223−23000000000000−2i2i2i−2i00ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59−ζ2−ζ7−ζ11−ζ14−ζ19+ζ22−ζ23−ζ26−ζ31+ζ34−ζ38−ζ43+ζ46−ζ47+ζ58−ζ59ζ2+ζ7+ζ11+ζ14+ζ19−ζ22+ζ23+ζ26+ζ31−ζ34+ζ38+ζ43−ζ46+ζ47−ζ58+ζ59ζ2−ζ7−ζ11+ζ14−ζ19−ζ22−ζ23+ζ26−ζ31−ζ34+ζ38−ζ43−ζ46−ζ47−ζ58−ζ59−ζ2+ζ7+ζ11−ζ14+ζ19+ζ22+ζ23−ζ26+ζ31+ζ34−ζ38+ζ43+ζ46+ζ47+ζ58+ζ59000000000000000000000000
χ77888-488-4-4-488-2-4-2-400-4-2-2-2-41-2-2-2-2111000000000001111110000000000000000000000000000000000000000
χ78888-488-4-4-4-8-8-2-4-2-4004-22241-2-222111000000000001-1-11-1-10000000000000000000000000000000000000000
χ79888-4-8-8-44400-2-4-24000-2−25250122−25251-1-10000000000015−5-15−50000000000000000000000000000000000000000
χ80888-4-8-8-44400-2-4-24000-225−25012225−251-1-1000000000001−55-1−550000000000000000000000000000000000000000
χ8188-8-48-8-4-4-400-24-240002−252501-2225−2511100000000000-15−5-1−550000000000000000000000000000000000000000
χ8288-8-48-8-4-4-400-24-24000225−2501-22−252511100000000000-1−55-15−50000000000000000000000000000000000000000
χ8388-8-4-88-4448-8-24-2-400-42-2-2412-2221-1-100000000000-1111-1-10000000000000000000000000000000000000000
χ8488-8-4-88-444-88-24-2-4004222-412-2-2-21-1-100000000000-1-1-11110000000000000000000000000000000000000000
χ8516-1601600-160000-40400000000-40000400000000000000000000000000000000000000000000000000000000000
χ8616-160-800883−8300-4040000000020000-2−2323000000000000000000000000000000000000000000000000000000000
χ8716-160-8008−838300-4040000000020000-223−23000000000000000000000000000000000000000000000000000000000

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