Finite Group Databasebeta

← Group #14284029

Character table — Group #14284029

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444445555888888888888888888888810101010101010101010101020202020202020202020202020202020202020202020202020202020202424484848486060606060606060120120
order122234444666121212124510101012121212444415202020202020303030606060606060606060606060444412121212121212122668888888812122424242424242424242424242424242444202020208888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i111111iiii−i−i−i−i-1-1
χ61111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1−i−i−i−iiiii11
χ71111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii111111−i−i−i−iiiii-1-1
χ81111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1iiii−i−i−i−i11
χ911111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111ii−i−iii−i−i-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-1ii−i−iii−i−i1-1
χ1011111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111ii−i−iii−i−i-1-1iiii−i−i−i−iiiii−i−i−i−i-11-1-111−i−iii−i−iii-11
χ1111111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111−i−iii−i−iii-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-1−i−iii−i−iii1-1
χ1211111-1-1-1-1111-1-1-1-11111111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111−i−iii−i−iii-1-1−i−i−i−iiiii−i−i−i−iiiii-11-1-111ii−i−iii−i−i-11
χ1311111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-111-11
χ1411111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ1511111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-11111-1-1-11
χ1611111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1111-1
χ172222222-2-2222-2-2-2-2-22222-2-22222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2000000002200000000000000000000000000000000
χ182222222-2-2222-2-2-2-2-22222-2-222-2-2-2-22-2-2-2-222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2222222200000000-2-200000000000000000000000000000000
χ1922222-2-2222222222-22222-2-2-2-222222-2-222-2-2222-2-2-2-2-2-2-2-2222222-2-222222222-2-2-200000000-2-200000000000000000000000000000000
χ2022222-2-2222222222-22222-2-2-2-2-2-2-2-22-2-222-2-2222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-2222000000002200000000000000000000000000000000
χ212222-12222-1-1-1-1-1-1-122222-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ222222-12222-1-1-1-1-1-1-122222-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-1-111111111111111110000000000000000
χ232222-12222-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2112i2i2i2i−2i−2i−2i−2i11−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ242222-12222-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-211−2i−2i−2i−2i2i2i2i2i11iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ252222-122-2-2-1-1-11111-2222211-1-12222-1-2-2-2-222-1-1-11111-1-1-1-11111-2-222-1-1-1-11111-21100000000-1-133−3−333−3−333−3−333−3−30000000000000000
χ262222-122-2-2-1-1-11111-2222211-1-12222-1-2-2-2-222-1-1-11111-1-1-1-11111-2-222-1-1-1-11111-21100000000-1-1−3−333−3−333−3−333−3−3330000000000000000
χ272222-122-2-2-1-1-11111-2222211-1-1-2-2-2-2-1-2-2-2-222-1-1-11111-1-1-1-1111122-2-21111-1-1-1-12-1-10000000011−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ282222-122-2-2-1-1-11111-2222211-1-1-2-2-2-2-1-2-2-2-222-1-1-11111-1-1-1-1111122-2-21111-1-1-1-12-1-10000000011i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ292222-1-2-222-1-1-1-1-1-1-1-2222211112222-1-2-222-2-2-1-1-111111111-1-1-1-122-2-2-1-1-1-1-1-1-1-1-2110000000011−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ302222-1-2-222-1-1-1-1-1-1-1-2222211112222-1-2-222-2-2-1-1-111111111-1-1-1-122-2-2-1-1-1-1-1-1-1-1-2110000000011i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ312222-1-2-222-1-1-1-1-1-1-1-222221111-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-1-2-222111111112-1-100000000-1-133−3−3−3−333−3−33333−3−30000000000000000
χ322222-1-2-222-1-1-1-1-1-1-1-222221111-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-1-2-222111111112-1-100000000-1-1−3−33333−3−333−3−3−3−3330000000000000000
χ332222-1-2-2-2-2-1-1-1111122222-1-1112222-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-111112-1-12i2i−2i−2i2i2i−2i−2i11−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ342222-1-2-2-2-2-1-1-1111122222-1-1112222-122-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-111112-1-1−2i−2i2i2i−2i−2i2i2i11iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ352222-1-2-2-2-2-1-1-1111122222-1-111-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-11111111122221111-1-1-1-1-21122-2-2-2-222-1-1-1-1-1-111111111-1-1-1-10000000000000000
χ362222-1-2-2-2-2-1-1-1111122222-1-111-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-11111111122221111-1-1-1-1-211-2-22222-2-2-1-11111-1-1-1-1-1-1-1-111110000000000000000
χ372-22-222-2002-2-2000002-2-22002-22i2i−2i−2i200002-22-2-2000022-2-20000002i−2i2i2i−2i−2i00000001+i−1−i1+i−1−i1−i−1+i1−i−1+i2i−2i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i0000000000000000
χ382-22-222-2002-2-2000002-2-22002-22i2i−2i−2i200002-22-2-2000022-2-20000002i−2i2i2i−2i−2i0000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2i−2i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i0000000000000000
χ392-22-222-2002-2-2000002-2-22002-2−2i−2i2i2i200002-22-2-2000022-2-2000000−2i2i−2i−2i2i2i00000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000000000000000
χ402-22-222-2002-2-2000002-2-22002-2−2i−2i2i2i200002-22-2-2000022-2-2000000−2i2i−2i−2i2i2i0000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2i2i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000000000000000
χ412-22-22-22002-2-2000002-2-2200-222i2i−2i−2i20000-222-2-20000-2-222000000−2i2i2i2i−2i−2i00000001−i−1+i−1+i1−i−1−i1+i1+i−1−i−2i2i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i0000000000000000
χ422-22-22-22002-2-2000002-2-2200-222i2i−2i−2i20000-222-2-20000-2-222000000−2i2i2i2i−2i−2i0000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2i2i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i0000000000000000
χ432-22-22-22002-2-2000002-2-2200-22−2i−2i2i2i20000-222-2-20000-2-2220000002i−2i−2i−2i2i2i00000001+i−1−i−1−i1+i−1+i1−i1−i−1+i2i−2i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i0000000000000000
χ442-22-22-22002-2-2000002-2-2200-22−2i−2i2i2i20000-222-2-20000-2-2220000002i−2i−2i−2i2i2i0000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i2i−2i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i0000000000000000
χ452-22-2-12-200-11133−3−302-2-223−3-112i2i−2i−2i-100002-2-11133−3−3-1-11133−3−3002i−2i−i−iii−i3−i3i3i30−i3i31+i−1−i1+i−1−i1−i−1+i1−i−1+i−ii−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ590000000000000000
χ462-22-2-12-200-11133−3−302-2-223−3-112i2i−2i−2i-100002-2-11133−3−3-1-11133−3−3002i−2i−i−iii−i3−i3i3i30−i3i3−1−i1+i−1−i1+i−1+i1−i−1+i1−i−iiζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ590000000000000000
χ472-22-2-12-200-11133−3−302-2-223−3-11−2i−2i2i2i-100002-2-11133−3−3-1-11133−3−300−2i2iii−i−ii3i3−i3−i30i3−i31−i−1+i1−i−1+i1+i−1−i1+i−1−ii−iζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ430000000000000000
χ482-22-2-12-200-11133−3−302-2-223−3-11−2i−2i2i2i-100002-2-11133−3−3-1-11133−3−300−2i2iii−i−ii3i3−i3−i30i3−i3−1+i1−i−1+i1−i−1−i1+i−1−i1+ii−i−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59−ζ2−ζ7−ζ14−ζ19−ζ26−ζ31−ζ38−ζ43ζ2+ζ7+ζ14+ζ19+ζ26+ζ31+ζ38+ζ43−ζ11−ζ22−ζ23−ζ34−ζ46−ζ47−ζ58−ζ59ζ11+ζ22+ζ23+ζ34+ζ46+ζ47+ζ58+ζ59ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ43ζ11−ζ22+ζ23−ζ34−ζ46+ζ47−ζ58+ζ59−ζ11+ζ22−ζ23+ζ34+ζ46−ζ47+ζ58−ζ59−ζ2+ζ7−ζ14+ζ19−ζ26+ζ31−ζ38+ζ43ζ2−ζ7+ζ14−ζ19+ζ26−ζ31+ζ38−ζ430000000000000000
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χ9388-8-8-4000044-443−43−43430-22-22000000001−25250000-1-115−55−5−1515−1515−333−3000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4000044-443−43−43430-22-2200000000125−250000-1-11−55−5515−1515−15−333−3000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4000044-4−434343−430-22-22000000001−25250000-1-115−55−515−1515−153−3−33000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4000044-4−434343−430-22-2200000000125−250000-1-11−55−55−1515−15153−3−33000000000000000000000000000000000000000000000000000000000
χ978-88-888-8008-8-800000-222-2008-80000-20000-22-2220000-2-2220000000000000000000000000000000000000000000000000000000000000
χ988-88-88-88008-8-800000-222-200-880000-200002-2-222000022-2-20000000000000000000000000000000000000000000000000000000000000
χ998-88-8-48-800-4444343−43−430-222-243−43-44000010000-221-1-1−3−33311-1-1−3−333000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-800-444−43−4343430-222-2−4343-44000010000-221-1-133−3−311-1-133−3−3000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-8800-4444343−43−430-222-2−43434-40000100002-21-1-133−3−3-1-111−3−333000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-8800-444−43−4343430-222-243−434-40000100002-21-1-1−3−333-1-11133−3−3000000000000000000000000000000000000000000000000000000000
χ1038-8-888008-8-88-88-88-80-2-22200000000-200-22002-2200000000-22-22000000000000000000000000000000000000000000000000000000000
χ1048-8-88800-88-88-8-88-880-2-22200000000-2002-2002-22000000002-22-2000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4008-84-44-44-440-2-22200000000100-2200-11-1−151515−1515−15−15151-11-1000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4008-84-44-44-440-2-22200000000100-2200-11-115−15−1515−151515−151-11-1000000000000000000000000000000000000000000000000000000000
χ1078-8-88-400-884-444-44-40-2-222000000001002-200-11-1−151515−15−151515−15-11-11000000000000000000000000000000000000000000000000000000000
χ1088-8-88-400-884-444-44-40-2-222000000001002-200-11-115−15−151515−15−1515-11-11000000000000000000000000000000000000000000000000000000000

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