Finite Group Databasebeta

← Group #14512575

Character table — Group #14512575

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11244445510101010101124444551010101010448161616162020404040404044816161616202040404040404481616161620204040404040448161616162020404040404066122424242430306060606060
order122510101022244442221010101022244443661530303066612121212366153030306661212121266630303030666121212126663030303066612121212444202020204444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ31111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i
χ41111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii1111111-1-1-1−i−iii
χ511-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-111-111-1-111-11-11-1
χ611-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-1111-111-1-111-1-11-11
χ711-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii
χ811-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i
χ92-202-2002-2000002-202-2002-2000002-202-2002-2000002-202-2002-2000002-202-2002-2000002-202-2002-2000002-202-2002-200000
χ102-202-200-22000002-202-200-22000002-202-200-22000002-202-200-22000002-202-200-22000002-202-200-22000002-202-200-2200000
χ11444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000444-1-1-1-10000000
χ1244-4-1-111000000044-4-1-111000000044-4-1-111000000044-4-1-111000000044-4-1-111000000044-4-1-111000000044-4-1-1110000000
χ134-40-115−500000004-40-115−500000004-40-115−500000004-40-115−500000004-40-115−500000004-40-115−500000004-40-115−50000000
χ144-40-11−5500000004-40-11−5500000004-40-11−5500000004-40-11−5500000004-40-11−5500000004-40-11−5500000004-40-11−550000000
χ151111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111
χ161111111111-1-1-1-11111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111111111-1-1-1-1
χ171111111-1-1-1ii−i−i1111111-1-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431111111-1-1-1ii−i−i
χ181111111-1-1-1−i−iii1111111-1-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431111111-1-1-1−i−iii
χ1911-111-1-111-11-11-111-111-1-111-11-11-1−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i3211-111-1-111-11-11-1
χ2011-111-1-111-1-11-1111-111-1-111-1-11-11−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i3211-111-1-111-1-11-11
χ2111-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ4311-111-1-1-1-11i−i−ii
χ2211-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ4311-111-1-1-1-11−iii−i
χ232-202-2002-2000002-202-2002-200000−1+i31−i30−1+i31−i300−1+i31−i300000−1−i31+i30−1−i31+i300−1−i31+i300000−1+i31−i30−1+i31−i300−1+i31−i300000−1−i31+i30−1−i31+i300−1−i31+i3000002-202-2002-200000
χ242-202-200-22000002-202-200-2200000−1+i31−i30−1+i31−i3001−i3−1+i300000−1−i31+i30−1−i31+i3001+i3−1−i300000−1+i31−i30−1+i31−i3001−i3−1+i300000−1−i31+i30−1−i31+i3001+i3−1−i3000002-202-200-2200000
χ25444-1-1-1-10000000444-1-1-1-10000000−2+2i3−2+2i3−2+2i31−i321−i321−i321−i320000000−2−2i3−2−2i3−2−2i31+i321+i321+i321+i320000000−2+2i3−2+2i3−2+2i31−i321−i321−i321−i320000000−2−2i3−2−2i3−2−2i31+i321+i321+i321+i320000000444-1-1-1-10000000
χ2644-4-1-111000000044-4-1-1110000000−2+2i3−2+2i32−2i31−i321−i32−1+i32−1+i320000000−2−2i3−2−2i32+2i31+i321+i32−1−i32−1−i320000000−2+2i3−2+2i32−2i31−i321−i32−1+i32−1+i320000000−2−2i3−2−2i32+2i31+i321+i32−1−i32−1−i32000000044-4-1-1110000000
χ274-40-115−500000004-40-115−50000000−2+2i32−2i301−i32−1+i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ380000000−2−2i32+2i301+i32−1−i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ580000000−2+2i32−2i301−i32−1+i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ380000000−2−2i32+2i301+i32−1−i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ5800000004-40-115−50000000
χ284-40-11−5500000004-40-11−550000000−2+2i32−2i301−i32−1+i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ380000000−2−2i32+2i301+i32−1−i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ580000000−2+2i32−2i301−i32−1+i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ380000000−2−2i32+2i301+i32−1−i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ5800000004-40-11−550000000
χ291111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111
χ301111111111-1-1-1-11111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321111111111-1-1-1-1
χ311111111-1-1-1ii−i−i1111111-1-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591111111-1-1-1ii−i−i
χ321111111-1-1-1−i−iii1111111-1-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591111111-1-1-1−i−iii
χ3311-111-1-111-11-11-111-111-1-111-11-11-1−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i3211-111-1-111-11-11-1
χ3411-111-1-111-1-11-1111-111-1-111-1-11-11−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i3211-111-1-111-1-11-11
χ3511-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ5911-111-1-1-1-11i−i−ii
χ3611-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ5911-111-1-1-1-11−iii−i
χ372-202-2002-2000002-202-2002-200000−1−i31+i30−1−i31+i300−1−i31+i300000−1+i31−i30−1+i31−i300−1+i31−i300000−1−i31+i30−1−i31+i300−1−i31+i300000−1+i31−i30−1+i31−i300−1+i31−i3000002-202-2002-200000
χ382-202-200-22000002-202-200-2200000−1−i31+i30−1−i31+i3001+i3−1−i300000−1+i31−i30−1+i31−i3001−i3−1+i300000−1−i31+i30−1−i31+i3001+i3−1−i300000−1+i31−i30−1+i31−i3001−i3−1+i3000002-202-200-2200000
χ39444-1-1-1-10000000444-1-1-1-10000000−2−2i3−2−2i3−2−2i31+i321+i321+i321+i320000000−2+2i3−2+2i3−2+2i31−i321−i321−i321−i320000000−2−2i3−2−2i3−2−2i31+i321+i321+i321+i320000000−2+2i3−2+2i3−2+2i31−i321−i321−i321−i320000000444-1-1-1-10000000
χ4044-4-1-111000000044-4-1-1110000000−2−2i3−2−2i32+2i31+i321+i32−1−i32−1−i320000000−2+2i3−2+2i32−2i31−i321−i32−1+i32−1+i320000000−2−2i3−2−2i32+2i31+i321+i32−1−i32−1−i320000000−2+2i3−2+2i32−2i31−i321−i32−1+i32−1+i32000000044-4-1-1110000000
χ414-40-115−500000004-40-115−50000000−2−2i32+2i301+i32−1−i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ580000000−2+2i32−2i301−i32−1+i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ380000000−2−2i32+2i301+i32−1−i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ580000000−2+2i32−2i301−i32−1+i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ3800000004-40-115−50000000
χ424-40-11−5500000004-40-11−550000000−2−2i32+2i301+i32−1−i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ580000000−2+2i32−2i301−i32−1+i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ380000000−2−2i32+2i301+i32−1−i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ580000000−2+2i32−2i301−i32−1+i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ3800000004-40-11−550000000
χ4322222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111100000000000000
χ442222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-100000000000000
χ452222222-2-2-22i2i−2i−2i-2-2-2-2-2-2-2222−2i−2i2i2i-1-1-1-1-1-1-1111−i−iii-1-1-1-1-1-1-1111−i−iii1111111-1-1-1ii−i−i1111111-1-1-1ii−i−i00000000000000
χ462222222-2-2-2−2i−2i2i2i-2-2-2-2-2-2-22222i2i−2i−2i-1-1-1-1-1-1-1111ii−i−i-1-1-1-1-1-1-1111ii−i−i1111111-1-1-1−i−iii1111111-1-1-1−i−iii00000000000000
χ4722-222-2-222-22-22-2-2-22-2-222-2-22-22-22-1-11-1-111-1-11-11-11-1-11-1-111-1-11-11-1111-111-1-111-11-11-111-111-1-111-11-11-100000000000000
χ4822-222-2-222-2-22-22-2-22-2-222-2-222-22-2-1-11-1-111-1-111-11-1-1-11-1-111-1-111-11-111-111-1-111-1-11-1111-111-1-111-1-11-1100000000000000
χ4922-222-2-2-2-222i−2i−2i2i-2-22-2-22222-2−2i2i2i−2i-1-11-1-11111-1−iii−i-1-11-1-11111-1−iii−i11-111-1-1-1-11i−i−ii11-111-1-1-1-11i−i−ii00000000000000
χ5022-222-2-2-2-22−2i2i2i−2i-2-22-2-22222-22i−2i−2i2i-1-11-1-11111-1i−i−ii-1-11-1-11111-1i−i−ii11-111-1-1-1-11−iii−i11-111-1-1-1-11−iii−i00000000000000
χ514-404-4004-400000-440-4400-4400000-220-2200-2200000-220-2200-22000002-202-2002-2000002-202-2002-20000000000000000000
χ524-404-400-4400000-440-44004-400000-220-22002-200000-220-22002-2000002-202-200-22000002-202-200-220000000000000000000
χ53888-2-2-2-20000000-8-8-822220000000-4-4-411110000000-4-4-411110000000444-1-1-1-10000000444-1-1-1-1000000000000000000000
χ5488-8-2-2220000000-8-8822-2-20000000-4-4411-1-10000000-4-4411-1-1000000044-4-1-111000000044-4-1-111000000000000000000000
χ558-80-2225−250000000-8802-2−25250000000-4401-1−550000000-4401-1−5500000004-40-115−500000004-40-115−5000000000000000000000
χ568-80-22−25250000000-8802-225−250000000-4401-15−50000000-4401-15−500000004-40-11−5500000004-40-11−55000000000000000000000
χ5722222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-21−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000
χ582222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222221−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000000000
χ592222222-2-2-22i2i−2i−2i-2-2-2-2-2-2-2222−2i−2i2i2i1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ591+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ4300000000000000
χ602222222-2-2-2−2i−2i2i2i-2-2-2-2-2-2-22222i2i−2i−2i1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ591+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ4300000000000000
χ6122-222-2-222-22-22-2-2-22-2-222-2-22-22-221−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i3200000000000000
χ6222-222-2-222-2-22-22-2-22-2-222-2-222-22-21−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i3200000000000000
χ6322-222-2-2-2-222i−2i−2i2i-2-22-2-22222-2−2i2i2i−2i1−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ591+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ4300000000000000
χ6422-222-2-2-2-22−2i2i2i−2i-2-22-2-22222-22i−2i−2i2i1−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ591+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ4300000000000000
χ654-404-4004-400000-440-4400-44000001−i3−1+i301−i3−1+i3001−i3−1+i3000001+i3−1−i301+i3−1−i3001+i3−1−i300000−1+i31−i30−1+i31−i300−1+i31−i300000−1−i31+i30−1−i31+i300−1−i31+i30000000000000000000
χ664-404-400-4400000-440-44004-4000001−i3−1+i301−i3−1+i300−1+i31−i3000001+i3−1−i301+i3−1−i300−1−i31+i300000−1+i31−i30−1+i31−i3001−i3−1+i300000−1−i31+i30−1−i31+i3001+i3−1−i30000000000000000000
χ67888-2-2-2-20000000-8-8-8222200000002−2i32−2i32−2i3−1+i32−1+i32−1+i32−1+i3200000002+2i32+2i32+2i3−1−i32−1−i32−1−i32−1−i320000000−2+2i3−2+2i3−2+2i31−i321−i321−i321−i320000000−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32000000000000000000000
χ6888-8-2-2220000000-8-8822-2-200000002−2i32−2i3−2+2i3−1+i32−1+i321−i321−i3200000002+2i32+2i3−2−2i3−1−i32−1−i321+i321+i320000000−2+2i3−2+2i32−2i31−i321−i32−1+i32−1+i320000000−2−2i3−2−2i32+2i31+i321+i32−1−i32−1−i32000000000000000000000
χ698-80-2225−250000000-8802-2−252500000002−2i3−2+2i30−1+i321−i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ3800000002+2i3−2−2i30−1−i321+i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ580000000−2+2i32−2i301−i32−1+i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ380000000−2−2i32+2i301+i32−1−i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ58000000000000000000000
χ708-80-22−25250000000-8802-225−2500000002−2i3−2+2i30−1+i321−i32−ζ2+ζ14+ζ26−ζ38ζ2−ζ14−ζ26+ζ3800000002+2i3−2−2i30−1−i321+i32−ζ22+ζ34+ζ46−ζ58ζ22−ζ34−ζ46+ζ580000000−2+2i32−2i301−i32−1+i32ζ2−ζ14−ζ26+ζ38−ζ2+ζ14+ζ26−ζ380000000−2−2i32+2i301+i32−1−i32ζ22−ζ34−ζ46+ζ58−ζ22+ζ34+ζ46−ζ58000000000000000000000
χ7122222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-21+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000
χ722222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222221+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000000000
χ732222222-2-2-22i2i−2i−2i-2-2-2-2-2-2-2222−2i−2i2i2i1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ431−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ5900000000000000
χ742222222-2-2-2−2i−2i2i2i-2-2-2-2-2-2-22222i2i−2i−2i1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ431−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ5900000000000000
χ7522-222-2-222-22-22-2-2-22-2-222-2-22-22-221+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i3200000000000000
χ7622-222-2-222-2-22-22-2-22-2-222-2-222-22-21+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i3200000000000000
χ7722-222-2-2-2-222i−2i−2i2i-2-22-2-22222-2−2i2i2i−2i1+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ431−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ5900000000000000
χ7822-222-2-2-2-22−2i2i2i−2i-2-22-2-22222-22i−2i−2i2i1+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ431−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ5900000000000000
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χ85333333333333333333333333333300000000000000000000000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ863333333333-3-3-3-33333333333-3-3-3-300000000000000000000000000000000000000000000000000000000-1-1-1-1-1-1-1-1-1-11111
χ873333333-3-3-33i3i−3i−3i3333333-3-3-33i3i−3i−3i00000000000000000000000000000000000000000000000000000000-1-1-1-1-1-1-1111−i−iii
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χ8933-333-3-333-33-33-333-333-3-333-33-33-300000000000000000000000000000000000000000000000000000000-1-11-1-111-1-11-11-11
χ9033-333-3-333-3-33-3333-333-3-333-3-33-3300000000000000000000000000000000000000000000000000000000-1-11-1-111-1-111-11-1
χ9133-333-3-3-3-333i−3i−3i3i33-333-3-3-3-333i−3i−3i3i00000000000000000000000000000000000000000000000000000000-1-11-1-11111-1−iii−i
χ9233-333-3-3-3-33−3i3i3i−3i33-333-3-3-3-33−3i3i3i−3i00000000000000000000000000000000000000000000000000000000-1-11-1-11111-1i−i−ii
χ936-606-6006-6000006-606-6006-60000000000000000000000000000000000000000000000000000000000000-220-2200-2200000
χ946-606-600-66000006-606-600-660000000000000000000000000000000000000000000000000000000000000-220-22002-200000
χ95121212-3-3-3-30000000121212-3-3-3-3000000000000000000000000000000000000000000000000000000000000000-4-4-411110000000
χ961212-12-3-33300000001212-12-3-333000000000000000000000000000000000000000000000000000000000000000-4-4411-1-10000000
χ9712-120-3335−35000000012-120-3335−35000000000000000000000000000000000000000000000000000000000000000-4401-1−550000000
χ9812-120-33−3535000000012-120-33−3535000000000000000000000000000000000000000000000000000000000000000-4401-15−50000000

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