Finite Group Databasebeta

← Group #72231373

Character table — Group #72231373

Order 4800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size11444488881010202020202525505050503312121212242424243030606060607575150150150150441616161632323232404080808080100100200200200200441616161632323232404080808080100100200200200200
order125510105510104420202020224444221010101010101010442020202022444436151530301515303012126060606066121212123615153030151530301212606060606612121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1111111111111111111-1-1-1-1
χ311111111111-111-1-1-1-1ii−i−i11111111111-111-1-1-1-1ii−i−i11111111111-111-1-1-1-1ii−i−i11111111111-111-1-1-1-1ii−i−i
χ411111111111-111-1-1-1-1−i−iii11111111111-111-1-1-1-1−i−iii11111111111-111-1-1-1-1−i−iii11111111111-111-1-1-1-1−i−iii
χ51111111111-11-1-111-1-1i−ii−i1111111111-11-1-111-1-1i−ii−i1111111111-11-1-111-1-1i−ii−i1111111111-11-1-111-1-1i−ii−i
χ61111111111-11-1-111-1-1−ii−ii1111111111-11-1-111-1-1−ii−ii1111111111-11-1-111-1-1−ii−ii1111111111-11-1-111-1-1−ii−ii
χ71111111111-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1111-1-11
χ81111111111-1-1-1-1-1-111-111-11111111111-1-1-1-1-1-111-111-11111111111-1-1-1-1-1-111-111-11111111111-1-1-1-1-1-111-111-1
χ92-222-2-222-2-20000002-200002-222-2-222-2-20000002-200002-222-2-222-2-20000002-200002-222-2-222-2-20000002-20000
χ102-222-2-222-2-2000000-2200002-222-2-222-2-2000000-2200002-222-2-222-2-2000000-2200002-222-2-222-2-2000000-220000
χ11444-14-1-1-1-1-10400-1-1000000444-14-1-1-1-1-10400-1-1000000444-14-1-1-1-1-10400-1-1000000444-14-1-1-1-1-10400-1-1000000
χ12444-14-1-1-1-1-10-40011000000444-14-1-1-1-1-10-40011000000444-14-1-1-1-1-10-40011000000444-14-1-1-1-1-10-40011000000
χ1344-14-14-1-1-1-140-1-10000000044-14-14-1-1-1-140-1-10000000044-14-14-1-1-1-140-1-10000000044-14-14-1-1-1-140-1-100000000
χ1444-14-14-1-1-1-1-40110000000044-14-14-1-1-1-1-40110000000044-14-14-1-1-1-1-40110000000044-14-14-1-1-1-1-401100000000
χ154-44-1-41-1-1110000i5−i50000004-44-1-41-1-1110000i5−i50000004-44-1-41-1-1110000i5−i50000004-44-1-41-1-1110000i5−i5000000
χ164-44-1-41-1-1110000−i5i50000004-44-1-41-1-1110000−i5i50000004-44-1-41-1-1110000−i5i50000004-44-1-41-1-1110000−i5i5000000
χ174-4-141-4-1-11100i5−i5000000004-4-141-4-1-11100i5−i5000000004-4-141-4-1-11100i5−i5000000004-4-141-4-1-11100i5−i500000000
χ184-4-141-4-1-11100−i5i5000000004-4-141-4-1-11100−i5i5000000004-4-141-4-1-11100−i5i5000000004-4-141-4-1-11100−i5i500000000
χ1988-2-2-2-23-23-200000000000088-2-2-2-23-23-200000000000088-2-2-2-23-23-200000000000088-2-2-2-23-23-2000000000000
χ2088-2-2-2-2-23-2300000000000088-2-2-2-2-23-2300000000000088-2-2-2-2-23-2300000000000088-2-2-2-2-23-23000000000000
χ218-8-2-2223-2-320000000000008-8-2-2223-2-320000000000008-8-2-2223-2-320000000000008-8-2-2223-2-32000000000000
χ228-8-2-222-232-30000000000008-8-2-222-232-30000000000008-8-2-222-232-30000000000008-8-2-222-232-3000000000000
χ2311111111111111111111111111111111111111111111−1+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
χ24111111111111111111-1-1-1-1111111111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32
χ2511111111111-111-1-1-1-1ii−i−i11111111111-111-1-1-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43
χ2611111111111-111-1-1-1-1−i−iii11111111111-111-1-1-1-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32ζ7+ζ19+ζ31+ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−ζ7−ζ19−ζ31−ζ43
χ271111111111-11-1-111-1-1i−ii−i1111111111-11-1-111-1-1i−ii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43
χ281111111111-11-1-111-1-1−ii−ii1111111111-11-1-111-1-1−ii−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43
χ291111111111-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ301111111111-1-1-1-1-1-111-111-11111111111-1-1-1-1-1-111-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+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+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ312-222-2-222-2-20000002-200002-222-2-222-2-20000002-20000−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000−1+i31−i30000−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000−1−i31+i30000
χ322-222-2-222-2-2000000-2200002-222-2-222-2-2000000-220000−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000001−i3−1+i30000−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000001+i3−1−i30000
χ33444-14-1-1-1-1-10400-1-1000000444-14-1-1-1-1-10400-1-1000000−2+2i3−2+2i3−2+2i31−i32−2+2i31−i321−i321−i321−i321−i320−2+2i3001−i321−i32000000−2−2i3−2−2i3−2−2i31+i32−2−2i31+i321+i321+i321+i321+i320−2−2i3001+i321+i32000000
χ34444-14-1-1-1-1-10-40011000000444-14-1-1-1-1-10-40011000000−2+2i3−2+2i3−2+2i31−i32−2+2i31−i321−i321−i321−i321−i3202−2i300−1+i32−1+i32000000−2−2i3−2−2i3−2−2i31+i32−2−2i31+i321+i321+i321+i321+i3202+2i300−1−i32−1−i32000000
χ3544-14-14-1-1-1-140-1-10000000044-14-14-1-1-1-140-1-100000000−2+2i3−2+2i31−i32−2+2i31−i32−2+2i31−i321−i321−i321−i32−2+2i301−i321−i3200000000−2−2i3−2−2i31+i32−2−2i31+i32−2−2i31+i321+i321+i321+i32−2−2i301+i321+i3200000000
χ3644-14-14-1-1-1-1-40110000000044-14-14-1-1-1-1-401100000000−2+2i3−2+2i31−i32−2+2i31−i32−2+2i31−i321−i321−i321−i322−2i30−1+i32−1+i3200000000−2−2i3−2−2i31+i32−2−2i31+i32−2−2i31+i321+i321+i321+i322+2i30−1−i32−1−i3200000000
χ374-44-1-41-1-1110000i5−i50000004-44-1-41-1-1110000i5−i5000000−2+2i32−2i3−2+2i31−i322−2i3−1+i321−i321−i32−1+i32−1+i320000−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59000000−2−2i32+2i3−2−2i31+i322+2i3−1−i321+i321+i32−1−i32−1−i320000ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ43000000
χ384-44-1-41-1-1110000−i5i50000004-44-1-41-1-1110000−i5i5000000−2+2i32−2i3−2+2i31−i322−2i3−1+i321−i321−i32−1+i32−1+i320000ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ59000000−2−2i32+2i3−2−2i31+i322+2i3−1−i321+i321+i32−1−i32−1−i320000−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43000000
χ394-4-141-4-1-11100i5−i5000000004-4-141-4-1-11100i5−i500000000−2+2i32−2i31−i32−2+2i3−1+i322−2i31−i321−i32−1+i32−1+i3200−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ5900000000−2−2i32+2i31+i32−2−2i3−1−i322+2i31+i321+i32−1−i32−1−i3200ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ4300000000
χ404-4-141-4-1-11100−i5i5000000004-4-141-4-1-11100−i5i500000000−2+2i32−2i31−i32−2+2i3−1+i322−2i31−i321−i32−1+i32−1+i3200ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ5900000000−2−2i32+2i31+i32−2−2i3−1−i322+2i31+i321+i32−1−i32−1−i3200−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ4300000000
χ4188-2-2-2-23-23-200000000000088-2-2-2-23-23-2000000000000−4+4i3−4+4i31−i31−i31−i31−i3−3+3i321−i3−3+3i321−i3000000000000−4−4i3−4−4i31+i31+i31+i31+i3−3−3i321+i3−3−3i321+i3000000000000
χ4288-2-2-2-2-23-2300000000000088-2-2-2-2-23-23000000000000−4+4i3−4+4i31−i31−i31−i31−i31−i3−3+3i321−i3−3+3i32000000000000−4−4i3−4−4i31+i31+i31+i31+i31+i3−3−3i321+i3−3−3i32000000000000
χ438-8-2-2223-2-320000000000008-8-2-2223-2-32000000000000−4+4i34−4i31−i31−i3−1+i3−1+i3−3+3i321−i33−3i32−1+i3000000000000−4−4i34+4i31+i31+i3−1−i3−1−i3−3−3i321+i33+3i32−1−i3000000000000
χ448-8-2-222-232-30000000000008-8-2-222-232-3000000000000−4+4i34−4i31−i31−i3−1+i3−1+i31−i3−3+3i32−1+i33−3i32000000000000−4−4i34+4i31+i31+i3−1−i3−1−i31+i3−3−3i32−1−i33+3i32000000000000
χ4511111111111111111111111111111111111111111111−1−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
χ46111111111111111111-1-1-1-1111111111111111111-1-1-1-1−1−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−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+i321−i321−i321−i321−i32
χ4711111111111-111-1-1-1-1ii−i−i11111111111-111-1-1-1-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+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+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59
χ4811111111111-111-1-1-1-1−i−iii11111111111-111-1-1-1-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+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+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32ζ11+ζ23+ζ47+ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59−ζ11−ζ23−ζ47−ζ59
χ491111111111-11-1-111-1-1i−ii−i1111111111-11-1-111-1-1i−ii−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59
χ501111111111-11-1-111-1-1−ii−ii1111111111-11-1-111-1-1−ii−ii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59
χ511111111111-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+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−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ521111111111-1-1-1-1-1-111-111-11111111111-1-1-1-1-1-111-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−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−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ532-222-2-222-2-20000002-200002-222-2-222-2-20000002-20000−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000−1−i31+i30000−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000−1+i31−i30000
χ542-222-2-222-2-2000000-2200002-222-2-222-2-2000000-220000−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000001+i3−1−i30000−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000001−i3−1+i30000
χ55444-14-1-1-1-1-10400-1-1000000444-14-1-1-1-1-10400-1-1000000−2−2i3−2−2i3−2−2i31+i32−2−2i31+i321+i321+i321+i321+i320−2−2i3001+i321+i32000000−2+2i3−2+2i3−2+2i31−i32−2+2i31−i321−i321−i321−i321−i320−2+2i3001−i321−i32000000
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χ5744-14-14-1-1-1-140-1-10000000044-14-14-1-1-1-140-1-100000000−2−2i3−2−2i31+i32−2−2i31+i32−2−2i31+i321+i321+i321+i32−2−2i301+i321+i3200000000−2+2i3−2+2i31−i32−2+2i31−i32−2+2i31−i321−i321−i321−i32−2+2i301−i321−i3200000000
χ5844-14-14-1-1-1-1-40110000000044-14-14-1-1-1-1-401100000000−2−2i3−2−2i31+i32−2−2i31+i32−2−2i31+i321+i321+i321+i322+2i30−1−i32−1−i3200000000−2+2i3−2+2i31−i32−2+2i31−i32−2+2i31−i321−i321−i321−i322−2i30−1+i32−1+i3200000000
χ594-44-1-41-1-1110000i5−i50000004-44-1-41-1-1110000i5−i5000000−2−2i32+2i3−2−2i31+i322+2i3−1−i321+i321+i32−1−i32−1−i320000ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ43000000−2+2i32−2i3−2+2i31−i322−2i3−1+i321−i321−i32−1+i32−1+i320000−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ59000000
χ604-44-1-41-1-1110000−i5i50000004-44-1-41-1-1110000−i5i5000000−2−2i32+2i3−2−2i31+i322+2i3−1−i321+i321+i32−1−i32−1−i320000−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ43000000−2+2i32−2i3−2+2i31−i322−2i3−1+i321−i321−i32−1+i32−1+i320000ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ59000000
χ614-4-141-4-1-11100i5−i5000000004-4-141-4-1-11100i5−i500000000−2−2i32+2i31+i32−2−2i3−1−i322+2i31+i321+i32−1−i32−1−i3200ζ7−ζ19−ζ31+ζ43−ζ7+ζ19+ζ31−ζ4300000000−2+2i32−2i31−i32−2+2i3−1+i322−2i31−i321−i32−1+i32−1+i3200−ζ11+ζ23+ζ47−ζ59ζ11−ζ23−ζ47+ζ5900000000
χ624-4-141-4-1-11100−i5i5000000004-4-141-4-1-11100−i5i500000000−2−2i32+2i31+i32−2−2i3−1−i322+2i31+i321+i32−1−i32−1−i3200−ζ7+ζ19+ζ31−ζ43ζ7−ζ19−ζ31+ζ4300000000−2+2i32−2i31−i32−2+2i3−1+i322−2i31−i321−i32−1+i32−1+i3200ζ11−ζ23−ζ47+ζ59−ζ11+ζ23+ζ47−ζ5900000000
χ6388-2-2-2-23-23-200000000000088-2-2-2-23-23-2000000000000−4−4i3−4−4i31+i31+i31+i31+i3−3−3i321+i3−3−3i321+i3000000000000−4+4i3−4+4i31−i31−i31−i31−i3−3+3i321−i3−3+3i321−i3000000000000
χ6488-2-2-2-2-23-2300000000000088-2-2-2-2-23-23000000000000−4−4i3−4−4i31+i31+i31+i31+i31+i3−3−3i321+i3−3−3i32000000000000−4+4i3−4+4i31−i31−i31−i31−i31−i3−3+3i321−i3−3+3i32000000000000
χ658-8-2-2223-2-320000000000008-8-2-2223-2-32000000000000−4−4i34+4i31+i31+i3−1−i3−1−i3−3−3i321+i33+3i32−1−i3000000000000−4+4i34−4i31−i31−i3−1+i3−1+i3−3+3i321−i33−3i32−1+i3000000000000
χ668-8-2-222-232-30000000000008-8-2-222-232-3000000000000−4−4i34+4i31+i31+i3−1−i3−1−i31+i3−3−3i32−1−i33+3i32000000000000−4+4i34−4i31−i31−i3−1+i3−1+i31−i3−3+3i32−1+i33−3i32000000000000
χ673333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ68333333333333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000000
χ6933333333333-333-3-3-3-33i3i−3i−3i-1-1-1-1-1-1-1-1-1-1-11-1-11111−i−iii00000000000000000000000000000000000000000000
χ7033333333333-333-3-3-3-3−3i−3i3i3i-1-1-1-1-1-1-1-1-1-1-11-1-11111ii−i−i00000000000000000000000000000000000000000000
χ713333333333-33-3-333-3-33i−3i3i−3i-1-1-1-1-1-1-1-1-1-11-111-1-111−ii−ii00000000000000000000000000000000000000000000
χ723333333333-33-3-333-3-3−3i3i−3i3i-1-1-1-1-1-1-1-1-1-11-111-1-111i−ii−i00000000000000000000000000000000000000000000
χ733333333333-3-3-3-3-3-3333-3-33-1-1-1-1-1-1-1-1-1-1111111-1-1-111-100000000000000000000000000000000000000000000
χ743333333333-3-3-3-3-3-333-333-3-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1100000000000000000000000000000000000000000000
χ756-666-6-666-6-60000006-60000-22-2-222-2-222000000-22000000000000000000000000000000000000000000000000
χ766-666-6-666-6-6000000-660000-22-2-222-2-2220000002-2000000000000000000000000000000000000000000000000
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χ78121212-312-3-3-3-3-30-120033000000-4-4-41-4111110400-1-100000000000000000000000000000000000000000000000000
χ791212-312-312-3-3-3-3120-3-300000000-4-41-41-41111-40110000000000000000000000000000000000000000000000000000
χ801212-312-312-3-3-3-3-1203300000000-4-41-41-4111140-1-10000000000000000000000000000000000000000000000000000
χ8112-1212-3-123-3-33300003i5−3i5000000-44-414-111-1-10000−i5i500000000000000000000000000000000000000000000000000
χ8212-1212-3-123-3-3330000−3i53i5000000-44-414-111-1-10000i5−i500000000000000000000000000000000000000000000000000
χ8312-12-3123-12-3-333003i5−3i500000000-441-4-1411-1-100−i5i50000000000000000000000000000000000000000000000000000
χ8412-12-3123-12-3-33300−3i53i500000000-441-4-1411-1-100i5−i50000000000000000000000000000000000000000000000000000
χ852424-6-6-6-69-69-6000000000000-8-82222-32-3200000000000000000000000000000000000000000000000000000000
χ862424-6-6-6-6-69-69000000000000-8-822222-32-300000000000000000000000000000000000000000000000000000000
χ8724-24-6-6669-6-96000000000000-8822-2-2-323-200000000000000000000000000000000000000000000000000000000
χ8824-24-6-666-696-9000000000000-8822-2-22-3-2300000000000000000000000000000000000000000000000000000000

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