Finite Group Databasebeta

← Group #13166193

Character table — Group #13166193

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112488888888991818181818363636363636363636363611248888888899181818181836363636363636363636361124888888889918181818183636363636363636363636
order12243666121212124448888288161616161616161636612366612121212121212242424246242448484848484848483661236661212121212121224242424624244848484848484848
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-11-1-1iiii−i−i−i−i111111111111111-1-1-1-11-1-1iiii−i−i−i−i111111111111111-1-1-1-11-1-1iiii−i−i−i−i
χ4111111111111111-1-1-1-11-1-1−i−i−i−iiiii111111111111111-1-1-1-11-1-1−i−i−i−iiiii111111111111111-1-1-1-11-1-1−i−i−i−iiiii
χ5111111111111-1-1-1ii−i−i-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13111111111111-1-1-1ii−i−i-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13111111111111-1-1-1ii−i−i-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ6111111111111-1-1-1ii−i−i-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13111111111111-1-1-1ii−i−i-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13111111111111-1-1-1ii−i−i-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ7111111111111-1-1-1−i−iii-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23111111111111-1-1-1−i−iii-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23111111111111-1-1-1−i−iii-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ8111111111111-1-1-1−i−iii-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23111111111111-1-1-1−i−iii-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23111111111111-1-1-1−i−iii-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ9111-11111-1-1-1-11111111-1-1-11-11-11-11-1111-11111-1-1-1-11111111-1-1-11-11-11-11-1111-11111-1-1-1-11111111-1-1-11-11-11-11-1
χ10111-11111-1-1-1-11111111-1-1-1-11-11-11-11111-11111-1-1-1-11111111-1-1-1-11-11-11-11111-11111-1-1-1-11111111-1-1-1-11-11-11-11
χ11111-11111-1-1-1-1111-1-1-1-1-111i−ii−i−ii−ii111-11111-1-1-1-1111-1-1-1-1-111i−ii−i−ii−ii111-11111-1-1-1-1111-1-1-1-1-111i−ii−i−ii−ii
χ12111-11111-1-1-1-1111-1-1-1-1-111−ii−iii−ii−i111-11111-1-1-1-1111-1-1-1-1-111−ii−iii−ii−i111-11111-1-1-1-1111-1-1-1-1-111−ii−iii−ii−i
χ13111-11111-1-1-1-1-1-1-1ii−i−i1−iiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13111-11111-1-1-1-1-1-1-1ii−i−i1−iiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13111-11111-1-1-1-1-1-1-1ii−i−i1−iiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13
χ14111-11111-1-1-1-1-1-1-1ii−i−i1−ii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13111-11111-1-1-1-1-1-1-1ii−i−i1−ii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13111-11111-1-1-1-1-1-1-1ii−i−i1−ii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13
χ15111-11111-1-1-1-1-1-1-1−i−iii1i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23111-11111-1-1-1-1-1-1-1−i−iii1i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23111-11111-1-1-1-1-1-1-1−i−iii1i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23
χ16111-11111-1-1-1-1-1-1-1−i−iii1i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23111-11111-1-1-1-1-1-1-1−i−iii1i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23111-11111-1-1-1-1-1-1-1−i−iii1i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23
χ1722-202-2-22000022-22-22-20000000000022-202-2-22000022-22-22-20000000000022-202-2-22000022-22-22-200000000000
χ1822-202-2-22000022-2-22-220000000000022-202-2-22000022-2-22-220000000000022-202-2-22000022-2-22-2200000000000
χ1922-202-2-220000-2-222i−2i−2i2i0000000000022-202-2-220000-2-222i−2i−2i2i0000000000022-202-2-220000-2-222i−2i−2i2i00000000000
χ2022-202-2-220000-2-22−2i2i2i−2i0000000000022-202-2-220000-2-22−2i2i2i−2i0000000000022-202-2-220000-2-22−2i2i2i−2i00000000000
χ214-400400-400004i−4i00000000000000004-400400-400004i−4i00000000000000004-400400-400004i−4i0000000000000000
χ224-400400-40000−4i4i00000000000000004-400400-40000−4i4i00000000000000004-400400-40000−4i4i0000000000000000
χ238888-1-1-1-1-1-1-1-10000000000000000008888-1-1-1-1-1-1-1-10000000000000000008888-1-1-1-1-1-1-1-1000000000000000000
χ24888-8-1-1-1-11111000000000000000000888-8-1-1-1-11111000000000000000000888-8-1-1-1-11111000000000000000000
χ2588-80-111-133-3-300000000000000000088-80-111-133-3-300000000000000000088-80-111-133-3-3000000000000000000
χ2688-80-111-1-3-33300000000000000000088-80-111-1-3-33300000000000000000088-80-111-1-3-333000000000000000000
χ278-800-13-313i−3i3i−3i0000000000000000008-800-13-313i−3i3i−3i0000000000000000008-800-13-313i−3i3i−3i000000000000000000
χ288-800-13-31−3i3i−3i3i0000000000000000008-800-13-31−3i3i−3i3i0000000000000000008-800-13-31−3i3i−3i3i000000000000000000
χ298-800-1-3313i−3i−3i3i0000000000000000008-800-1-3313i−3i−3i3i0000000000000000008-800-1-3313i−3i−3i3i000000000000000000
χ308-800-1-331−3i3i3i−3i0000000000000000008-800-1-331−3i3i3i−3i0000000000000000008-800-1-331−3i3i3i−3i000000000000000000
χ31111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32
χ321111111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ33111111111111111-1-1-1-11-1-1iiii−i−i−i−i−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+i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1−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−i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22
χ34111111111111111-1-1-1-11-1-1−i−i−i−iiiii−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+i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−1−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−i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22
χ35111111111111-1-1-1ii−i−i-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−1+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−i32ζ14ζ14−ζ14−ζ141−i32ζ14−ζ14−ζ23−ζ23ζ23ζ23−ζ5−ζ5ζ5ζ5−1−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+i32ζ22ζ22−ζ22−ζ221+i32ζ22−ζ22−ζ7−ζ7ζ7ζ7−ζ13−ζ13ζ13ζ13
χ36111111111111-1-1-1ii−i−i-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−1+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−i32ζ14ζ14−ζ14−ζ141−i32ζ14−ζ14ζ23ζ23−ζ23−ζ23ζ5ζ5−ζ5−ζ5−1−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+i32ζ22ζ22−ζ22−ζ221+i32ζ22−ζ22ζ7ζ7−ζ7−ζ7ζ13ζ13−ζ13−ζ13
χ37111111111111-1-1-1−i−iii-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−1+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−i32−ζ14−ζ14ζ14ζ141−i32−ζ14ζ14−ζ5−ζ5ζ5ζ5−ζ23−ζ23ζ23ζ23−1−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+i32−ζ22−ζ22ζ22ζ221+i32−ζ22ζ22−ζ13−ζ13ζ13ζ13−ζ7−ζ7ζ7ζ7
χ38111111111111-1-1-1−i−iii-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−1+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−i32−ζ14−ζ14ζ14ζ141−i32−ζ14ζ14ζ5ζ5−ζ5−ζ5ζ23ζ23−ζ23−ζ23−1−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+i32−ζ22−ζ22ζ22ζ221+i32−ζ22ζ22ζ13ζ13−ζ13−ζ13ζ7ζ7−ζ7−ζ7
χ39111-11111-1-1-1-11111111-1-1-11-11-11-11-1−1+i32−1+i32−1+i321−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+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i321+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−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ40111-11111-1-1-1-11111111-1-1-1-11-11-11-11−1+i32−1+i32−1+i321−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+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+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−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ41111-11111-1-1-1-1111-1-1-1-1-111i−ii−i−ii−ii−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ42111-11111-1-1-1-1111-1-1-1-1-111−ii−iii−ii−i−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22
χ43111-11111-1-1-1-1-1-1-1ii−i−i1−iiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−ζ14ζ14−ζ23ζ23ζ23−ζ23−ζ5ζ5ζ5−ζ5−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−ζ22ζ22−ζ7ζ7ζ7−ζ7−ζ13ζ13ζ13−ζ13
χ44111-11111-1-1-1-1-1-1-1ii−i−i1−ii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−ζ14ζ14ζ23−ζ23−ζ23ζ23ζ5−ζ5−ζ5ζ5−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−ζ22ζ22ζ7−ζ7−ζ7ζ7ζ13−ζ13−ζ13ζ13
χ45111-11111-1-1-1-1-1-1-1−i−iii1i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32ζ14−ζ14−ζ5ζ5ζ5−ζ5−ζ23ζ23ζ23−ζ23−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32ζ22−ζ22−ζ13ζ13ζ13−ζ13−ζ7ζ7ζ7−ζ7
χ46111-11111-1-1-1-1-1-1-1−i−iii1i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32ζ14−ζ14ζ5−ζ5−ζ5ζ5ζ23−ζ23−ζ23ζ23−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32ζ22−ζ22ζ13−ζ13−ζ13ζ13ζ7−ζ7−ζ7ζ7
χ4722-202-2-22000022-22-22-200000000000−1+i3−1+i31−i30−1+i31−i31−i3−1+i30000−1+i3−1+i31−i3−1+i31−i3−1+i31−i300000000000−1−i3−1−i31+i30−1−i31+i31+i3−1−i30000−1−i3−1−i31+i3−1−i31+i3−1−i31+i300000000000
χ4822-202-2-22000022-2-22-2200000000000−1+i3−1+i31−i30−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i3−1+i31−i3−1+i300000000000−1−i3−1−i31+i30−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i3−1−i31+i3−1−i300000000000
χ4922-202-2-220000-2-222i−2i−2i2i00000000000−1+i3−1+i31−i30−1+i31−i31−i3−1+i300001−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ1400000000000−1−i3−1−i31+i30−1−i31+i31+i3−1−i300001+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ2200000000000
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χ538888-1-1-1-1-1-1-1-1000000000000000000−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000
χ54888-8-1-1-1-11111000000000000000000−4+4i3−4+4i3−4+4i34−4i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000000000−4−4i3−4−4i3−4−4i34+4i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000000000
χ5588-80-111-133-3-3000000000000000000−4+4i3−4+4i34−4i301−i32−1+i32−1+i321−i32−3+3i32−3+3i323−3i323−3i32000000000000000000−4−4i3−4−4i34+4i301+i32−1−i32−1−i321+i32−3−3i32−3−3i323+3i323+3i32000000000000000000
χ5688-80-111-1-3-333000000000000000000−4+4i3−4+4i34−4i301−i32−1+i32−1+i321−i323−3i323−3i32−3+3i32−3+3i32000000000000000000−4−4i3−4−4i34+4i301+i32−1−i32−1−i321+i323+3i323+3i32−3−3i32−3−3i32000000000000000000
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χ61111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32
χ621111111111111111111111-1-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ63111111111111111-1-1-1-11-1-1iiii−i−i−i−i−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−i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1+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+i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14
χ64111111111111111-1-1-1-11-1-1−i−i−i−iiiii−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−i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−1+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+i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14
χ65111111111111-1-1-1ii−i−i-1i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−1−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+i32ζ22ζ22−ζ22−ζ221+i32ζ22−ζ22−ζ7−ζ7ζ7ζ7−ζ13−ζ13ζ13ζ13−1+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−i32ζ14ζ14−ζ14−ζ141−i32ζ14−ζ14−ζ23−ζ23ζ23ζ23−ζ5−ζ5ζ5ζ5
χ66111111111111-1-1-1ii−i−i-1i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−1−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+i32ζ22ζ22−ζ22−ζ221+i32ζ22−ζ22ζ7ζ7−ζ7−ζ7ζ13ζ13−ζ13−ζ13−1+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−i32ζ14ζ14−ζ14−ζ141−i32ζ14−ζ14ζ23ζ23−ζ23−ζ23ζ5ζ5−ζ5−ζ5
χ67111111111111-1-1-1−i−iii-1−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−1−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+i32−ζ22−ζ22ζ22ζ221+i32−ζ22ζ22−ζ13−ζ13ζ13ζ13−ζ7−ζ7ζ7ζ7−1+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−i32−ζ14−ζ14ζ14ζ141−i32−ζ14ζ14−ζ5−ζ5ζ5ζ5−ζ23−ζ23ζ23ζ23
χ68111111111111-1-1-1−i−iii-1−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−1−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+i32−ζ22−ζ22ζ22ζ221+i32−ζ22ζ22ζ13ζ13−ζ13−ζ13ζ7ζ7−ζ7−ζ7−1+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−i32−ζ14−ζ14ζ14ζ141−i32−ζ14ζ14ζ5ζ5−ζ5−ζ5ζ23ζ23−ζ23−ζ23
χ69111-11111-1-1-1-11111111-1-1-11-11-11-11-1−1−i32−1−i32−1−i321+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−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i321−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+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ70111-11111-1-1-1-11111111-1-1-1-11-11-11-11−1−i32−1−i32−1−i321+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−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−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+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ71111-11111-1-1-1-1111-1-1-1-1-111i−ii−i−ii−ii−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ72111-11111-1-1-1-1111-1-1-1-1-111−ii−iii−ii−i−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14
χ73111-11111-1-1-1-1-1-1-1ii−i−i1−iiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−ζ22ζ22−ζ7ζ7ζ7−ζ7−ζ13ζ13ζ13−ζ13−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−ζ14ζ14−ζ23ζ23ζ23−ζ23−ζ5ζ5ζ5−ζ5
χ74111-11111-1-1-1-1-1-1-1ii−i−i1−ii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−ζ22ζ22ζ7−ζ7−ζ7ζ7ζ13−ζ13−ζ13ζ13−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−ζ14ζ14ζ23−ζ23−ζ23ζ23ζ5−ζ5−ζ5ζ5
χ75111-11111-1-1-1-1-1-1-1−i−iii1i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32ζ22−ζ22−ζ13ζ13ζ13−ζ13−ζ7ζ7ζ7−ζ7−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32ζ14−ζ14−ζ5ζ5ζ5−ζ5−ζ23ζ23ζ23−ζ23
χ76111-11111-1-1-1-1-1-1-1−i−iii1i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32ζ22−ζ22ζ13−ζ13−ζ13ζ13ζ7−ζ7−ζ7ζ7−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32ζ14−ζ14ζ5−ζ5−ζ5ζ5ζ23−ζ23−ζ23ζ23
χ7722-202-2-22000022-22-22-200000000000−1−i3−1−i31+i30−1−i31+i31+i3−1−i30000−1−i3−1−i31+i3−1−i31+i3−1−i31+i300000000000−1+i3−1+i31−i30−1+i31−i31−i3−1+i30000−1+i3−1+i31−i3−1+i31−i3−1+i31−i300000000000
χ7822-202-2-22000022-2-22-2200000000000−1−i3−1−i31+i30−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i3−1−i31+i3−1−i300000000000−1+i3−1+i31−i30−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i3−1+i31−i3−1+i300000000000
χ7922-202-2-220000-2-222i−2i−2i2i00000000000−1−i3−1−i31+i30−1−i31+i31+i3−1−i300001+i31+i3−1−i32ζ22−2ζ22−2ζ222ζ2200000000000−1+i3−1+i31−i30−1+i31−i31−i3−1+i300001−i31−i3−1+i32ζ14−2ζ14−2ζ142ζ1400000000000
χ8022-202-2-220000-2-22−2i2i2i−2i00000000000−1−i3−1−i31+i30−1−i31+i31+i3−1−i300001+i31+i3−1−i3−2ζ222ζ222ζ22−2ζ2200000000000−1+i3−1+i31−i30−1+i31−i31−i3−1+i300001−i31−i3−1+i3−2ζ142ζ142ζ14−2ζ1400000000000
χ814-400400-400004i−4i0000000000000000−2−2i32+2i300−2−2i3002+2i300004ζ22−4ζ220000000000000000−2+2i32−2i300−2+2i3002−2i300004ζ14−4ζ140000000000000000
χ824-400400-40000−4i4i0000000000000000−2−2i32+2i300−2−2i3002+2i30000−4ζ224ζ220000000000000000−2+2i32−2i300−2+2i3002−2i30000−4ζ144ζ140000000000000000
χ838888-1-1-1-1-1-1-1-1000000000000000000−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000
χ84888-8-1-1-1-11111000000000000000000−4−4i3−4−4i3−4−4i34+4i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000000000−4+4i3−4+4i3−4+4i34−4i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000000000
χ8588-80-111-133-3-3000000000000000000−4−4i3−4−4i34+4i301+i32−1−i32−1−i321+i32−3−3i32−3−3i323+3i323+3i32000000000000000000−4+4i3−4+4i34−4i301−i32−1+i32−1+i321−i32−3+3i32−3+3i323−3i323−3i32000000000000000000
χ8688-80-111-1-3-333000000000000000000−4−4i3−4−4i34+4i301+i32−1−i32−1−i321+i323+3i323+3i32−3−3i32−3−3i32000000000000000000−4+4i3−4+4i34−4i301−i32−1+i32−1+i321−i323−3i323−3i32−3+3i32−3+3i32000000000000000000
χ878-800-13-313i−3i3i−3i000000000000000000−4−4i34+4i3001+i32−3−3i323+3i32−1−i323ζ22−3ζ223ζ22−3ζ22000000000000000000−4+4i34−4i3001−i32−3+3i323−3i32−1+i323ζ14−3ζ143ζ14−3ζ14000000000000000000
χ888-800-13-31−3i3i−3i3i000000000000000000−4−4i34+4i3001+i32−3−3i323+3i32−1−i32−3ζ223ζ22−3ζ223ζ22000000000000000000−4+4i34−4i3001−i32−3+3i323−3i32−1+i32−3ζ143ζ14−3ζ143ζ14000000000000000000
χ898-800-1-3313i−3i−3i3i000000000000000000−4−4i34+4i3001+i323+3i32−3−3i32−1−i323ζ22−3ζ22−3ζ223ζ22000000000000000000−4+4i34−4i3001−i323−3i32−3+3i32−1+i323ζ14−3ζ14−3ζ143ζ14000000000000000000
χ908-800-1-331−3i3i3i−3i000000000000000000−4−4i34+4i3001+i323+3i32−3−3i32−1−i32−3ζ223ζ223ζ22−3ζ22000000000000000000−4+4i34−4i3001−i323−3i32−3+3i32−1+i32−3ζ143ζ143ζ14−3ζ14000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.