Finite Group Databasebeta

← Group #11796226

Character table — Group #11796226

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size112222222444444444444888888888888888824242424242424241122222224444444444448888888888888888242424242424242411222222244444444444488888888888888882424242424242424
order12222366622224466666644446612121212121212121212244488883666636666666121266666612121212661212121212121212121261212122424242436666366666661212666666121212126612121212121212121212612121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−i11111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−i11111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−i
χ611111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i-1-111−i−iii11111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i-1-111−i−iii11111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i-1-111−i−iii
χ711111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii11111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii11111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1−i−iii
χ811111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii-1-111ii−i−i11111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii-1-111ii−i−i11111111111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii-1-111ii−i−i
χ911-1-111-1-111-11-11-11-111-1-1i−ii−i1-11-1ii−i−iii−i−i1-11-1i−ii−i11-1-111-1-111-11-11-11-111-1-1i−ii−i1-11-1ii−i−iii−i−i1-11-1i−ii−i11-1-111-1-111-11-11-11-111-1-1i−ii−i1-11-1ii−i−iii−i−i1-11-1i−ii−i
χ1011-1-111-1-111-11-11-11-111-1-1i−ii−i1-11-1ii−i−iii−i−i-11-11−ii−ii11-1-111-1-111-11-11-11-111-1-1i−ii−i1-11-1ii−i−iii−i−i-11-11−ii−ii11-1-111-1-111-11-11-11-111-1-1i−ii−i1-11-1ii−i−iii−i−i-11-11−ii−ii
χ1111-1-111-1-111-11-11-11-111-1-1−ii−ii1-11-1−i−iii−i−iii1-11-1−ii−ii11-1-111-1-111-11-11-11-111-1-1−ii−ii1-11-1−i−iii−i−iii1-11-1−ii−ii11-1-111-1-111-11-11-11-111-1-1−ii−ii1-11-1−i−iii−i−iii1-11-1−ii−ii
χ1211-1-111-1-111-11-11-11-111-1-1−ii−ii1-11-1−i−iii−i−iii-11-11i−ii−i11-1-111-1-111-11-11-11-111-1-1−ii−ii1-11-1−i−iii−i−iii-11-11i−ii−i11-1-111-1-111-11-11-11-111-1-1−ii−ii1-11-1−i−iii−i−iii-11-11i−ii−i
χ1311-1-111-1-111-1-11-111-1-1-1111-1-111-1-1111-1-1-1-1111-1-111-1-1111-1-111-1-111-1-11-111-1-1-1111-1-111-1-1111-1-1-1-1111-1-111-1-1111-1-111-1-111-1-11-111-1-1-1111-1-111-1-1111-1-1-1-1111-1-111-1-11
χ1411-1-111-1-111-1-11-111-1-1-1111-1-111-1-1111-1-1-1-111-111-1-111-111-1-111-1-111-1-11-111-1-1-1111-1-111-1-1111-1-1-1-111-111-1-111-111-1-111-1-111-1-11-111-1-1-1111-1-111-1-1111-1-1-1-111-111-1-111-1
χ1511-1-111-1-111-1-11-111-1-1-111-111-11-1-11-1-11111-1-11-1-11-111-111-1-111-1-111-1-11-111-1-1-111-111-11-1-11-1-11111-1-11-1-11-111-111-1-111-1-111-1-11-111-1-1-111-111-11-1-11-1-11111-1-11-1-11-111-1
χ1611-1-111-1-111-1-11-111-1-1-111-111-11-1-11-1-11111-1-1-111-11-1-1111-1-111-1-111-1-11-111-1-1-111-111-11-1-11-1-11111-1-1-111-11-1-1111-1-111-1-111-1-11-111-1-1-111-111-11-1-11-1-11111-1-1-111-11-1-11
χ17222222222-2-222-2-22222220000-2-2-2-20000000000000000222222222-2-222-2-22222220000-2-2-2-20000000000000000222222222-2-222-2-22222220000-2-2-2-20000000000000000
χ18222222222-2-2-2-22222-2-2-2-20000-2-2220000000000000000222222222-2-2-2-22222-2-2-2-20000-2-2220000000000000000222222222-2-2-2-22222-2-2-2-20000-2-2220000000000000000
χ1922222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000022222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ2022222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000022222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-1111111110000000022222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000
χ2122222-1-1-1-122-2-2-2-2-1-111112i2i−2i−2i-1-111−i−i−i−iiiii0000000022222-1-1-1-122-2-2-2-2-1-111112i2i−2i−2i-1-111−i−i−i−iiiii0000000022222-1-1-1-122-2-2-2-2-1-111112i2i−2i−2i-1-111−i−i−i−iiiii00000000
χ2222222-1-1-1-122-2-2-2-2-1-11111−2i−2i2i2i-1-111iiii−i−i−i−i0000000022222-1-1-1-122-2-2-2-2-1-11111−2i−2i2i2i-1-111iiii−i−i−i−i0000000022222-1-1-1-122-2-2-2-2-1-11111−2i−2i2i2i-1-111iiii−i−i−i−i00000000
χ2322222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i30000000022222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i30000000022222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i300000000
χ2422222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i30000000022222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i30000000022222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i300000000
χ2522222-1-1-1-1-2-2-2-222-1-11111000011-1-13−33−3−33−330000000022222-1-1-1-1-2-2-2-222-1-11111000011-1-13−33−3−33−330000000022222-1-1-1-1-2-2-2-222-1-11111000011-1-13−33−3−33−3300000000
χ2622222-1-1-1-1-2-2-2-222-1-11111000011-1-1−33−333−33−30000000022222-1-1-1-1-2-2-2-222-1-11111000011-1-1−33−333−33−30000000022222-1-1-1-1-2-2-2-222-1-11111000011-1-1−33−333−33−300000000
χ2722-2-222-2-22-222-2-222-222-2-20000-22-22000000000000000022-2-222-2-22-222-2-222-222-2-20000-22-22000000000000000022-2-222-2-22-222-2-222-222-2-20000-22-220000000000000000
χ2822-2-222-2-22-22-222-22-2-2-2220000-222-2000000000000000022-2-222-2-22-22-222-22-2-2-2220000-222-2000000000000000022-2-222-2-22-22-222-22-2-2-2220000-222-20000000000000000
χ2922-2-22-111-12-22-22-2-11-1-1112i−2i2i−2i-11-11−i−iii−i−iii0000000022-2-22-111-12-22-22-2-11-1-1112i−2i2i−2i-11-11−i−iii−i−iii0000000022-2-22-111-12-22-22-2-11-1-1112i−2i2i−2i-11-11−i−iii−i−iii00000000
χ3022-2-22-111-12-22-22-2-11-1-111−2i2i−2i2i-11-11ii−i−iii−i−i0000000022-2-22-111-12-22-22-2-11-1-111−2i2i−2i2i-11-11ii−i−iii−i−i0000000022-2-22-111-12-22-22-2-11-1-111−2i2i−2i2i-11-11ii−i−iii−i−i00000000
χ3122-2-22-111-12-2-22-22-1111-1-12-2-22-111-1-1-11111-1-10000000022-2-22-111-12-2-22-22-1111-1-12-2-22-111-1-1-11111-1-10000000022-2-22-111-12-2-22-22-1111-1-12-2-22-111-1-1-11111-1-100000000
χ3222-2-22-111-12-2-22-22-1111-1-1-222-2-111-111-1-1-1-1110000000022-2-22-111-12-2-22-22-1111-1-1-222-2-111-111-1-1-1-1110000000022-2-22-111-12-2-22-22-1111-1-1-222-2-111-111-1-1-1-11100000000
χ3322-2-22-111-1-222-2-22-11-1-11100001-11-13−3−333−3−330000000022-2-22-111-1-222-2-22-11-1-11100001-11-13−3−333−3−330000000022-2-22-111-1-222-2-22-11-1-11100001-11-13−3−333−3−3300000000
χ3422-2-22-111-1-222-2-22-11-1-11100001-11-1−333−3−333−30000000022-2-22-111-1-222-2-22-11-1-11100001-11-1−333−3−333−30000000022-2-22-111-1-222-2-22-11-1-11100001-11-1−333−3−333−300000000
χ3522-2-22-111-1-22-222-2-1111-1-100001-1-11−i3i3i3−i3i3−i3−i3i30000000022-2-22-111-1-22-222-2-1111-1-100001-1-11−i3i3i3−i3i3−i3−i3i30000000022-2-22-111-1-22-222-2-1111-1-100001-1-11−i3i3i3−i3i3−i3−i3i300000000
χ3622-2-22-111-1-22-222-2-1111-1-100001-1-11i3−i3−i3i3−i3i3i3−i30000000022-2-22-111-1-22-222-2-1111-1-100001-1-11i3−i3−i3i3−i3i3i3−i30000000022-2-22-111-1-22-222-2-1111-1-100001-1-11i3−i3−i3i3−i3i3i3−i300000000
χ37444-4-44444000000-4-40000000000000000000000000000444-4-44444000000-4-40000000000000000000000000000444-4-44444000000-4-40000000000000000000000000000
χ38444-4-4-2-2-2-200000022−2i32i3−2i32i3000000000000000000000000444-4-4-2-2-2-200000022−2i32i3−2i32i3000000000000000000000000444-4-4-2-2-2-200000022−2i32i3−2i32i3000000000000000000000000
χ39444-4-4-2-2-2-2000000222i3−2i32i3−2i3000000000000000000000000444-4-4-2-2-2-2000000222i3−2i32i3−2i3000000000000000000000000444-4-4-2-2-2-2000000222i3−2i32i3−2i3000000000000000000000000
χ4044-44-44-4-44000000-44000000000000000000000000000044-44-44-4-44000000-44000000000000000000000000000044-44-44-4-44000000-440000000000000000000000000000
χ4144-44-4-222-20000002-2−2i32i32i3−2i300000000000000000000000044-44-4-222-20000002-2−2i32i32i3−2i300000000000000000000000044-44-4-222-20000002-2−2i32i32i3−2i3000000000000000000000000
χ4244-44-4-222-20000002-22i3−2i3−2i32i300000000000000000000000044-44-4-222-20000002-22i3−2i3−2i32i300000000000000000000000044-44-4-222-20000002-22i3−2i3−2i32i3000000000000000000000000
χ438-8000800-80000000000000000000000000000000000008-8000800-80000000000000000000000000000000000008-8000800-8000000000000000000000000000000000000
χ448-8000-4−4i34i340000000000000000000000000000000000008-8000-4−4i34i340000000000000000000000000000000000008-8000-4−4i34i34000000000000000000000000000000000000
χ458-8000-44i3−4i340000000000000000000000000000000000008-8000-44i3−4i340000000000000000000000000000000000008-8000-44i3−4i34000000000000000000000000000000000000
χ46111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ471111111111111111111111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−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
χ48111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ49111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ5011111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1ii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1−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−i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11
χ5111111111111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i-1-111−i−iii−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+i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1−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−i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11
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χ5811-1-111-1-111-1-11-111-1-1-1111-1-111-1-1111-1-1-1-1111-1-111-1-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
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χ6111-1-111-1-111-1-11-111-1-1-111-111-11-1-11-1-11111-1-1-111-11-1-11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
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χ10011-1-111-1-111-11-11-11-111-1-1i−ii−i1-11-1ii−i−iii−i−i-11-11−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
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χ10211-1-111-1-111-11-11-11-111-1-1−ii−ii1-11-1−i−iii−i−iii-11-11i−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ10311-1-111-1-111-1-11-111-1-1-1111-1-111-1-1111-1-1-1-1111-1-111-1-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ10411-1-111-1-111-1-11-111-1-1-1111-1-111-1-1111-1-1-1-111-111-1-111-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32
χ10511-1-111-1-111-1-11-111-1-1-111-111-11-1-11-1-11111-1-11-1-11-111-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ10611-1-111-1-111-1-11-111-1-1-111-111-11-1-11-1-11111-1-1-111-11-1-11−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ107222222222-2-222-2-22222220000-2-2-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i30000000000000000
χ108222222222-2-2-2-22222-2-2-2-20000-2-2220000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i31+i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i31−i3−1+i3−1+i30000000000000000
χ10922222-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000
χ11022222-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ11122222-1-1-1-122-2-2-2-2-1-111112i2i−2i−2i-1-111−i−i−i−iiiii00000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i322ζ112ζ11−2ζ11−2ζ111+i321+i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ1100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i322ζ72ζ7−2ζ7−2ζ71−i321−i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ700000000
χ11222222-1-1-1-122-2-2-2-2-1-11111−2i−2i2i2i-1-111iiii−i−i−i−i00000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−2ζ11−2ζ112ζ112ζ111+i321+i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ1100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−2ζ7−2ζ72ζ72ζ71−i321−i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ700000000
χ11322222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111−i3i3−i3i3−i3i3−i3i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i323−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i323+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i3200000000
χ11422222-1-1-1-1-2-222-2-2-1-1-1-1-1-100001111i3−i3i3−i3i3−i3i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i323−i32−3+i323−i32−3+i323−i32−3+i323−i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−3−i323+i32−3−i323+i32−3−i323+i32−3−i323+i3200000000
χ11522222-1-1-1-1-2-2-2-222-1-11111000011-1-13−33−3−33−3300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i321+i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i321−i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ11622222-1-1-1-1-2-2-2-222-1-11111000011-1-1−33−333−33−300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i321+i321+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i321−i321−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ11722-2-222-2-22-222-2-222-222-2-20000-22-220000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i30000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i30000000000000000
χ11822-2-222-2-22-22-222-22-2-2-2220000-222-20000000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i30000000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i30000000000000000
χ11922-2-22-111-12-22-22-2-11-1-1112i−2i2i−2i-11-11−i−iii−i−iii00000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i32−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i321+i321+i32−1−i32−1−i322ζ11−2ζ112ζ11−2ζ111+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ1100000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i32−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i321−i321−i32−1+i32−1+i322ζ7−2ζ72ζ7−2ζ71−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ700000000
χ12022-2-22-111-12-22-22-2-11-1-111−2i2i−2i2i-11-11ii−i−iii−i−i00000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i32−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i321+i321+i32−1−i32−1−i32−2ζ112ζ11−2ζ112ζ111+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ1100000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i32−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i321−i321−i32−1+i32−1+i32−2ζ72ζ7−2ζ72ζ71−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ700000000
χ12122-2-22-111-12-2-22-22-1111-1-12-2-22-111-1-1-11111-1-100000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i32−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i32−1−i32−1−i321+i321+i32−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i32−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i32−1+i32−1+i321−i321−i32−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i3200000000
χ12222-2-22-111-12-2-22-22-1111-1-1-222-2-111-111-1-1-1-11100000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i32−1−i31+i31+i3−1−i31+i3−1−i31+i32−1−i32−1−i32−1−i321+i321+i321+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i3200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i32−1+i31−i31−i3−1+i31−i3−1+i31−i32−1+i32−1+i32−1+i321−i321−i321−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i3200000000
χ12322-2-22-111-1-222-2-22-11-1-11100001-11-13−3−333−3−3300000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i321+i321+i32−1−i32−1−i320000−1−i321+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i321−i321−i32−1+i32−1+i320000−1+i321−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ12422-2-22-111-1-222-2-22-11-1-11100001-11-1−333−3−333−300000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i321+i321+i32−1−i32−1−i320000−1−i321+i32−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i321−i321−i32−1+i32−1+i320000−1+i321−i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ12522-2-22-111-1-22-222-2-1111-1-100001-1-11−i3i3i3−i3i3−i3−i3i300000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i3−1−i31+i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i321+i320000−1−i321+i321+i32−1−i32−3+i323−i323−i32−3+i323−i32−3+i32−3+i323−i3200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i3−1+i31−i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i321−i320000−1+i321−i321−i32−1+i323+i32−3−i32−3−i323+i32−3−i323+i323+i32−3−i3200000000
χ12622-2-22-111-1-22-222-2-1111-1-100001-1-11i3−i3−i3i3−i3i3i3−i300000000−1−i3−1−i31+i31+i3−1−i31+i32−1−i32−1−i321+i321+i3−1−i31+i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i321+i321+i320000−1−i321+i321+i32−1−i323−i32−3+i32−3+i323−i32−3+i323−i323−i32−3+i3200000000−1+i3−1+i31−i31−i3−1+i31−i32−1+i32−1+i321−i321−i3−1+i31−i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i321−i321−i320000−1+i321−i321−i32−1+i32−3−i323+i323+i32−3−i323+i32−3−i32−3−i323+i3200000000
χ127444-4-44444000000-4-40000000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i30000002+2i32+2i30000000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i30000002−2i32−2i30000000000000000000000000000
χ128444-4-4-2-2-2-200000022−2i32i3−2i32i3000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i3000000−1−i3−1−i3−3+i33−i3−3+i33−i3000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i3000000−1+i3−1+i33+i3−3−i33+i3−3−i3000000000000000000000000
χ129444-4-4-2-2-2-2000000222i3−2i32i3−2i3000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i31+i31+i31+i3000000−1−i3−1−i33−i3−3+i33−i3−3+i3000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i31−i31−i31−i3000000−1+i3−1+i3−3−i33+i3−3−i33+i3000000000000000000000000
χ13044-44-44-4-44000000-440000000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i30000002+2i3−2−2i30000000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i30000002−2i3−2+2i30000000000000000000000000000
χ13144-44-4-222-20000002-2−2i32i32i3−2i3000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i3−1−i31+i3000000−1−i31+i3−3+i33−i33−i3−3+i3000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i3−1+i31−i3000000−1+i31−i33+i3−3−i3−3−i33+i3000000000000000000000000
χ13244-44-4-222-20000002-22i3−2i3−2i32i3000000000000000000000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i3−1−i31+i3000000−1−i31+i33−i3−3+i3−3+i33−i3000000000000000000000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i3−1+i31−i3000000−1+i31−i3−3−i33+i33+i3−3−i3000000000000000000000000
χ1338-8000800-8000000000000000000000000000000000000−4−4i34+4i3000−4−4i3004+4i3000000000000000000000000000000000000−4+4i34−4i3000−4+4i3004−4i3000000000000000000000000000000000000
χ1348-8000-4−4i34i34000000000000000000000000000000000000−4−4i34+4i30002+2i3−6+2i36−2i3−2−2i3000000000000000000000000000000000000−4+4i34−4i30002−2i36+2i3−6−2i3−2+2i3000000000000000000000000000000000000
χ1358-8000-44i3−4i34000000000000000000000000000000000000−4−4i34+4i30002+2i36−2i3−6+2i3−2−2i3000000000000000000000000000000000000−4+4i34−4i30002−2i3−6−2i36+2i3−2+2i3000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.