Finite Group Databasebeta

← Group #13164432

Character table — Group #13164432

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11222223333444666666666666666666121212121212121212121212181818181818242424242424363636363636363636363636363636363636363636484848484848484848
order12344463366121212222466666612121212121212126666666661212128824242424999181818244466888121212121212242424242424363636363636363636
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ31111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ41111111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ51111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ61111111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ71111-1-1111111-1-11-1-111-1-11-1-11-1-11-1-1111-1-11-1-11-1-111111111111111111-1-1111-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-1
χ81111-1-1111111-1-11-1-111-1-11-1-11-1-11-1-1111-1-11-1-11-1-1111-1-1-1-1-1-1111111-1-111-1-1-111-111-111-111-1111-1-11-1-11-1-1
χ91111-1-11−1−i32−1+i32−1−i32−1+i321-1-11-1-11−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211-1-1−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i321-1-1−1−i321+i321+i32−1+i321−i321−i32
χ101111-1-11−1−i32−1+i32−1−i32−1+i321-1-11-1-11−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-1111+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32
χ111111-1-11−1+i32−1−i32−1+i32−1−i321-1-11-1-11−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211-1-1−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i321-1-1−1+i321−i321−i32−1−i321+i321+i32
χ121111-1-11−1+i32−1−i32−1+i32−1−i321-1-11-1-11−1+i321−i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-1111−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i321−i32−1+i32−1+i321+i32−1−i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32
χ13111-11-111111-11-1-11-11-11-1-11-1-11-1-11-111-11-1-11-1-11-11111111111111111-11-111-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1
χ14111-11-111111-11-1-11-11-11-1-11-1-11-1-11-111-11-1-11-1-11-1111-1-1-1-1-1-1111111-11-11-1-11-111-111-111-111-11-11-1-11-1-11-1
χ15111-11-11−1−i32−1+i32−1−i32−1+i32-11-1-11-111+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321-11-1−1−i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i32-11-11+i32−1−i321+i321−i32−1+i321−i32
χ16111-11-11−1−i32−1+i32−1−i32−1+i32-11-1-11-111+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i32−1−i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-11-111+i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i32
χ17111-11-11−1+i32−1−i32−1+i32−1−i32-11-1-11-111−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321-11-1−1+i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i32-11-11−i32−1+i321−i321+i32−1−i321+i32
χ18111-11-11−1+i32−1−i32−1+i32−1−i32-11-1-11-111−i32−1+i321−i321+i32−1−i321+i321−i32−1+i321−i321+i32−1−i321+i32−1+i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-11-111−i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32−1+i321−i32−1+i32−1−i321+i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i32
χ19111-1-1111111-1-11-1-111-1-11-1-11-1-11-1-1111-1-11-1-11-1-111111111111111111-1-1111-1-11-1-11-1-11-1-11-1-11-1-11-1-11-1-11
χ20111-1-1111111-1-11-1-111-1-11-1-11-1-11-1-1111-1-11-1-11-1-11111-1-1-1-1-1-1111111-111-1-1-111-111-111-111-111-1-1-11-1-11-1-11
χ21111-1-111−1−i32−1+i32−1−i32−1+i32-1-11-1-1111+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321-1-11−1−i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32
χ22111-1-111−1−i32−1+i32−1−i32−1+i32-1-11-1-1111+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32−1−i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i32-111-11+i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32-1-111+i321+i32−1−i321−i321−i32−1+i32
χ23111-1-111−1+i32−1−i32−1+i32−1−i32-1-11-1-1111−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321-1-11−1+i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32
χ24111-1-111−1+i32−1−i32−1+i32−1−i32-1-11-1-1111−i321−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32−1+i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i32-111-11−i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32-1-111−i321−i32−1+i321+i321+i32−1−i32
χ2522222222222222222222222222222222222222222222000000-1-1-1-1-1-1000000000000000000000-1-1-1-1-1-1-1-1-1
χ262222222−1−i3−1+i3−1−i3−1+i32222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i3000000-11+i321−i32-11+i321−i32000000000000000000000-1-1-11+i321+i321+i321−i321−i321−i32
χ272222222−1+i3−1−i3−1+i3−1−i32222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i3000000-11−i321+i32-11−i321+i32000000000000000000000-1-1-11−i321−i321−i321+i321+i321+i32
χ282222-2-2222222-2-22-2-222-2-22-2-22-2-22-2-2222-2-22-2-22-2-2222000000-1-1-1-1-1-1000000000000000000000-111-111-111
χ292222-2-22−1−i3−1+i3−1−i3−1+i32-2-22-2-22−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i3−1−i3−1+i32-2-2−1−i31+i31+i3−1+i31−i31−i32−1−i3−1+i3000000-11+i321−i32-11+i321−i32000000000000000000000-1111+i32−1−i32−1−i321−i32−1+i32−1+i32
χ302222-2-22−1+i3−1−i3−1+i3−1−i32-2-22-2-22−1+i31−i31−i3−1−i31+i31+i3−1+i31−i31−i3−1−i31+i31+i3−1+i3−1−i32-2-2−1+i31−i31−i3−1−i31+i31+i32−1+i3−1−i3000000-11−i321+i32-11−i321+i32000000000000000000000-1111−i32−1+i32−1+i321+i32−1−i32−1−i32
χ31222-22-222222-22-2-22-22-22-2-22-2-22-2-22-222-22-2-22-2-22-2222000000-1-1-1-1-1-10000000000000000000001-111-111-11
χ32222-22-22−1−i3−1+i3−1−i3−1+i3-22-2-22-221+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i3−1−i3−1+i3-22-21+i3−1−i31+i31−i3−1+i31−i32−1−i3−1+i3000000-11+i321−i32-11+i321−i320000000000000000000001-11−1−i321+i32−1−i32−1+i321−i32−1+i32
χ33222-22-22−1+i3−1−i3−1+i3−1−i3-22-2-22-221−i3−1+i31−i31+i3−1−i31+i31−i3−1+i31−i31+i3−1−i31+i3−1+i3−1−i3-22-21−i3−1+i31−i31+i3−1−i31+i32−1+i3−1−i3000000-11−i321+i32-11−i321+i320000000000000000000001-11−1+i321−i32−1+i32−1−i321+i32−1−i32
χ34222-2-2222222-2-22-2-222-2-22-2-22-2-22-2-2222-2-22-2-22-2-22222000000-1-1-1-1-1-100000000000000000000011-111-111-1
χ35222-2-222−1−i3−1+i3−1−i3−1+i3-2-22-2-2221+i31+i3−1−i31−i31−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3−1−i3−1+i3-2-221+i31+i3−1−i31−i31−i3−1+i32−1−i3−1+i3000000-11+i321−i32-11+i321−i3200000000000000000000011-1−1−i32−1−i321+i32−1+i32−1+i321−i32
χ36222-2-222−1+i3−1−i3−1+i3−1−i3-2-22-2-2221−i31−i3−1+i31+i31+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3−1+i3−1−i3-2-221−i31−i3−1+i31+i31+i3−1−i32−1+i3−1−i3000000-11−i321+i32-11−i321+i3200000000000000000000011-1−1+i32−1+i321−i32−1−i32−1−i321+i32
χ3733333333333333-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000-1-1-1-1-1-1111-1-1-1-1-1-1111111000000000
χ3833333333333333-1-1-1-1-1-1-1-1-1-1333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111111-1-1-1111111-1-1-1-1-1-1000000000
χ393333333−3−3i32−3+3i32−3−3i32−3+3i32333-1-1-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000-1-1-1-11+i321−i321111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000
χ403333333−3−3i32−3+3i32−3−3i32−3+3i32333-1-1-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-1-11+i321+i321−i321−i320000001111−1−i32−1+i32-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321−i321−i321−i32000000000
χ413333333−3+3i32−3−3i32−3+3i32−3−3i32333-1-1-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000-1-1-1-11−i321+i321111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000
χ423333333−3+3i32−3−3i32−3+3i32−3−3i32333-1-1-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-1-11−i321−i321+i321+i320000001111−1+i32−1−i32-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321+i321+i321+i32000000000
χ433333-3-3333333-3-3-111-1-111-1113-3-33-3-3-1-1-111-111-111-1-1-1111111000000-1-111-1-11-1-1-111-1111-1-11-1-1000000000
χ443333-3-3333333-3-3-111-1-111-1113-3-33-3-3-1-1-111-111-111-1-1-1-1-1-1-1-1-100000011-1-111-1111-1-11-1-1-111-111000000000
χ453333-3-33−3−3i32−3+3i32−3−3i32−3+3i323-3-3-111-11+i32−1−i32−1−i321−i32−1+i32−1+i32−3−3i323+3i323+3i32−3+3i323−3i323−3i321+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000-1-1111+i321−i321-1-11+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i321+i321+i32−1+i321−i321−i32000000000
χ463333-3-33−3−3i32−3+3i32−3−3i32−3+3i323-3-3-111-11+i32−1−i32−1−i321−i32−1+i32−1+i32−3−3i323+3i323+3i32−3+3i323−3i323−3i321+i321−i32-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-11+i321−i32-1-11+i321+i321−i321−i3200000011-1-1−1−i32−1+i32-111−1−i321+i321+i32−1+i321−i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32000000000
χ473333-3-33−3+3i32−3−3i32−3+3i32−3−3i323-3-3-111-11−i32−1+i32−1+i321+i32−1−i32−1−i32−3+3i323−3i323−3i32−3−3i323+3i323+3i321−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000-1-1111−i321+i321-1-11−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i321−i321−i32−1−i321+i321+i32000000000
χ483333-3-33−3+3i32−3−3i32−3+3i32−3−3i323-3-3-111-11−i32−1+i32−1+i321+i32−1−i32−1−i32−3+3i323−3i323−3i32−3−3i323+3i323+3i321−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-11−i321+i32-1-11−i321−i321+i321+i3200000011-1-1−1+i32−1−i32-111−1+i321−i321−i32−1−i321+i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32000000000
χ49333-33-333333-33-31-11-11-111-11-33-3-33-3-1-11-111-111-11-1-1-1111111000000-11-11-1-1-11-11-111-11-11-1-11-1000000000
χ50333-33-333333-33-31-11-11-111-11-33-3-33-3-1-11-111-111-11-1-1-1-1-1-1-1-1-10000001-11-1111-11-11-1-11-11-111-11000000000
χ51333-33-33−3−3i32−3+3i32−3−3i32−3+3i32-33-31-11-1−1−i321+i32−1−i32−1+i321−i32−1+i323+3i32−3−3i323+3i323−3i32−3+3i323−3i321+i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000-11-111+i321−i32-11-1−1−i321+i32−1−i32−1+i321−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32000000000
χ52333-33-33−3−3i32−3+3i32−3−3i32−3+3i32-33-31-11-1−1−i321+i32−1−i32−1+i321−i32−1+i323+3i32−3−3i323+3i323−3i32−3+3i323−3i321+i321−i321-11−1−i321+i32−1−i32−1+i321−i32−1+i32-11+i321−i32-1-11+i321+i321−i321−i320000001-11-1−1−i32−1+i321-111+i32−1−i321+i321−i32−1+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32000000000
χ53333-33-33−3+3i32−3−3i32−3+3i32−3−3i32-33-31-11-1−1+i321−i32−1+i32−1−i321+i32−1−i323−3i32−3+3i323−3i323+3i32−3−3i323+3i321−i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000-11-111−i321+i32-11-1−1+i321−i32−1+i32−1−i321+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32000000000
χ54333-33-33−3+3i32−3−3i32−3+3i32−3−3i32-33-31-11-1−1+i321−i32−1+i32−1−i321+i32−1−i323−3i32−3+3i323−3i323+3i32−3−3i323+3i321−i321+i321-11−1+i321−i32−1+i32−1−i321+i32−1−i32-11−i321+i32-1-11−i321−i321+i321+i320000001-11-1−1+i32−1−i321-111−i32−1+i321−i321+i32−1−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32000000000
χ55333-3-3333333-3-3311-1-111-111-1-3-33-3-33-1-111-111-111-1-1-1-1111111000000-111-1-1-1-1-1111-111-1-1-11-1-11000000000
χ56333-3-3333333-3-3311-1-111-111-1-3-33-3-33-1-111-111-111-1-1-1-1-1-1-1-1-1-10000001-1-111111-1-1-11-1-1111-111-1000000000
χ57333-3-333−3−3i32−3+3i32−3−3i32−3+3i32-3-3311-1-1−1−i32−1−i321+i32−1+i32−1+i321−i323+3i323+3i32−3−3i323−3i323−3i32−3+3i321+i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32000000-111-11+i321−i32-1-11−1−i32−1−i321+i32−1+i32−1+i321−i321+i321+i32−1−i321−i321−i32−1+i32000000000
χ58333-3-333−3−3i32−3+3i32−3−3i32−3+3i32-3-3311-1-1−1−i32−1−i321+i32−1+i32−1+i321−i323+3i323+3i32−3−3i323−3i323−3i32−3+3i321+i321−i3211-1−1−i32−1−i321+i32−1+i32−1+i321−i32-11+i321−i32-1-11+i321+i321−i321−i320000001-1-11−1−i32−1+i3211-11+i321+i32−1−i321−i321−i32−1+i32−1−i32−1−i321+i32−1+i32−1+i321−i32000000000
χ59333-3-333−3+3i32−3−3i32−3+3i32−3−3i32-3-3311-1-1−1+i32−1+i321−i32−1−i32−1−i321+i323−3i323−3i32−3+3i323+3i323+3i32−3−3i321−i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32000000-111-11−i321+i32-1-11−1+i32−1+i321−i32−1−i32−1−i321+i321−i321−i32−1+i321+i321+i32−1−i32000000000
χ60333-3-333−3+3i32−3−3i32−3+3i32−3−3i32-3-3311-1-1−1+i32−1+i321−i32−1−i32−1−i321+i323−3i323−3i32−3+3i323+3i323+3i32−3−3i321−i321+i3211-1−1+i32−1+i321−i32−1−i32−1−i321+i32-11−i321+i32-1-11−i321−i321+i321+i320000001-1-11−1+i32−1−i3211-11−i321−i32−1+i321+i321+i32−1−i32−1+i32−1+i321−i32−1−i32−1−i321+i32000000000
χ614-44000-444-4-4000000000000000000000000000000000−2i22i2−2i22i2−2i22i2-2-2-2222000000000000000000000000000000
χ624-44000-444-4-40000000000000000000000000000000002i2−2i22i2−2i22i2−2i2-2-2-2222000000000000000000000000000000
χ634-44000-4−2−2i3−2+2i32+2i32−2i3000000000000000000000000000000000−2i22i22ζ7+2ζ13−2ζ7−2ζ132ζ5+2ζ23−2ζ5−2ζ23-21+i31−i32−1−i3−1+i3000000000000000000000000000000
χ644-44000-4−2−2i3−2+2i32+2i32−2i30000000000000000000000000000000002i2−2i2−2ζ7−2ζ132ζ7+2ζ13−2ζ5−2ζ232ζ5+2ζ23-21+i31−i32−1−i3−1+i3000000000000000000000000000000
χ654-44000-4−2+2i3−2−2i32−2i32+2i3000000000000000000000000000000000−2i22i22ζ5+2ζ23−2ζ5−2ζ232ζ7+2ζ13−2ζ7−2ζ13-21−i31+i32−1+i3−1−i3000000000000000000000000000000
χ664-44000-4−2+2i3−2−2i32−2i32+2i30000000000000000000000000000000002i2−2i2−2ζ5−2ζ232ζ5+2ζ23−2ζ7−2ζ132ζ7+2ζ13-21−i31+i32−1+i3−1−i3000000000000000000000000000000
χ6766-3666-30000-3-3-3666600000000000000-3-3-3000000-300000000000000000000000000000000000000000000
χ6866-3666-30000-3-3-3-2-2-2-244444400000044111-2-2-2-2-2-21-2-2000000000000000000000000000000000000000000
χ6966-3666-30000-3-3-3-2-2-2-2−2−2i3−2−2i3−2−2i3−2+2i3−2+2i3−2+2i3000000−2−2i3−2+2i31111+i31+i31+i31−i31−i31−i311+i31−i3000000000000000000000000000000000000000000
χ7066-3666-30000-3-3-3-2-2-2-2−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i3000000−2+2i3−2−2i31111−i31−i31−i31+i31+i31+i311−i31+i3000000000000000000000000000000000000000000
χ7166-36-6-6-30000-3336-6-6600000000000000-333000000-300000000000000000000000000000000000000000000
χ7266-36-6-6-30000-333-222-24-4-44-4-4000000441-1-1-222-2221-2-2000000000000000000000000000000000000000000
χ7366-36-6-6-30000-333-222-2−2−2i32+2i32+2i3−2+2i32−2i32−2i3000000−2−2i3−2+2i31-1-11+i3−1−i3−1−i31−i3−1+i3−1+i311+i31−i3000000000000000000000000000000000000000000
χ7466-36-6-6-30000-333-222-2−2+2i32−2i32−2i3−2−2i32+2i32+2i3000000−2+2i3−2−2i31-1-11−i3−1+i3−1+i31+i3−1−i3−1−i311−i31+i3000000000000000000000000000000000000000000
χ7566-3-66-6-300003-332-22-2-44-4-44-400000044-11-12-222-221-2-2000000000000000000000000000000000000000000
χ7666-3-66-6-300003-332-22-22+2i3−2−2i32+2i32−2i3−2+2i32−2i3000000−2−2i3−2+2i3-11-1−1−i31+i3−1−i3−1+i31−i3−1+i311+i31−i3000000000000000000000000000000000000000000
χ7766-3-66-6-300003-332-22-22−2i3−2+2i32−2i32+2i3−2−2i32+2i3000000−2+2i3−2−2i3-11-1−1+i31−i3−1+i3−1−i31+i3−1−i311−i31+i3000000000000000000000000000000000000000000
χ7866-3-66-6-300003-33-66-66000000000000003-33000000-300000000000000000000000000000000000000000000
χ7966-3-6-66-3000033-322-2-2-4-44-4-4400000044-1-1122-222-21-2-2000000000000000000000000000000000000000000
χ8066-3-6-66-3000033-322-2-22+2i32+2i3−2−2i32−2i32−2i3−2+2i3000000−2−2i3−2+2i3-1-11−1−i3−1−i31+i3−1+i3−1+i31−i311+i31−i3000000000000000000000000000000000000000000
χ8166-3-6-66-3000033-322-2-22−2i32−2i3−2+2i32+2i32+2i3−2−2i3000000−2+2i3−2−2i3-1-11−1+i3−1+i31−i3−1−i3−1−i31+i311−i31+i3000000000000000000000000000000000000000000
χ8266-3-6-66-3000033-3-6-6660000000000000033-3000000-300000000000000000000000000000000000000000000
χ838-88000-888-8-8000000000000000000000000000000000000000222-2-2-2000000000000000000000000000000
χ848-88000-8−4−4i3−4+4i34+4i34−4i30000000000000000000000000000000000000002−1−i3−1+i3-21+i31−i3000000000000000000000000000000
χ858-88000-8−4+4i3−4−4i34−4i34+4i30000000000000000000000000000000000000002−1+i3−1−i3-21−i31+i3000000000000000000000000000000
χ8624-24-12000120000000000000000000000000000000000000000000000000000000000000000000000000000000

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