Finite Group Databasebeta

← Group #11923377

Character table — Group #11923377

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222224444444466666688888888888888888888121212121224242424242424243636111122222222224444444466666688888888888888888888121212121224242424242424243636
order1222344666121212123366666644444433666666121212121212121212121212266121212121212121212122422226446661212121266666666444444666666661212121212121212121212122661212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ411111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−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+i32111111+i321+i321−i321−i321+i321+i321−i321−i32-1-111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1−1−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+i32111111+i321+i321−i321−i321+i321+i321−i321−i32-1-1
χ511111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ611111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+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−i32111111−i321−i321+i321+i321−i321−i321+i321+i32-1-111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1−1+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−i32111111−i321−i321+i321+i321−i321−i321+i321+i32-1-1
χ711111-1-1111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11
χ811111-1-1111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111111-1-1111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1
χ911111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1111111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11
χ1011111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-111111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ1111111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1111111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11
χ1211111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-111111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ132222-122-1-1-1-1-1-1-122222222002200-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-100000000002222-122-1-1-1-1-1-1-122222222002200-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30022001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i322-1-1-1-100000000002222-122-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30022001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i322-1-1-1-10000000000
χ152222-122-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30022001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i322-1-1-1-100000000002222-122-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30022001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i322-1-1-1-10000000000
χ162222-1-2-2-1-1-1111122222222002200-1-1-1-1-1-1-1-1-2-2-2-211111111-211-1-100000000002222-1-2-2-1-1-1111122222222002200-1-1-1-1-1-1-1-1-2-2-2-211111111-211-1-10000000000
χ172222-1-2-2-1-1-11111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30022001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-211-1-100000000002222-1-2-2-1-1-11111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30022001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-211-1-10000000000
χ182222-1-2-2-1-1-11111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30022001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-211-1-100000000002222-1-2-2-1-1-11111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30022001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-211-1-10000000000
χ1922-2-222i−2i2-2-22i2i−2i−2i-1-111-1-1112-2002i−2i-1-11-11-111i−ii−iii−i−iii−i−i000001-11-1i−ii−i0022-2-222i−2i2-2-22i2i−2i−2i-1-111-1-1112-2002i−2i-1-11-11-111i−ii−iii−i−iii−i−i000001-11-1i−ii−i00
χ2022-2-222i−2i2-2-22i2i−2i−2i-1-111-1-111-2200−2i2i-1-11-11-111i−ii−iii−i−iii−i−i00000-11-11−ii−ii0022-2-222i−2i2-2-22i2i−2i−2i-1-111-1-111-2200−2i2i-1-11-11-111i−ii−iii−i−iii−i−i00000-11-11−ii−ii00
χ2122-2-222i−2i2-2-22i2i−2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i322-2002i−2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ700000−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ70022-2-222i−2i2-2-22i2i−2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i322-2002i−2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ700000−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ700
χ2222-2-222i−2i2-2-22i2i−2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-2200−2i2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7000001+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ70022-2-222i−2i2-2-22i2i−2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-2200−2i2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7000001+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ700
χ2322-2-222i−2i2-2-22i2i−2i−2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i322-2002i−2i1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ1100000−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ110022-2-222i−2i2-2-22i2i−2i−2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i322-2002i−2i1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ1100000−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ1100
χ2422-2-222i−2i2-2-22i2i−2i−2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-2200−2i2i1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000001−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ110022-2-222i−2i2-2-22i2i−2i−2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-2200−2i2i1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000001−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ1100
χ2522-2-22−2i2i2-2-2−2i−2i2i2i-1-111-1-1112-200−2i2i-1-11-11-111−ii−ii−i−iii−i−iii000001-11-1−ii−ii0022-2-22−2i2i2-2-2−2i−2i2i2i-1-111-1-1112-200−2i2i-1-11-11-111−ii−ii−i−iii−i−iii000001-11-1−ii−ii00
χ2622-2-22−2i2i2-2-2−2i−2i2i2i-1-111-1-111-22002i−2i-1-11-11-111−ii−ii−i−iii−i−iii00000-11-11i−ii−i0022-2-22−2i2i2-2-2−2i−2i2i2i-1-111-1-111-22002i−2i-1-11-11-111−ii−ii−i−iii−i−iii00000-11-11i−ii−i00
χ2722-2-22−2i2i2-2-2−2i−2i2i2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i322-200−2i2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ700000−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ70022-2-22−2i2i2-2-2−2i−2i2i2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i322-200−2i2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ700000−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ700
χ2822-2-22−2i2i2-2-2−2i−2i2i2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-22002i−2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000001+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ70022-2-22−2i2i2-2-2−2i−2i2i2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-22002i−2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000001+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ700
χ2922-2-22−2i2i2-2-2−2i−2i2i2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i322-200−2i2i1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ1100000−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ110022-2-22−2i2i2-2-2−2i−2i2i2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i322-200−2i2i1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ1100000−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ1100
χ3022-2-22−2i2i2-2-2−2i−2i2i2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-22002i−2i1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11000001−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ110022-2-22−2i2i2-2-2−2i−2i2i2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32-22002i−2i1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11000001−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ1100
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χ40333333333333330000000033-1-13300000000000000000000-1-1-1-1-100000000-1-1333333333333330000000033-1-13300000000000000000000-1-1-1-1-100000000-1-1
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χ651111111111111111111111-1-111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
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χ7111111-1-1111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-11
χ7211111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11-1-1-1-1-111-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32-1-1-1-1111+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+i32111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ7311111-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1-1-111-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i3211-1-1-1-11+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+i32111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11
χ7411111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11-1-1-1-1-111-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32-1-1-1-1111−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−i32111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ7511111-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1-1-111-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i3211-1-1-1-11−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−i32111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11
χ762222-122-1-1-1-1-1-1-122222222002200-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-10000000000-2-2-2-21-2-21111111-2-2-2-2-2-2-2-200-2-20011111111-2-2-2-211111111-211110000000000
χ772222-122-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30022001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i322-1-1-1-10000000000-2-2-2-21-2-211111111+i31−i31+i31−i31+i31−i31+i31−i300-2-200−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-211110000000000
χ782222-122-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30022001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i322-1-1-1-10000000000-2-2-2-21-2-211111111−i31+i31−i31+i31−i31+i31−i31+i300-2-200−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-211110000000000
χ792222-1-2-2-1-1-1111122222222002200-1-1-1-1-1-1-1-1-2-2-2-211111111-211-1-10000000000-2-2-2-2122111-1-1-1-1-2-2-2-2-2-2-2-200-2-200111111112222-1-1-1-1-1-1-1-12-1-1110000000000
χ802222-1-2-2-1-1-11111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30022001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-211-1-10000000000-2-2-2-2122111-1-1-1-11+i31−i31+i31−i31+i31−i31+i31−i300-2-200−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i322-1-1110000000000
χ812222-1-2-2-1-1-11111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30022001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-211-1-10000000000-2-2-2-2122111-1-1-1-11−i31+i31−i31+i31−i31+i31−i31+i300-2-200−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i322-1-1110000000000
χ8222-2-222i−2i2-2-22i2i−2i−2i-1-111-1-1112-2002i−2i-1-11-11-111i−ii−iii−i−iii−i−i000001-11-1i−ii−i00-2-222-2−2i2i-222−2i−2i2i2i11-1-111-1-1-2200−2i2i11-11-11-1-1−ii−ii−i−iii−i−iii00000-11-11−ii−ii00
χ8322-2-222i−2i2-2-22i2i−2i−2i-1-111-1-111-2200−2i2i-1-11-11-111i−ii−iii−i−iii−i−i00000-11-11−ii−ii00-2-222-2−2i2i-222−2i−2i2i2i11-1-111-1-12-2002i−2i11-11-11-1-1−ii−ii−i−iii−i−iii000001-11-1i−ii−i00
χ8422-2-222i−2i2-2-22i2i−2i−2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i322-2002i−2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ700000−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ700-2-222-2−2i2i-222−2i−2i2i2i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-2200−2i2i−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000001+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ700
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χ8822-2-22−2i2i2-2-2−2i−2i2i2i-1-111-1-1112-200−2i2i-1-11-11-111−ii−ii−i−iii−i−iii000001-11-1−ii−ii00-2-222-22i−2i-2222i2i−2i−2i11-1-111-1-1-22002i−2i11-11-11-1-1i−ii−iii−i−iii−i−i00000-11-11i−ii−i00
χ8922-2-22−2i2i2-2-2−2i−2i2i2i-1-111-1-111-22002i−2i-1-11-11-111−ii−ii−i−iii−i−iii00000-11-11i−ii−i00-2-222-22i−2i-2222i2i−2i−2i11-1-111-1-12-200−2i2i11-11-11-1-1i−ii−iii−i−iii−i−i000001-11-1−ii−ii00
χ9022-2-22−2i2i2-2-2−2i−2i2i2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i322-200−2i2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ700000−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ700-2-222-22i−2i-2222i2i−2i−2i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32-22002i−2i−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7000001+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ700
χ9122-2-22−2i2i2-2-2−2i−2i2i2i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32-22002i−2i1+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000001+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ700-2-222-22i−2i-2222i2i−2i−2i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i322-200−2i2i−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ700000−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ700
χ9222-2-22−2i2i2-2-2−2i−2i2i2i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i322-200−2i2i1−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ1100000−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ1100-2-222-22i−2i-2222i2i−2i−2i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32-22002i−2i−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000001−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ1100
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χ952-22-2200-2-220000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3002-200−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i30000000000000002-20000000000-22-22-20022-200001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i300-22001+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i3000000000000000-220000000000
χ962-22-2200-2-220000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3002-200−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i30000000000000002-20000000000-22-22-20022-200001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i300-22001−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i3000000000000000-220000000000
χ972-22-2-10011-1−i3i3−i3i322-2-2-2-222002-200-1-11111-1-10000−i3i3−i3i3−i3i3−i3i30−i3i3-110000000000-22-22100-1-11i3−i3i3−i3-2-22222-2-200-220011-1-1-1-1110000i3−i3i3−i3i3−i3i3−i30i3−i31-10000000000
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χ10533333-3-3333-3-3-3-30000000033-1-1-3-300000000000000000000111-1-1000000001-1-3-3-3-3-333-3-3-3333300000000-3-3113300000000000000000000-1-1-11100000000-11
χ10633333-3-3333-3-3-3-300000000-3-3-1-13300000000000000000000111-1-100000000-11-3-3-3-3-333-3-3-33333000000003311-3-300000000000000000000-1-1-111000000001-1
χ10744-4-4-24i−4i-222−2i−2i2i2i-2-222-2-22200000011-11-11-1-12i−2i2i−2i−i−iii−i−iii000000000000000-4-4442−4i4i2-2-22i2i−2i−2i22-2-222-2-2000000-1-11-11-111−2i2i−2i2iii−i−iii−i−i000000000000000
χ10844-4-4-24i−4i-222−2i−2i2i2i1+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i322ζ11−2ζ112ζ7−2ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000000000000000-4-4442−4i4i2-2-22i2i−2i−2i−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−2ζ112ζ11−2ζ72ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7000000000000000
χ10944-4-4-24i−4i-222−2i−2i2i2i1−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i322ζ7−2ζ72ζ11−2ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11000000000000000-4-4442−4i4i2-2-22i2i−2i−2i−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−2ζ72ζ7−2ζ112ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000000000000000
χ11044-4-4-2−4i4i-2222i2i−2i−2i-2-222-2-22200000011-11-11-1-1−2i2i−2i2iii−i−iii−i−i000000000000000-4-44424i−4i2-2-2−2i−2i2i2i22-2-222-2-2000000-1-11-11-1112i−2i2i−2i−i−iii−i−iii000000000000000
χ11144-4-4-2−4i4i-2222i2i−2i−2i1+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−2ζ112ζ11−2ζ72ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7000000000000000-4-44424i−4i2-2-2−2i−2i2i2i−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i322ζ11−2ζ112ζ7−2ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000000000000000
χ11244-4-4-2−4i4i-2222i2i−2i−2i1−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−2ζ72ζ7−2ζ112ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000000000000000-4-44424i−4i2-2-2−2i−2i2i2i−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i322ζ7−2ζ72ζ11−2ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11000000000000000
χ1134-4-44400-44-40000-2-2-2-22222000000-2-2-22-2222000000000000000000000000000-444-4-4004-4400002222-2-2-2-2000000222-22-2-2-2000000000000000000000000000
χ1144-4-44400-44-400001+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i30000001+i31−i31+i3−1−i31−i3−1+i3−1−i3−1+i3000000000000000000000000000-444-4-4004-440000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000000000000000000000000
χ1154-4-44400-44-400001−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i30000001−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i3000000000000000000000000000-444-4-4004-440000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000000000000000000000000
χ1164-4-44-2002-2223−23−2323-2-2-2-22222000000111-11-1-1-100003−3−333−3−33000000000000000-444-4200-22-2−232323−232222-2-2-2-2000000-1-1-11-11110000−333−3−333−3000000000000000
χ1174-4-44-2002-2223−23−23231+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i3200002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000-444-4200-22-2−232323−23−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i320000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000
χ1184-4-44-2002-2223−23−23231−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i320000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000000000000-444-4200-22-2−232323−23−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i320000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000000000000
χ1194-4-44-2002-22−232323−23-2-2-2-22222000000111-11-1-1-10000−333−3−333−3000000000000000-444-4200-22-223−23−23232222-2-2-2-2000000-1-1-11-111100003−3−333−3−33000000000000000
χ1204-4-44-2002-22−232323−231+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i320000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000-444-4200-22-223−23−2323−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000001+i321−i321+i32−1−i321−i32−1+i32−1−i32−1+i3200002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000
χ1214-4-44-2002-22−232323−231−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i320000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000000000000-444-4200-22-223−23−2323−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000001−i321+i321−i32−1+i321+i32−1−i32−1+i32−1−i320000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000000000000
χ1226666-366-3-3-3-3-3-3-30000000000-2-20000000000000000000000-211110000000000-6-6-6-63-6-6333333300000000002200000000000000000000002-1-1-1-10000000000
χ1236666-3-6-6-3-3-333330000000000-2-200000000000000000000002-1-1110000000000-6-6-6-6366333-3-3-3-30000000000220000000000000000000000-211-1-10000000000
χ1246-66-6600-6-6600000000000000-220000000000000000000000000-220000000000-66-66-60066-6000000000000002-200000000000000000000000002-20000000000
χ1256-66-6-30033-3−3i33i3−3i33i30000000000-2200000000000000000000000i3−i31-10000000000-66-66300-3-333i3−3i33i3−3i300000000002-200000000000000000000000−i3i3-110000000000
χ1266-66-6-30033-33i3−3i33i3−3i30000000000-2200000000000000000000000−i3i31-10000000000-66-66300-3-33−3i33i3−3i33i300000000002-200000000000000000000000i3−i3-110000000000

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