Finite Group Databasebeta

← Group #11923384

Character table — Group #11923384

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222224444444466666688888888888888888888121212121224242424242424243636111122222222224444444466666688888888888888888888121212121224242424242424243636
order12223446661212121233666666224444336666661212121212121212121212122661212666612121212442222644666121212126666666622444466666666121212121212121212121212266121266661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
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+i32-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+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+i32-1-1-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+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−i32-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−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−i32-1-1-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−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
χ711111-1-1111-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1111-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11
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+i3211-1-111−1−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+i3211-1-111−1−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−i3211-1-111−1+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−i3211-1-111−1+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
χ132222-122-1-1-1-1-1-1-122222222000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-100000000002222-122-1-1-1-1-1-1-122222222000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000221+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+i30000221+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−i30000221−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−i30000221−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
χ162222-1-2-2-1-1-1111122222222000022-1-1-1-1-1-1-1-1-2-2-2-211111111-211-1-100000000002222-1-2-2-1-1-1111122222222000022-1-1-1-1-1-1-1-1-2-2-2-211111111-211-1-10000000000
χ172222-1-2-2-1-1-11111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000221+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+i30000221+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−i30000221−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−i30000221−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
χ192-22-222i−2i2-2-22i2i−2i−2i-1-1-1-111112-22i−2i00-1-11-11-111i−ii−iii−i−iii−i−i000001-11-1i−ii−i002-22-222i−2i2-2-22i2i−2i−2i-1-1-1-111112-22i−2i00-1-11-11-111i−ii−iii−i−iii−i−i000001-11-1i−ii−i00
χ202-22-222i−2i2-2-22i2i−2i−2i-1-1-1-11111-22−2i2i00-1-11-11-111i−ii−iii−i−iii−i−i00000-11-11−ii−ii002-22-222i−2i2-2-22i2i−2i−2i-1-1-1-11111-22−2i2i00-1-11-11-111i−ii−iii−i−iii−i−i00000-11-11−ii−ii00
χ212-22-222i−2i2-2-22i2i−2i−2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i322-22i−2i001+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−ζ7002-22-222i−2i2-2-22i2i−2i−2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i322-22i−2i001+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
χ222-22-222i−2i2-2-22i2i−2i−2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-22−2i2i001+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−ζ7ζ7002-22-222i−2i2-2-22i2i−2i−2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-22−2i2i001+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
χ232-22-222i−2i2-2-22i2i−2i−2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i322-22i−2i001−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−ζ11002-22-222i−2i2-2-22i2i−2i−2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i322-22i−2i001−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
χ242-22-222i−2i2-2-22i2i−2i−2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-22−2i2i001−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−ζ11ζ11002-22-222i−2i2-2-22i2i−2i−2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-22−2i2i001−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
χ252-22-22−2i2i2-2-2−2i−2i2i2i-1-1-1-111112-2−2i2i00-1-11-11-111−ii−ii−i−iii−i−iii000001-11-1−ii−ii002-22-22−2i2i2-2-2−2i−2i2i2i-1-1-1-111112-2−2i2i00-1-11-11-111−ii−ii−i−iii−i−iii000001-11-1−ii−ii00
χ262-22-22−2i2i2-2-2−2i−2i2i2i-1-1-1-11111-222i−2i00-1-11-11-111−ii−ii−i−iii−i−iii00000-11-11i−ii−i002-22-22−2i2i2-2-2−2i−2i2i2i-1-1-1-11111-222i−2i00-1-11-11-111−ii−ii−i−iii−i−iii00000-11-11i−ii−i00
χ272-22-22−2i2i2-2-2−2i−2i2i2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i322-2−2i2i001+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−ζ7ζ7002-22-22−2i2i2-2-2−2i−2i2i2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i322-2−2i2i001+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
χ282-22-22−2i2i2-2-2−2i−2i2i2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-222i−2i001+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−ζ7002-22-22−2i2i2-2-2−2i−2i2i2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-222i−2i001+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
χ292-22-22−2i2i2-2-2−2i−2i2i2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i322-2−2i2i001−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−ζ11ζ11002-22-22−2i2i2-2-2−2i−2i2i2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i322-2−2i2i001−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
χ302-22-22−2i2i2-2-2−2i−2i2i2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-222i−2i001−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−ζ11002-22-22−2i2i2-2-2−2i−2i2i2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-222i−2i001−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
χ312-2-22200-2-22000022-2-222-2-200002-222-2-2-2-2220000000000000002-200000000002-2-22200-2-22000022-2-222-2-200002-222-2-2-2-2220000000000000002-20000000000
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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+i3211-1-111−1−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−i32-1-111-1-11+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+i32111-1-11+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−i3211-1-111−1+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+i32-1-111-1-11−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−i32111-1-11−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
χ762222-122-1-1-1-1-1-1-122222222000022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-10000000000-2-2-2-21-2-21111111-2-2-2-2-2-2-2-20000-2-211111111-2-2-2-211111111-211110000000000
χ772222-122-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000221+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−i30000-2-2−1−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−i30000221−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+i30000-2-2−1+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
χ792222-1-2-2-1-1-1111122222222000022-1-1-1-1-1-1-1-1-2-2-2-211111111-211-1-10000000000-2-2-2-2122111-1-1-1-1-2-2-2-2-2-2-2-20000-2-2111111112222-1-1-1-1-1-1-1-12-1-1110000000000
χ802222-1-2-2-1-1-11111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000221+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−i30000-2-2−1−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−i30000221−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+i30000-2-2−1+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
χ822-22-222i−2i2-2-22i2i−2i−2i-1-1-1-111112-22i−2i00-1-11-11-111i−ii−iii−i−iii−i−i000001-11-1i−ii−i00-22-22-2−2i2i-222−2i−2i2i2i1111-1-1-1-1-22−2i2i0011-11-11-1-1−ii−ii−i−iii−i−iii00000-11-11−ii−ii00
χ832-22-222i−2i2-2-22i2i−2i−2i-1-1-1-11111-22−2i2i00-1-11-11-111i−ii−iii−i−iii−i−i00000-11-11−ii−ii00-22-22-2−2i2i-222−2i−2i2i2i1111-1-1-1-12-22i−2i0011-11-11-1-1−ii−ii−i−iii−i−iii000001-11-1i−ii−i00
χ842-22-222i−2i2-2-22i2i−2i−2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i322-22i−2i001+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−ζ700-22-22-2−2i2i-222−2i−2i2i2i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-22−2i2i00−1−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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χ882-22-22−2i2i2-2-2−2i−2i2i2i-1-1-1-111112-2−2i2i00-1-11-11-111−ii−ii−i−iii−i−iii000001-11-1−ii−ii00-22-22-22i−2i-2222i2i−2i−2i1111-1-1-1-1-222i−2i0011-11-11-1-1i−ii−iii−i−iii−i−i00000-11-11i−ii−i00
χ892-22-22−2i2i2-2-2−2i−2i2i2i-1-1-1-11111-222i−2i00-1-11-11-111−ii−ii−i−iii−i−iii00000-11-11i−ii−i00-22-22-22i−2i-2222i2i−2i−2i1111-1-1-1-12-2−2i2i0011-11-11-1-1i−ii−iii−i−iii−i−i000001-11-1−ii−ii00
χ902-22-22−2i2i2-2-2−2i−2i2i2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i322-2−2i2i001+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−ζ7ζ700-22-22-22i−2i-2222i2i−2i−2i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32-222i−2i00−1−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
χ912-22-22−2i2i2-2-2−2i−2i2i2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-222i−2i001+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−ζ700-22-22-22i−2i-2222i2i−2i−2i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i322-2−2i2i00−1−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
χ922-22-22−2i2i2-2-2−2i−2i2i2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i322-2−2i2i001−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−ζ11ζ1100-22-22-22i−2i-2222i2i−2i−2i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32-222i−2i00−1+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
χ932-22-22−2i2i2-2-2−2i−2i2i2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32-222i−2i001−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−ζ1100-22-22-22i−2i-2222i2i−2i−2i−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i322-2−2i2i00−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ1100000−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ1100
χ942-2-22200-2-22000022-2-222-2-200002-222-2-2-2-2220000000000000002-20000000000-222-2-20022-20000-2-222-2-2220000-22-2-22222-2-2000000000000000-220000000000
χ952-2-22200-2-220000−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300002-2−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i30000000000000002-20000000000-222-2-20022-200001+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i30000-221+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i3000000000000000-220000000000
χ962-2-22200-2-220000−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300002-2−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i30000000000000002-20000000000-222-2-20022-200001−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i30000-221−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i3000000000000000-220000000000
χ972-2-22-10011-1−i3i3−i3i322-2-222-2-200002-2-1-11111-1-10000−i3i3−i3i3−i3i3−i3i30−i3i3-110000000000-222-2100-1-11i3−i3i3−i3-2-222-2-2220000-2211-1-1-1-1110000i3−i3i3−i3i3−i3i3−i30i3−i31-10000000000
χ982-2-22-10011-1−i3i3−i3i3−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300002-21+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i320000−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i320−i3i3-110000000000-222-2100-1-11i3−i3i3−i31+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i30000-22−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i3200003−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i320i3−i31-10000000000
χ992-2-22-10011-1−i3i3−i3i3−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300002-21−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i3200003+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i320−i3i3-110000000000-222-2100-1-11i3−i3i3−i31−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i30000-22−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i320000−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i320i3−i31-10000000000
χ1002-2-22-10011-1i3−i3i3−i322-2-222-2-200002-2-1-11111-1-10000i3−i3i3−i3i3−i3i3−i30i3−i3-110000000000-222-2100-1-11−i3i3−i3i3-2-222-2-2220000-2211-1-1-1-1110000−i3i3−i3i3−i3i3−i3i30−i3i31-10000000000
χ1012-2-22-10011-1i3−i3i3−i3−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300002-21+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i3200003−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i320i3−i3-110000000000-222-2100-1-11−i3i3−i3i31+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i30000-22−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i320000−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i320−i3i31-10000000000
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χ1043333333333333300000000-3-3-3-3-1-100000000000000000000-1-1-1-1-10000000011-3-3-3-3-3-3-3-3-3-3-3-3-3-300000000333311000000000000000000001111100000000-1-1
χ10533333-3-3333-3-3-3-30000000033-3-3-1-100000000000000000000111-1-1000000001-1-3-3-3-3-333-3-3-3333300000000-3-3331100000000000000000000-1-1-11100000000-11
χ10633333-3-3333-3-3-3-300000000-3-333-1-100000000000000000000111-1-100000000-11-3-3-3-3-333-3-3-333330000000033-3-31100000000000000000000-1-1-111000000001-1
χ10744-4-4400-44-40000-2-22222-2-2000000-2-2-22-2222000000000000000000000000000-4-444-4004-44000022-2-2-2-222000000222-22-2-2-2000000000000000000000000000
χ10844-4-4400-44-400001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i30000001+i31−i31+i3−1−i31−i3−1+i3−1−i3−1+i3000000000000000000000000000-4-444-4004-440000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3000000−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3000000000000000000000000000
χ10944-4-4400-44-400001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i30000001−i31+i31−i3−1+i31+i3−1−i3−1+i3−1−i3000000000000000000000000000-4-444-4004-440000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i3000000−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3000000000000000000000000000
χ11044-4-4-2002-2223−23−2323-2-22222-2-2000000111-11-1-1-100003−3−333−3−33000000000000000-4-444200-22-2−232323−2322-2-2-2-222000000-1-1-11-11110000−333−3−333−3000000000000000
χ11144-4-4-2002-2223−23−23231+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i3200002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000000-4-444200-22-2−232323−23−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+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
χ11244-4-4-2002-2223−23−23231−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i320000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000000000000-4-444200-22-2−232323−23−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−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
χ11344-4-4-2002-22−232323−23-2-22222-2-2000000111-11-1-1-10000−333−3−333−3000000000000000-4-444200-22-223−23−232322-2-2-2-222000000-1-1-11-111100003−3−333−3−33000000000000000
χ11444-4-4-2002-22−232323−231+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3000000−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i320000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000000-4-444200-22-223−23−2323−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+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
χ11544-4-4-2002-22−232323−231−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3000000−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i320000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000000000000-4-444200-22-223−23−2323−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−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
χ1164-44-4-24i−4i-222−2i−2i2i2i-2-2-2-2222200000011-11-11-1-12i−2i2i−2i−i−iii−i−iii000000000000000-44-442−4i4i2-2-22i2i−2i−2i2222-2-2-2-2000000-1-11-11-111−2i2i−2i2iii−i−iii−i−i000000000000000
χ1174-44-4-24i−4i-222−2i−2i2i2i1+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i322ζ11−2ζ112ζ7−2ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000000000000000-44-442−4i4i2-2-22i2i−2i−2i−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32−2ζ112ζ11−2ζ72ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7000000000000000
χ1184-44-4-24i−4i-222−2i−2i2i2i1−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i322ζ7−2ζ72ζ11−2ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11000000000000000-44-442−4i4i2-2-22i2i−2i−2i−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32−2ζ72ζ7−2ζ112ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000000000000000
χ1194-44-4-2−4i4i-2222i2i−2i−2i-2-2-2-2222200000011-11-11-1-1−2i2i−2i2iii−i−iii−i−i000000000000000-44-4424i−4i2-2-2−2i−2i2i2i2222-2-2-2-2000000-1-11-11-1112i−2i2i−2i−i−iii−i−iii000000000000000
χ1204-44-4-2−4i4i-2222i2i−2i−2i1+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000−1−i32−1+i321+i32−1−i321−i32−1+i321+i321−i32−2ζ112ζ11−2ζ72ζ7ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7000000000000000-44-4424i−4i2-2-2−2i−2i2i2i−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000001+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i322ζ11−2ζ112ζ7−2ζ7−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000000000000000
χ1214-44-4-2−4i4i-2222i2i−2i−2i1−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000−1+i32−1−i321−i32−1+i321+i32−1−i321−i321+i32−2ζ72ζ7−2ζ112ζ11ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000000000000000-44-4424i−4i2-2-2−2i−2i2i2i−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000001−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i322ζ7−2ζ72ζ11−2ζ11−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11000000000000000
χ1226666-366-3-3-3-3-3-3-3000000000000-2-200000000000000000000-211110000000000-6-6-6-63-6-6333333300000000000022000000000000000000002-1-1-1-10000000000
χ1236666-3-6-6-3-3-33333000000000000-2-2000000000000000000002-1-1110000000000-6-6-6-6366333-3-3-3-30000000000002200000000000000000000-211-1-10000000000
χ1246-6-66600-6-660000000000000000-2200000000000000000000000-220000000000-666-6-60066-600000000000000002-2000000000000000000000002-20000000000
χ1256-6-66-30033-3−3i33i3−3i33i3000000000000-22000000000000000000000i3−i31-10000000000-666-6300-3-333i3−3i33i3−3i30000000000002-2000000000000000000000−i3i3-110000000000
χ1266-6-66-30033-33i3−3i33i3−3i3000000000000-22000000000000000000000−i3i31-10000000000-666-6300-3-33−3i33i3−3i33i30000000000002-2000000000000000000000i3−i3-110000000000

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