Finite Group Databasebeta

← Group #64068

Character table — Group #64068

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112233112233224466224466224466112233112233224466224466224466112233112233224466224466224466
order12364422664444121244441212444412124436361212666612121212121212121212121212121212121212123636121266661212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
χ31-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i
χ41-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii
χ522-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-100
χ62-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-1100
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ81111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111
χ91-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii-11-11−ii1-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii-11-11−ii1-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii-11-11−ii
χ101-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i-11-11i−i1-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i-11-11i−i1-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i-11-11i−i
χ1122-1-10022-1-10022-1-100-2-21100-2-2110022-1-10022-1-10022-1-100-2-21100-2-2110022-1-10022-1-10022-1-100-2-21100-2-21100
χ122-2-11002-2-11002-2-1100-221-100-221-1002-2-11002-2-11002-2-1100-221-100-221-1002-2-11002-2-11002-2-1100-221-100-221-100
χ13111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ141111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ151-11-1i−i1-11-1i−i-11-11−ii1-11-1i−i-11-11−ii1-11-1i−i1-11-1i−i-11-11−ii1-11-1i−i-11-11−ii1-11-1i−i1-11-1i−i-11-11−ii1-11-1i−i-11-11−ii
χ161-11-1−ii1-11-1−ii-11-11i−i1-11-1−ii-11-11i−i1-11-1−ii1-11-1−ii-11-11i−i1-11-1−ii-11-11i−i1-11-1−ii1-11-1−ii-11-11i−i1-11-1−ii-11-11i−i
χ1722-1-10022-1-100-2-2110022-1-100-2-2110022-1-10022-1-100-2-2110022-1-100-2-2110022-1-10022-1-100-2-2110022-1-100-2-21100
χ182-2-11002-2-1100-221-1002-2-1100-221-1002-2-11002-2-1100-221-1002-2-1100-221-1002-2-11002-2-1100-221-1002-2-1100-221-100
χ19111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ201111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ211-11-1i−i1-11-1i−i-11-11−ii-11-11−ii1-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii-11-11−ii1-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii-11-11−ii1-11-1i−i
χ221-11-1−ii1-11-1−ii-11-11i−i-11-11i−i1-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i-11-11i−i1-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i-11-11i−i1-11-1−ii
χ2322-1-10022-1-100-2-21100-2-2110022-1-10022-1-10022-1-100-2-21100-2-2110022-1-10022-1-10022-1-100-2-21100-2-2110022-1-100
χ242-2-11002-2-1100-221-100-221-1002-2-11002-2-11002-2-1100-221-100-221-1002-2-11002-2-11002-2-1100-221-100-221-1002-2-1100
χ25222222-2-2-2-2-2-2000000000000000000222222-2-2-2-2-2-2000000000000000000222222-2-2-2-2-2-2000000000000000000
χ262222-2-2-2-2-2-2220000000000000000002222-2-2-2-2-2-2220000000000000000002222-2-2-2-2-2-222000000000000000000
χ272-22-22i−2i-22-22−2i2i0000000000000000002-22-22i−2i-22-22−2i2i0000000000000000002-22-22i−2i-22-22−2i2i000000000000000000
χ282-22-2−2i2i-22-222i−2i0000000000000000002-22-2−2i2i-22-222i−2i0000000000000000002-22-2−2i2i-22-222i−2i000000000000000000
χ2944-2-200-4-4220000000000000000000044-2-200-4-4220000000000000000000044-2-200-4-42200000000000000000000
χ304-4-2200-442-2000000000000000000004-4-2200-442-2000000000000000000004-4-2200-442-200000000000000000000
χ31111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ321111-1-11111-1-11111-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ331-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11
χ341-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11
χ3522-1-10022-1-10022-1-10022-1-10022-1-100−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200
χ362-2-11002-2-11002-2-11002-2-11002-2-1100−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200
χ37111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ381111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ391-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii-11-11−ii−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ111+i32−1−i321+i32−1−i32−ζ11ζ11
χ401-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i-11-11i−i−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ71−i32−1+i321−i32−1+i32ζ7−ζ7−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ111+i32−1−i321+i32−1−i32ζ11−ζ11
χ4122-1-10022-1-10022-1-100-2-21100-2-21100−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i32001−i31−i3−1+i32−1+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i32001+i31+i3−1−i32−1−i3200
χ422-2-11002-2-11002-2-1100-221-100-221-100−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i32001−i3−1+i3−1+i321−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i32001+i3−1−i3−1−i321+i3200
χ43111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ441111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ451-11-1i−i1-11-1i−i-11-11−ii1-11-1i−i-11-11−ii−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11
χ461-11-1−ii1-11-1−ii-11-11i−i1-11-1−ii-11-11i−i−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11
χ4722-1-10022-1-100-2-2110022-1-100-2-21100−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i3200
χ482-2-11002-2-1100-221-1002-2-1100-221-100−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i3200
χ49111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−1+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−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−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
χ501111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ511-11-1i−i1-11-1i−i-11-11−ii-11-11−ii1-11-1i−i−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i32−1−i321+i32ζ11−ζ11
χ521-11-1−ii1-11-1−ii-11-11i−i-11-11i−i1-11-1−ii−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ71−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ111+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i32−1−i321+i32−ζ11ζ11
χ5322-1-10022-1-100-2-21100-2-2110022-1-100−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i32001−i31−i3−1+i32−1+i3200−1+i3−1+i31−i321−i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i32001+i31+i3−1−i32−1−i3200−1−i3−1−i31+i321+i3200
χ542-2-11002-2-1100-221-100-221-1002-2-1100−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i32001−i3−1+i3−1+i321−i3200−1+i31−i31−i32−1+i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i32001+i3−1−i3−1−i321+i3200−1−i31+i31+i32−1−i3200
χ55222222-2-2-2-2-2-2000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3000000000000000000
χ562222-2-2-2-2-2-222000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3000000000000000000
χ572-22-22i−2i-22-22−2i2i000000000000000000−1+i31−i3−1+i31−i32ζ7−2ζ71−i3−1+i31−i3−1+i3−2ζ72ζ7000000000000000000−1−i31+i3−1−i31+i32ζ11−2ζ111+i3−1−i31+i3−1−i3−2ζ112ζ11000000000000000000
χ582-22-2−2i2i-22-222i−2i000000000000000000−1+i31−i3−1+i31−i3−2ζ72ζ71−i3−1+i31−i3−1+i32ζ7−2ζ7000000000000000000−1−i31+i3−1−i31+i3−2ζ112ζ111+i3−1−i31+i3−1−i32ζ11−2ζ11000000000000000000
χ5944-2-200-4-42200000000000000000000−2+2i3−2+2i31−i31−i3002−2i32−2i3−1+i3−1+i300000000000000000000−2−2i3−2−2i31+i31+i3002+2i32+2i3−1−i3−1−i300000000000000000000
χ604-4-2200-442-200000000000000000000−2+2i32−2i31−i3−1+i3002−2i3−2+2i3−1+i31−i300000000000000000000−2−2i32+2i31+i3−1−i3002+2i3−2−2i3−1−i31+i300000000000000000000
χ61111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ621111-1-11111-1-11111-1-11111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ631-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7
χ641-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7
χ6522-1-10022-1-10022-1-10022-1-10022-1-100−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200
χ662-2-11002-2-11002-2-11002-2-11002-2-1100−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200
χ67111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ681111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ691-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii-11-11−ii−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ71−i32−1+i321−i32−1+i32−ζ7ζ7
χ701-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i-11-11i−i−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ111+i32−1−i321+i32−1−i32ζ11−ζ11−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ71−i32−1+i321−i32−1+i32ζ7−ζ7
χ7122-1-10022-1-10022-1-100-2-21100-2-21100−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i32001+i31+i3−1−i32−1−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i32001−i31−i3−1+i32−1+i3200
χ722-2-11002-2-11002-2-1100-221-100-221-100−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i32001+i3−1−i3−1−i321+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i32001−i3−1+i3−1+i321−i3200
χ73111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ741111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ751-11-1i−i1-11-1i−i-11-11−ii1-11-1i−i-11-11−ii−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7
χ761-11-1−ii1-11-1−ii-11-11i−i1-11-1−ii-11-11i−i−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7
χ7722-1-10022-1-100-2-2110022-1-100-2-21100−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i3200
χ782-2-11002-2-1100-221-1002-2-1100-221-100−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i3200
χ79111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−1−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+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+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
χ801111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ811-11-1i−i1-11-1i−i-11-11−ii-11-11−ii1-11-1i−i−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i32−1+i321−i32ζ7−ζ7
χ821-11-1−ii1-11-1−ii-11-11i−i-11-11i−i1-11-1−ii−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ111+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ71−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i32−1+i321−i32−ζ7ζ7
χ8322-1-10022-1-100-2-21100-2-2110022-1-100−1−i3−1−i31+i321+i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i32001+i31+i3−1−i32−1−i3200−1−i3−1−i31+i321+i3200−1+i3−1+i31−i321−i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i32001−i31−i3−1+i32−1+i3200−1+i3−1+i31−i321−i3200
χ842-2-11002-2-1100-221-100-221-1002-2-1100−1−i31+i31+i32−1−i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i32001+i3−1−i3−1−i321+i3200−1−i31+i31+i32−1−i3200−1+i31−i31−i32−1+i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i32001−i3−1+i3−1+i321−i3200−1+i31−i31−i32−1+i3200
χ85222222-2-2-2-2-2-2000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3000000000000000000
χ862222-2-2-2-2-2-222000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3000000000000000000
χ872-22-22i−2i-22-22−2i2i000000000000000000−1−i31+i3−1−i31+i32ζ11−2ζ111+i3−1−i31+i3−1−i3−2ζ112ζ11000000000000000000−1+i31−i3−1+i31−i32ζ7−2ζ71−i3−1+i31−i3−1+i3−2ζ72ζ7000000000000000000
χ882-22-2−2i2i-22-222i−2i000000000000000000−1−i31+i3−1−i31+i3−2ζ112ζ111+i3−1−i31+i3−1−i32ζ11−2ζ11000000000000000000−1+i31−i3−1+i31−i3−2ζ72ζ71−i3−1+i31−i3−1+i32ζ7−2ζ7000000000000000000
χ8944-2-200-4-42200000000000000000000−2−2i3−2−2i31+i31+i3002+2i32+2i3−1−i3−1−i300000000000000000000−2+2i3−2+2i31−i31−i3002−2i32−2i3−1+i3−1+i300000000000000000000
χ904-4-2200-442-200000000000000000000−2−2i32+2i31+i3−1−i3002+2i3−2−2i3−1−i31+i300000000000000000000−2+2i32−2i31−i3−1+i3002−2i3−2+2i3−1+i31−i300000000000000000000

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