Finite Group Databasebeta

← Group #3733

Character table — Group #3733

Order 144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112233112233112233112233112233112233112233112233112233112233112233112233
order123644441212442266444412124436361212121212121212666612121212121212123636121212121212121266661212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
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−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−ii
χ522-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-10022-1-100
χ62-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-11002-2-1100
χ7111111iiiiii-1-1-1-1-1-1−i−i−i−i−i−i111111iiiiii-1-1-1-1-1-1−i−i−i−i−i−i111111iiiiii-1-1-1-1-1-1−i−i−i−i−i−i
χ81111-1-1iiii−i−i-1-1-1-111−i−i−i−iii1111-1-1iiii−i−i-1-1-1-111−i−i−i−iii1111-1-1iiii−i−i-1-1-1-111−i−i−i−iii
χ91-11-1i−ii−ii−i-11-11-11−ii−ii−ii1-11-11-1i−ii−ii−i-11-11-11−ii−ii−ii1-11-11-1i−ii−ii−i-11-11-11−ii−ii−ii1-1
χ101-11-1−iii−ii−i1-1-11-11i−i−ii−ii-111-11-1−iii−ii−i1-1-11-11i−i−ii−ii-111-11-1−iii−ii−i1-1-11-11i−i−ii−ii-11
χ1122-1-1002i2i−i−i00-2-21100−2i−2iii0022-1-1002i2i−i−i00-2-21100−2i−2iii0022-1-1002i2i−i−i00-2-21100−2i−2iii00
χ122-2-11002i−2i−ii00-221-100−2i2ii−i002-2-11002i−2i−ii00-221-100−2i2ii−i002-2-11002i−2i−ii00-221-100−2i2ii−i00
χ13111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ141111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ151-11-1i−i-11-11−ii1-11-1i−i-11-11−ii1-11-1i−i-11-11−ii1-11-1i−i-11-11−ii1-11-1i−i-11-11−ii1-11-1i−i-11-11−ii
χ161-11-1−ii-11-11i−i1-11-1−ii-11-11i−i1-11-1−ii-11-11i−i1-11-1−ii-11-11i−i1-11-1−ii-11-11i−i1-11-1−ii-11-11i−i
χ1722-1-100-2-2110022-1-100-2-2110022-1-100-2-2110022-1-100-2-2110022-1-100-2-2110022-1-100-2-21100
χ182-2-1100-221-1002-2-1100-221-1002-2-1100-221-1002-2-1100-221-1002-2-1100-221-1002-2-1100-221-100
χ19111111−i−i−i−i−i−i-1-1-1-1-1-1iiiiii111111−i−i−i−i−i−i-1-1-1-1-1-1iiiiii111111−i−i−i−i−i−i-1-1-1-1-1-1iiiiii
χ201111-1-1−i−i−i−iii-1-1-1-111iiii−i−i1111-1-1−i−i−i−iii-1-1-1-111iiii−i−i1111-1-1−i−i−i−iii-1-1-1-111iiii−i−i
χ211-11-1i−i−ii−ii1-1-11-11−iii−ii−i-111-11-1i−i−ii−ii1-1-11-11−iii−ii−i-111-11-1i−i−ii−ii1-1-11-11−iii−ii−i-11
χ221-11-1−ii−ii−ii-11-11-11i−ii−ii−i1-11-11-1−ii−ii−ii-11-11-11i−ii−ii−i1-11-11-1−ii−ii−ii-11-11-11i−ii−ii−i1-1
χ2322-1-100−2i−2iii00-2-211002i2i−i−i0022-1-100−2i−2iii00-2-211002i2i−i−i0022-1-100−2i−2iii00-2-211002i2i−i−i00
χ242-2-1100−2i2ii−i00-221-1002i−2i−ii002-2-1100−2i2ii−i00-221-1002i−2i−ii002-2-1100−2i2ii−i00-221-1002i−2i−ii00
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ261111-1-11111-1-11111-1-11111-1-1−1+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
χ271-11-1i−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+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11
χ281-11-1−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−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11
χ2922-1-10022-1-10022-1-10022-1-100−1+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
χ302-2-11002-2-11002-2-11002-2-1100−1+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
χ31111111iiiiii-1-1-1-1-1-1−i−i−i−i−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ7ζ7ζ71−i321−i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ11ζ11ζ11ζ11ζ11ζ111+i321+i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11
χ321111-1-1iiii−i−i-1-1-1-111−i−i−i−iii−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ331-11-1i−ii−ii−i-11-11-11−ii−ii−ii1-1−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32
χ341-11-1−iii−ii−i1-1-11-11i−i−ii−ii-11−1+i321−i32−1+i321−i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−ζ7ζ71−i32−1+i32−1−i321+i32−1−i321+i32−ζ11ζ11ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−ζ11ζ111+i32−1−i32
χ3522-1-1002i2i−i−i00-2-21100−2i−2iii00−1+i3−1+i31−i321−i32002ζ72ζ7−ζ7−ζ7001−i31−i3−1+i32−1+i3200−2ζ7−2ζ7ζ7ζ700−1−i3−1−i31+i321+i32002ζ112ζ11−ζ11−ζ11001+i31+i3−1−i32−1−i3200−2ζ11−2ζ11ζ11ζ1100
χ362-2-11002i−2i−ii00-221-100−2i2ii−i00−1+i31−i31−i32−1+i32002ζ7−2ζ7−ζ7ζ7001−i3−1+i3−1+i321−i3200−2ζ72ζ7ζ7−ζ700−1−i31+i31+i32−1−i32002ζ11−2ζ11−ζ11ζ11001+i3−1−i3−1−i321+i3200−2ζ112ζ11ζ11−ζ1100
χ37111111-1-1-1-1-1-1111111-1-1-1-1-1-1−1+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−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
χ381111-1-1-1-1-1-1111111-1-1-1-1-1-111−1+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+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
χ391-11-1i−i-11-11−ii1-11-1i−i-11-11−ii−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−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11
χ401-11-1−ii-11-11i−i1-11-1−ii-11-11i−i−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−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11
χ4122-1-100-2-2110022-1-100-2-21100−1+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+i32001+i31+i3−1−i32−1−i3200−1−i3−1−i31+i321+i32001+i31+i3−1−i32−1−i3200
χ422-2-1100-221-1002-2-1100-221-100−1+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−i32001+i3−1−i3−1−i321+i3200−1−i31+i31+i32−1−i32001+i3−1−i3−1−i321+i3200
χ43111111−i−i−i−i−i−i-1-1-1-1-1-1iiiiii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ71−i321−i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ111+i321+i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11
χ441111-1-1−i−i−i−iii-1-1-1-111iiii−i−i−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11
χ451-11-1i−i−ii−ii1-1-11-11−iii−ii−i-11−1+i321−i32−1+i321−i32ζ7−ζ7−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ7ζ7−ζ71−i32−1+i32−1−i321+i32−1−i321+i32ζ11−ζ11−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ11ζ11−ζ111+i32−1−i32
χ461-11-1−ii−ii−ii-11-11-11i−ii−ii−i1-1−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7ζ7−ζ7−1+i321−i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11ζ11−ζ11−1−i321+i32
χ4722-1-100−2i−2iii00-2-211002i2i−i−i00−1+i3−1+i31−i321−i3200−2ζ7−2ζ7ζ7ζ7001−i31−i3−1+i32−1+i32002ζ72ζ7−ζ7−ζ700−1−i3−1−i31+i321+i3200−2ζ11−2ζ11ζ11ζ11001+i31+i3−1−i32−1−i32002ζ112ζ11−ζ11−ζ1100
χ482-2-1100−2i2ii−i00-221-1002i−2i−ii00−1+i31−i31−i32−1+i3200−2ζ72ζ7ζ7−ζ7001−i3−1+i3−1+i321−i32002ζ7−2ζ7−ζ7ζ700−1−i31+i31+i32−1−i3200−2ζ112ζ11ζ11−ζ11001+i3−1−i3−1−i321+i32002ζ11−2ζ11−ζ11ζ1100
χ49111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ501111-1-11111-1-11111-1-11111-1-1−1−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
χ511-11-1i−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−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7
χ521-11-1−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−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7
χ5322-1-10022-1-10022-1-10022-1-100−1−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
χ542-2-11002-2-11002-2-11002-2-1100−1−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
χ55111111iiiiii-1-1-1-1-1-1−i−i−i−i−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32ζ11ζ11ζ11ζ11ζ11ζ111+i321+i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32ζ7ζ7ζ7ζ7ζ7ζ71−i321−i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7
χ561111-1-1iiii−i−i-1-1-1-111−i−i−i−iii−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ111+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ71−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ571-11-1i−ii−ii−i-11-11-11−ii−ii−ii1-1−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32
χ581-11-1−iii−ii−i1-1-11-11i−i−ii−ii-11−1−i321+i32−1−i321+i32−ζ11ζ11ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11−ζ11ζ11−ζ11ζ111+i32−1−i32−1+i321−i32−1+i321−i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7−ζ7ζ7−ζ7ζ71−i32−1+i32
χ5922-1-1002i2i−i−i00-2-21100−2i−2iii00−1−i3−1−i31+i321+i32002ζ112ζ11−ζ11−ζ11001+i31+i3−1−i32−1−i3200−2ζ11−2ζ11ζ11ζ1100−1+i3−1+i31−i321−i32002ζ72ζ7−ζ7−ζ7001−i31−i3−1+i32−1+i3200−2ζ7−2ζ7ζ7ζ700
χ602-2-11002i−2i−ii00-221-100−2i2ii−i00−1−i31+i31+i32−1−i32002ζ11−2ζ11−ζ11ζ11001+i3−1−i3−1−i321+i3200−2ζ112ζ11ζ11−ζ1100−1+i31−i31−i32−1+i32002ζ7−2ζ7−ζ7ζ7001−i3−1+i3−1+i321−i3200−2ζ72ζ7ζ7−ζ700
χ61111111-1-1-1-1-1-1111111-1-1-1-1-1-1−1−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+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
χ621111-1-1-1-1-1-1111111-1-1-1-1-1-111−1−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−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
χ631-11-1i−i-11-11−ii1-11-1i−i-11-11−ii−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−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7
χ641-11-1−ii-11-11i−i1-11-1−ii-11-11i−i−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−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7
χ6522-1-100-2-2110022-1-100-2-21100−1−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−i32001−i31−i3−1+i32−1+i3200−1+i3−1+i31−i321−i32001−i31−i3−1+i32−1+i3200
χ662-2-1100-221-1002-2-1100-221-100−1−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+i32001−i3−1+i3−1+i321−i3200−1+i31−i31−i32−1+i32001−i3−1+i3−1+i321−i3200
χ67111111−i−i−i−i−i−i-1-1-1-1-1-1iiiiii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ111+i321+i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ71−i321−i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7
χ681111-1-1−i−i−i−iii-1-1-1-111iiii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ111+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ71−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7ζ7ζ7−ζ7−ζ7
χ691-11-1i−i−ii−ii1-1-11-11−iii−ii−i-11−1−i321+i32−1−i321+i32ζ11−ζ11−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11ζ11−ζ11ζ11−ζ111+i32−1−i32−1+i321−i32−1+i321−i32ζ7−ζ7−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7ζ7−ζ7ζ7−ζ71−i32−1+i32
χ701-11-1−ii−ii−ii-11-11-11i−ii−ii−i1-1−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11ζ11−ζ11−1−i321+i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7ζ7−ζ7−1+i321−i32
χ7122-1-100−2i−2iii00-2-211002i2i−i−i00−1−i3−1−i31+i321+i3200−2ζ11−2ζ11ζ11ζ11001+i31+i3−1−i32−1−i32002ζ112ζ11−ζ11−ζ1100−1+i3−1+i31−i321−i3200−2ζ7−2ζ7ζ7ζ7001−i31−i3−1+i32−1+i32002ζ72ζ7−ζ7−ζ700
χ722-2-1100−2i2ii−i00-221-1002i−2i−ii00−1−i31+i31+i32−1−i3200−2ζ112ζ11ζ11−ζ11001+i3−1−i3−1−i321+i32002ζ11−2ζ11−ζ11ζ1100−1+i31−i31−i32−1+i3200−2ζ72ζ7ζ7−ζ7001−i3−1+i3−1+i321−i32002ζ7−2ζ7−ζ7ζ700

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