Finite Group Databasebeta

← Group #13180887

Character table — Group #13180887

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222226633666661818448888824244488888242422444441212661212121212363688161616161648488816161616164848336666618189918181818185454121224242424247272121224242424247272
order12346121222226461212223631261212663631261212663631261212666661261212663631261212663631261212662264612122222646121222666126121266666126121266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ3111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1
χ4111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11
χ522-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100
χ622-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100
χ72-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-20000
χ82-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300
χ92-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−3300
χ10111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ111111111-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111111-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111111-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ12111-11-1-11-1111-11-1-11-1−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32111-11-1-11-1111-11-1-11-1−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32111-11-1-11-1111-11-1-11-1−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32
χ13111-11-1-1-11111-11-1-1-11−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32111-11-1-1-11111-11-1-1-11−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32111-11-1-1-11111-11-1-1-11−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32
χ1422-12-1-1-10022-12-1-1-100−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1−i3−1−i31+i32−1−i31+i321+i321+i320022-12-1-1-10022-12-1-1-100−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1−i3−1−i31+i32−1−i31+i321+i321+i320022-12-1-1-10022-12-1-1-100−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1−i3−1−i31+i32−1−i31+i321+i321+i3200
χ1522-1-2-1110022-1-2-11100−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i320022-1-2-1110022-1-2-11100−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i320022-1-2-1110022-1-2-11100−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200
χ162-220-200002-220-20000−1+i31−i3−1+i301−i30000−1−i31+i3−1−i301+i300002-220-200002-220-20000−1+i31−i3−1+i301−i30000−1−i31+i3−1−i301+i300002-220-200002-220-20000−1+i31−i3−1+i301−i30000−1−i31+i3−1−i301+i30000
χ172-2-1013−3002-2-1013−300−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ11002-2-1013−3002-2-1013−300−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ11002-2-1013−3002-2-1013−300−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100
χ182-2-101−33002-2-101−3300−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ11002-2-101−33002-2-101−3300−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ11002-2-101−33002-2-101−3300−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100
χ19111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ201111111-1-11111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111111-1-11111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111111-1-11111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ21111-11-1-11-1111-11-1-11-1−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32111-11-1-11-1111-11-1-11-1−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32111-11-1-11-1111-11-1-11-1−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32
χ22111-11-1-1-11111-11-1-1-11−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32111-11-1-1-11111-11-1-1-11−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32111-11-1-1-11111-11-1-1-11−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32
χ2322-12-1-1-10022-12-1-1-100−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1+i3−1+i31−i32−1+i31−i321−i321−i320022-12-1-1-10022-12-1-1-100−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1+i3−1+i31−i32−1+i31−i321−i321−i320022-12-1-1-10022-12-1-1-100−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1+i3−1+i31−i32−1+i31−i321−i321−i3200
χ2422-1-2-1110022-1-2-11100−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i320022-1-2-1110022-1-2-11100−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i320022-1-2-1110022-1-2-11100−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200
χ252-220-200002-220-20000−1−i31+i3−1−i301+i30000−1+i31−i3−1+i301−i300002-220-200002-220-20000−1−i31+i3−1−i301+i30000−1+i31−i3−1+i301−i300002-220-200002-220-20000−1−i31+i3−1−i301+i30000−1+i31−i3−1+i301−i30000
χ262-2-1013−3002-2-1013−300−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ11002-2-1013−3002-2-1013−300−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ11002-2-1013−3002-2-1013−300−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100
χ272-2-101−33002-2-101−3300−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ11002-2-101−33002-2-101−3300−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ11002-2-101−33002-2-101−3300−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100
χ28333333333-1-1-1-1-1-1-1-1-1000000000000000000333333333-1-1-1-1-1-1-1-1-1000000000000000000333333333-1-1-1-1-1-1-1-1-1000000000000000000
χ293333333-3-3-1-1-1-1-1-1-1110000000000000000003333333-3-3-1-1-1-1-1-1-1110000000000000000003333333-3-3-1-1-1-1-1-1-111000000000000000000
χ30333-33-3-33-3-1-1-11-111-11000000000000000000333-33-3-33-3-1-1-11-111-11000000000000000000333-33-3-33-3-1-1-11-111-11000000000000000000
χ31333-33-3-3-33-1-1-11-1111-1000000000000000000333-33-3-3-33-1-1-11-1111-1000000000000000000333-33-3-3-33-1-1-11-1111-1000000000000000000
χ3266-36-3-3-300-2-21-21110000000000000000000066-36-3-3-300-2-21-21110000000000000000000066-36-3-3-300-2-21-211100000000000000000000
χ3366-3-6-33300-2-2121-1-10000000000000000000066-3-6-33300-2-2121-1-10000000000000000000066-3-6-33300-2-2121-1-100000000000000000000
χ346-660-60000-22-20200000000000000000000006-660-60000-22-20200000000000000000000006-660-60000-22-2020000000000000000000000
χ356-6-30333−3300-2210-1−33000000000000000000006-6-30333−3300-2210-1−33000000000000000000006-6-30333−3300-2210-1−3300000000000000000000
χ366-6-303−333300-2210-13−3000000000000000000006-6-303−333300-2210-13−3000000000000000000006-6-303−333300-2210-13−300000000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ39111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11
χ40111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1
χ4122-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-211100-2-21-211100-2-21-211100-2-21-211100
χ4222-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-100-2-2121-1-100-2-2121-1-100-2-2121-1-100
χ432-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-20000-22-2020000-22-2020000-22-2020000-22-2020000
χ442-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300-2210-1−3300-2210-1−3300-2210-1−3300-2210-1−3300
χ452-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−3300-2210-13−300-2210-13−300-2210-13−300-2210-13−300
χ46111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ471111111-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111111-1-11111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-1-1-1-111-1-1-1-1-1-1-1111−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ48111-11-1-11-1111-11-1-11-1−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32111-11-1-11-1111-11-1-11-1−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32-1-1-11-111-11-1-1-11-111-111−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ49111-11-1-1-11111-11-1-1-11−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32111-11-1-1-11111-11-1-1-11−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32-1-1-11-1111-1-1-1-11-1111-11−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32
χ5022-12-1-1-10022-12-1-1-100−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1−i3−1−i31+i32−1−i31+i321+i321+i320022-12-1-1-10022-12-1-1-100−1+i3−1+i31−i32−1+i31−i321−i321−i3200−1−i3−1−i31+i32−1−i31+i321+i321+i3200-2-21-211100-2-21-2111001−i31−i3−1+i321−i3−1+i32−1+i32−1+i32001+i31+i3−1−i321+i3−1−i32−1−i32−1−i3200
χ5122-1-2-1110022-1-2-11100−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i320022-1-2-1110022-1-2-11100−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200-2-2121-1-100-2-2121-1-1001−i31−i3−1+i32−1+i3−1+i321−i321−i32001+i31+i3−1−i32−1−i3−1−i321+i321+i3200
χ522-220-200002-220-20000−1+i31−i3−1+i301−i30000−1−i31+i3−1−i301+i300002-220-200002-220-20000−1+i31−i3−1+i301−i30000−1−i31+i3−1−i301+i30000-22-2020000-22-20200001−i3−1+i31−i30−1+i300001+i3−1−i31+i30−1−i30000
χ532-2-1013−3002-2-1013−300−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ11002-2-1013−3002-2-1013−300−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100-2210-1−3300-2210-1−33001−i3−1+i3−1+i3201−i32ζ7+2ζ11−ζ7−2ζ11001+i3−1−i3−1−i3201+i32−2ζ7−ζ112ζ7+ζ1100
χ542-2-101−33002-2-101−3300−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ11002-2-101−33002-2-101−3300−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100-2210-13−300-2210-13−3001−i3−1+i3−1+i3201−i32−ζ7−2ζ11ζ7+2ζ11001+i3−1−i3−1−i3201+i322ζ7+ζ11−2ζ7−ζ1100
χ55111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ561111111-1-11111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111111-1-11111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-1-1-1-111-1-1-1-1-1-1-1111+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ57111-11-1-11-1111-11-1-11-1−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32111-11-1-11-1111-11-1-11-1−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32-1-1-11-111-11-1-1-11-111-111+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ58111-11-1-1-11111-11-1-1-11−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32111-11-1-1-11111-11-1-1-11−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32-1-1-11-1111-1-1-1-11-1111-11+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32
χ5922-12-1-1-10022-12-1-1-100−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1+i3−1+i31−i32−1+i31−i321−i321−i320022-12-1-1-10022-12-1-1-100−1−i3−1−i31+i32−1−i31+i321+i321+i3200−1+i3−1+i31−i32−1+i31−i321−i321−i3200-2-21-211100-2-21-2111001+i31+i3−1−i321+i3−1−i32−1−i32−1−i32001−i31−i3−1+i321−i3−1+i32−1+i32−1+i3200
χ6022-1-2-1110022-1-2-11100−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i320022-1-2-1110022-1-2-11100−1−i3−1−i31+i321+i31+i32−1−i32−1−i3200−1+i3−1+i31−i321−i31−i32−1+i32−1+i3200-2-2121-1-100-2-2121-1-1001+i31+i3−1−i32−1−i3−1−i321+i321+i32001−i31−i3−1+i32−1+i3−1+i321−i321−i3200
χ612-220-200002-220-20000−1−i31+i3−1−i301+i30000−1+i31−i3−1+i301−i300002-220-200002-220-20000−1−i31+i3−1−i301+i30000−1+i31−i3−1+i301−i30000-22-2020000-22-20200001+i3−1−i31+i30−1−i300001−i3−1+i31−i30−1+i30000
χ622-2-1013−3002-2-1013−300−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ11002-2-1013−3002-2-1013−300−1−i31+i31+i320−1−i322ζ7+ζ11−2ζ7−ζ1100−1+i31−i31−i320−1+i32−ζ7−2ζ11ζ7+2ζ1100-2210-1−3300-2210-1−33001+i3−1−i3−1−i3201+i32−2ζ7−ζ112ζ7+ζ11001−i3−1+i3−1+i3201−i32ζ7+2ζ11−ζ7−2ζ1100
χ632-2-101−33002-2-101−3300−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ11002-2-101−33002-2-101−3300−1−i31+i31+i320−1−i32−2ζ7−ζ112ζ7+ζ1100−1+i31−i31−i320−1+i32ζ7+2ζ11−ζ7−2ζ1100-2210-13−300-2210-13−3001+i3−1−i3−1−i3201+i322ζ7+ζ11−2ζ7−ζ11001−i3−1+i3−1+i3201−i32−ζ7−2ζ11ζ7+2ζ1100
χ64333333333-1-1-1-1-1-1-1-1-1000000000000000000333333333-1-1-1-1-1-1-1-1-1000000000000000000-3-3-3-3-3-3-3-3-3111111111000000000000000000
χ653333333-3-3-1-1-1-1-1-1-1110000000000000000003333333-3-3-1-1-1-1-1-1-111000000000000000000-3-3-3-3-3-3-3331111111-1-1000000000000000000
χ66333-33-3-33-3-1-1-11-111-11000000000000000000333-33-3-33-3-1-1-11-111-11000000000000000000-3-3-33-333-33111-11-1-11-1000000000000000000
χ67333-33-3-3-33-1-1-11-1111-1000000000000000000333-33-3-3-33-1-1-11-1111-1000000000000000000-3-3-33-3333-3111-11-1-1-11000000000000000000
χ6866-36-3-3-300-2-21-21110000000000000000000066-36-3-3-300-2-21-211100000000000000000000-6-63-63330022-12-1-1-100000000000000000000
χ6966-3-6-33300-2-2121-1-10000000000000000000066-3-6-33300-2-2121-1-100000000000000000000-6-6363-3-30022-1-2-11100000000000000000000
χ706-660-60000-22-20200000000000000000000006-660-60000-22-2020000000000000000000000-66-60600002-220-20000000000000000000000
χ716-6-30333−3300-2210-1−33000000000000000000006-6-30333−3300-2210-1−3300000000000000000000-6630-3−3333002-2-1013−300000000000000000000
χ726-6-303−333300-2210-13−3000000000000000000006-6-303−333300-2210-13−300000000000000000000-6630-333−33002-2-101−3300000000000000000000
χ73222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ742222222-2-22222222-2-22222222-2-22222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111000000000000000000000000000000000000
χ75222-22-2-22-2222-22-2-22-2222-22-2-22-2222-22-2-22-2-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11000000000000000000000000000000000000
χ76222-22-2-2-22222-22-2-2-22222-22-2-2-22222-22-2-2-22-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1000000000000000000000000000000000000
χ7744-24-2-2-20044-24-2-2-20044-24-2-2-20044-24-2-2-200-2-21-211100-2-21-211100-2-21-211100-2-21-211100000000000000000000000000000000000000
χ7844-2-4-2220044-2-4-2220044-2-4-2220044-2-4-22200-2-2121-1-100-2-2121-1-100-2-2121-1-100-2-2121-1-100000000000000000000000000000000000000
χ794-440-400004-440-400004-440-400004-440-40000-22-2020000-22-2020000-22-2020000-22-2020000000000000000000000000000000000000000
χ804-4-20223−23004-4-20223−23004-4-20223−23004-4-20223−2300-2210-1−3300-2210-1−3300-2210-1−3300-2210-1−3300000000000000000000000000000000000000
χ814-4-202−2323004-4-202−2323004-4-202−2323004-4-202−232300-2210-13−300-2210-13−300-2210-13−300-2210-13−300000000000000000000000000000000000000
χ82222222222222222222−1+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−i3−1−i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000000000000000
χ832222222-2-22222222-2-2−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3-1-1-1-1-1-1-111-1-1-1-1-1-1-1111−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32000000000000000000000000000000000000
χ84222-22-2-22-2222-22-2-22-2−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3-1-1-11-111-11-1-1-11-111-111−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32000000000000000000000000000000000000
χ85222-22-2-2-22222-22-2-2-22−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3-1-1-11-1111-1-1-1-11-1111-11−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32000000000000000000000000000000000000
χ8644-24-2-2-20044-24-2-2-200−2+2i3−2+2i31−i3−2+2i31−i31−i31−i300−2−2i3−2−2i31+i3−2−2i31+i31+i31+i300-2-21-211100-2-21-2111001−i31−i3−1+i321−i3−1+i32−1+i32−1+i32001+i31+i3−1−i321+i3−1−i32−1−i32−1−i3200000000000000000000000000000000000000
χ8744-2-4-2220044-2-4-22200−2+2i3−2+2i31−i32−2i31−i3−1+i3−1+i300−2−2i3−2−2i31+i32+2i31+i3−1−i3−1−i300-2-2121-1-100-2-2121-1-1001−i31−i3−1+i32−1+i3−1+i321−i321−i32001+i31+i3−1−i32−1−i3−1−i321+i321+i3200000000000000000000000000000000000000
χ884-440-400004-440-40000−2+2i32−2i3−2+2i302−2i30000−2−2i32+2i3−2−2i302+2i30000-22-2020000-22-20200001−i3−1+i31−i30−1+i300001+i3−1−i31+i30−1−i30000000000000000000000000000000000000000
χ894-4-20223−23004-4-20223−2300−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ1100−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ1100-2210-1−3300-2210-1−33001−i3−1+i3−1+i3201−i32ζ7+2ζ11−ζ7−2ζ11001+i3−1−i3−1−i3201+i32−2ζ7−ζ112ζ7+ζ1100000000000000000000000000000000000000
χ904-4-202−2323004-4-202−232300−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ1100−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ1100-2210-13−300-2210-13−3001−i3−1+i3−1+i3201−i32−ζ7−2ζ11ζ7+2ζ11001+i3−1−i3−1−i3201+i322ζ7+ζ11−2ζ7−ζ1100000000000000000000000000000000000000
χ91222222222222222222−1−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+i3−1+i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000000000000000
χ922222222-2-22222222-2-2−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3-1-1-1-1-1-1-111-1-1-1-1-1-1-1111+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32000000000000000000000000000000000000
χ93222-22-2-22-2222-22-2-22-2−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3-1-1-11-111-11-1-1-11-111-111+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32000000000000000000000000000000000000
χ94222-22-2-2-22222-22-2-2-22−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3-1-1-11-1111-1-1-1-11-1111-11+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32000000000000000000000000000000000000
χ9544-24-2-2-20044-24-2-2-200−2−2i3−2−2i31+i3−2−2i31+i31+i31+i300−2+2i3−2+2i31−i3−2+2i31−i31−i31−i300-2-21-211100-2-21-2111001+i31+i3−1−i321+i3−1−i32−1−i32−1−i32001−i31−i3−1+i321−i3−1+i32−1+i32−1+i3200000000000000000000000000000000000000
χ9644-2-4-2220044-2-4-22200−2−2i3−2−2i31+i32+2i31+i3−1−i3−1−i300−2+2i3−2+2i31−i32−2i31−i3−1+i3−1+i300-2-2121-1-100-2-2121-1-1001+i31+i3−1−i32−1−i3−1−i321+i321+i32001−i31−i3−1+i32−1+i3−1+i321−i321−i3200000000000000000000000000000000000000
χ974-440-400004-440-40000−2−2i32+2i3−2−2i302+2i30000−2+2i32−2i3−2+2i302−2i30000-22-2020000-22-20200001+i3−1−i31+i30−1−i300001−i3−1+i31−i30−1+i30000000000000000000000000000000000000000
χ984-4-20223−23004-4-20223−2300−2−2i32+2i31+i30−1−i34ζ7+2ζ11−4ζ7−2ζ1100−2+2i32−2i31−i30−1+i3−2ζ7−4ζ112ζ7+4ζ1100-2210-1−3300-2210-1−33001+i3−1−i3−1−i3201+i32−2ζ7−ζ112ζ7+ζ11001−i3−1+i3−1+i3201−i32ζ7+2ζ11−ζ7−2ζ1100000000000000000000000000000000000000
χ994-4-202−2323004-4-202−232300−2−2i32+2i31+i30−1−i3−4ζ7−2ζ114ζ7+2ζ1100−2+2i32−2i31−i30−1+i32ζ7+4ζ11−2ζ7−4ζ1100-2210-13−300-2210-13−3001+i3−1−i3−1−i3201+i322ζ7+ζ11−2ζ7−ζ11001−i3−1+i3−1+i3201−i32−ζ7−2ζ11ζ7+2ζ1100000000000000000000000000000000000000
χ100666666666-2-2-2-2-2-2-2-2-2000000000000000000-3-3-3-3-3-3-3-3-3111111111000000000000000000000000000000000000000000000000000000
χ1016666666-6-6-2-2-2-2-2-2-222000000000000000000-3-3-3-3-3-3-3331111111-1-1000000000000000000000000000000000000000000000000000000
χ102666-66-6-66-6-2-2-22-222-22000000000000000000-3-3-33-333-33111-11-1-11-1000000000000000000000000000000000000000000000000000000
χ103666-66-6-6-66-2-2-22-2222-2000000000000000000-3-3-33-3333-3111-11-1-1-11000000000000000000000000000000000000000000000000000000
χ1041212-612-6-6-600-4-42-422200000000000000000000-6-63-63330022-12-1-1-100000000000000000000000000000000000000000000000000000000
χ1051212-6-12-66600-4-4242-2-200000000000000000000-6-6363-3-30022-1-2-11100000000000000000000000000000000000000000000000000000000
χ10612-12120-120000-44-4040000000000000000000000-66-60600002-220-20000000000000000000000000000000000000000000000000000000000
χ10712-12-60663−6300-4420-2−232300000000000000000000-6630-3−3333002-2-1013−300000000000000000000000000000000000000000000000000000000
χ10812-12-606−636300-4420-223−2300000000000000000000-6630-333−33002-2-101−3300000000000000000000000000000000000000000000000000000000

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