Finite Group Databasebeta

← Group #11923343

Character table — Group #11923343

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222226666333366666666661818181844448888888888242424244444888888888824242424111122222222226666333366666666661818181844448888888888242424244444888888888824242424
order12223446661212121244442222644666121212124444366631212666121212121212121236663121266612121212121212122222644666121212124444222264466612121212444466666121266612121212121212126666612126661212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ311111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1
χ411111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111
χ51-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i
χ61-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii
χ71-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii
χ81-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i
χ92222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000
χ102222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000
χ1122-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-200000000
χ1222-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−30000
χ1322-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−330000
χ142-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii0000
χ152-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i0000
χ162-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-2200000000
χ172-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i30000
χ182-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i30000
χ19111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2011111111111111-1-1-1-111111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i3211111111111111-1-1-1-111111111111111-1-1-1-1−1+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+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−i321+i321+i321+i321+i32
χ2111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i3211111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ2211111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3211111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ231-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ111-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11
χ241-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ111-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11
χ251-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ111-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11
χ261-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ111-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11
χ272222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3200002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i320000
χ282222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ2922-2-2200-22-20000000022-2-2200-22-200000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i30000000022-2-2200-22-20000000022-2-2200-22-200000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i300000000
χ3022-2-2-1001-113−33−3000022-2-2-1001-113−33−30000−1+i3−1+i31−i31−i31−i3200−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i31+i3200−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000022-2-2-1001-113−33−3000022-2-2-1001-113−33−30000−1+i3−1+i31−i31−i31−i3200−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i31+i3200−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000
χ3122-2-2-1001-11−33−33000022-2-2-1001-11−33−330000−1+i3−1+i31−i31−i31−i3200−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i31+i3200−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000022-2-2-1001-11−33−33000022-2-2-1001-11−33−330000−1+i3−1+i31−i31−i31−i3200−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i31+i3200−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000
χ322-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii0000−1+i31−i3−1+i31−i31−i322ζ7−2ζ71−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ70000−1−i31+i3−1−i31+i31+i322ζ11−2ζ111+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ1100002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii0000−1+i31−i3−1+i31−i31−i322ζ7−2ζ71−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ70000−1−i31+i3−1−i31+i31+i322ζ11−2ζ111+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ110000
χ332-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i0000−1+i31−i3−1+i31−i31−i32−2ζ72ζ71−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ70000−1−i31+i3−1−i31+i31+i32−2ζ112ζ111+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ1100002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i0000−1+i31−i3−1+i31−i31−i32−2ζ72ζ71−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ70000−1−i31+i3−1−i31+i31+i32−2ζ112ζ111+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ110000
χ342-2-22200-2-22000000002-2-22200-2-2200000000−1+i31−i31−i3−1+i3−1+i3001−i31−i3−1+i300000000−1−i31+i31+i3−1−i3−1−i3001+i31+i3−1−i3000000002-2-22200-2-22000000002-2-22200-2-2200000000−1+i31−i31−i3−1+i3−1+i3001−i31−i3−1+i300000000−1−i31+i31+i3−1−i3−1−i3001+i31+i3−1−i300000000
χ352-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i30000−1+i31−i31−i3−1+i31−i3200−1+i32−1+i321−i323+i32−3−i32−3−i323+i320000−1−i31+i31+i3−1−i31+i3200−1−i32−1−i321+i32−3+i323−i323−i32−3+i3200002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i30000−1+i31−i31−i3−1+i31−i3200−1+i32−1+i321−i323+i32−3−i32−3−i323+i320000−1−i31+i31+i3−1−i31+i3200−1−i32−1−i321+i32−3+i323−i323−i32−3+i320000
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χ882-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-2200000000-222-2-20022-200000000-222-2-20022-200000000-222-2-20022-200000000-222-2-20022-200000000
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χ91111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
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χ9311111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-1111−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ9411111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-111-1-1-1111111-1-11−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
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χ1072-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i30000−1+i31−i31−i3−1+i31−i3200−1+i32−1+i321−i323+i32−3−i32−3−i323+i320000−1−i31+i31+i3−1−i31+i3200−1−i32−1−i321+i32−3+i323−i323−i32−3+i320000-222-2100-1-11i3−i3−i3i30000-222-2100-1-11i3−i3−i3i300001−i3−1+i3−1+i31−i3−1+i32001−i321−i32−1+i32−3−i323+i323+i32−3−i3200001+i3−1−i3−1−i31+i3−1−i32001+i321+i32−1−i323−i32−3+i32−3+i323−i320000
χ1082-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i30000−1+i31−i31−i3−1+i31−i3200−1+i32−1+i321−i32−3−i323+i323+i32−3−i320000−1−i31+i31+i3−1−i31+i3200−1−i32−1−i321+i323−i32−3+i32−3+i323−i320000-222-2100-1-11−i3i3i3−i30000-222-2100-1-11−i3i3i3−i300001−i3−1+i3−1+i31−i3−1+i32001−i321−i32−1+i323+i32−3−i32−3−i323+i3200001+i3−1−i3−1−i31+i3−1−i32001+i321+i32−1−i32−3+i323−i323−i32−3+i320000
χ109111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ11011111111111111-1-1-1-111111111111111-1-1-1-1−1−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−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+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ11111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-1111+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ11211111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-111-1-1-1111111-1-11+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1131-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7-11-11-1−ii-111−i−iii-11−ii-11-11-1−ii-111−i−iii-11−ii1+i32−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32−1−i32−ζ11ζ111−i32−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32−1+i32−ζ7ζ7
χ1141-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7-11-11-1−ii-111−i−iii1-1i−i-11-11-1−ii-111−i−iii1-1i−i1+i32−1−i321+i32−1−i321+i32−ζ11ζ111+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i32ζ11−ζ111−i32−1+i321−i32−1+i321−i32−ζ7ζ71−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i32ζ7−ζ7
χ1151-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7-11-11-1i−i-111ii−i−i-11i−i-11-11-1i−i-111ii−i−i-11i−i1+i32−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ111−i32−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ7
χ1161-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7-11-11-1i−i-111ii−i−i1-1−ii-11-11-1i−i-111ii−i−i1-1−ii1+i32−1−i321+i32−1−i321+i32ζ11−ζ111+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i32−ζ11ζ111−i32−1+i321−i32−1+i321−i32ζ7−ζ71−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i32−ζ7ζ7
χ1172222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i320000-2-2-2-21-2-211111110000-2-2-2-21-2-2111111100001+i31+i31+i31+i3−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001−i31−i31−i31−i3−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000
χ1182222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000-2-2-2-2122111-1-1-1-10000-2-2-2-2122111-1-1-1-100001+i31+i31+i31+i3−1−i32−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i321+i3200001−i31−i31−i31−i3−1+i32−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i321−i320000
χ11922-2-2200-22-20000000022-2-2200-22-200000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i300000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i300000000-2-222-2002-2200000000-2-222-2002-22000000001+i31+i3−1−i3−1−i31+i300−1−i31+i3−1−i3000000001−i31−i3−1+i3−1+i31−i300−1+i31−i3−1+i300000000
χ12022-2-2-1001-113−33−3000022-2-2-1001-113−33−30000−1−i3−1−i31+i31+i31+i3200−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000−1+i3−1+i31−i31−i31−i3200−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000-2-222100-11-1−33−330000-2-222100-11-1−33−3300001+i31+i3−1−i3−1−i3−1−i32001+i32−1−i321+i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100001−i31−i3−1+i3−1+i3−1+i32001−i32−1+i321−i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000
χ12122-2-2-1001-11−33−33000022-2-2-1001-11−33−330000−1−i3−1−i31+i31+i31+i3200−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000−1+i3−1+i31−i31−i31−i3200−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000-2-222100-11-13−33−30000-2-222100-11-13−33−300001+i31+i3−1−i3−1−i3−1−i32001+i32−1−i321+i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100001−i31−i3−1+i3−1+i3−1+i32001−i32−1+i321−i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000
χ1222-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii0000−1−i31+i3−1−i31+i31+i322ζ11−2ζ111+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ110000−1+i31−i3−1+i31−i31−i322ζ7−2ζ71−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ70000-22-221−2i2i1-1-1ii−i−i0000-22-221−2i2i1-1-1ii−i−i00001+i3−1−i31+i3−1−i3−1−i32−2ζ112ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ1100001−i3−1+i31−i3−1+i3−1+i32−2ζ72ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ70000
χ1232-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i0000−1−i31+i3−1−i31+i31+i32−2ζ112ζ111+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ110000−1+i31−i3−1+i31−i31−i32−2ζ72ζ71−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ70000-22-2212i−2i1-1-1−i−iii0000-22-2212i−2i1-1-1−i−iii00001+i3−1−i31+i3−1−i3−1−i322ζ11−2ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ1100001−i3−1+i31−i3−1+i3−1+i322ζ7−2ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ70000
χ1242-2-22200-2-22000000002-2-22200-2-2200000000−1−i31+i31+i3−1−i3−1−i3001+i31+i3−1−i300000000−1+i31−i31−i3−1+i3−1+i3001−i31−i3−1+i300000000-222-2-20022-200000000-222-2-20022-2000000001+i3−1−i3−1−i31+i31+i300−1−i3−1−i31+i3000000001−i3−1+i3−1+i31−i31−i300−1+i3−1+i31−i300000000
χ1252-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i30000−1−i31+i31+i3−1−i31+i3200−1−i32−1−i321+i32−3+i323−i323−i32−3+i320000−1+i31−i31−i3−1+i31−i3200−1+i32−1+i321−i323+i32−3−i32−3−i323+i320000-222-2100-1-11i3−i3−i3i30000-222-2100-1-11i3−i3−i3i300001+i3−1−i3−1−i31+i3−1−i32001+i321+i32−1−i323−i32−3+i32−3+i323−i3200001−i3−1+i3−1+i31−i3−1+i32001−i321−i32−1+i32−3−i323+i323+i32−3−i320000
χ1262-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i30000−1−i31+i31+i3−1−i31+i3200−1−i32−1−i321+i323−i32−3+i32−3+i323−i320000−1+i31−i31−i3−1+i31−i3200−1+i32−1+i321−i32−3−i323+i323+i32−3−i320000-222-2100-1-11−i3i3i3−i30000-222-2100-1-11−i3i3i3−i300001+i3−1−i3−1−i31+i3−1−i32001+i321+i32−1−i32−3+i323−i323−i32−3+i3200001−i3−1+i3−1+i31−i3−1+i32001−i321−i32−1+i323+i32−3−i32−3−i323+i320000
χ127333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3111111111111111111000000000000000000000000000000000000
χ12833333333333333-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000000000000000000-3-3-3-3-3-3-3-3-3-3-3-3-3-3333311111111111111-1-1-1-1000000000000000000000000000000000000
χ12933333-3-3333-3-3-3-333-3-3-1-1-1-1-111-1-1-11111-1-111000000000000000000000000000000000000-3-3-3-3-333-3-3-33333-3-33311111-1-1111-1-1-1-111-1-1000000000000000000000000000000000000
χ13033333-3-3333-3-3-3-3-3-333-1-1-1-1-111-1-1-1111111-1-1000000000000000000000000000000000000-3-3-3-3-333-3-3-3333333-3-311111-1-1111-1-1-1-1-1-111000000000000000000000000000000000000
χ1313-33-333i−3i3-3-33i3i−3i−3i3-33i−3i-11-11-1−ii-111−i−iii-11−ii000000000000000000000000000000000000-33-33-3−3i3i-333−3i−3i3i3i-33−3i3i1-11-11i−i1-1-1ii−i−i1-1i−i000000000000000000000000000000000000
χ1323-33-333i−3i3-3-33i3i−3i−3i-33−3i3i-11-11-1−ii-111−i−iii1-1i−i000000000000000000000000000000000000-33-33-3−3i3i-333−3i−3i3i3i3-33i−3i1-11-11i−i1-1-1ii−i−i-11−ii000000000000000000000000000000000000
χ1333-33-33−3i3i3-3-3−3i−3i3i3i3-3−3i3i-11-11-1i−i-111ii−i−i-11i−i000000000000000000000000000000000000-33-33-33i−3i-3333i3i−3i−3i-333i−3i1-11-11−ii1-1-1−i−iii1-1−ii000000000000000000000000000000000000
χ1343-33-33−3i3i3-3-3−3i−3i3i3i-333i−3i-11-11-1i−i-111ii−i−i1-1−ii000000000000000000000000000000000000-33-33-33i−3i-3333i3i−3i−3i3-3−3i3i1-11-11−ii1-1-1−i−iii-11i−i000000000000000000000000000000000000
χ1356666-366-3-3-3-3-3-3-30000-2-2-2-21-2-211111110000000000000000000000000000000000000000-6-6-6-63-6-6333333300002222-122-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ1366666-3-6-6-3-3-333330000-2-2-2-2122111-1-1-1-10000000000000000000000000000000000000000-6-6-6-6366333-3-3-3-300002222-1-2-2-1-1-111110000000000000000000000000000000000000000
χ13766-6-6600-66-600000000-2-222-2002-2200000000000000000000000000000000000000000000-6-666-6006-660000000022-2-2200-22-200000000000000000000000000000000000000000000
χ13866-6-6-3003-3333−3333−330000-2-222100-11-1−33−330000000000000000000000000000000000000000-6-666300-33-3−3333−3333000022-2-2-1001-113−33−30000000000000000000000000000000000000000
χ13966-6-6-3003-33−3333−33330000-2-222100-11-13−33−30000000000000000000000000000000000000000-6-666300-33-333−3333−33000022-2-2-1001-11−33−330000000000000000000000000000000000000000
χ1406-66-6-36i−6i-333−3i−3i3i3i0000-22-221−2i2i1-1-1ii−i−i0000000000000000000000000000000000000000-66-663−6i6i3-3-33i3i−3i−3i00002-22-2-12i−2i-111−i−iii0000000000000000000000000000000000000000
χ1416-66-6-3−6i6i-3333i3i−3i−3i0000-22-2212i−2i1-1-1−i−iii0000000000000000000000000000000000000000-66-6636i−6i3-3-3−3i−3i3i3i00002-22-2-1−2i2i-111ii−i−i0000000000000000000000000000000000000000
χ1426-6-66600-6-6600000000-222-2-20022-200000000000000000000000000000000000000000000-666-6-60066-6000000002-2-22200-2-2200000000000000000000000000000000000000000000
χ1436-6-66-30033-3−3i33i33i3−3i30000-222-2100-1-11i3−i3−i3i30000000000000000000000000000000000000000-666-6300-3-333i3−3i3−3i33i300002-2-22-10011-1−i3i3i3−i30000000000000000000000000000000000000000
χ1446-6-66-30033-33i3−3i3−3i33i30000-222-2100-1-11−i3i3i3−i30000000000000000000000000000000000000000-666-6300-3-33−3i33i33i3−3i300002-2-22-10011-1i3−i3−i3i30000000000000000000000000000000000000000

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