Finite Group Databasebeta

← Group #11923165

Character table — Group #11923165

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222223333666666444488888844448888882222444444666612121212121288881616161616168888161616161616333366666699991818181818181212121224242424242412121212242424242424
order122244444422224444443666121212121212366612121212121236661212121212126666121212121212366612121212121236661212121212122222444444222244444466661212121212126666121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ31111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-1
χ41111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ51-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i
χ61-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii
χ71-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii
χ81-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i
χ922-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-2000000
χ102-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-22000000
χ1111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ12111111-1-1-1-1111111-1-1-1-1−1+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−i321+i321+i321+i321+i32111111-1-1-1-1111111-1-1-1-1−1+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−i321+i321+i321+i321+i32111111-1-1-1-1111111-1-1-1-1−1+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−i321+i321+i321+i321+i32
χ131111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ141111-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321111-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ151-11-11-1i−ii−i1-11-11-1i−ii−i−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111-11-11-1i−ii−i1-11-11-1i−ii−i−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111-11-11-1i−ii−i1-11-11-1i−ii−i−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ161-11-11-1−ii−ii1-11-11-1−ii−ii−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111-11-11-1−ii−ii1-11-11-1−ii−ii−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111-11-11-1−ii−ii1-11-11-1−ii−ii−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ171-11-1-11i−i−ii1-11-1-11i−i−ii−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111-11-1-11i−i−ii1-11-1-11i−i−ii−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111-11-1-11i−i−ii1-11-1-11i−i−ii−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ181-11-1-11−iii−i1-11-1-11−iii−i−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111-11-1-11−iii−i1-11-1-11−iii−i−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111-11-1-11−iii−i1-11-1-11−iii−i−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ1922-2-200000022-2-2000000−1+i3−1+i31−i31−i3000000−1−i3−1−i31+i31+i300000022-2-200000022-2-2000000−1+i3−1+i31−i31−i3000000−1−i3−1−i31+i31+i300000022-2-200000022-2-2000000−1+i3−1+i31−i31−i3000000−1−i3−1−i31+i31+i3000000
χ202-2-220000002-2-22000000−1+i31−i31−i3−1+i3000000−1−i31+i31+i3−1−i30000002-2-220000002-2-22000000−1+i31−i31−i3−1+i3000000−1−i31+i31+i3−1−i30000002-2-220000002-2-22000000−1+i31−i31−i3−1+i3000000−1−i31+i31+i3−1−i3000000
χ2111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ22111111-1-1-1-1111111-1-1-1-1−1−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+i321−i321−i321−i321−i32111111-1-1-1-1111111-1-1-1-1−1−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+i321−i321−i321−i321−i32111111-1-1-1-1111111-1-1-1-1−1−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+i321−i321−i321−i321−i32
χ231111-1-111-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321111-1-111-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321111-1-111-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ241111-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321111-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321111-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ251-11-11-1i−ii−i1-11-11-1i−ii−i−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71-11-11-1i−ii−i1-11-11-1i−ii−i−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71-11-11-1i−ii−i1-11-11-1i−ii−i−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ261-11-11-1−ii−ii1-11-11-1−ii−ii−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71-11-11-1−ii−ii1-11-11-1−ii−ii−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71-11-11-1−ii−ii1-11-11-1−ii−ii−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ271-11-1-11i−i−ii1-11-1-11i−i−ii−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71-11-1-11i−i−ii1-11-1-11i−i−ii−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71-11-1-11i−i−ii1-11-1-11i−i−ii−1−i321+i32−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i321−i32−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ281-11-1-11−iii−i1-11-1-11−iii−i−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71-11-1-11−iii−i1-11-1-11−iii−i−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71-11-1-11−iii−i1-11-1-11−iii−i−1−i321+i32−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i321−i32−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ2922-2-200000022-2-2000000−1−i3−1−i31+i31+i3000000−1+i3−1+i31−i31−i300000022-2-200000022-2-2000000−1−i3−1−i31+i31+i3000000−1+i3−1+i31−i31−i300000022-2-200000022-2-2000000−1−i3−1−i31+i31+i3000000−1+i3−1+i31−i31−i3000000
χ302-2-220000002-2-22000000−1−i31+i31+i3−1−i3000000−1+i31−i31−i3−1+i30000002-2-220000002-2-22000000−1−i31+i31+i3−1−i3000000−1+i31−i31−i3−1+i30000002-2-220000002-2-22000000−1−i31+i31+i3−1−i3000000−1+i31−i31−i3−1+i3000000
χ313333333333-1-1-1-1-1-1-1-1-1-1000000000000000000003333333333-1-1-1-1-1-1-1-1-1-1000000000000000000003333333333-1-1-1-1-1-1-1-1-1-100000000000000000000
χ32333333-3-3-3-3-1-1-1-1-1-1111100000000000000000000333333-3-3-3-3-1-1-1-1-1-1111100000000000000000000333333-3-3-3-3-1-1-1-1-1-1111100000000000000000000
χ333333-3-333-3-3-1-1-1-111-1-111000000000000000000003333-3-333-3-3-1-1-1-111-1-111000000000000000000003333-3-333-3-3-1-1-1-111-1-11100000000000000000000
χ343333-3-3-3-333-1-1-1-11111-1-1000000000000000000003333-3-3-3-333-1-1-1-11111-1-1000000000000000000003333-3-3-3-333-1-1-1-11111-1-100000000000000000000
χ353-33-33-33i−3i3i−3i-11-11-11−ii−ii000000000000000000003-33-33-33i−3i3i−3i-11-11-11−ii−ii000000000000000000003-33-33-33i−3i3i−3i-11-11-11−ii−ii00000000000000000000
χ363-33-33-3−3i3i−3i3i-11-11-11i−ii−i000000000000000000003-33-33-3−3i3i−3i3i-11-11-11i−ii−i000000000000000000003-33-33-3−3i3i−3i3i-11-11-11i−ii−i00000000000000000000
χ373-33-3-333i−3i−3i3i-11-111-1−iii−i000000000000000000003-33-3-333i−3i−3i3i-11-111-1−iii−i000000000000000000003-33-3-333i−3i−3i3i-11-111-1−iii−i00000000000000000000
χ383-33-3-33−3i3i3i−3i-11-111-1i−i−ii000000000000000000003-33-3-33−3i3i3i−3i-11-111-1i−i−ii000000000000000000003-33-3-33−3i3i3i−3i-11-111-1i−i−ii00000000000000000000
χ3966-6-6000000-2-2220000000000000000000000000066-6-6000000-2-2220000000000000000000000000066-6-6000000-2-22200000000000000000000000000
χ406-6-66000000-222-2000000000000000000000000006-6-66000000-222-2000000000000000000000000006-6-66000000-222-200000000000000000000000000
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ42111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ431111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111
χ441111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ451-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i-11-11-11−ii−ii-11-11-11−ii−ii-11-11-11−ii−ii-11-11-11−ii−ii
χ461-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii-11-11-11i−ii−i-11-11-11i−ii−i-11-11-11i−ii−i-11-11-11i−ii−i
χ471-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii1-11-1-11i−i−ii-11-111-1−iii−i-11-111-1−iii−i-11-111-1−iii−i-11-111-1−iii−i
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χ52111111-1-1-1-1111111-1-1-1-1−1+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−i321+i321+i321+i321+i32111111-1-1-1-1111111-1-1-1-1−1+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−i321+i321+i321+i321+i32-1-1-1-1-1-11111-1-1-1-1-1-111111−i321−i321−i321−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
χ531111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32-1-1-1-111-1-111-1-1-1-111-1-1111−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
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χ952-22-22-22i−2i2i−2i2-22-22-22i−2i2i−2i−1+i31−i3−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7−1−i31+i3−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11-11-11-11−ii−ii-11-11-11−ii−ii1−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ110000000000000000000000000000000000000000
χ962-22-22-2−2i2i−2i2i2-22-22-2−2i2i−2i2i−1+i31−i3−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7−1−i31+i3−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11-11-11-11i−ii−i-11-11-11i−ii−i1−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ110000000000000000000000000000000000000000
χ972-22-2-222i−2i−2i2i2-22-2-222i−2i−2i2i−1+i31−i3−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ7−1−i31+i3−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ11-11-111-1−iii−i-11-111-1−iii−i1−i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ71+i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ110000000000000000000000000000000000000000
χ982-22-2-22−2i2i2i−2i2-22-2-22−2i2i2i−2i−1+i31−i3−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ7−1−i31+i3−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ11-11-111-1i−i−ii-11-111-1i−i−ii1−i32−1+i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ71+i32−1−i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ110000000000000000000000000000000000000000
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χ1004-4-440000004-4-44000000−2+2i32−2i32−2i3−2+2i3000000−2−2i32+2i32+2i3−2−2i3000000-222-2000000-222-20000001−i3−1+i3−1+i31−i30000001+i3−1−i3−1−i31+i30000000000000000000000000000000000000000000000
χ10122222222222222222222−1−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+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000000000000000000000000000000000
χ102222222-2-2-2-2222222-2-2-2-2−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3-1-1-1-1-1-11111-1-1-1-1-1-111111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000000000000000000000
χ1032222-2-222-2-22222-2-222-2-2−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3-1-1-1-111-1-111-1-1-1-111-1-1111+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000000000000000000000000000
χ1042222-2-2-2-2222222-2-2-2-222−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3-1-1-1-11111-1-1-1-1-1-11111-1-11+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000000000000000000000000000000000
χ1052-22-22-22i−2i2i−2i2-22-22-22i−2i2i−2i−1−i31+i3−1−i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ11−1+i31−i3−1+i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ7-11-11-11−ii−ii-11-11-11−ii−ii1+i32−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111−i32−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ70000000000000000000000000000000000000000
χ1062-22-22-2−2i2i−2i2i2-22-22-2−2i2i−2i2i−1−i31+i3−1−i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ11−1+i31−i3−1+i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ7-11-11-11i−ii−i-11-11-11i−ii−i1+i32−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111−i32−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ70000000000000000000000000000000000000000
χ1072-22-2-222i−2i−2i2i2-22-2-222i−2i−2i2i−1−i31+i3−1−i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ11−1+i31−i3−1+i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ7-11-111-1−iii−i-11-111-1−iii−i1+i32−1−i321+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ111−i32−1+i321−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ70000000000000000000000000000000000000000
χ1082-22-2-22−2i2i2i−2i2-22-2-22−2i2i2i−2i−1−i31+i3−1−i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ11−1+i31−i3−1+i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ7-11-111-1i−i−ii-11-111-1i−i−ii1+i32−1−i321+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ111−i32−1+i321−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ70000000000000000000000000000000000000000
χ10944-4-400000044-4-4000000−2−2i3−2−2i32+2i32+2i3000000−2+2i3−2+2i32−2i32−2i3000000-2-222000000-2-2220000001+i31+i3−1−i3−1−i30000001−i31−i3−1+i3−1+i30000000000000000000000000000000000000000000000
χ1104-4-440000004-4-44000000−2−2i32+2i32+2i3−2−2i3000000−2+2i32−2i32−2i3−2+2i3000000-222-2000000-222-20000001+i3−1−i3−1−i31+i30000001−i3−1+i3−1+i31−i30000000000000000000000000000000000000000000000
χ1116666666666-2-2-2-2-2-2-2-2-2-200000000000000000000-3-3-3-3-3-3-3-3-3-31111111111000000000000000000000000000000000000000000000000000000000000
χ112666666-6-6-6-6-2-2-2-2-2-2222200000000000000000000-3-3-3-3-3-33333111111-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1136666-6-666-6-6-2-2-2-222-2-22200000000000000000000-3-3-3-333-3-3331111-1-111-1-1000000000000000000000000000000000000000000000000000000000000
χ1146666-6-6-6-666-2-2-2-22222-2-200000000000000000000-3-3-3-33333-3-31111-1-1-1-111000000000000000000000000000000000000000000000000000000000000
χ1156-66-66-66i−6i6i−6i-22-22-22−2i2i−2i2i00000000000000000000-33-33-33−3i3i−3i3i1-11-11-1i−ii−i000000000000000000000000000000000000000000000000000000000000
χ1166-66-66-6−6i6i−6i6i-22-22-222i−2i2i−2i00000000000000000000-33-33-333i−3i3i−3i1-11-11-1−ii−ii000000000000000000000000000000000000000000000000000000000000
χ1176-66-6-666i−6i−6i6i-22-222-2−2i2i2i−2i00000000000000000000-33-333-3−3i3i3i−3i1-11-1-11i−i−ii000000000000000000000000000000000000000000000000000000000000
χ1186-66-6-66−6i6i6i−6i-22-222-22i−2i−2i2i00000000000000000000-33-333-33i−3i−3i3i1-11-1-11−iii−i000000000000000000000000000000000000000000000000000000000000
χ1191212-12-12000000-4-44400000000000000000000000000-6-66600000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ12012-12-1212000000-444-400000000000000000000000000-666-60000002-2-22000000000000000000000000000000000000000000000000000000000000000000

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