Finite Group Databasebeta

← Group #85571

Character table — Group #85571

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11112222223333666666444488888844448888881111222222333366666644448888884444888888
order12224444442222444444366612121212121236661212121212122222444444222244444466661212121212126666121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ31111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-1
χ41111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111
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−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−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−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−i
χ922-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-200000022-2-2000000
χ102-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-220000002-2-22000000
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−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+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+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−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−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−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−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−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+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−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+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−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−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+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−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−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−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−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−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+i3000000
χ313333333333-1-1-1-1-1-1-1-1-1-1000000000000000000003333333333-1-1-1-1-1-1-1-1-1-100000000000000000000
χ32333333-3-3-3-3-1-1-1-1-1-1111100000000000000000000333333-3-3-3-3-1-1-1-1-1-1111100000000000000000000
χ333333-3-333-3-3-1-1-1-111-1-111000000000000000000003333-3-333-3-3-1-1-1-111-1-11100000000000000000000
χ343333-3-3-3-333-1-1-1-11111-1-1000000000000000000003333-3-3-3-333-1-1-1-11111-1-100000000000000000000
χ353-33-33-33i−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−i00000000000000000000
χ373-33-3-333i−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−ii00000000000000000000
χ3966-6-6000000-2-2220000000000000000000000000066-6-6000000-2-22200000000000000000000000000
χ406-6-66000000-222-2000000000000000000000000006-6-66000000-222-200000000000000000000000000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ42111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ431111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111
χ441111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ451-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−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−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−ii-11-111-1−iii−i-11-111-1−iii−i-11-111-1−iii−i-11-111-1−iii−i
χ481-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i1-11-1-11−iii−i-11-111-1i−i−ii-11-111-1i−i−ii-11-111-1i−i−ii-11-111-1i−i−ii
χ4922-2-200000022-2-200000022-2-200000022-2-2000000-2-222000000-2-222000000-2-222000000-2-222000000
χ502-2-220000002-2-220000002-2-220000002-2-22000000-222-2000000-222-2000000-222-2000000-222-2000000
χ5111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
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+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+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
χ541111-1-1-1-1111111-1-1-1-111−1+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−i32-1-1-1-11111-1-1-1-1-1-11111-1-11−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+i32
χ551-11-11-1i−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−ζ11-11-11-11−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−ζ11ζ11
χ561-11-11-1−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−ζ11ζ11-11-11-11i−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−ζ11
χ571-11-1-11i−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−ζ11ζ11-11-111-1−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−ζ11
χ581-11-1-11−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−ζ11-11-111-1i−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−ζ11ζ11
χ5922-2-200000022-2-2000000−1+i3−1+i31−i31−i3000000−1−i3−1−i31+i31+i3000000-2-222000000-2-2220000001−i31−i3−1+i3−1+i30000001+i31+i3−1−i3−1−i3000000
χ602-2-220000002-2-22000000−1+i31−i31−i3−1+i3000000−1−i31+i31+i3−1−i3000000-222-2000000-222-20000001−i3−1+i3−1+i31−i30000001+i3−1−i3−1−i31+i3000000
χ6111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ62111111-1-1-1-1111111-1-1-1-1−1−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
χ631111-1-111-1-11111-1-111-1-1−1−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
χ641111-1-1-1-1111111-1-1-1-111−1−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+i32-1-1-1-11111-1-1-1-1-1-11111-1-11+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−i32
χ651-11-11-1i−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−ζ7-11-11-11−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−ζ7ζ7
χ661-11-11-1−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−ζ7ζ7-11-11-11i−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−ζ7
χ671-11-1-11i−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−ζ7ζ7-11-111-1−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−ζ7
χ681-11-1-11−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−ζ7-11-111-1i−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−ζ7ζ7
χ6922-2-200000022-2-2000000−1−i3−1−i31+i31+i3000000−1+i3−1+i31−i31−i3000000-2-222000000-2-2220000001+i31+i3−1−i3−1−i30000001−i31−i3−1+i3−1+i3000000
χ702-2-220000002-2-22000000−1−i31+i31+i3−1−i3000000−1+i31−i31−i3−1+i3000000-222-2000000-222-20000001+i3−1−i3−1−i31+i30000001−i3−1+i3−1+i31−i3000000
χ713333333333-1-1-1-1-1-1-1-1-1-100000000000000000000-3-3-3-3-3-3-3-3-3-3111111111100000000000000000000
χ72333333-3-3-3-3-1-1-1-1-1-1111100000000000000000000-3-3-3-3-3-33333111111-1-1-1-100000000000000000000
χ733333-3-333-3-3-1-1-1-111-1-11100000000000000000000-3-3-3-333-3-3331111-1-111-1-100000000000000000000
χ743333-3-3-3-333-1-1-1-11111-1-100000000000000000000-3-3-3-33333-3-31111-1-1-1-11100000000000000000000
χ753-33-33-33i−3i3i−3i-11-11-11−ii−ii00000000000000000000-33-33-33−3i3i−3i3i1-11-11-1i−ii−i00000000000000000000
χ763-33-33-3−3i3i−3i3i-11-11-11i−ii−i00000000000000000000-33-33-333i−3i3i−3i1-11-11-1−ii−ii00000000000000000000
χ773-33-3-333i−3i−3i3i-11-111-1−iii−i00000000000000000000-33-333-3−3i3i3i−3i1-11-1-11i−i−ii00000000000000000000
χ783-33-3-33−3i3i3i−3i-11-111-1i−i−ii00000000000000000000-33-333-33i−3i−3i3i1-11-1-11−iii−i00000000000000000000
χ7966-6-6000000-2-22200000000000000000000000000-6-66600000022-2-200000000000000000000000000
χ806-6-66000000-222-200000000000000000000000000-666-60000002-2-2200000000000000000000000000

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