Finite Group Databasebeta

← Group #13135643

Character table — Group #13135643

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11222223333444444444446666666666666688888121212121212121212121212121212121212121212121212121212122424242424242424242424242424727272727272727272727272
order12236663366444441212121212126699918181818181818181841212121212121212121212121212363636363636363636363636363636363636121236363636363636363636363688882424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111-1-111111111111111111111-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i
χ411111111111111-1-111111111111111111111-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii
χ5111111111111-1-111-1-1-1-11111111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-11-11-111-1-111-1-1
χ6111111111111-1-111-1-1-1-11111111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-11-11-1-111-1-111
χ7111111111111-1-1-1-1-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111i−i−iiii−i−i−i−iii
χ8111111111111-1-1-1-1-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111−iii−i−i−iiiii−i−i
χ91111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ101111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ111111111−1−i32−1+i32−1−i32−1+i32111-1-1111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32ii−i−iζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ121111111−1−i32−1+i32−1−i32−1+i32111-1-1111111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−i−iii−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ131111111−1−i32−1+i32−1−i32−1+i321-1-111-1-1-1-111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ141111111−1−i32−1+i32−1−i32−1+i321-1-111-1-1-1-111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ151111111−1−i32−1+i32−1−i32−1+i321-1-1-1-1-1-1-1-111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321-1-111−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32i−i−iiζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ161111111−1−i32−1+i32−1−i32−1+i321-1-1-1-1-1-1-1-111−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321-1-111−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−iii−i−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ171111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ181111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ191111111−1+i32−1−i32−1+i32−1−i32111-1-1111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32ii−i−iζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ201111111−1+i32−1−i32−1+i32−1−i32111-1-1111111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−i−iii−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ211111111−1+i32−1−i32−1+i32−1−i321-1-111-1-1-1-111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ221111111−1+i32−1−i32−1+i32−1−i321-1-111-1-1-1-111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ231111111−1+i32−1−i32−1+i32−1−i321-1-1-1-1-1-1-1-111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321-1-111−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32i−i−iiζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ241111111−1+i32−1−i32−1+i32−1−i321-1-1-1-1-1-1-1-111−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321-1-111−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−iii−i−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ25222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2622222222222222-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111111111000000000000
χ27222222222222-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-222-2-222-2-2-2-22222111111111111-1-1-1-1-1-1-2-2-1-1-1-1-1-1111111000000000000
χ28222222222222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12-2-22222-2-2-2-2-2-2-2-2111111111111-1-1-1-1-1-122111111-1-1-1-1-1-1000000000000
χ2922222222222-2002-20000-2-22222222222222202-200-2-200002-22-2000000000000-2-2-2-2-2-2002-22-22-2000000000000000000
χ3022222222222-2002-20000-2-222-1-1-1-1-1-1-1-1-1-1-1-102-200-2-200002-22-2−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311111100-11-11-11−i3i3−i3i3−i3i3000000000000
χ3122222222222-2002-20000-2-222-1-1-1-1-1-1-1-1-1-1-1-102-200-2-200002-22-2i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311111100-11-11-11i3−i3i3−i3i3−i3000000000000
χ3222222222222-200-220000-2-2222222222222220-2200-2-20000-22-22000000000000-2-2-2-2-2-200-22-22-22000000000000000000
χ3322222222222-200-220000-2-222-1-1-1-1-1-1-1-1-1-1-1-10-2200-2-20000-22-22−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3111111001-11-11-1i3−i3i3−i3i3−i3000000000000
χ3422222222222-200-220000-2-222-1-1-1-1-1-1-1-1-1-1-1-10-2200-2-20000-22-22i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3111111001-11-11-1−i3i3−i3i3−i3i3000000000000
χ352222222−1−i3−1+i3−1−i3−1+i322222222222−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i3222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000
χ362222222−1−i3−1+i3−1−i3−1+i3222-2-2222222−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-2-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000
χ372222222−1−i3−1+i3−1−i3−1+i32-2-222-2-2-2-222−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32-222-2-2−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i31−i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000
χ382222222−1−i3−1+i3−1−i3−1+i32-2-2-2-2-2-2-2-222−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i322-2-222−1−i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32−1−i3−1+i311−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32000000000000
χ392222222−1−i3−1+i3−1−i3−1+i3-2002-20000-2-2−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i302-2001+i31−i30000−1−i31+i3−1+i31−i3000000000000-2-21+i31+i31−i31−i3002-2−1−i31+i3−1+i31−i3000000000000000000
χ402222222−1−i3−1+i3−1−i3−1+i3-2002-20000-2-2−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i3202-2001+i31−i30000−1−i31+i3−1+i31−i3−i3−i3i3i3−3+i32−3+i323−i323−i323+i323+i32−3−i32−3−i3211−1−i32−1−i32−1+i32−1+i3200-111+i32−1−i321−i32−1+i32−i3i3−3+i323−i323+i32−3−i32000000000000
χ412222222−1−i3−1+i3−1−i3−1+i3-2002-20000-2-2−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i3202-2001+i31−i30000−1−i31+i3−1+i31−i3i3i3−i3−i33−i323−i32−3+i32−3+i32−3−i32−3−i323+i323+i3211−1−i32−1−i32−1+i32−1+i3200-111+i32−1−i321−i32−1+i32i3−i33−i32−3+i32−3−i323+i32000000000000
χ422222222−1−i3−1+i3−1−i3−1+i3-200-220000-2-2−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i30-22001+i31−i300001+i3−1−i31−i3−1+i3000000000000-2-21+i31+i31−i31−i300-221+i3−1−i31−i3−1+i3000000000000000000
χ432222222−1−i3−1+i3−1−i3−1+i3-200-220000-2-2−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i320-22001+i31−i300001+i3−1−i31−i3−1+i3−i3−i3i3i3−3+i32−3+i323−i323−i323+i323+i32−3−i32−3−i3211−1−i32−1−i32−1+i32−1+i32001-1−1−i321+i32−1+i321−i32i3−i33−i32−3+i32−3−i323+i32000000000000
χ442222222−1−i3−1+i3−1−i3−1+i3-200-220000-2-2−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i320-22001+i31−i300001+i3−1−i31−i3−1+i3i3i3−i3−i33−i323−i32−3+i32−3+i32−3−i32−3−i323+i323+i3211−1−i32−1−i32−1+i32−1+i32001-1−1−i321+i32−1+i321−i32−i3i3−3+i323−i323+i32−3−i32000000000000
χ452222222−1+i3−1−i3−1+i3−1−i322222222222−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i3222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000
χ462222222−1+i3−1−i3−1+i3−1−i3222-2-2222222−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-2-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000
χ472222222−1+i3−1−i3−1+i3−1−i32-2-222-2-2-2-222−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32-222-2-2−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i31+i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000
χ482222222−1+i3−1−i3−1+i3−1−i32-2-2-2-2-2-2-2-222−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i322-2-222−1+i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32000000000000
χ492222222−1+i3−1−i3−1+i3−1−i3-2002-20000-2-2−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i302-2001−i31+i30000−1+i31−i3−1−i31+i3000000000000-2-21−i31−i31+i31+i3002-2−1+i31−i3−1−i31+i3000000000000000000
χ502222222−1+i3−1−i3−1+i3−1−i3-2002-20000-2-2−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i3202-2001−i31+i30000−1+i31−i3−1−i31+i3−i3−i3i3i33+i323+i32−3−i32−3−i32−3+i32−3+i323−i323−i3211−1+i32−1+i32−1−i32−1−i3200-111−i32−1+i321+i32−1−i32−i3i33+i32−3−i32−3+i323−i32000000000000
χ512222222−1+i3−1−i3−1+i3−1−i3-2002-20000-2-2−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i3202-2001−i31+i30000−1+i31−i3−1−i31+i3i3i3−i3−i3−3−i32−3−i323+i323+i323−i323−i32−3+i32−3+i3211−1+i32−1+i32−1−i32−1−i3200-111−i32−1+i321+i32−1−i32i3−i3−3−i323+i323−i32−3+i32000000000000
χ522222222−1+i3−1−i3−1+i3−1−i3-200-220000-2-2−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i30-22001−i31+i300001−i3−1+i31+i3−1−i3000000000000-2-21−i31−i31+i31+i300-221−i3−1+i31+i3−1−i3000000000000000000
χ532222222−1+i3−1−i3−1+i3−1−i3-200-220000-2-2−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i320-22001−i31+i300001−i3−1+i31+i3−1−i3−i3−i3i3i33+i323+i32−3−i32−3−i32−3+i32−3+i323−i323−i3211−1+i32−1+i32−1−i32−1−i32001-1−1+i321−i32−1−i321+i32i3−i3−3−i323+i323−i32−3+i32000000000000
χ542222222−1+i3−1−i3−1+i3−1−i3-200-220000-2-2−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i320-22001−i31+i300001−i3−1+i31+i3−1−i3i3i3−i3−i3−3−i32−3−i323+i323+i323−i323−i32−3+i32−3+i3211−1+i32−1+i32−1−i32−1−i32001-1−1+i321−i32−1−i321+i32−i3i33+i32−3−i32−3+i323−i32000000000000
χ5544-44-4-44444400000000000-4-4444-4-4-4-4-4-444400000000000000000000000000000000000000000000000000000000000
χ5644-44-4-44444400000000000-4-4-2-2-2222222-2-2-2000000000000000000000000000−2i32i3−2i32i3−2i32i300000000000000000000000000
χ5744-44-4-44444400000000000-4-4-2-2-2222222-2-2-20000000000000000000000000002i3−2i32i3−2i32i3−2i300000000000000000000000000
χ5844-44-4-44−2−2i3−2+2i3−2−2i3−2+2i3000000000002+2i32−2i34−2−2i3−2+2i3-4-42+2i32+2i32−2i32−2i34−2−2i3−2+2i300000000000000000000000000000000000000000000000000000000000
χ5944-44-4-44−2−2i3−2+2i3−2−2i3−2+2i3000000000002+2i32−2i3-21+i31−i322−1−i3−1−i3−1+i3−1+i3-21+i31−i3000000000000000000000000000−2i32i3−3+i33−i33+i3−3−i300000000000000000000000000
χ6044-44-4-44−2−2i3−2+2i3−2−2i3−2+2i3000000000002+2i32−2i3-21+i31−i322−1−i3−1−i3−1+i3−1+i3-21+i31−i30000000000000000000000000002i3−2i33−i3−3+i3−3−i33+i300000000000000000000000000
χ6144-44-4-44−2+2i3−2−2i3−2+2i3−2−2i3000000000002−2i32+2i34−2+2i3−2−2i3-4-42−2i32−2i32+2i32+2i34−2+2i3−2−2i300000000000000000000000000000000000000000000000000000000000
χ6244-44-4-44−2+2i3−2−2i3−2+2i3−2−2i3000000000002−2i32+2i3-21−i31+i322−1+i3−1+i3−1−i3−1−i3-21−i31+i3000000000000000000000000000−2i32i33+i3−3−i3−3+i33−i300000000000000000000000000
χ6344-44-4-44−2+2i3−2−2i3−2+2i3−2−2i3000000000002−2i32+2i3-21−i31+i322−1+i3−1+i3−1−i3−1−i3-21−i31+i30000000000000000000000000002i3−2i3−3−i33+i33−i3−3+i300000000000000000000000000
χ644-40400-444-4-402-20022-2-20000444000000-4-4-400000002-22-200002-22-22-22-22-22-200000000000000000000000000000000
χ654-40400-444-4-402-20022-2-20000-2-2-2−2i32i3−2i32i3−2i32i322200000002-22-20000−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300000000000000000000000000000000
χ664-40400-444-4-402-20022-2-20000-2-2-22i3−2i32i3−2i32i3−2i322200000002-22-20000−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300000000000000000000000000000000
χ674-40400-444-4-40-2200-2-2220000444000000-4-4-40000000-22-220000-22-22-22-22-22-2200000000000000000000000000000000
χ684-40400-444-4-40-2200-2-2220000-2-2-2−2i32i3−2i32i3−2i32i32220000000-22-2200001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i300000000000000000000000000000000
χ694-40400-444-4-40-2200-2-2220000-2-2-22i3−2i32i3−2i32i3−2i32220000000-22-2200001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i300000000000000000000000000000000
χ704-40400-4−2−2i3−2+2i32+2i32−2i302-20022-2-200004−2−2i3−2+2i3000000-42+2i32−2i30000000−1−i31+i3−1+i31−i300002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i300000000000000000000000000000000
χ714-40400-4−2−2i3−2+2i32+2i32−2i302-20022-2-20000-21+i31−i3−2i32i3−3+i33−i33+i3−3−i32−1−i3−1+i30000000−1−i31+i3−1+i31−i30000−1−i31+i3−1+i31−i3−1+i31−i32-22-2−1−i31+i300000000000000000000000000000000
χ724-40400-4−2−2i3−2+2i32+2i32−2i302-20022-2-20000-21+i31−i32i3−2i33−i3−3+i3−3−i33+i32−1−i3−1+i30000000−1−i31+i3−1+i31−i30000−1+i31−i3−1−i31+i32-2−1+i31−i3−1−i31+i32-200000000000000000000000000000000
χ734-40400-4−2−2i3−2+2i32+2i32−2i30-2200-2-22200004−2−2i3−2+2i3000000-42+2i32−2i300000001+i3−1−i31−i3−1+i30000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i300000000000000000000000000000000
χ744-40400-4−2−2i3−2+2i32+2i32−2i30-2200-2-2220000-21+i31−i3−2i32i3−3+i33−i33+i3−3−i32−1−i3−1+i300000001+i3−1−i31−i3−1+i300001+i3−1−i31−i3−1+i31−i3−1+i3-22-221+i3−1−i300000000000000000000000000000000
χ754-40400-4−2−2i3−2+2i32+2i32−2i30-2200-2-2220000-21+i31−i32i3−2i33−i3−3+i3−3−i33+i32−1−i3−1+i300000001+i3−1−i31−i3−1+i300001−i3−1+i31+i3−1−i3-221−i3−1+i31+i3−1−i3-2200000000000000000000000000000000
χ764-40400-4−2+2i3−2−2i32−2i32+2i302-20022-2-200004−2+2i3−2−2i3000000-42−2i32+2i30000000−1+i31−i3−1−i31+i300002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i300000000000000000000000000000000
χ774-40400-4−2+2i3−2−2i32−2i32+2i302-20022-2-20000-21−i31+i3−2i32i33+i3−3−i3−3+i33−i32−1+i3−1−i30000000−1+i31−i3−1−i31+i30000−1−i31+i3−1+i31−i32-2−1−i31+i3−1+i31−i32-200000000000000000000000000000000
χ784-40400-4−2+2i3−2−2i32−2i32+2i302-20022-2-20000-21−i31+i32i3−2i3−3−i33+i33−i3−3+i32−1+i3−1−i30000000−1+i31−i3−1−i31+i30000−1+i31−i3−1−i31+i3−1−i31+i32-22-2−1+i31−i300000000000000000000000000000000
χ794-40400-4−2+2i3−2−2i32−2i32+2i30-2200-2-22200004−2+2i3−2−2i3000000-42−2i32+2i300000001−i3−1+i31+i3−1−i30000-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i300000000000000000000000000000000
χ804-40400-4−2+2i3−2−2i32−2i32+2i30-2200-2-2220000-21−i31+i3−2i32i33+i3−3−i3−3+i33−i32−1+i3−1−i300000001−i3−1+i31+i3−1−i300001+i3−1−i31−i3−1+i3-221+i3−1−i31−i3−1+i3-2200000000000000000000000000000000
χ814-40400-4−2+2i3−2−2i32−2i32+2i30-2200-2-2220000-21−i31+i32i3−2i3−3−i33+i33−i3−3+i32−1+i3−1−i300000001−i3−1+i31+i3−1−i300001−i3−1+i31+i3−1−i31+i3−1−i3-22-221−i3−1+i300000000000000000000000000000000
χ82666-3-3-3-3000066666-3-3-3-3-3-3000000000000006-3-3-3-3000000000000000000000000000000000000000000000000000000
χ83666-3-3-3-30000666-6-6-3-3-3-3-3-300000000000000-63333000000000000000000000000000000000000000000000000000000
χ84666-3-3-3-300006-6-6663333-3-300000000000000-6-3-333000000000000000000000000000000000000000000000000000000
χ85666-3-3-3-300006-6-6-6-63333-3-300000000000000633-3-3000000000000000000000000000000000000000000000000000000
χ86666-3-3-3-30000-6006-6−3i33i3−3i33i333000000000000000-33−3i33i3000000000000000000000000000000000000000000000000000000
χ87666-3-3-3-30000-6006-63i3−3i33i3−3i333000000000000000-333i3−3i3000000000000000000000000000000000000000000000000000000
χ88666-3-3-3-30000-600-66−3i33i3−3i33i3330000000000000003-33i3−3i3000000000000000000000000000000000000000000000000000000
χ89666-3-3-3-30000-600-663i3−3i33i3−3i3330000000000000003-3−3i33i3000000000000000000000000000000000000000000000000000000
χ901212-12-666-60000000000000−6i36i30000000000000000000000000000000000000000000000000000000000000000000000000
χ911212-12-666-600000000000006i3−6i30000000000000000000000000000000000000000000000000000000000000000000000000
χ9212-120-6−6i36i36000006-600−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9312-120-6−6i36i3600000-66003+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9412-120-66i3−6i36000006-600−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-120-66i3−6i3600000-66003−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000

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