Finite Group Databasebeta

← Group #67950

Character table — Group #67950

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122444444444488888888881111224444444444888888888811112244444444448888888888
order12222222224444444444448888366666666612121212121212121212121224242424366666666612121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ311111111111-1-1-1-11-1-11111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-1
χ411111111111-1-1-1-11-1-1-1-1-1-1111111111111111-1-1-1-11-1-1-1-1-1-1111111111111111-1-1-1-11-1-1-1-1-1-11111
χ511111111-1-1-11111-1-1-1ii−i−iii−i−i11111111-1-1-11111-1-1-1ii−i−iii−i−i11111111-1-1-11111-1-1-1ii−i−iii−i−i
χ611111111-1-1-11111-1-1-1−i−iii−i−iii11111111-1-1-11111-1-1-1−i−iii−i−iii11111111-1-1-11111-1-1-1−i−iii−i−iii
χ711111111-1-1-1-1-1-1-1-111ii−i−i−i−iii11111111-1-1-1-1-1-1-1-111ii−i−i−i−iii11111111-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ811111111-1-1-1-1-1-1-1-111−i−iiiii−i−i11111111-1-1-1-1-1-1-1-111−i−iiiii−i−i11111111-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ91-11-11-11-11-1-1ii−i−i1i−ii−ii−i1-11-11-11-11-11-11-1-1ii−i−i1i−ii−ii−i1-11-11-11-11-11-11-1-1ii−i−i1i−ii−ii−i1-11-1
χ101-11-11-11-11-1-1ii−i−i1i−i−ii−ii-11-111-11-11-11-11-1-1ii−i−i1i−i−ii−ii-11-111-11-11-11-11-1-1ii−i−i1i−i−ii−ii-11-11
χ111-11-11-11-11-1-1−i−iii1−iii−ii−i-11-111-11-11-11-11-1-1−i−iii1−iii−ii−i-11-111-11-11-11-11-1-1−i−iii1−iii−ii−i-11-11
χ121-11-11-11-11-1-1−i−iii1−ii−ii−ii1-11-11-11-11-11-11-1-1−i−iii1−ii−ii−ii1-11-11-11-11-11-11-1-1−i−iii1−ii−ii−ii1-11-1
χ131-11-11-11-1-111ii−i−i-1−ii1-1-11−iii−i1-11-11-11-1-111ii−i−i-1−ii1-1-11−iii−i1-11-11-11-1-111ii−i−i-1−ii1-1-11−iii−i
χ141-11-11-11-1-111ii−i−i-1−ii-111-1i−i−ii1-11-11-11-1-111ii−i−i-1−ii-111-1i−i−ii1-11-11-11-1-111ii−i−i-1−ii-111-1i−i−ii
χ151-11-11-11-1-111−i−iii-1i−i1-1-11i−i−ii1-11-11-11-1-111−i−iii-1i−i1-1-11i−i−ii1-11-11-11-1-111−i−iii-1i−i1-1-11i−i−ii
χ161-11-11-11-1-111−i−iii-1i−i-111-1−iii−i1-11-11-11-1-111−i−iii-1i−i-111-1−iii−i1-11-11-11-1-111−i−iii-1i−i-111-1−iii−i
χ17222222-2-222-20000-20000000000222222-2-222-20000-20000000000222222-2-222-20000-20000000000
χ18222222-2-2-2-22000020000000000222222-2-2-2-22000020000000000222222-2-2-2-22000020000000000
χ192-22-22-2-222-220000-200000000002-22-22-2-222-220000-200000000002-22-22-2-222-220000-20000000000
χ202-22-22-2-22-22-20000200000000002-22-22-2-22-22-20000200000000002-22-22-2-22-22-2000020000000000
χ214444-4-4000000000000000000004444-4-4000000000000000000004444-4-400000000000000000000
χ2244-4-400000002i−2i2i−2i0000000000044-4-400000002i−2i2i−2i0000000000044-4-400000002i−2i2i−2i00000000000
χ2344-4-40000000−2i2i−2i2i0000000000044-4-40000000−2i2i−2i2i0000000000044-4-40000000−2i2i−2i2i00000000000
χ244-44-4-44000000000000000000004-44-4-44000000000000000000004-44-4-4400000000000000000000
χ254-4-4400000002-2-22000000000004-4-4400000002-2-22000000000004-4-4400000002-2-2200000000000
χ264-4-440000000-222-2000000000004-4-440000000-222-2000000000004-4-440000000-222-200000000000
χ2711111111111111111111111111−1+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−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
χ28111111111111111111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ2911111111111-1-1-1-11-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ3011111111111-1-1-1-11-1-1-1-1-1-11111−1+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+i321−i321−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−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3111111111-1-1-11111-1-1-1ii−i−iii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ3211111111-1-1-11111-1-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
χ3311111111-1-1-1-1-1-1-1-111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ3411111111-1-1-1-1-1-1-1-111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11
χ351-11-11-11-11-1-1ii−i−i1i−ii−ii−i1-11-1−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32ζ7−ζ7ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32ζ11−ζ11ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32
χ361-11-11-11-11-1-1ii−i−i1i−i−ii−ii-11-11−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32ζ7−ζ7−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32ζ11−ζ11−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32
χ371-11-11-11-11-1-1−i−iii1−iii−ii−i-11-11−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−ζ7ζ7ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−ζ11ζ11ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32
χ381-11-11-11-11-1-1−i−iii1−ii−ii−ii1-11-1−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32
χ391-11-11-11-1-111ii−i−i-1−ii1-1-11−iii−i−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71−i32−ζ7ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111+i32−ζ11ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ401-11-11-11-1-111ii−i−i-1−ii-111-1i−i−ii−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71−i32−ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111+i32−ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11
χ411-11-11-11-1-111−i−iii-1i−i1-1-11i−i−ii−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32ζ7−ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32ζ11−ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ421-11-11-11-1-111−i−iii-1i−i-111-1−iii−i−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11
χ43222222-2-222-20000-20000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i300001−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i300001+i30000000000
χ44222222-2-2-2-22000020000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30000−1+i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30000−1−i30000000000
χ452-22-22-2-222-220000-20000000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i300001−i30000000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i300001+i30000000000
χ462-22-22-2-22-22-2000020000000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000−1+i30000000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000−1−i30000000000
χ474444-4-400000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i300000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i300000000000000000000
χ4844-4-400000002i−2i2i−2i00000000000−2+2i3−2+2i32−2i32−2i300000002ζ7−2ζ72ζ7−2ζ700000000000−2−2i3−2−2i32+2i32+2i300000002ζ11−2ζ112ζ11−2ζ1100000000000
χ4944-4-40000000−2i2i−2i2i00000000000−2+2i3−2+2i32−2i32−2i30000000−2ζ72ζ7−2ζ72ζ700000000000−2−2i3−2−2i32+2i32+2i30000000−2ζ112ζ11−2ζ112ζ1100000000000
χ504-44-4-4400000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i300000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i300000000000000000000
χ514-4-4400000002-2-2200000000000−2+2i32−2i32−2i3−2+2i30000000−1+i31−i31−i3−1+i300000000000−2−2i32+2i32+2i3−2−2i30000000−1−i31+i31+i3−1−i300000000000
χ524-4-440000000-222-200000000000−2+2i32−2i32−2i3−2+2i300000001−i3−1+i3−1+i31−i300000000000−2−2i32+2i32+2i3−2−2i300000001+i3−1−i3−1−i31+i300000000000
χ5311111111111111111111111111−1−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+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
χ54111111111111111111-1-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ5511111111111-1-1-1-11-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+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+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ5611111111111-1-1-1-11-1-1-1-1-1-11111−1−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−i321+i321+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+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ5711111111-1-1-11111-1-1-1ii−i−iii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ5811111111-1-1-11111-1-1-1−i−iii−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ5911111111-1-1-1-1-1-1-1-111ii−i−i−i−iii−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ6011111111-1-1-1-1-1-1-1-111−i−iiiii−i−i−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ611-11-11-11-11-1-1ii−i−i1i−ii−ii−i1-11-1−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32ζ11−ζ11ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32ζ7−ζ7ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32
χ621-11-11-11-11-1-1ii−i−i1i−i−ii−ii-11-11−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i32ζ11−ζ11−ζ11ζ11−ζ11ζ111+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i32ζ7−ζ7−ζ7ζ7−ζ7ζ71−i32−1+i321−i32−1+i32
χ631-11-11-11-11-1-1−i−iii1−iii−ii−i-11-11−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−ζ11ζ11ζ11−ζ11ζ11−ζ111+i32−1−i321+i32−1−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−ζ7ζ7ζ7−ζ7ζ7−ζ71−i32−1+i321−i32−1+i32
χ641-11-11-11-11-1-1−i−iii1−ii−ii−ii1-11-1−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32
χ651-11-11-11-1-111ii−i−i-1−ii1-1-11−iii−i−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111+i32−ζ11ζ11−1−i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71−i32−ζ7ζ7−1+i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ661-11-11-11-1-111ii−i−i-1−ii-111-1i−i−ii−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ111+i32−ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ71−i32−ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
χ671-11-11-11-1-111−i−iii-1i−i1-1-11i−i−ii−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32ζ11−ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32ζ7−ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ681-11-11-11-1-111−i−iii-1i−i-111-1−iii−i−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ111+i32ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ71−i32ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7
χ69222222-2-222-20000-20000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i300001+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i300001−i30000000000
χ70222222-2-2-2-22000020000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30000−1−i30000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30000−1+i30000000000
χ712-22-22-2-222-220000-20000000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i300001+i30000000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i300001−i30000000000
χ722-22-22-2-22-22-2000020000000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i30000−1−i30000000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i30000−1+i30000000000
χ734444-4-400000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i300000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i300000000000000000000
χ7444-4-400000002i−2i2i−2i00000000000−2−2i3−2−2i32+2i32+2i300000002ζ11−2ζ112ζ11−2ζ1100000000000−2+2i3−2+2i32−2i32−2i300000002ζ7−2ζ72ζ7−2ζ700000000000
χ7544-4-40000000−2i2i−2i2i00000000000−2−2i3−2−2i32+2i32+2i30000000−2ζ112ζ11−2ζ112ζ1100000000000−2+2i3−2+2i32−2i32−2i30000000−2ζ72ζ7−2ζ72ζ700000000000
χ764-44-4-4400000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i300000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i300000000000000000000
χ774-4-4400000002-2-2200000000000−2−2i32+2i32+2i3−2−2i30000000−1−i31+i31+i3−1−i300000000000−2+2i32−2i32−2i3−2+2i30000000−1+i31−i31−i3−1+i300000000000
χ784-4-440000000-222-200000000000−2−2i32+2i32+2i3−2−2i300000001+i3−1−i3−1−i31+i300000000000−2+2i32−2i32−2i3−2+2i300000001−i3−1+i3−1+i31−i300000000000

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