Finite Group Databasebeta

← Group #11920908

Character table — Group #11920908

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size112224466668888121216161616161624242424242424241122244666688881212161616161616242424242424242411222446666888812121616161616162424242424242424
order12244882244361212886122424242444448888366121224246612123612122424612242424241212121224242424366121224246612123612122424612242424241212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1
χ311111-1-111111111-1-111-1-1-1-111-1-1-1-11111111-1-111111111-1-111-1-1-1-111-1-1-1-11111111-1-111111111-1-111-1-1-1-111-1-1-1-111
χ411111-1-111111111-1-111-1-1-1-1-1-11111-1-111111-1-111111111-1-111-1-1-1-1-1-11111-1-111111-1-111111111-1-111-1-1-1-1-1-11111-1-1
χ5111-1-1i−i-1-11111-1-1i−i1-1ii−i−i1-1i−ii−i1-1111-1-1i−i-1-11111-1-1i−i1-1ii−i−i1-1i−ii−i1-1111-1-1i−i-1-11111-1-1i−i1-1ii−i−i1-1i−ii−i1-1
χ6111-1-1i−i-1-11111-1-1i−i1-1ii−i−i-11−ii−ii-11111-1-1i−i-1-11111-1-1i−i1-1ii−i−i-11−ii−ii-11111-1-1i−i-1-11111-1-1i−i1-1ii−i−i-11−ii−ii-11
χ7111-1-1−ii-1-11111-1-1−ii1-1−i−iii1-1−ii−ii1-1111-1-1−ii-1-11111-1-1−ii1-1−i−iii1-1−ii−ii1-1111-1-1−ii-1-11111-1-1−ii1-1−i−iii1-1−ii−ii1-1
χ8111-1-1−ii-1-11111-1-1−ii1-1−i−iii-11i−ii−i-11111-1-1−ii-1-11111-1-1−ii1-1−i−iii-11i−ii−i-11111-1-1−ii-1-11111-1-1−ii1-1−i−iii-11i−ii−i-11
χ922222222222-1-1-1-122-1-1-1-1-1-10000000022222222222-1-1-1-122-1-1-1-1-1-10000000022222222222-1-1-1-122-1-1-1-1-1-100000000
χ1022222-2-22222-1-1-1-1-2-2-1-111110000000022222-2-22222-1-1-1-1-2-2-1-111110000000022222-2-22222-1-1-1-1-2-2-1-1111100000000
χ11222-2-22i−2i-2-222-1-1112i−2i-11−i−iii00000000222-2-22i−2i-2-222-1-1112i−2i-11−i−iii00000000222-2-22i−2i-2-222-1-1112i−2i-11−i−iii00000000
χ12222-2-2−2i2i-2-222-1-111−2i2i-11ii−i−i00000000222-2-2−2i2i-2-222-1-111−2i2i-11ii−i−i00000000222-2-2−2i2i-2-222-1-111−2i2i-11ii−i−i00000000
χ1322-22-2002-2-22222200-2-200000000000022-22-2002-2-22222200-2-200000000000022-22-2002-2-22222200-2-2000000000000
χ1422-22-2002-2-22-1-1-1-10011−i3i3−i3i30000000022-22-2002-2-22-1-1-1-10011−i3i3−i3i30000000022-22-2002-2-22-1-1-1-10011−i3i3−i3i300000000
χ1522-22-2002-2-22-1-1-1-10011i3−i3i3−i30000000022-22-2002-2-22-1-1-1-10011i3−i3i3−i30000000022-22-2002-2-22-1-1-1-10011i3−i3i3−i300000000
χ1622-2-2200-22-2222-2-200-2200000000000022-2-2200-22-2222-2-200-2200000000000022-2-2200-22-2222-2-200-22000000000000
χ1722-2-2200-22-22-1-111001-13−3−330000000022-2-2200-22-22-1-111001-13−3−330000000022-2-2200-22-22-1-111001-13−3−3300000000
χ1822-2-2200-22-22-1-111001-1−333−30000000022-2-2200-22-22-1-111001-1−333−30000000022-2-2200-22-22-1-111001-1−333−300000000
χ193333333-1-1-1-10000-1-100000011-1-111-1-13333333-1-1-1-10000-1-100000011-1-111-1-13333333-1-1-1-10000-1-100000011-1-111-1-1
χ203333333-1-1-1-10000-1-1000000-1-111-1-1113333333-1-1-1-10000-1-1000000-1-111-1-1113333333-1-1-1-10000-1-1000000-1-111-1-111
χ2133333-3-3-1-1-1-10000110000001111-1-1-1-133333-3-3-1-1-1-10000110000001111-1-1-1-133333-3-3-1-1-1-10000110000001111-1-1-1-1
χ2233333-3-3-1-1-1-1000011000000-1-1-1-1111133333-3-3-1-1-1-1000011000000-1-1-1-1111133333-3-3-1-1-1-1000011000000-1-1-1-11111
χ23333-3-33i−3i11-1-10000−ii0000001-1−iii−i-11333-3-33i−3i11-1-10000−ii0000001-1−iii−i-11333-3-33i−3i11-1-10000−ii0000001-1−iii−i-11
χ24333-3-33i−3i11-1-10000−ii000000-11i−i−ii1-1333-3-33i−3i11-1-10000−ii000000-11i−i−ii1-1333-3-33i−3i11-1-10000−ii000000-11i−i−ii1-1
χ25333-3-3−3i3i11-1-10000i−i0000001-1i−i−ii-11333-3-3−3i3i11-1-10000i−i0000001-1i−i−ii-11333-3-3−3i3i11-1-10000i−i0000001-1i−i−ii-11
χ26333-3-3−3i3i11-1-10000i−i000000-11−iii−i1-1333-3-3−3i3i11-1-10000i−i000000-11−iii−i1-1333-3-3−3i3i11-1-10000i−i000000-11−iii−i1-1
χ2766-66-600-222-20000000000000000000066-66-600-222-20000000000000000000066-66-600-222-200000000000000000000
χ2866-6-66002-22-20000000000000000000066-6-66002-22-20000000000000000000066-6-66002-22-200000000000000000000
χ298-80000000002-223−2300000000000000008-80000000002-223−2300000000000000008-80000000002-223−230000000000000000
χ308-80000000002-2−232300000000000000008-80000000002-2−232300000000000000008-80000000002-2−23230000000000000000
χ318-8000000000-440000000000000000008-8000000000-440000000000000000008-8000000000-44000000000000000000
χ321111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3311111111111111111111111-1-1-1-1-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ3411111-1-111111111-1-111-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3511111-1-111111111-1-111-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ36111-1-1i−i-1-11111-1-1i−i1-1ii−i−i1-1i−ii−i1-1−1+i32−1+i32−1+i321−i321−i32ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32
χ37111-1-1i−i-1-11111-1-1i−i1-1ii−i−i-11−ii−ii-11−1+i32−1+i32−1+i321−i321−i32ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−ζ7ζ71−i32−1+i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−ζ11ζ111+i32−1−i32
χ38111-1-1−ii-1-11111-1-1−ii1-1−i−iii1-1−ii−ii1-1−1+i32−1+i32−1+i321−i321−i32−ζ7ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32
χ39111-1-1−ii-1-11111-1-1−ii1-1−i−iii-11i−ii−i-11−1+i32−1+i32−1+i321−i321−i32−ζ7ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7ζ7−ζ71−i32−1+i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11ζ11−ζ111+i32−1−i32
χ4022222222222-1-1-1-122-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000
χ4122222-2-22222-1-1-1-1-2-2-1-1111100000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ42222-2-22i−2i-2-222-1-1112i−2i-11−i−iii00000000−1+i3−1+i3−1+i31−i31−i32ζ7−2ζ71−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i322ζ7−2ζ71−i32−1+i32−ζ7−ζ7ζ7ζ700000000−1−i3−1−i3−1−i31+i31+i32ζ11−2ζ111+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i322ζ11−2ζ111+i32−1−i32−ζ11−ζ11ζ11ζ1100000000
χ43222-2-2−2i2i-2-222-1-111−2i2i-11ii−i−i00000000−1+i3−1+i3−1+i31−i31−i3−2ζ72ζ71−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−2ζ72ζ71−i32−1+i32ζ7ζ7−ζ7−ζ700000000−1−i3−1−i3−1−i31+i31+i3−2ζ112ζ111+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−2ζ112ζ111+i32−1−i32ζ11ζ11−ζ11−ζ1100000000
χ4422-22-2002-2-22222200-2-2000000000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i31−i3000000000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i31+i3000000000000
χ4522-22-2002-2-22-1-1-1-10011−i3i3−i3i300000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i31−i321−i321−i321−i3200−1+i32−1+i323+i32−3−i323+i32−3−i3200000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i31+i321+i321+i321+i3200−1−i32−1−i32−3+i323−i32−3+i323−i3200000000
χ4622-22-2002-2-22-1-1-1-10011i3−i3i3−i300000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i31−i321−i321−i321−i3200−1+i32−1+i32−3−i323+i32−3−i323+i3200000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i31+i321+i321+i321+i3200−1−i32−1−i323−i32−3+i323−i32−3+i3200000000
χ4722-2-2200-22-2222-2-200-22000000000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3000000000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3000000000000
χ4822-2-2200-22-22-1-111001-13−3−3300000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i3200−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i3200−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000
χ4922-2-2200-22-22-1-111001-1−333−300000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i3200−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i3200−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000
χ503333333-1-1-1-10000-1-100000011-1-111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i32000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i32000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ513333333-1-1-1-10000-1-1000000-1-111-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i320000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i320000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ5233333-3-3-1-1-1-10000110000001111-1-1-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i32000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i32000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ5333333-3-3-1-1-1-1000011000000-1-1-1-11111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i320000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i320000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ54333-3-33i−3i11-1-10000−ii0000001-1−iii−i-11−3+3i32−3+3i32−3+3i323−3i323−3i323ζ7−3ζ7−1+i32−1+i321−i321−i320000−ζ7ζ7000000−1+i321−i32−ζ7ζ7ζ7−ζ71−i32−1+i32−3−3i32−3−3i32−3−3i323+3i323+3i323ζ11−3ζ11−1−i32−1−i321+i321+i320000−ζ11ζ11000000−1−i321+i32−ζ11ζ11ζ11−ζ111+i32−1−i32
χ55333-3-33i−3i11-1-10000−ii000000-11i−i−ii1-1−3+3i32−3+3i32−3+3i323−3i323−3i323ζ7−3ζ7−1+i32−1+i321−i321−i320000−ζ7ζ70000001−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32−3−3i32−3−3i32−3−3i323+3i323+3i323ζ11−3ζ11−1−i32−1−i321+i321+i320000−ζ11ζ110000001+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32
χ56333-3-3−3i3i11-1-10000i−i0000001-1i−i−ii-11−3+3i32−3+3i32−3+3i323−3i323−3i32−3ζ73ζ7−1+i32−1+i321−i321−i320000ζ7−ζ7000000−1+i321−i32ζ7−ζ7−ζ7ζ71−i32−1+i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3ζ113ζ11−1−i32−1−i321+i321+i320000ζ11−ζ11000000−1−i321+i32ζ11−ζ11−ζ11ζ111+i32−1−i32
χ57333-3-3−3i3i11-1-10000i−i000000-11−iii−i1-1−3+3i32−3+3i32−3+3i323−3i323−3i32−3ζ73ζ7−1+i32−1+i321−i321−i320000ζ7−ζ70000001−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3ζ113ζ11−1−i32−1−i321+i321+i320000ζ11−ζ110000001+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32
χ5866-66-600-222-200000000000000000000−3+3i3−3+3i33−3i3−3+3i33−3i3001−i3−1+i3−1+i31−i300000000000000000000−3−3i3−3−3i33+3i3−3−3i33+3i3001+i3−1−i3−1−i31+i300000000000000000000
χ5966-6-66002-22-200000000000000000000−3+3i3−3+3i33−3i33−3i3−3+3i300−1+i31−i3−1+i31−i300000000000000000000−3−3i3−3−3i33+3i33+3i3−3−3i300−1−i31+i3−1−i31+i300000000000000000000
χ608-80000000002-223−230000000000000000−4+4i34−4i3000000000−1+i31−i3−2ζ7−4ζ112ζ7+4ζ110000000000000000−4−4i34+4i3000000000−1−i31+i34ζ7+2ζ11−4ζ7−2ζ110000000000000000
χ618-80000000002-2−23230000000000000000−4+4i34−4i3000000000−1+i31−i32ζ7+4ζ11−2ζ7−4ζ110000000000000000−4−4i34+4i3000000000−1−i31+i3−4ζ7−2ζ114ζ7+2ζ110000000000000000
χ628-8000000000-44000000000000000000−4+4i34−4i30000000002−2i3−2+2i3000000000000000000−4−4i34+4i30000000002+2i3−2−2i3000000000000000000
χ631111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6411111111111111111111111-1-1-1-1-1-1-1-1−1−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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ6511111-1-111111111-1-111-1-1-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ6611111-1-111111111-1-111-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ67111-1-1i−i-1-11111-1-1i−i1-1ii−i−i1-1i−ii−i1-1−1−i32−1−i32−1−i321+i321+i32ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i321+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i321−i32
χ68111-1-1i−i-1-11111-1-1i−i1-1ii−i−i-11−ii−ii-11−1−i32−1−i32−1−i321+i321+i32ζ11−ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ11−ζ11−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−ζ11ζ111+i32−1−i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ7−ζ7−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−ζ7ζ71−i32−1+i32
χ69111-1-1−ii-1-11111-1-1−ii1-1−i−iii1-1−ii−ii1-1−1−i32−1−i32−1−i321+i321+i32−ζ11ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i321−i32
χ70111-1-1−ii-1-11111-1-1−ii1-1−i−iii-11i−ii−i-11−1−i32−1−i32−1−i321+i321+i32−ζ11ζ111+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11ζ11−ζ111+i32−1−i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ71−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7ζ7−ζ71−i32−1+i32
χ7122222222222-1-1-1-122-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000
χ7222222-2-22222-1-1-1-1-2-2-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ73222-2-22i−2i-2-222-1-1112i−2i-11−i−iii00000000−1−i3−1−i3−1−i31+i31+i32ζ11−2ζ111+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i322ζ11−2ζ111+i32−1−i32−ζ11−ζ11ζ11ζ1100000000−1+i3−1+i3−1+i31−i31−i32ζ7−2ζ71−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i322ζ7−2ζ71−i32−1+i32−ζ7−ζ7ζ7ζ700000000
χ74222-2-2−2i2i-2-222-1-111−2i2i-11ii−i−i00000000−1−i3−1−i3−1−i31+i31+i3−2ζ112ζ111+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−2ζ112ζ111+i32−1−i32ζ11ζ11−ζ11−ζ1100000000−1+i3−1+i3−1+i31−i31−i3−2ζ72ζ71−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−2ζ72ζ71−i32−1+i32ζ7ζ7−ζ7−ζ700000000
χ7522-22-2002-2-22222200-2-2000000000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3001+i31+i3000000000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3001−i31−i3000000000000
χ7622-22-2002-2-22-1-1-1-10011−i3i3−i3i300000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i31+i321+i321+i321+i3200−1−i32−1−i32−3+i323−i32−3+i323−i3200000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i31−i321−i321−i321−i3200−1+i32−1+i323+i32−3−i323+i32−3−i3200000000
χ7722-22-2002-2-22-1-1-1-10011i3−i3i3−i300000000−1−i3−1−i31+i3−1−i31+i300−1−i31+i31+i3−1−i31+i321+i321+i321+i3200−1−i32−1−i323−i32−3+i323−i32−3+i3200000000−1+i3−1+i31−i3−1+i31−i300−1+i31−i31−i3−1+i31−i321−i321−i321−i3200−1+i32−1+i32−3−i323+i32−3−i323+i3200000000
χ7822-2-2200-22-2222-2-200-22000000000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3000000000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3000000000000
χ7922-2-2200-22-22-1-111001-13−3−3300000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i3200−1−i321+i322ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i3200−1+i321−i32−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
χ8022-2-2200-22-22-1-111001-1−333−300000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i3−1−i31+i321+i32−1−i32−1−i3200−1−i321+i32−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i3−1+i31−i321−i32−1+i32−1+i3200−1+i321−i32ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000
χ813333333-1-1-1-10000-1-100000011-1-111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i32000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i32000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ823333333-1-1-1-10000-1-1000000-1-111-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i320000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i320000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ8333333-3-3-1-1-1-10000110000001111-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i32000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i32000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ8433333-3-3-1-1-1-1000011000000-1-1-1-11111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i320000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i320000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ85333-3-33i−3i11-1-10000−ii0000001-1−iii−i-11−3−3i32−3−3i32−3−3i323+3i323+3i323ζ11−3ζ11−1−i32−1−i321+i321+i320000−ζ11ζ11000000−1−i321+i32−ζ11ζ11ζ11−ζ111+i32−1−i32−3+3i32−3+3i32−3+3i323−3i323−3i323ζ7−3ζ7−1+i32−1+i321−i321−i320000−ζ7ζ7000000−1+i321−i32−ζ7ζ7ζ7−ζ71−i32−1+i32
χ86333-3-33i−3i11-1-10000−ii000000-11i−i−ii1-1−3−3i32−3−3i32−3−3i323+3i323+3i323ζ11−3ζ11−1−i32−1−i321+i321+i320000−ζ11ζ110000001+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i321+i32−3+3i32−3+3i32−3+3i323−3i323−3i323ζ7−3ζ7−1+i32−1+i321−i321−i320000−ζ7ζ70000001−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i321−i32
χ87333-3-3−3i3i11-1-10000i−i0000001-1i−i−ii-11−3−3i32−3−3i32−3−3i323+3i323+3i32−3ζ113ζ11−1−i32−1−i321+i321+i320000ζ11−ζ11000000−1−i321+i32ζ11−ζ11−ζ11ζ111+i32−1−i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3ζ73ζ7−1+i32−1+i321−i321−i320000ζ7−ζ7000000−1+i321−i32ζ7−ζ7−ζ7ζ71−i32−1+i32
χ88333-3-3−3i3i11-1-10000i−i000000-11−iii−i1-1−3−3i32−3−3i32−3−3i323+3i323+3i32−3ζ113ζ11−1−i32−1−i321+i321+i320000ζ11−ζ110000001+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i321+i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3ζ73ζ7−1+i32−1+i321−i321−i320000ζ7−ζ70000001−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i321−i32
χ8966-66-600-222-200000000000000000000−3−3i3−3−3i33+3i3−3−3i33+3i3001+i3−1−i3−1−i31+i300000000000000000000−3+3i3−3+3i33−3i3−3+3i33−3i3001−i3−1+i3−1+i31−i300000000000000000000
χ9066-6-66002-22-200000000000000000000−3−3i3−3−3i33+3i33+3i3−3−3i300−1−i31+i3−1−i31+i300000000000000000000−3+3i3−3+3i33−3i33−3i3−3+3i300−1+i31−i3−1+i31−i300000000000000000000
χ918-80000000002-223−230000000000000000−4−4i34+4i3000000000−1−i31+i34ζ7+2ζ11−4ζ7−2ζ110000000000000000−4+4i34−4i3000000000−1+i31−i3−2ζ7−4ζ112ζ7+4ζ110000000000000000
χ928-80000000002-2−23230000000000000000−4−4i34+4i3000000000−1−i31+i3−4ζ7−2ζ114ζ7+2ζ110000000000000000−4+4i34−4i3000000000−1+i31−i32ζ7+4ζ11−2ζ7−4ζ110000000000000000
χ938-8000000000-44000000000000000000−4−4i34+4i30000000002+2i3−2−2i3000000000000000000−4+4i34−4i30000000002−2i3−2+2i3000000000000000000

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