Finite Group Databasebeta

← Group #11920931

Character table — Group #11920931

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122446666888812121212121216161616161624242424242411112244666688881212121212121616161616162424242424241111224466668888121212121212161616161616242424242424
order12224444224436662244441212121212124488883666121212126612123666661212121212121212121212122424242436661212121266121236666612121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ3111111-1-111111111-1-1111111-1-1-1-1-1-111-1-1111111-1-111111111-1-1111111-1-1-1-1-1-111-1-1111111-1-111111111-1-1111111-1-1-1-1-1-111-1-1
χ4111111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111
χ51-11-11-11-11-11-11-1-111-1ii−i−i1-111-1-1i−ii−ii−i1-11-11-11-11-11-11-1-111-1ii−i−i1-111-1-1i−ii−ii−i1-11-11-11-11-11-11-1-111-1ii−i−i1-111-1-1i−ii−ii−i
χ61-11-11-11-11-11-11-1-111-1−i−iii1-111-1-1−ii−ii−ii1-11-11-11-11-11-11-1-111-1−i−iii1-111-1-1−ii−ii−ii1-11-11-11-11-11-11-1-111-1−i−iii1-111-1-1−ii−ii−ii
χ71-11-11-1-111-11-11-1-11-11ii−i−i1-1-1-111−iii−i−ii1-11-11-1-111-11-11-1-11-11ii−i−i1-1-1-111−iii−i−ii1-11-11-1-111-11-11-1-11-11ii−i−i1-1-1-111−iii−i−ii
χ81-11-11-1-111-11-11-1-11-11−i−iii1-1-1-111i−i−iii−i1-11-11-1-111-11-11-1-11-11−i−iii1-1-1-111i−i−iii−i1-11-11-1-111-11-11-1-11-11−i−iii1-1-1-111i−i−iii−i
χ9222222222222-1-1-1-1220000-1-1-1-1-1-1000000222222222222-1-1-1-1220000-1-1-1-1-1-1000000222222222222-1-1-1-1220000-1-1-1-1-1-1000000
χ10222222-2-22222-1-1-1-1-2-20000-1-11111000000222222-2-22222-1-1-1-1-2-20000-1-11111000000222222-2-22222-1-1-1-1-2-20000-1-11111000000
χ112222-2-200-2-2222222000000-2-200000000002222-2-200-2-2222222000000-2-200000000002222-2-200-2-2222222000000-2-20000000000
χ122222-2-200-2-222-1-1-1-100000011−i3i3−i3i30000002222-2-200-2-222-1-1-1-100000011−i3i3−i3i30000002222-2-200-2-222-1-1-1-100000011−i3i3−i3i3000000
χ132222-2-200-2-222-1-1-1-100000011i3−i3i3−i30000002222-2-200-2-222-1-1-1-100000011i3−i3i3−i30000002222-2-200-2-222-1-1-1-100000011i3−i3i3−i3000000
χ142-22-22-22-22-22-2-111-12-20000-11-1-1110000002-22-22-22-22-22-2-111-12-20000-11-1-1110000002-22-22-22-22-22-2-111-12-20000-11-1-111000000
χ152-22-22-2-222-22-2-111-1-220000-1111-1-10000002-22-22-2-222-22-2-111-1-220000-1111-1-10000002-22-22-2-222-22-2-111-1-220000-1111-1-1000000
χ162-22-2-2200-222-22-2-22000000-2200000000002-22-2-2200-222-22-2-22000000-2200000000002-22-2-2200-222-22-2-22000000-220000000000
χ172-22-2-2200-222-2-111-10000001-1−i3i3i3−i30000002-22-2-2200-222-2-111-10000001-1−i3i3i3−i30000002-22-2-2200-222-2-111-10000001-1−i3i3i3−i3000000
χ182-22-2-2200-222-2-111-10000001-1i3−i3−i3i30000002-22-2-2200-222-2-111-10000001-1i3−i3−i3i30000002-22-2-2200-222-2-111-10000001-1i3−i3−i3i3000000
χ1933333333-1-1-1-10000-1-11111000000-1-1-1-11133333333-1-1-1-10000-1-11111000000-1-1-1-11133333333-1-1-1-10000-1-11111000000-1-1-1-111
χ2033333333-1-1-1-10000-1-1-1-1-1-10000001111-1-133333333-1-1-1-10000-1-1-1-1-1-10000001111-1-133333333-1-1-1-10000-1-1-1-1-1-10000001111-1-1
χ21333333-3-3-1-1-1-1000011111100000011-1-1-1-1333333-3-3-1-1-1-1000011111100000011-1-1-1-1333333-3-3-1-1-1-1000011111100000011-1-1-1-1
χ22333333-3-3-1-1-1-1000011-1-1-1-1000000-1-11111333333-3-3-1-1-1-1000011-1-1-1-1000000-1-11111333333-3-3-1-1-1-1000011-1-1-1-1000000-1-11111
χ233-33-33-33-3-11-110000-11ii−i−i000000−ii−iii−i3-33-33-33-3-11-110000-11ii−i−i000000−ii−iii−i3-33-33-33-3-11-110000-11ii−i−i000000−ii−iii−i
χ243-33-33-33-3-11-110000-11−i−iii000000i−ii−i−ii3-33-33-33-3-11-110000-11−i−iii000000i−ii−i−ii3-33-33-33-3-11-110000-11−i−iii000000i−ii−i−ii
χ253-33-33-3-33-11-1100001-1ii−i−i000000i−i−ii−ii3-33-33-3-33-11-1100001-1ii−i−i000000i−i−ii−ii3-33-33-3-33-11-1100001-1ii−i−i000000i−i−ii−ii
χ263-33-33-3-33-11-1100001-1−i−iii000000−iii−ii−i3-33-33-3-33-11-1100001-1−i−iii000000−iii−ii−i3-33-33-3-33-11-1100001-1−i−iii000000−iii−ii−i
χ2744-4-400000000-22-22002i−2i2i−2i00000000000044-4-400000000-22-22002i−2i2i−2i00000000000044-4-400000000-22-22002i−2i2i−2i000000000000
χ2844-4-400000000-22-2200−2i2i−2i2i00000000000044-4-400000000-22-2200−2i2i−2i2i00000000000044-4-400000000-22-2200−2i2i−2i2i000000000000
χ294-4-4400000000-2-222002-2-220000000000004-4-4400000000-2-222002-2-220000000000004-4-4400000000-2-222002-2-22000000000000
χ304-4-4400000000-2-22200-222-20000000000004-4-4400000000-2-22200-222-20000000000004-4-4400000000-2-22200-222-2000000000000
χ316666-6-60022-2-200000000000000000000006666-6-60022-2-200000000000000000000006666-6-60022-2-20000000000000000000000
χ326-66-6-66002-2-2200000000000000000000006-66-6-66002-2-2200000000000000000000006-66-6-66002-2-220000000000000000000000
χ3388-8-8000000002-22-200000000000000000088-8-8000000002-22-200000000000000000088-8-8000000002-22-2000000000000000000
χ348-8-880000000022-2-20000000000000000008-8-880000000022-2-20000000000000000008-8-880000000022-2-2000000000000000000
χ351111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ36111111111111111111-1-1-1-1111111-1-1-1-1-1-1−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+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−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+i321+i321+i32
χ37111111-1-111111111-1-1111111-1-1-1-1-1-111-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ38111111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111−1+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−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ391-11-11-11-11-11-11-1-111-1ii−i−i1-111-1-1i−ii−ii−i−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i32−1+i321−i321−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+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ401-11-11-11-11-11-11-1-111-1−i−iii1-111-1-1−ii−ii−ii−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−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+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ411-11-11-1-111-11-11-1-11-11ii−i−i1-1-1-111−iii−i−ii−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ11
χ421-11-11-1-111-11-11-1-11-11−i−iii1-1-1-111i−i−iii−i−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11
χ43222222222222-1-1-1-1220000-1-1-1-1-1-1000000−1+i3−1+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+i300001−i321−i321−i321−i321−i321−i32000000−1−i3−1−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−i300001+i321+i321+i321+i321+i321+i32000000
χ44222222-2-22222-1-1-1-1-2-20000-1-11111000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i300001−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i300001+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ452222-2-200-2-2222222000000-2-20000000000−1+i3−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i31−i30000000000−1−i3−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i31+i30000000000
χ462222-2-200-2-222-1-1-1-100000011−i3i3−i3i3000000−1+i3−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i31−i321−i321−i321−i32000000−1+i32−1+i323+i32−3−i323+i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i31+i321+i321+i321+i32000000−1−i32−1−i32−3+i323−i32−3+i323−i32000000
χ472222-2-200-2-222-1-1-1-100000011i3−i3i3−i3000000−1+i3−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i31−i321−i321−i321−i32000000−1+i32−1+i32−3−i323+i32−3−i323+i32000000−1−i3−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i31+i321+i321+i321+i32000000−1−i32−1−i323−i32−3+i323−i32−3+i32000000
χ482-22-22-22-22-22-2-111-12-20000-11-1-111000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32−1+i31−i300001−i32−1+i321−i321−i32−1+i32−1+i32000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32−1−i31+i300001+i32−1−i321+i321+i32−1−i32−1−i32000000
χ492-22-22-2-222-22-2-111-1-220000-1111-1-1000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i300001−i32−1+i32−1+i32−1+i321−i321−i32000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i300001+i32−1−i32−1−i32−1−i321+i321+i32000000
χ502-22-2-2200-222-22-2-22000000-220000000000−1+i31−i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i30000001−i3−1+i30000000000−1−i31+i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i30000001+i3−1−i30000000000
χ512-22-2-2200-222-2-111-10000001-1−i3i3i3−i3000000−1+i31−i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i32000000−1+i321−i323+i32−3−i32−3−i323+i32000000−1−i31+i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i32000000−1−i321+i32−3+i323−i323−i32−3+i32000000
χ522-22-2-2200-222-2-111-10000001-1i3−i3−i3i3000000−1+i31−i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i32000000−1+i321−i32−3−i323+i323+i32−3−i32000000−1−i31+i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i32000000−1−i321+i323−i32−3+i32−3+i323−i32000000
χ5333333333-1-1-1-10000-1-11111000000-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i321+i321+i32−1−i32−1−i32
χ5433333333-1-1-1-10000-1-1-1-1-1-10000001111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i321+i321+i32
χ55333333-3-3-1-1-1-1000011111100000011-1-1-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i321−i321−i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i321+i321+i321+i321+i32
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χ691111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ70111111111111111111-1-1-1-1111111-1-1-1-1-1-1−1−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+i32−1−i32−1−i32−1−i32−1−i32−1−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+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−i321−i321−i32
χ71111111-1-111111111-1-1111111-1-1-1-1-1-111-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ72111111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111−1−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+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ731-11-11-11-11-11-11-1-111-1ii−i−i1-111-1-1i−ii−ii−i−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i32−1−i321+i321+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−i32−1+i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ741-11-11-11-11-11-11-1-111-1−i−iii1-111-1-1−ii−ii−ii−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i32−1−i321+i321+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−i32−1+i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ751-11-11-1-111-11-11-1-11-11ii−i−i1-1-1-111−iii−i−ii−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ7
χ761-11-11-1-111-11-11-1-11-11−i−iii1-1-1-111i−i−iii−i−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ77222222222222-1-1-1-1220000-1-1-1-1-1-1000000−1−i3−1−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−i300001+i321+i321+i321+i321+i321+i32000000−1+i3−1+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+i300001−i321−i321−i321−i321−i321−i32000000
χ78222222-2-22222-1-1-1-1-2-20000-1-11111000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i300001+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i300001−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ792222-2-200-2-2222222000000-2-20000000000−1−i3−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000001+i31+i30000000000−1+i3−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000001−i31−i30000000000
χ802222-2-200-2-222-1-1-1-100000011−i3i3−i3i3000000−1−i3−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i31+i321+i321+i321+i32000000−1−i32−1−i32−3+i323−i32−3+i323−i32000000−1+i3−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i31−i321−i321−i321−i32000000−1+i32−1+i323+i32−3−i323+i32−3−i32000000
χ812222-2-200-2-222-1-1-1-100000011i3−i3i3−i3000000−1−i3−1−i3−1−i3−1−i31+i31+i3001+i31+i3−1−i3−1−i31+i321+i321+i321+i32000000−1−i32−1−i323−i32−3+i323−i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i31−i3001−i31−i3−1+i3−1+i31−i321−i321−i321−i32000000−1+i32−1+i32−3−i323+i32−3−i323+i32000000
χ822-22-22-22-22-22-2-111-12-20000-11-1-111000000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32−1−i31+i300001+i32−1−i321+i321+i32−1−i32−1−i32000000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32−1+i31−i300001−i32−1+i321−i321−i32−1+i32−1+i32000000
χ832-22-22-2-222-22-2-111-1-220000-1111-1-1000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i321+i3−1−i300001+i32−1−i32−1−i32−1−i321+i321+i32000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i321−i3−1+i300001−i32−1+i32−1+i32−1+i321−i321−i32000000
χ842-22-2-2200-222-22-2-22000000-220000000000−1−i31+i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i30000001+i3−1−i30000000000−1+i31−i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i30000001−i3−1+i30000000000
χ852-22-2-2200-222-2-111-10000001-1−i3i3i3−i3000000−1−i31+i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i32000000−1−i321+i32−3+i323−i323−i32−3+i32000000−1+i31−i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i32000000−1+i321−i323+i32−3−i32−3−i323+i32000000
χ862-22-2-2200-222-2-111-10000001-1i3−i3−i3i3000000−1−i31+i3−1−i31+i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i32000000−1−i321+i323−i32−3+i32−3+i323−i32000000−1+i31−i3−1+i31−i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i32000000−1+i321−i32−3−i323+i323+i32−3−i32000000
χ8733333333-1-1-1-10000-1-11111000000-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i321−i321−i32−1+i32−1+i32
χ8833333333-1-1-1-10000-1-1-1-1-1-10000001111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i3200001+i321+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i3200001−i321−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i321−i321−i32
χ89333333-3-3-1-1-1-1000011111100000011-1-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i321+i321+i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i321−i321−i321−i321−i32
χ90333333-3-3-1-1-1-1000011-1-1-1-1000000-1-11111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i321+i321+i321+i321+i320000001+i321+i32−1−i32−1−i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i321−i321−i321−i321−i320000001−i321−i32−1+i32−1+i32−1+i32−1+i32
χ913-33-33-33-3-11-110000-11ii−i−i000000−ii−iii−i−3−3i323+3i32−3−3i323+3i32−3−3i323+3i32−3−3i323+3i321+i32−1−i321+i32−1−i3200001+i32−1−i32ζ11ζ11−ζ11−ζ11000000−ζ11ζ11−ζ11ζ11ζ11−ζ11−3+3i323−3i32−3+3i323−3i32−3+3i323−3i32−3+3i323−3i321−i32−1+i321−i32−1+i3200001−i32−1+i32ζ7ζ7−ζ7−ζ7000000−ζ7ζ7−ζ7ζ7ζ7−ζ7
χ923-33-33-33-3-11-110000-11−i−iii000000i−ii−i−ii−3−3i323+3i32−3−3i323+3i32−3−3i323+3i32−3−3i323+3i321+i32−1−i321+i32−1−i3200001+i32−1−i32−ζ11−ζ11ζ11ζ11000000ζ11−ζ11ζ11−ζ11−ζ11ζ11−3+3i323−3i32−3+3i323−3i32−3+3i323−3i32−3+3i323−3i321−i32−1+i321−i32−1+i3200001−i32−1+i32−ζ7−ζ7ζ7ζ7000000ζ7−ζ7ζ7−ζ7−ζ7ζ7
χ933-33-33-3-33-11-1100001-1ii−i−i000000i−i−ii−ii−3−3i323+3i32−3−3i323+3i32−3−3i323+3i323+3i32−3−3i321+i32−1−i321+i32−1−i320000−1−i321+i32ζ11ζ11−ζ11−ζ11000000ζ11−ζ11−ζ11ζ11−ζ11ζ11−3+3i323−3i32−3+3i323−3i32−3+3i323−3i323−3i32−3+3i321−i32−1+i321−i32−1+i320000−1+i321−i32ζ7ζ7−ζ7−ζ7000000ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ943-33-33-3-33-11-1100001-1−i−iii000000−iii−ii−i−3−3i323+3i32−3−3i323+3i32−3−3i323+3i323+3i32−3−3i321+i32−1−i321+i32−1−i320000−1−i321+i32−ζ11−ζ11ζ11ζ11000000−ζ11ζ11ζ11−ζ11ζ11−ζ11−3+3i323−3i32−3+3i323−3i32−3+3i323−3i323−3i32−3+3i321−i32−1+i321−i32−1+i320000−1+i321−i32−ζ7−ζ7ζ7ζ7000000−ζ7ζ7ζ7−ζ7ζ7−ζ7
χ9544-4-400000000-22-22002i−2i2i−2i000000000000−2−2i3−2−2i32+2i32+2i3000000001+i3−1−i31+i3−1−i3002ζ11−2ζ112ζ11−2ζ11000000000000−2+2i3−2+2i32−2i32−2i3000000001−i3−1+i31−i3−1+i3002ζ7−2ζ72ζ7−2ζ7000000000000
χ9644-4-400000000-22-2200−2i2i−2i2i000000000000−2−2i3−2−2i32+2i32+2i3000000001+i3−1−i31+i3−1−i300−2ζ112ζ11−2ζ112ζ11000000000000−2+2i3−2+2i32−2i32−2i3000000001−i3−1+i31−i3−1+i300−2ζ72ζ7−2ζ72ζ7000000000000
χ974-4-4400000000-2-222002-2-22000000000000−2−2i32+2i32+2i3−2−2i3000000001+i31+i3−1−i3−1−i300−1−i31+i31+i3−1−i3000000000000−2+2i32−2i32−2i3−2+2i3000000001−i31−i3−1+i3−1+i300−1+i31−i31−i3−1+i3000000000000
χ984-4-4400000000-2-22200-222-2000000000000−2−2i32+2i32+2i3−2−2i3000000001+i31+i3−1−i3−1−i3001+i3−1−i3−1−i31+i3000000000000−2+2i32−2i32−2i3−2+2i3000000001−i31−i3−1+i3−1+i3001−i3−1+i3−1+i31−i3000000000000
χ996666-6-60022-2-20000000000000000000000−3−3i3−3−3i3−3−3i3−3−3i33+3i33+3i300−1−i3−1−i31+i31+i30000000000000000000000−3+3i3−3+3i3−3+3i3−3+3i33−3i33−3i300−1+i3−1+i31−i31−i30000000000000000000000
χ1006-66-6-66002-2-220000000000000000000000−3−3i33+3i3−3−3i33+3i33+3i3−3−3i300−1−i31+i31+i3−1−i30000000000000000000000−3+3i33−3i3−3+3i33−3i33−3i3−3+3i300−1+i31−i31−i3−1+i30000000000000000000000
χ10188-8-8000000002-22-2000000000000000000−4−4i3−4−4i34+4i34+4i300000000−1−i31+i3−1−i31+i3000000000000000000−4+4i3−4+4i34−4i34−4i300000000−1+i31−i3−1+i31−i3000000000000000000
χ1028-8-880000000022-2-2000000000000000000−4−4i34+4i34+4i3−4−4i300000000−1−i3−1−i31+i31+i3000000000000000000−4+4i34−4i34−4i3−4+4i300000000−1+i3−1+i31−i31−i3000000000000000000

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