Finite Group Databasebeta

← Group #11922824

Character table — Group #11922824

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122446666888812121212121216161616161624242424242411112244666688881212121212121616161616162424242424241111224466668888121212121212161616161616242424242424
order122244222244366644888866661212244488366612126666121236661212242424246666121261212122424366612126666121236661212242424246666121261212122424
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
χ3111111-1-111111111-1-11111-1-1-1-1111-1-11-1-1111111-1-111111111-1-11111-1-1-1-1111-1-11-1-1111111-1-111111111-1-11111-1-1-1-1111-1-11-1-1
χ4111111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-111
χ51111-1-11-1-1-11111111-111-1-111-1-1-1-111-1-11-11111-1-11-1-1-11111111-111-1-111-1-1-1-111-1-11-11111-1-11-1-1-11111111-111-1-111-1-1-1-111-1-11-1
χ61111-1-11-1-1-11111111-1-1-11111-1-1-1-1-1-111-111111-1-11-1-1-11111111-1-1-11111-1-1-1-1-1-111-111111-1-11-1-1-11111111-1-1-11111-1-1-1-1-1-111-11
χ71111-1-1-11-1-1111111-1111-1-1-1-111-1-11-11-1-111111-1-1-11-1-1111111-1111-1-1-1-111-1-11-11-1-111111-1-1-11-1-1111111-1111-1-1-1-111-1-11-11-1-11
χ81111-1-1-11-1-1111111-11-1-111-1-111-1-1-11-111-11111-1-1-11-1-1111111-11-1-111-1-111-1-1-11-111-11111-1-1-11-1-1111111-11-1-111-1-111-1-1-11-111-1
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
χ10222222-2-22222-1-1-1-1-2-200001111-1-1000000222222-2-22222-1-1-1-1-2-200001111-1-1000000222222-2-22222-1-1-1-1-2-200001111-1-1000000
χ112222-2-22-2-2-222-1-1-1-12-20000-1-111110000002222-2-22-2-2-222-1-1-1-12-20000-1-111110000002222-2-22-2-2-222-1-1-1-12-20000-1-11111000000
χ122222-2-2-22-2-222-1-1-1-1-22000011-1-1110000002222-2-2-22-2-222-1-1-1-1-22000011-1-1110000002222-2-2-22-2-222-1-1-1-1-22000011-1-111000000
χ132-2-222-2002-22-22-2-2200000000002-20000002-2-222-2002-22-22-2-2200000000002-20000002-2-222-2002-22-22-2-2200000000002-2000000
χ142-2-222-2002-22-2-111-1000000−i3i3−i3i3-110000002-2-222-2002-22-2-111-1000000−i3i3−i3i3-110000002-2-222-2002-22-2-111-1000000−i3i3−i3i3-11000000
χ152-2-222-2002-22-2-111-1000000i3−i3i3−i3-110000002-2-222-2002-22-2-111-1000000i3−i3i3−i3-110000002-2-222-2002-22-2-111-1000000i3−i3i3−i3-11000000
χ162-2-22-2200-222-22-2-220000000000-220000002-2-22-2200-222-22-2-220000000000-220000002-2-22-2200-222-22-2-220000000000-22000000
χ172-2-22-2200-222-2-111-1000000−i3i3i3−i31-10000002-2-22-2200-222-2-111-1000000−i3i3i3−i31-10000002-2-22-2200-222-2-111-1000000−i3i3i3−i31-1000000
χ182-2-22-2200-222-2-111-1000000i3−i3−i3i31-10000002-2-22-2200-222-2-111-1000000i3−i3−i3i31-10000002-2-22-2200-222-2-111-1000000i3−i3−i3i31-1000000
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
χ21333333-3-3-1-1-1-10000111111000000-111-1-1-1333333-3-3-1-1-1-10000111111000000-111-1-1-1333333-3-3-1-1-1-10000111111000000-111-1-1-1
χ22333333-3-3-1-1-1-1000011-1-1-1-10000001-1-1111333333-3-3-1-1-1-1000011-1-1-1-10000001-1-1111333333-3-3-1-1-1-1000011-1-1-1-10000001-1-1111
χ233333-3-33-311-1-10000-1111-1-1000000-1-1111-13333-3-33-311-1-10000-1111-1-1000000-1-1111-13333-3-33-311-1-10000-1111-1-1000000-1-1111-1
χ243333-3-33-311-1-10000-11-1-11100000011-1-1-113333-3-33-311-1-10000-11-1-11100000011-1-1-113333-3-33-311-1-10000-11-1-11100000011-1-1-11
χ253333-3-3-3311-1-100001-111-1-1000000-11-11-113333-3-3-3311-1-100001-111-1-1000000-11-11-113333-3-3-3311-1-100001-111-1-1000000-11-11-11
χ263333-3-3-3311-1-100001-1-1-1110000001-11-11-13333-3-3-3311-1-100001-1-1-1110000001-11-11-13333-3-3-3311-1-100001-1-1-1110000001-11-11-1
χ2744-4-400000000-22-22000022−2200000000000044-4-400000000-22-22000022−2200000000000044-4-400000000-22-22000022−22000000000000
χ2844-4-400000000-22-220000−222200000000000044-4-400000000-22-220000−222200000000000044-4-400000000-22-220000−2222000000000000
χ294-44-400000000-2-22200−2i22i2000000000000004-44-400000000-2-22200−2i22i2000000000000004-44-400000000-2-22200−2i22i200000000000000
χ304-44-400000000-2-222002i2−2i2000000000000004-44-400000000-2-222002i2−2i2000000000000004-44-400000000-2-222002i2−2i200000000000000
χ316-6-666-600-22-2200000000000000000000006-6-666-600-22-2200000000000000000000006-6-666-600-22-220000000000000000000000
χ326-6-66-66002-2-2200000000000000000000006-6-66-66002-2-2200000000000000000000006-6-66-66002-2-220000000000000000000000
χ3388-8-8000000002-22-200000000000000000088-8-8000000002-22-200000000000000000088-8-8000000002-22-2000000000000000000
χ348-88-80000000022-2-20000000000000000008-88-80000000022-2-20000000000000000008-88-80000000022-2-2000000000000000000
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
χ37111111-1-111111111-1-11111-1-1-1-1111-1-11-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32
χ38111111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-111−1+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−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+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+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32
χ391111-1-11-1-1-11111111-111-1-111-1-1-1-111-1-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ401111-1-11-1-1-11111111-1-1-11111-1-1-1-1-1-111-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−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−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+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+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ411111-1-1-11-1-1111111-1111-1-1-1-111-1-11-11-1-11−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32
χ421111-1-1-11-1-1111111-11-1-111-1-111-1-1-11-111-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
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
χ44222222-2-22222-1-1-1-1-2-200001111-1-1000000−1+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−i30000−1+i32−1+i32−1+i32−1+i321−i321−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+i30000−1−i32−1−i32−1−i32−1−i321+i321+i32000000
χ452222-2-22-2-2-222-1-1-1-12-20000-1-11111000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i300001−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i300001+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ462222-2-2-22-2-222-1-1-1-1-22000011-1-111000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i3−1+i30000−1+i32−1+i321−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i3−1−i30000−1−i32−1−i321+i321+i32−1−i32−1−i32000000
χ472-2-222-2002-22-22-2-2200000000002-2000000−1+i31−i31−i3−1+i3−1+i31−i300−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i30000000000−1+i31−i3000000−1−i31+i31+i3−1−i3−1−i31+i300−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i30000000000−1−i31+i3000000
χ482-2-222-2002-22-2-111-1000000−i3i3−i3i3-11000000−1+i31−i31−i3−1+i3−1+i31−i300−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i320000003+i32−3−i323+i32−3−i321−i32−1+i32000000−1−i31+i31+i3−1−i3−1−i31+i300−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32000000−3+i323−i32−3+i323−i321+i32−1−i32000000
χ492-2-222-2002-22-2-111-1000000i3−i3i3−i3-11000000−1+i31−i31−i3−1+i3−1+i31−i300−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32000000−3−i323+i32−3−i323+i321−i32−1+i32000000−1−i31+i31+i3−1−i3−1−i31+i300−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i320000003−i32−3+i323−i32−3+i321+i32−1−i32000000
χ502-2-22-2200-222-22-2-220000000000-22000000−1+i31−i31−i3−1+i31−i3−1+i3001−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300000000001−i3−1+i3000000−1−i31+i31+i3−1−i31+i3−1−i3001+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300000000001+i3−1−i3000000
χ512-2-22-2200-222-2-111-1000000−i3i3i3−i31-1000000−1+i31−i31−i3−1+i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i320000003+i32−3−i32−3−i323+i32−1+i321−i32000000−1−i31+i31+i3−1−i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i32000000−3+i323−i323−i32−3+i32−1−i321+i32000000
χ522-2-22-2200-222-2-111-1000000i3−i3−i3i31-1000000−1+i31−i31−i3−1+i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i32000000−3−i323+i323+i32−3−i32−1+i321−i32000000−1−i31+i31+i3−1−i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i320000003−i32−3+i32−3+i323−i32−1−i321+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
χ55333333-3-3-1-1-1-10000111111000000-111-1-1-1−3+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+i320000001−i32−1+i32−1+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−i320000001+i32−1−i32−1−i321+i321+i321+i32
χ56333333-3-3-1-1-1-1000011-1-1-1-10000001-1-1111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i320000−1+i32−1+i321−i321−i321−i321−i32000000−1+i321−i321−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+i32000000−1−i321+i321+i32−1−i32−1−i32−1−i32
χ573333-3-33-311-1-10000-1111-1-1000000-1-1111-1−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−1+i32−1+i321−i321−i3200001−i32−1+i32−1+i32−1+i321−i321−i320000001−i321−i32−1+i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−1−i32−1−i321+i321+i3200001+i32−1−i32−1−i32−1−i321+i321+i320000001+i321+i32−1−i32−1−i32−1−i321+i32
χ583333-3-33-311-1-10000-11-1-11100000011-1-1-11−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−1+i32−1+i321−i321−i3200001−i32−1+i321−i321−i32−1+i32−1+i32000000−1+i32−1+i321−i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−1−i32−1−i321+i321+i3200001+i32−1−i321+i321+i32−1−i32−1−i32000000−1−i32−1−i321+i321+i321+i32−1−i32
χ593333-3-3-3311-1-100001-111-1-1000000-11-11-11−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i32−1+i32−1+i321−i321−i320000−1+i321−i32−1+i32−1+i321−i321−i320000001−i32−1+i321−i32−1+i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i32−1−i32−1−i321+i321+i320000−1−i321+i32−1−i32−1−i321+i321+i320000001+i32−1−i321+i32−1−i321+i32−1−i32
χ603333-3-3-3311-1-100001-1-1-1110000001-11-11-1−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i32−1+i32−1+i321−i321−i320000−1+i321−i321−i321−i32−1+i32−1+i32000000−1+i321−i32−1+i321−i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i32−1−i32−1−i321+i321+i320000−1−i321+i321+i321+i32−1−i32−1−i32000000−1−i321+i32−1−i321+i32−1−i321+i32
χ6144-4-400000000-22-22000022−22000000000000−2+2i3−2+2i32−2i32−2i3000000001−i3−1+i31−i3−1+i300002ζ5−2ζ23−2ζ5+2ζ23000000000000−2−2i3−2−2i32+2i32+2i3000000001+i3−1−i31+i3−1−i30000−2ζ7+2ζ132ζ7−2ζ13000000000000
χ6244-4-400000000-22-220000−2222000000000000−2+2i3−2+2i32−2i32−2i3000000001−i3−1+i31−i3−1+i30000−2ζ5+2ζ232ζ5−2ζ23000000000000−2−2i3−2−2i32+2i32+2i3000000001+i3−1−i31+i3−1−i300002ζ7−2ζ13−2ζ7+2ζ13000000000000
χ634-44-400000000-2-22200−2i22i200000000000000−2+2i32−2i3−2+2i32−2i3000000001−i31−i3−1+i3−1+i3002ζ5+2ζ23−2ζ5−2ζ2300000000000000−2−2i32+2i3−2−2i32+2i3000000001+i31+i3−1−i3−1−i3002ζ7+2ζ13−2ζ7−2ζ1300000000000000
χ644-44-400000000-2-222002i2−2i200000000000000−2+2i32−2i3−2+2i32−2i3000000001−i31−i3−1+i3−1+i300−2ζ5−2ζ232ζ5+2ζ2300000000000000−2−2i32+2i3−2−2i32+2i3000000001+i31+i3−1−i3−1−i300−2ζ7−2ζ132ζ7+2ζ1300000000000000
χ656-6-666-600-22-220000000000000000000000−3+3i33−3i33−3i3−3+3i3−3+3i33−3i3001−i3−1+i31−i3−1+i30000000000000000000000−3−3i33+3i33+3i3−3−3i3−3−3i33+3i3001+i3−1−i31+i3−1−i30000000000000000000000
χ666-6-66-66002-2-220000000000000000000000−3+3i33−3i33−3i3−3+3i33−3i3−3+3i300−1+i31−i31−i3−1+i30000000000000000000000−3−3i33+3i33+3i3−3−3i33+3i3−3−3i300−1−i31+i31+i3−1−i30000000000000000000000
χ6788-8-8000000002-22-2000000000000000000−4+4i3−4+4i34−4i34−4i300000000−1+i31−i3−1+i31−i3000000000000000000−4−4i3−4−4i34+4i34+4i300000000−1−i31+i3−1−i31+i3000000000000000000
χ688-88-80000000022-2-2000000000000000000−4+4i34−4i3−4+4i34−4i300000000−1+i3−1+i31−i31−i3000000000000000000−4−4i34+4i3−4−4i34+4i300000000−1−i3−1−i31+i31+i3000000000000000000
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
χ71111111-1-111111111-1-11111-1-1-1-1111-1-11-1-1−1−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32
χ72111111-1-111111111-1-1-1-1-1-1-1-1-1-111-111-111−1−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+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−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−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32
χ731111-1-11-1-1-11111111-111-1-111-1-1-1-111-1-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ741111-1-11-1-1-11111111-1-1-11111-1-1-1-1-1-111-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+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+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−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−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ751111-1-1-11-1-1111111-1111-1-1-1-111-1-11-11-1-11−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32
χ761111-1-1-11-1-1111111-11-1-111-1-111-1-1-11-111-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
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
χ78222222-2-22222-1-1-1-1-2-200001111-1-1000000−1−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+i30000−1−i32−1−i32−1−i32−1−i321+i321+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−i30000−1+i32−1+i32−1+i32−1+i321−i321−i32000000
χ792222-2-22-2-2-222-1-1-1-12-20000-1-11111000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i31+i300001+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i31−i300001−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ802222-2-2-22-2-222-1-1-1-1-22000011-1-111000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i3−1−i30000−1−i32−1−i321+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i3−1+i30000−1+i32−1+i321−i321−i32−1+i32−1+i32000000
χ812-2-222-2002-22-22-2-2200000000002-2000000−1−i31+i31+i3−1−i3−1−i31+i300−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i30000000000−1−i31+i3000000−1+i31−i31−i3−1+i3−1+i31−i300−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i30000000000−1+i31−i3000000
χ822-2-222-2002-22-2-111-1000000−i3i3−i3i3-11000000−1−i31+i31+i3−1−i3−1−i31+i300−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i32000000−3+i323−i32−3+i323−i321+i32−1−i32000000−1+i31−i31−i3−1+i3−1+i31−i300−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i320000003+i32−3−i323+i32−3−i321−i32−1+i32000000
χ832-2-222-2002-22-2-111-1000000i3−i3i3−i3-11000000−1−i31+i31+i3−1−i3−1−i31+i300−1−i31+i3−1−i31+i31+i32−1−i32−1−i321+i320000003−i32−3+i323−i32−3+i321+i32−1−i32000000−1+i31−i31−i3−1+i3−1+i31−i300−1+i31−i3−1+i31−i31−i32−1+i32−1+i321−i32000000−3−i323+i32−3−i323+i321−i32−1+i32000000
χ842-2-22-2200-222-22-2-220000000000-22000000−1−i31+i31+i3−1−i31+i3−1−i3001+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i300000000001+i3−1−i3000000−1+i31−i31−i3−1+i31−i3−1+i3001−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i300000000001−i3−1+i3000000
χ852-2-22-2200-222-2-111-1000000−i3i3i3−i31-1000000−1−i31+i31+i3−1−i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i32000000−3+i323−i323−i32−3+i32−1−i321+i32000000−1+i31−i31−i3−1+i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i320000003+i32−3−i32−3−i323+i32−1+i321−i32000000
χ862-2-22-2200-222-2-111-1000000i3−i3−i3i31-1000000−1−i31+i31+i3−1−i31+i3−1−i3001+i3−1−i3−1−i31+i31+i32−1−i32−1−i321+i320000003−i32−3+i32−3+i323−i32−1−i321+i32000000−1+i31−i31−i3−1+i31−i3−1+i3001−i3−1+i3−1+i31−i31−i32−1+i32−1+i321−i32000000−3−i323+i323+i32−3−i32−1+i321−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
χ89333333-3-3-1-1-1-10000111111000000-111-1-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000001+i32−1−i32−1−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+i320000001−i32−1+i32−1+i321−i321−i321−i32
χ90333333-3-3-1-1-1-1000011-1-1-1-10000001-1-1111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i320000−1−i32−1−i321+i321+i321+i321+i32000000−1−i321+i321+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−i32000000−1+i321−i321−i32−1+i32−1+i32−1+i32
χ913333-3-33-311-1-10000-1111-1-1000000-1-1111-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−1−i32−1−i321+i321+i3200001+i32−1−i32−1−i32−1−i321+i321+i320000001+i321+i32−1−i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−1+i32−1+i321−i321−i3200001−i32−1+i32−1+i32−1+i321−i321−i320000001−i321−i32−1+i32−1+i32−1+i321−i32
χ923333-3-33-311-1-10000-11-1-11100000011-1-1-11−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i32−1−i32−1−i321+i321+i3200001+i32−1−i321+i321+i32−1−i32−1−i32000000−1−i32−1−i321+i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i32−1+i32−1+i321−i321−i3200001−i32−1+i321−i321−i32−1+i32−1+i32000000−1+i32−1+i321−i321−i321−i32−1+i32
χ933333-3-3-3311-1-100001-111-1-1000000-11-11-11−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i32−1−i32−1−i321+i321+i320000−1−i321+i32−1−i32−1−i321+i321+i320000001+i32−1−i321+i32−1−i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i32−1+i32−1+i321−i321−i320000−1+i321−i32−1+i32−1+i321−i321−i320000001−i32−1+i321−i32−1+i321−i32−1+i32
χ943333-3-3-3311-1-100001-1-1-1110000001-11-11-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i32−3−3i32−1−i32−1−i321+i321+i320000−1−i321+i321+i321+i32−1−i32−1−i32000000−1−i321+i32−1−i321+i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i32−1+i32−1+i321−i321−i320000−1+i321−i321−i321−i32−1+i32−1+i32000000−1+i321−i32−1+i321−i32−1+i321−i32
χ9544-4-400000000-22-22000022−22000000000000−2−2i3−2−2i32+2i32+2i3000000001+i3−1−i31+i3−1−i30000−2ζ7+2ζ132ζ7−2ζ13000000000000−2+2i3−2+2i32−2i32−2i3000000001−i3−1+i31−i3−1+i300002ζ5−2ζ23−2ζ5+2ζ23000000000000
χ9644-4-400000000-22-220000−2222000000000000−2−2i3−2−2i32+2i32+2i3000000001+i3−1−i31+i3−1−i300002ζ7−2ζ13−2ζ7+2ζ13000000000000−2+2i3−2+2i32−2i32−2i3000000001−i3−1+i31−i3−1+i30000−2ζ5+2ζ232ζ5−2ζ23000000000000
χ974-44-400000000-2-22200−2i22i200000000000000−2−2i32+2i3−2−2i32+2i3000000001+i31+i3−1−i3−1−i3002ζ7+2ζ13−2ζ7−2ζ1300000000000000−2+2i32−2i3−2+2i32−2i3000000001−i31−i3−1+i3−1+i3002ζ5+2ζ23−2ζ5−2ζ2300000000000000
χ984-44-400000000-2-222002i2−2i200000000000000−2−2i32+2i3−2−2i32+2i3000000001+i31+i3−1−i3−1−i300−2ζ7−2ζ132ζ7+2ζ1300000000000000−2+2i32−2i3−2+2i32−2i3000000001−i31−i3−1+i3−1+i300−2ζ5−2ζ232ζ5+2ζ2300000000000000
χ996-6-666-600-22-220000000000000000000000−3−3i33+3i33+3i3−3−3i3−3−3i33+3i3001+i3−1−i31+i3−1−i30000000000000000000000−3+3i33−3i33−3i3−3+3i3−3+3i33−3i3001−i3−1+i31−i3−1+i30000000000000000000000
χ1006-6-66-66002-2-220000000000000000000000−3−3i33+3i33+3i3−3−3i33+3i3−3−3i300−1−i31+i31+i3−1−i30000000000000000000000−3+3i33−3i33−3i3−3+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
χ1028-88-80000000022-2-2000000000000000000−4−4i34+4i3−4−4i34+4i300000000−1−i3−1−i31+i31+i3000000000000000000−4+4i34−4i3−4+4i34−4i300000000−1+i3−1+i31−i31−i3000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.