Finite Group Databasebeta

← Group #10591879

Character table — Group #10591879

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222244444444888888121212122424111122222244444444888888121212122424111122222244444444888888121212122424
order122234466688121224242424246612122488243666312126662424121224242424612661212612242461236663121266624241212242424246126612126122424612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-111-1-1-1-11-111-1-111-1-1-111111111111-1-111-1-1-1-11-111-1-111-1-1-111111111111-1-111-1-1-1-11-111-1-111-1-1-11
χ61111111111-1-111-1-1-1-11-111-1-1-1-1111-11111111111-1-111-1-1-1-11-111-1-1-1-1111-11111111111-1-111-1-1-1-11-111-1-1-1-1111-1
χ71111111111-1-111-1-1-1-1-11-1-11111-1-11-11111111111-1-111-1-1-1-1-11-1-11111-1-11-11111111111-1-111-1-1-1-1-11-1-11111-1-11-1
χ81111111111-1-111-1-1-1-1-11-1-111-1-111-111111111111-1-111-1-1-1-1-11-1-111-1-111-111111111111-1-111-1-1-1-1-11-1-111-1-111-11
χ922222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-2000022222-2-222200-2-200000000002-20000
χ1022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-22000022222-2-222200-2-20000000000-220000
χ112222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000
χ122222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-21111000000
χ132222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-1110000002222-122-1-1-1-2-2-1-111112-2-1-111000000
χ142222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-10000002222-122-1-1-1-2-2-1-11111-2211-1-1000000
χ152-22-222-2-22-22i−2i2-22i2i−2i−2i0000000000002-22-222-2-22-22i−2i2-22i2i−2i−2i0000000000002-22-222-2-22-22i−2i2-22i2i−2i−2i000000000000
χ162-22-222-2-22-2−2i2i2-2−2i−2i2i2i0000000000002-22-222-2-22-2−2i2i2-2−2i−2i2i2i0000000000002-22-222-2-22-2−2i2i2-2−2i−2i2i2i000000000000
χ172-22-22-22-22-200-220000000000002-2002-22-22-22-22-200-220000000000002-2002-22-22-22-22-200-220000000000002-200
χ182-22-22-22-22-200-22000000000000-22002-22-22-22-22-200-22000000000000-22002-22-22-22-22-200-22000000000000-2200
χ192-22-2-12-21-112i−2i-11−i−iii00−i3i33−30000002-22-2-12-21-112i−2i-11−i−iii00−i3i33−30000002-22-2-12-21-112i−2i-11−i−iii00−i3i33−3000000
χ202-22-2-12-21-112i−2i-11−i−iii00i3−i3−330000002-22-2-12-21-112i−2i-11−i−iii00i3−i3−330000002-22-2-12-21-112i−2i-11−i−iii00i3−i3−33000000
χ212-22-2-12-21-11−2i2i-11ii−i−i00−i3i3−330000002-22-2-12-21-11−2i2i-11ii−i−i00−i3i3−330000002-22-2-12-21-11−2i2i-11ii−i−i00−i3i3−33000000
χ222-22-2-12-21-11−2i2i-11ii−i−i00i3−i33−30000002-22-2-12-21-11−2i2i-11ii−i−i00i3−i33−30000002-22-2-12-21-11−2i2i-11ii−i−i00i3−i33−3000000
χ234444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-2002200000000000000004444-2-4-4-2-2-200220000000000000000
χ2444-4-4400-4-440000000000000000000044-4-4400-4-440000000000000000000044-4-4400-4-4400000000000000000000
χ2544-4-4-20022-20000i6−i6i6−i600000000000044-4-4-20022-20000i6−i6i6−i600000000000044-4-4-20022-20000i6−i6i6−i6000000000000
χ2644-4-4-20022-20000−i6i6−i6i600000000000044-4-4-20022-20000−i6i6−i6i600000000000044-4-4-20022-20000−i6i6−i6i6000000000000
χ274-44-4-2-442-22002-200000000000000004-44-4-2-442-22002-200000000000000004-44-4-2-442-22002-20000000000000000
χ284-4-444004-4-4000000000000000000004-4-444004-4-4000000000000000000004-4-444004-4-400000000000000000000
χ294-4-44-200-22200006−6−660000000000004-4-44-200-22200006−6−660000000000004-4-44-200-22200006−6−66000000000000
χ304-4-44-200-2220000−666−60000000000004-4-44-200-2220000−666−60000000000004-4-44-200-2220000−666−6000000000000
χ31111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ32111111111111111111111111-1-1-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ33111111111111111111-1-1-1-1-1-11111-1-1−1+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−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−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ34111111111111111111-1-1-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ351111111111-1-111-1-1-1-11-111-1-111-1-1-11−1+i32−1+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+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ361111111111-1-111-1-1-1-11-111-1-1-1-1111-1−1+i32−1+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+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−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−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ371111111111-1-111-1-1-1-1-11-1-11111-1-11-1−1+i32−1+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−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−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+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32
χ381111111111-1-111-1-1-1-1-11-1-111-1-111-11−1+i32−1+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−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32
χ3922222-2-222200-2-200000000002-20000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i31−i30000000000−1+i31−i30000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i31+i30000000000−1−i31+i30000
χ4022222-2-222200-2-20000000000-220000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i31−i300000000001−i3−1+i30000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i31+i300000000001+i3−1−i30000
χ412222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000
χ422222-122-1-1-122-1-1-1-1-1-1-2-21111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000
χ432222-122-1-1-1-2-2-1-111112-2-1-111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i31−i31−i321−i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i31+i31+i321+i32−1−i32−1−i32000000
χ442222-122-1-1-1-2-2-1-11111-2211-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i32−1+i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i32−1−i321+i321+i32000000
χ452-22-222-2-22-22i−2i2-22i2i−2i−2i000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i32ζ14−2ζ14−1+i31−i32ζ142ζ14−2ζ14−2ζ14000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i32ζ22−2ζ22−1−i31+i32ζ222ζ22−2ζ22−2ζ22000000000000
χ462-22-222-2-22-2−2i2i2-2−2i−2i2i2i000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−2ζ142ζ14−1+i31−i3−2ζ14−2ζ142ζ142ζ14000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−2ζ222ζ22−1−i31+i3−2ζ22−2ζ222ζ222ζ22000000000000
χ472-22-22-22-22-200-220000000000002-200−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3001−i3−1+i3000000000000−1+i31−i300−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3001+i3−1−i3000000000000−1−i31+i300
χ482-22-22-22-22-200-22000000000000-2200−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3001−i3−1+i30000000000001−i3−1+i300−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3001+i3−1−i30000000000001+i3−1−i300
χ492-22-2-12-21-112i−2i-11−i−iii00−i3i33−3000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i322ζ14−2ζ141−i32−1+i32−ζ14−ζ14ζ14ζ14003+i32−3−i32−ζ14−2ζ22ζ14+2ζ22000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i322ζ22−2ζ221+i32−1−i32−ζ22−ζ22ζ22ζ2200−3+i323−i322ζ14+ζ22−2ζ14−ζ22000000
χ502-22-2-12-21-112i−2i-11−i−iii00i3−i3−33000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i322ζ14−2ζ141−i32−1+i32−ζ14−ζ14ζ14ζ1400−3−i323+i32ζ14+2ζ22−ζ14−2ζ22000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i322ζ22−2ζ221+i32−1−i32−ζ22−ζ22ζ22ζ22003−i32−3+i32−2ζ14−ζ222ζ14+ζ22000000
χ512-22-2-12-21-11−2i2i-11ii−i−i00−i3i3−33000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i32−2ζ142ζ141−i32−1+i32ζ14ζ14−ζ14−ζ14003+i32−3−i32ζ14+2ζ22−ζ14−2ζ22000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i32−2ζ222ζ221+i32−1−i32ζ22ζ22−ζ22−ζ2200−3+i323−i32−2ζ14−ζ222ζ14+ζ22000000
χ522-22-2-12-21-11−2i2i-11ii−i−i00i3−i33−3000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i32−2ζ142ζ141−i32−1+i32ζ14ζ14−ζ14−ζ1400−3−i323+i32−ζ14−2ζ22ζ14+2ζ22000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i32−2ζ222ζ221+i32−1−i32ζ22ζ22−ζ22−ζ22003−i32−3+i322ζ14+ζ22−2ζ14−ζ22000000
χ534444-2-4-4-2-2-200220000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i31−i31−i300−1+i3−1+i30000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i31+i31+i300−1−i3−1−i30000000000000000
χ5444-4-4400-4-4400000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3002−2i32−2i3−2+2i300000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3002+2i32+2i3−2−2i300000000000000000000
χ5544-4-4-20022-20000i6−i6i6−i6000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i3−1+i31−i30000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i3−1−i31+i30000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23000000000000
χ5644-4-4-20022-20000−i6i6−i6i6000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i3−1+i31−i30000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i3−1−i31+i300002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23000000000000
χ574-44-4-2-442-22002-20000000000000000−2+2i32−2i3−2+2i32−2i31−i32−2i3−2+2i3−1+i31−i3−1+i300−1+i31−i30000000000000000−2−2i32+2i3−2−2i32+2i31+i32+2i3−2−2i3−1−i31+i3−1−i300−1−i31+i30000000000000000
χ584-4-444004-4-400000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i300−2+2i32−2i32−2i300000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i300−2−2i32+2i32+2i300000000000000000000
χ594-4-44-200-22200006−6−66000000000000−2+2i32−2i32−2i3−2+2i31−i3001−i3−1+i3−1+i30000ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000−2−2i32+2i32+2i3−2−2i31+i3001+i3−1−i3−1−i30000−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000
χ604-4-44-200-2220000−666−6000000000000−2+2i32−2i32−2i3−2+2i31−i3001−i3−1+i3−1+i30000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23000000000000−2−2i32+2i32+2i3−2−2i31+i3001+i3−1−i3−1−i300002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23000000000000
χ61111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ62111111111111111111111111-1-1-1-1-1-1−1−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−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ63111111111111111111-1-1-1-1-1-11111-1-1−1−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+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+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ64111111111111111111-1-1-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ651111111111-1-111-1-1-1-11-111-1-111-1-1-11−1−i32−1−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−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ661111111111-1-111-1-1-1-11-111-1-1-1-1111-1−1−i32−1−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−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+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+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ671111111111-1-111-1-1-1-1-11-1-11111-1-11-1−1−i32−1−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+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+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−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32
χ681111111111-1-111-1-1-1-1-11-1-111-1-111-11−1−i32−1−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+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ6922222-2-222200-2-200000000002-20000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i31+i30000000000−1−i31+i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i31−i30000000000−1+i31−i30000
χ7022222-2-222200-2-20000000000-220000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i31+i300000000001+i3−1−i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i31−i300000000001−i3−1+i30000
χ712222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000
χ722222-122-1-1-122-1-1-1-1-1-1-2-21111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000
χ732222-122-1-1-1-2-2-1-111112-2-1-111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i31+i31+i321+i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i31−i31−i321−i32−1+i32−1+i32000000
χ742222-122-1-1-1-2-2-1-11111-2211-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i3−1−i3−1−i32−1−i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i3−1+i3−1+i32−1+i321−i321−i32000000
χ752-22-222-2-22-22i−2i2-22i2i−2i−2i000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i32ζ22−2ζ22−1−i31+i32ζ222ζ22−2ζ22−2ζ22000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i32ζ14−2ζ14−1+i31−i32ζ142ζ14−2ζ14−2ζ14000000000000
χ762-22-222-2-22-2−2i2i2-2−2i−2i2i2i000000000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−2ζ222ζ22−1−i31+i3−2ζ22−2ζ222ζ222ζ22000000000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−2ζ142ζ14−1+i31−i3−2ζ14−2ζ142ζ142ζ14000000000000
χ772-22-22-22-22-200-220000000000002-200−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3001+i3−1−i3000000000000−1−i31+i300−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3001−i3−1+i3000000000000−1+i31−i300
χ782-22-22-22-22-200-22000000000000-2200−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3001+i3−1−i30000000000001+i3−1−i300−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3001−i3−1+i30000000000001−i3−1+i300
χ792-22-2-12-21-112i−2i-11−i−iii00−i3i33−3000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i322ζ22−2ζ221+i32−1−i32−ζ22−ζ22ζ22ζ2200−3+i323−i322ζ14+ζ22−2ζ14−ζ22000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i322ζ14−2ζ141−i32−1+i32−ζ14−ζ14ζ14ζ14003+i32−3−i32−ζ14−2ζ22ζ14+2ζ22000000
χ802-22-2-12-21-112i−2i-11−i−iii00i3−i3−33000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i322ζ22−2ζ221+i32−1−i32−ζ22−ζ22ζ22ζ22003−i32−3+i32−2ζ14−ζ222ζ14+ζ22000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i322ζ14−2ζ141−i32−1+i32−ζ14−ζ14ζ14ζ1400−3−i323+i32ζ14+2ζ22−ζ14−2ζ22000000
χ812-22-2-12-21-11−2i2i-11ii−i−i00−i3i3−33000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i32−2ζ222ζ221+i32−1−i32ζ22ζ22−ζ22−ζ2200−3+i323−i32−2ζ14−ζ222ζ14+ζ22000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i32−2ζ142ζ141−i32−1+i32ζ14ζ14−ζ14−ζ14003+i32−3−i32ζ14+2ζ22−ζ14−2ζ22000000
χ822-22-2-12-21-11−2i2i-11ii−i−i00i3−i33−3000000−1−i31+i3−1−i31+i31+i32−1−i31+i3−1−i321+i32−1−i32−2ζ222ζ221+i32−1−i32ζ22ζ22−ζ22−ζ22003−i32−3+i322ζ14+ζ22−2ζ14−ζ22000000−1+i31−i3−1+i31−i31−i32−1+i31−i3−1+i321−i32−1+i32−2ζ142ζ141−i32−1+i32ζ14ζ14−ζ14−ζ1400−3−i323+i32−ζ14−2ζ22ζ14+2ζ22000000
χ834444-2-4-4-2-2-200220000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i31+i31+i300−1−i3−1−i30000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i31−i31−i300−1+i3−1+i30000000000000000
χ8444-4-4400-4-4400000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3002+2i32+2i3−2−2i300000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3002−2i32−2i3−2+2i300000000000000000000
χ8544-4-4-20022-20000i6−i6i6−i6000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i3−1−i31+i30000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i3−1+i31−i30000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23000000000000
χ8644-4-4-20022-20000−i6i6−i6i6000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i3−1−i31+i300002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i3−1+i31−i30000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23000000000000
χ874-44-4-2-442-22002-20000000000000000−2−2i32+2i3−2−2i32+2i31+i32+2i3−2−2i3−1−i31+i3−1−i300−1−i31+i30000000000000000−2+2i32−2i3−2+2i32−2i31−i32−2i3−2+2i3−1+i31−i3−1+i300−1+i31−i30000000000000000
χ884-4-444004-4-400000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i300−2−2i32+2i32+2i300000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i300−2+2i32−2i32−2i300000000000000000000
χ894-4-44-200-22200006−6−66000000000000−2−2i32+2i32+2i3−2−2i31+i3001+i3−1−i3−1−i30000−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ232ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000−2+2i32−2i32−2i3−2+2i31−i3001−i3−1+i3−1+i30000ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000
χ904-4-44-200-2220000−666−6000000000000−2−2i32+2i32+2i3−2−2i31+i3001+i3−1−i3−1−i300002ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23000000000000−2+2i32−2i32−2i3−2+2i31−i3001−i3−1+i3−1+i30000−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23000000000000

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