Finite Group Databasebeta

← Group #11921255

Character table — Group #11921255

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444466661212333366666612121212121212121818181836364444888888161616161616161624242424484844448888881616161616161616242424244848
order12223446664412121212121288884422226446664412121212121288884436663121266612121212121212122424242412123666312126661212121212121212242424241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1
χ41111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ511-1-11-11-11-1i−i1-1ii−i−i11-1-1i−i11-1-11-11-11-1i−i1-1ii−i−i11-1-1i−i11-1-11-11-11-1i−i1-1ii−i−i11-1-1i−i11-1-11-11-11-1i−i1-1ii−i−i11-1-1i−i
χ611-1-11-11-11-1i−i1-1ii−i−i-1-111−ii11-1-11-11-11-1i−i1-1ii−i−i-1-111−ii11-1-11-11-11-1i−i1-1ii−i−i-1-111−ii11-1-11-11-11-1i−i1-1ii−i−i-1-111−ii
χ711-1-11-11-11-1−ii1-1−i−iii11-1-1−ii11-1-11-11-11-1−ii1-1−i−iii11-1-1−ii11-1-11-11-11-1−ii1-1−i−iii11-1-1−ii11-1-11-11-11-1−ii1-1−i−iii11-1-1−ii
χ811-1-11-11-11-1−ii1-1−i−iii-1-111i−i11-1-11-11-11-1−ii1-1−i−iii-1-111i−i11-1-11-11-11-1−ii1-1−i−iii-1-111i−i11-1-11-11-11-1−ii1-1−i−iii-1-111i−i
χ922222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-20000000000
χ102222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000
χ112222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000
χ122222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000
χ132222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000
χ1422-2-222-2-22-200-22000000000022-2-222-2-22-200-22000000000022-2-222-2-22-200-22000000000022-2-222-2-22-200-220000000000
χ1522-2-2-12-21-11001-13−3−3300000022-2-2-12-21-11001-13−3−3300000022-2-2-12-21-11001-13−3−3300000022-2-2-12-21-11001-13−3−33000000
χ1622-2-2-12-21-11001-1−333−300000022-2-2-12-21-11001-1−333−300000022-2-2-12-21-11001-1−333−300000022-2-2-12-21-11001-1−333−3000000
χ1722-2-2-1-221-112i−2i-11−i−iii00000022-2-2-1-221-112i−2i-11−i−iii00000022-2-2-1-221-112i−2i-11−i−iii00000022-2-2-1-221-112i−2i-11−i−iii000000
χ1822-2-2-1-221-11−2i2i-11ii−i−i00000022-2-2-1-221-11−2i2i-11ii−i−i00000022-2-2-1-221-11−2i2i-11ii−i−i00000022-2-2-1-221-11−2i2i-11ii−i−i000000
χ192-22-2200-2-2200000000−i2i2−i2i2002-22-2200-2-2200000000−i2i2−i2i2002-22-2200-2-2200000000−i2i2−i2i2002-22-2200-2-2200000000−i2i2−i2i200
χ202-22-2200-2-2200000000i2−i2i2−i2002-22-2200-2-2200000000i2−i2i2−i2002-22-2200-2-2200000000i2−i2i2−i2002-22-2200-2-2200000000i2−i2i2−i200
χ212-2-222002-2-200000000−i2i2i2−i2002-2-222002-2-200000000−i2i2i2−i2002-2-222002-2-200000000−i2i2i2−i2002-2-222002-2-200000000−i2i2i2−i200
χ222-2-222002-2-200000000i2−i2−i2i2002-2-222002-2-200000000i2−i2−i2i2002-2-222002-2-200000000i2−i2−i2i2002-2-222002-2-200000000i2−i2−i2i200
χ234-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-200000000000000
χ244-4-44-200-222000000000000004-4-44-200-222000000000000004-4-44-200-222000000000000004-4-44-200-22200000000000000
χ25111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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
χ271111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ281111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ2911-1-11-11-11-1i−i1-1ii−i−i11-1-1i−i11-1-11-11-11-1i−i1-1ii−i−i11-1-1i−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22
χ3011-1-11-11-11-1i−i1-1ii−i−i-1-111−ii11-1-11-11-11-1i−i1-1ii−i−i-1-111−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22ζ22
χ3111-1-11-11-11-1−ii1-1−i−iii11-1-1−ii11-1-11-11-11-1−ii1-1−i−iii11-1-1−ii−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22
χ3211-1-11-11-11-1−ii1-1−i−iii-1-111i−i11-1-11-11-11-1−ii1-1−i−iii-1-111i−i−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14−ζ14−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22−ζ22
χ3322222-2-222200-2-2000000000022222-2-222200-2-20000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i31+i30000000000
χ342222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−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+i32000000
χ352222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000−1+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+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−i32000000
χ362222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i3200−1+i32−1+i323+i32−3−i323+i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i3200−1−i32−1−i32−3+i323−i32−3+i323−i32000000
χ372222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i3200−1+i32−1+i32−3−i323+i32−3−i323+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i3200−1−i32−1−i323−i32−3+i323−i32−3+i32000000
χ3822-2-222-2-22-200-22000000000022-2-222-2-22-200-220000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3001−i3−1+i30000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3001+i3−1−i30000000000
χ3922-2-2-12-21-11001-13−3−3300000022-2-2-12-21-11001-13−3−33000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i321−i32−1+i3200−1+i321−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200−1−i321+i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000
χ4022-2-2-12-21-11001-1−333−300000022-2-2-12-21-11001-1−333−3000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i321−i32−1+i3200−1+i321−i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200−1−i321+i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000
χ4122-2-2-1-221-112i−2i-11−i−iii00000022-2-2-1-221-112i−2i-11−i−iii000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i321−i32−1+i322ζ14−2ζ141−i32−1+i32−ζ14−ζ14ζ14ζ14000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i321+i32−1−i322ζ22−2ζ221+i32−1−i32−ζ22−ζ22ζ22ζ22000000
χ4222-2-2-1-221-11−2i2i-11ii−i−i00000022-2-2-1-221-11−2i2i-11ii−i−i000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i321−i32−1+i32−2ζ142ζ141−i32−1+i32ζ14ζ14−ζ14−ζ14000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i321+i32−1−i32−2ζ222ζ221+i32−1−i32ζ22ζ22−ζ22−ζ22000000
χ432-22-2200-2-2200000000−i2i2−i2i2002-22-2200-2-2200000000−i2i2−i2i200−1+i31−i3−1+i31−i3−1+i3001−i31−i3−1+i300000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300−1−i31+i3−1−i31+i3−1−i3001+i31+i3−1−i300000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300
χ442-22-2200-2-2200000000i2−i2i2−i2002-22-2200-2-2200000000i2−i2i2−i200−1+i31−i3−1+i31−i3−1+i3001−i31−i3−1+i300000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300−1−i31+i3−1−i31+i3−1−i3001+i31+i3−1−i300000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300
χ452-2-222002-2-200000000−i2i2i2−i2002-2-222002-2-200000000−i2i2i2−i200−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i300000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i300000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300
χ462-2-222002-2-200000000i2−i2−i2i2002-2-222002-2-200000000i2−i2−i2i200−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i300000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i300000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300
χ474-44-4-20022-2000000000000004-44-4-20022-200000000000000−2+2i32−2i3−2+2i32−2i31−i300−1+i3−1+i31−i300000000000000−2−2i32+2i3−2−2i32+2i31+i300−1−i3−1−i31+i300000000000000
χ484-4-44-200-222000000000000004-4-44-200-22200000000000000−2+2i32−2i32−2i3−2+2i31−i3001−i3−1+i3−1+i300000000000000−2−2i32+2i32+2i3−2−2i31+i3001+i3−1−i3−1−i300000000000000
χ49111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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
χ511111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ521111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ5311-1-11-11-11-1i−i1-1ii−i−i11-1-1i−i11-1-11-11-11-1i−i1-1ii−i−i11-1-1i−i−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14−ζ14
χ5411-1-11-11-11-1i−i1-1ii−i−i-1-111−ii11-1-11-11-11-1i−i1-1ii−i−i-1-111−ii−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14ζ14
χ5511-1-11-11-11-1−ii1-1−i−iii11-1-1−ii11-1-11-11-11-1−ii1-1−i−iii11-1-1−ii−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14ζ14
χ5611-1-11-11-11-1−ii1-1−i−iii-1-111i−i11-1-11-11-11-1−ii1-1−i−iii-1-111i−i−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22−ζ22−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14−ζ14
χ5722222-2-222200-2-2000000000022222-2-222200-2-20000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i31+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i31−i30000000000
χ582222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+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−i32000000
χ592222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000−1−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−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+i32000000
χ602222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i3200−1−i32−1−i32−3+i323−i32−3+i323−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i3200−1+i32−1+i323+i32−3−i323+i32−3−i32000000
χ612222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i3200−1−i32−1−i323−i32−3+i323−i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i3200−1+i32−1+i32−3−i323+i32−3−i323+i32000000
χ6222-2-222-2-22-200-22000000000022-2-222-2-22-200-220000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3001+i3−1−i30000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3001−i3−1+i30000000000
χ6322-2-2-12-21-11001-13−3−3300000022-2-2-12-21-11001-13−3−33000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200−1−i321+i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i321−i32−1+i3200−1+i321−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000
χ6422-2-2-12-21-11001-1−333−300000022-2-2-12-21-11001-1−333−3000000−1−i3−1−i31+i31+i31+i32−1−i31+i3−1−i321+i32−1−i3200−1−i321+i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000−1+i3−1+i31−i31−i31−i32−1+i31−i3−1+i321−i32−1+i3200−1+i321−i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000
χ6522-2-2-1-221-112i−2i-11−i−iii00000022-2-2-1-221-112i−2i-11−i−iii000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i321+i32−1−i322ζ22−2ζ221+i32−1−i32−ζ22−ζ22ζ22ζ22000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i321−i32−1+i322ζ14−2ζ141−i32−1+i32−ζ14−ζ14ζ14ζ14000000
χ6622-2-2-1-221-11−2i2i-11ii−i−i00000022-2-2-1-221-11−2i2i-11ii−i−i000000−1−i3−1−i31+i31+i31+i321+i3−1−i3−1−i321+i32−1−i32−2ζ222ζ221+i32−1−i32ζ22ζ22−ζ22−ζ22000000−1+i3−1+i31−i31−i31−i321−i3−1+i3−1+i321−i32−1+i32−2ζ142ζ141−i32−1+i32ζ14ζ14−ζ14−ζ14000000
χ672-22-2200-2-2200000000−i2i2−i2i2002-22-2200-2-2200000000−i2i2−i2i200−1−i31+i3−1−i31+i3−1−i3001+i31+i3−1−i300000000ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300−1+i31−i3−1+i31−i3−1+i3001−i31−i3−1+i300000000ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300
χ682-22-2200-2-2200000000i2−i2i2−i2002-22-2200-2-2200000000i2−i2i2−i200−1−i31+i3−1−i31+i3−1−i3001+i31+i3−1−i300000000−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300−1+i31−i3−1+i31−i3−1+i3001−i31−i3−1+i300000000−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300
χ692-2-222002-2-200000000−i2i2i2−i2002-2-222002-2-200000000−i2i2i2−i200−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i300000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i300000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300
χ702-2-222002-2-200000000i2−i2−i2i2002-2-222002-2-200000000i2−i2−i2i200−1−i31+i31+i3−1−i3−1−i300−1−i31+i31+i300000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300−1+i31−i31−i3−1+i3−1+i300−1+i31−i31−i300000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300
χ714-44-4-20022-2000000000000004-44-4-20022-200000000000000−2−2i32+2i3−2−2i32+2i31+i300−1−i3−1−i31+i300000000000000−2+2i32−2i3−2+2i32−2i31−i300−1+i3−1+i31−i300000000000000
χ724-4-44-200-222000000000000004-4-44-200-22200000000000000−2−2i32+2i32+2i3−2−2i31+i3001+i3−1−i3−1−i300000000000000−2+2i32−2i32−2i3−2+2i31−i3001−i3−1+i3−1+i300000000000000
χ73333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ74333333333333333333-3-3-3-3-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000000000000000000000
χ753333333333-3-333-3-3-3-33333-3-3-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111000000000000000000000000000000000000000000000000
χ763333333333-3-333-3-3-3-3-3-3-3-333-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1000000000000000000000000000000000000000000000000
χ7733-3-33-33-33-33i−3i3-33i3i−3i−3i33-3-33i−3i-1-111-11-11-11−ii-11−i−iii-1-111−ii000000000000000000000000000000000000000000000000
χ7833-3-33-33-33-33i−3i3-33i3i−3i−3i-3-333−3i3i-1-111-11-11-11−ii-11−i−iii11-1-1i−i000000000000000000000000000000000000000000000000
χ7933-3-33-33-33-3−3i3i3-3−3i−3i3i3i33-3-3−3i3i-1-111-11-11-11i−i-11ii−i−i-1-111i−i000000000000000000000000000000000000000000000000
χ8033-3-33-33-33-3−3i3i3-3−3i−3i3i3i-3-3333i−3i-1-111-11-11-11i−i-11ii−i−i11-1-1−ii000000000000000000000000000000000000000000000000
χ8166666-6-666600-6-60000000000-2-2-2-2-222-2-2-200220000000000000000000000000000000000000000000000000000000000
χ826666-366-3-3-366-3-3-3-3-3-3000000-2-2-2-21-2-2111-2-2111111000000000000000000000000000000000000000000000000000000
χ836666-366-3-3-3-6-6-3-33333000000-2-2-2-21-2-21112211-1-1-1-1000000000000000000000000000000000000000000000000000000
χ846666-3-6-6-3-3-30033−3i33i3−3i33i3000000-2-2-2-212211100-1-1i3−i3i3−i3000000000000000000000000000000000000000000000000000000
χ856666-3-6-6-3-3-300333i3−3i33i3−3i3000000-2-2-2-212211100-1-1−i3i3−i3i3000000000000000000000000000000000000000000000000000000
χ8666-6-666-6-66-600-660000000000-2-222-2-222-22002-20000000000000000000000000000000000000000000000000000000000
χ8766-6-6-36-63-33003-333−33−3333000000-2-2221-22-11-100-11−333−3000000000000000000000000000000000000000000000000000000
χ8866-6-6-36-63-33003-3−333333−33000000-2-2221-22-11-100-113−3−33000000000000000000000000000000000000000000000000000000
χ8966-6-6-3-663-336i−6i-33−3i−3i3i3i000000-2-22212-2-11-1−2i2i1-1ii−i−i000000000000000000000000000000000000000000000000000000
χ9066-6-6-3-663-33−6i6i-333i3i−3i−3i000000-2-22212-2-11-12i−2i1-1−i−iii000000000000000000000000000000000000000000000000000000
χ916-66-6600-6-6600000000−3i23i2−3i23i200-22-22-20022-200000000i2−i2i2−i200000000000000000000000000000000000000000000000000
χ926-66-6600-6-66000000003i2−3i23i2−3i200-22-22-20022-200000000−i2i2−i2i200000000000000000000000000000000000000000000000000
χ936-6-666006-6-600000000−3i23i23i2−3i200-222-2-200-22200000000i2−i2−i2i200000000000000000000000000000000000000000000000000
χ946-6-666006-6-6000000003i2−3i2−3i23i200-222-2-200-22200000000−i2i2i2−i200000000000000000000000000000000000000000000000000
χ9512-1212-12-60066-600000000000000-44-44200-2-2200000000000000000000000000000000000000000000000000000000000000
χ9612-12-1212-600-66600000000000000-444-42002-2-200000000000000000000000000000000000000000000000000000000000000

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