Finite Group Databasebeta

← Group #11920910

Character table — Group #11920910

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122446666888812121212121216161616161624242424242411112244666688881212121212121616161616162424242424241111224466668888121212121212161616161616242424242424
order124424882244361212888888612242424242444883612126122424661212361212242424242424612242424246121212242436121261224246612123612122424242424246122424242461212122424
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
χ511-1-1-11i−i1-11-111-1-1i−iii−i−i-11ii−i−i1-1i−i1-111-1-1-11i−i1-11-111-1-1i−iii−i−i-11ii−i−i1-1i−i1-111-1-1-11i−i1-11-111-1-1i−iii−i−i-11ii−i−i1-1i−i1-1
χ611-1-1-11i−i1-11-111-1-1i−i−i−iii-11ii−i−i-11−ii-1111-1-1-11i−i1-11-111-1-1i−i−i−iii-11ii−i−i-11−ii-1111-1-1-11i−i1-11-111-1-1i−i−i−iii-11ii−i−i-11−ii-11
χ711-1-1-11−ii1-11-111-1-1−iiii−i−i-11−i−iii-11i−i-1111-1-1-11−ii1-11-111-1-1−iiii−i−i-11−i−iii-11i−i-1111-1-1-11−ii1-11-111-1-1−iiii−i−i-11−i−iii-11i−i-11
χ811-1-1-11−ii1-11-111-1-1−ii−i−iii-11−i−iii1-1−ii1-111-1-1-11−ii1-11-111-1-1−ii−i−iii-11−i−iii1-1−ii1-111-1-1-11−ii1-11-111-1-1−ii−i−iii-11−i−iii1-1−ii1-1
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
χ10222222-2-22222-1-1-1-1-2-20000-1-11111000000222222-2-22222-1-1-1-1-2-20000-1-11111000000222222-2-22222-1-1-1-1-2-20000-1-11111000000
χ112222-2-200-222-22222000000-2-200000000002222-2-200-222-22222000000-2-200000000002222-2-200-222-22222000000-2-20000000000
χ122222-2-200-222-2-1-1-1-100000011−i3i3−i3i30000002222-2-200-222-2-1-1-1-100000011−i3i3−i3i30000002222-2-200-222-2-1-1-1-100000011−i3i3−i3i3000000
χ132222-2-200-222-2-1-1-1-100000011i3−i3i3−i30000002222-2-200-222-2-1-1-1-100000011i3−i3i3−i30000002222-2-200-222-2-1-1-1-100000011i3−i3i3−i3000000
χ1422-2-22-200-2-22222-2-20000002-2000000000022-2-22-200-2-22222-2-20000002-2000000000022-2-22-200-2-22222-2-20000002-20000000000
χ1522-2-22-200-2-222-1-111000000-113−3−3300000022-2-22-200-2-222-1-111000000-113−3−3300000022-2-22-200-2-222-1-111000000-113−3−33000000
χ1622-2-22-200-2-222-1-111000000-11−333−300000022-2-22-200-2-222-1-111000000-11−333−300000022-2-22-200-2-222-1-111000000-11−333−3000000
χ1722-2-2-222i−2i2-22-2-1-1112i−2i00001-1−i−iii00000022-2-2-222i−2i2-22-2-1-1112i−2i00001-1−i−iii00000022-2-2-222i−2i2-22-2-1-1112i−2i00001-1−i−iii000000
χ1822-2-2-22−2i2i2-22-2-1-111−2i2i00001-1ii−i−i00000022-2-2-22−2i2i2-22-2-1-111−2i2i00001-1ii−i−i00000022-2-2-22−2i2i2-22-2-1-111−2i2i00001-1ii−i−i000000
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
χ2333-3-3-333i−3i-11-110000−iiii−i−i000000-11−ii1-133-3-3-333i−3i-11-110000−iiii−i−i000000-11−ii1-133-3-3-333i−3i-11-110000−iiii−i−i000000-11−ii1-1
χ2433-3-3-333i−3i-11-110000−ii−i−iii0000001-1i−i-1133-3-3-333i−3i-11-110000−ii−i−iii0000001-1i−i-1133-3-3-333i−3i-11-110000−ii−i−iii0000001-1i−i-11
χ2533-3-3-33−3i3i-11-110000i−iii−i−i0000001-1−ii-1133-3-3-33−3i3i-11-110000i−iii−i−i0000001-1−ii-1133-3-3-33−3i3i-11-110000i−iii−i−i0000001-1−ii-11
χ2633-3-3-33−3i3i-11-110000i−i−i−iii000000-11i−i1-133-3-3-33−3i3i-11-110000i−i−i−iii000000-11i−i1-133-3-3-33−3i3i-11-110000i−i−i−iii000000-11i−i1-1
χ274-44i−4i00000000-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000004-44i−4i00000000-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000004-44i−4i00000000-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ284-44i−4i00000000-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000004-44i−4i00000000-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000004-44i−4i00000000-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ294-4−4i4i00000000-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000004-4−4i4i00000000-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000004-4−4i4i00000000-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ304-4−4i4i00000000-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000004-4−4i4i00000000-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000004-4−4i4i00000000-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ316666-6-6002-2-2200000000000000000000006666-6-6002-2-2200000000000000000000006666-6-6002-2-220000000000000000000000
χ3266-6-66-60022-2-2000000000000000000000066-6-66-60022-2-2000000000000000000000066-6-66-60022-2-20000000000000000000000
χ338-88i−8i000000002-2−2i2i0000000000000000008-88i−8i000000002-2−2i2i0000000000000000008-88i−8i000000002-2−2i2i000000000000000000
χ348-8−8i8i000000002-22i−2i0000000000000000008-8−8i8i000000002-22i−2i0000000000000000008-8−8i8i000000002-22i−2i000000000000000000
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
χ3911-1-1-11i−i1-11-111-1-1i−iii−i−i-11ii−i−i1-1i−i1-1−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32
χ4011-1-1-11i−i1-11-111-1-1i−i−i−iii-11ii−i−i-11−ii-11−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ141−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ221+i32−1−i32
χ4111-1-1-11−ii1-11-111-1-1−iiii−i−i-11−i−iii-11i−i-11−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ14−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ141−i32−1+i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ22−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ221+i32−1−i32
χ4211-1-1-11−ii1-11-111-1-1−ii−i−iii-11−i−iii1-1−ii1-1−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ14−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ22−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−1−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
χ44222222-2-22222-1-1-1-1-2-20000-1-11111000000−1+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
χ452222-2-200-222-22222000000-2-20000000000−1+i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i30000001−i31−i30000000000−1−i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i30000001+i31+i30000000000
χ462222-2-200-222-2-1-1-1-100000011−i3i3−i3i3000000−1+i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−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+i3−1−i3−1−i31+i31+i321+i321+i321+i32000000−1−i32−1−i32−3+i323−i32−3+i323−i32000000
χ472222-2-200-222-2-1-1-1-100000011i3−i3i3−i3000000−1+i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−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+i3−1−i3−1−i31+i31+i321+i321+i321+i32000000−1−i32−1−i323−i32−3+i323−i32−3+i32000000
χ4822-2-22-200-2-22222-2-20000002-20000000000−1+i3−1+i31−i31−i3−1+i31−i3001−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000−1+i31−i30000000000−1−i3−1−i31+i31+i3−1−i31+i3001+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3000000−1−i31+i30000000000
χ4922-2-22-200-2-222-1-111000000-113−3−33000000−1+i3−1+i31−i31−i3−1+i31−i3001−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i320000001−i32−1+i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000−1−i3−1−i31+i31+i3−1−i31+i3001+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i320000001+i32−1−i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000
χ5022-2-22-200-2-222-1-111000000-11−333−3000000−1+i3−1+i31−i31−i3−1+i31−i3001−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i320000001−i32−1+i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000−1−i3−1−i31+i31+i3−1−i31+i3001+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i320000001+i32−1−i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000
χ5122-2-2-222i−2i2-22-2-1-1112i−2i00001-1−i−iii000000−1+i3−1+i31−i31−i31−i3−1+i32ζ14−2ζ14−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i322ζ14−2ζ140000−1+i321−i32−ζ14−ζ14ζ14ζ14000000−1−i3−1−i31+i31+i31+i3−1−i32ζ22−2ζ22−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i322ζ22−2ζ220000−1−i321+i32−ζ22−ζ22ζ22ζ22000000
χ5222-2-2-22−2i2i2-22-2-1-111−2i2i00001-1ii−i−i000000−1+i3−1+i31−i31−i31−i3−1+i3−2ζ142ζ14−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i32−2ζ142ζ140000−1+i321−i32ζ14ζ14−ζ14−ζ14000000−1−i3−1−i31+i31+i31+i3−1−i3−2ζ222ζ22−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i32−2ζ222ζ220000−1−i321+i32ζ22ζ22−ζ22−ζ22000000
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
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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
χ7311-1-1-11i−i1-11-111-1-1i−iii−i−i-11ii−i−i1-1i−i1-1−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32ζ14−ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32
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χ7611-1-1-11−ii1-11-111-1-1−ii−i−iii-11−i−iii1-1−ii1-1−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ22−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−ζ22ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ14−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−ζ14ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32−ζ14ζ14−1+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
χ78222222-2-22222-1-1-1-1-2-20000-1-11111000000−1−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
χ792222-2-200-222-22222000000-2-20000000000−1−i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i30000001+i31+i30000000000−1+i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i30000001−i31−i30000000000
χ802222-2-200-222-2-1-1-1-100000011−i3i3−i3i3000000−1−i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+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−i3−1+i3−1+i31−i31−i321−i321−i321−i32000000−1+i32−1+i323+i32−3−i323+i32−3−i32000000
χ812222-2-200-222-2-1-1-1-100000011i3−i3i3−i3000000−1−i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+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−i3−1+i3−1+i31−i31−i321−i321−i321−i32000000−1+i32−1+i32−3−i323+i32−3−i323+i32000000
χ8222-2-22-200-2-22222-2-20000002-20000000000−1−i3−1−i31+i31+i3−1−i31+i3001+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3000000−1−i31+i30000000000−1+i3−1+i31−i31−i3−1+i31−i3001−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000−1+i31−i30000000000
χ8322-2-22-200-2-222-1-111000000-113−3−33000000−1−i3−1−i31+i31+i3−1−i31+i3001+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i320000001+i32−1−i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000−1+i3−1+i31−i31−i3−1+i31−i3001−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i320000001−i32−1+i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000
χ8422-2-22-200-2-222-1-111000000-11−333−3000000−1−i3−1−i31+i31+i3−1−i31+i3001+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i320000001+i32−1−i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000−1+i3−1+i31−i31−i3−1+i31−i3001−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i320000001−i32−1+i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000
χ8522-2-2-222i−2i2-22-2-1-1112i−2i00001-1−i−iii000000−1−i3−1−i31+i31+i31+i3−1−i32ζ22−2ζ22−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i322ζ22−2ζ220000−1−i321+i32−ζ22−ζ22ζ22ζ22000000−1+i3−1+i31−i31−i31−i3−1+i32ζ14−2ζ14−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i322ζ14−2ζ140000−1+i321−i32−ζ14−ζ14ζ14ζ14000000
χ8622-2-2-22−2i2i2-22-2-1-111−2i2i00001-1ii−i−i000000−1−i3−1−i31+i31+i31+i3−1−i3−2ζ222ζ22−1−i31+i3−1−i31+i31+i321+i32−1−i32−1−i32−2ζ222ζ220000−1−i321+i32ζ22ζ22−ζ22−ζ22000000−1+i3−1+i31−i31−i31−i3−1+i3−2ζ142ζ14−1+i31−i3−1+i31−i31−i321−i32−1+i32−1+i32−2ζ142ζ140000−1+i321−i32ζ14ζ14−ζ14−ζ14000000
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
χ9133-3-3-333i−3i-11-110000−iiii−i−i000000-11−ii1-1−3−3i32−3−3i323+3i323+3i323+3i32−3−3i323ζ22−3ζ221+i32−1−i321+i32−1−i320000−ζ22ζ22ζ22ζ22−ζ22−ζ220000001+i32−1−i32−ζ22ζ22−1−i321+i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i323ζ14−3ζ141−i32−1+i321−i32−1+i320000−ζ14ζ14ζ14ζ14−ζ14−ζ140000001−i32−1+i32−ζ14ζ14−1+i321−i32
χ9233-3-3-333i−3i-11-110000−ii−i−iii0000001-1i−i-11−3−3i32−3−3i323+3i323+3i323+3i32−3−3i323ζ22−3ζ221+i32−1−i321+i32−1−i320000−ζ22ζ22−ζ22−ζ22ζ22ζ22000000−1−i321+i32ζ22−ζ221+i32−1−i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i323ζ14−3ζ141−i32−1+i321−i32−1+i320000−ζ14ζ14−ζ14−ζ14ζ14ζ14000000−1+i321−i32ζ14−ζ141−i32−1+i32
χ9333-3-3-33−3i3i-11-110000i−iii−i−i0000001-1−ii-11−3−3i32−3−3i323+3i323+3i323+3i32−3−3i32−3ζ223ζ221+i32−1−i321+i32−1−i320000ζ22−ζ22ζ22ζ22−ζ22−ζ22000000−1−i321+i32−ζ22ζ221+i32−1−i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i32−3ζ143ζ141−i32−1+i321−i32−1+i320000ζ14−ζ14ζ14ζ14−ζ14−ζ14000000−1+i321−i32−ζ14ζ141−i32−1+i32
χ9433-3-3-33−3i3i-11-110000i−i−i−iii000000-11i−i1-1−3−3i32−3−3i323+3i323+3i323+3i32−3−3i32−3ζ223ζ221+i32−1−i321+i32−1−i320000ζ22−ζ22−ζ22−ζ22ζ22ζ220000001+i32−1−i32ζ22−ζ22−1−i321+i32−3+3i32−3+3i323−3i323−3i323−3i32−3+3i32−3ζ143ζ141−i32−1+i321−i32−1+i320000ζ14−ζ14−ζ14−ζ14ζ14ζ140000001−i32−1+i32ζ14−ζ14−1+i321−i32
χ954-44i−4i00000000-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−2−2i32+2i34ζ22−4ζ22000000001+i3−1−i32ζ22−2ζ22002ζ13−2ζ13−2ζ72ζ7000000000000−2+2i32−2i34ζ14−4ζ14000000001−i3−1+i32ζ14−2ζ14002ζ5−2ζ5−2ζ232ζ23000000000000
χ964-44i−4i00000000-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−2−2i32+2i34ζ22−4ζ22000000001+i3−1−i32ζ22−2ζ2200−2ζ132ζ132ζ7−2ζ7000000000000−2+2i32−2i34ζ14−4ζ14000000001−i3−1+i32ζ14−2ζ1400−2ζ52ζ52ζ23−2ζ23000000000000
χ974-4−4i4i00000000-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−2−2i32+2i3−4ζ224ζ22000000001+i3−1−i3−2ζ222ζ2200−2ζ72ζ72ζ13−2ζ13000000000000−2+2i32−2i3−4ζ144ζ14000000001−i3−1+i3−2ζ142ζ1400−2ζ232ζ232ζ5−2ζ5000000000000
χ984-4−4i4i00000000-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−2−2i32+2i3−4ζ224ζ22000000001+i3−1−i3−2ζ222ζ22002ζ7−2ζ7−2ζ132ζ13000000000000−2+2i32−2i3−4ζ144ζ14000000001−i3−1+i3−2ζ142ζ14002ζ23−2ζ23−2ζ52ζ5000000000000
χ996666-6-6002-2-220000000000000000000000−3−3i3−3−3i3−3−3i3−3−3i33+3i33+3i300−1−i31+i31+i3−1−i30000000000000000000000−3+3i3−3+3i3−3+3i3−3+3i33−3i33−3i300−1+i31−i31−i3−1+i30000000000000000000000
χ10066-6-66-60022-2-20000000000000000000000−3−3i3−3−3i33+3i33+3i3−3−3i33+3i300−1−i3−1−i31+i31+i30000000000000000000000−3+3i3−3+3i33−3i33−3i3−3+3i33−3i300−1+i3−1+i31−i31−i30000000000000000000000
χ1018-88i−8i000000002-2−2i2i000000000000000000−4−4i34+4i38ζ22−8ζ2200000000−1−i31+i3−2ζ222ζ22000000000000000000−4+4i34−4i38ζ14−8ζ1400000000−1+i31−i3−2ζ142ζ14000000000000000000
χ1028-8−8i8i000000002-22i−2i000000000000000000−4−4i34+4i3−8ζ228ζ2200000000−1−i31+i32ζ22−2ζ22000000000000000000−4+4i34−4i3−8ζ148ζ1400000000−1+i31−i32ζ14−2ζ14000000000000000000

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