Finite Group Databasebeta

← Group #13180885

Character table — Group #13180885

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222222233444446666666121218183366666669912121212121818181818181836365454448888888121216161616162424242424242448487272448888888121216161616162424242424242448487272
order1233466121244361212122446612121212222266466121244661212122446612121212223633126612121212361212126121266121212126636331266121212123612121261212661212121266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-11111-1-1-1-111111111111111111-1-11111-1-1-1-111111111111111111-1-11111-1-1-1-111111111111111111-1-11111-1-1-1-1
χ3111111111-1-111111-111-1-1-1-111-1-1111111111-1-111111-111-1-1-1-111-1-1111111111-1-111111-111-1-1-1-111-1-1111111111-1-111111-111-1-1-1-111-1-1
χ4111111111-1-111111-1-1-1-1-1-1-1-1-111111111111-1-111111-1-1-1-1-1-1-1-1-111111111111-1-111111-1-1-1-1-1-1-1-1-111111111111-1-111111-1-1-1-1-1-1-1-1-111
χ51111-111-1-11111-1-1-1-11-1-1-1111-11-11111-111-1-11111-1-1-1-11-1-1-1111-11-11111-111-1-11111-1-1-1-11-1-1-1111-11-11111-111-1-11111-1-1-1-11-1-1-1111-11-1
χ61111-111-1-11111-1-1-1-1-11-1-111-11-111111-111-1-11111-1-1-1-1-11-1-111-11-111111-111-1-11111-1-1-1-1-11-1-111-11-111111-111-1-11111-1-1-1-1-11-1-111-11-11
χ71111-111-1-1-1-111-1-1-111-111-1-11-1-111111-111-1-1-1-111-1-1-111-111-1-11-1-111111-111-1-1-1-111-1-1-111-111-1-11-1-111111-111-1-1-1-111-1-1-111-111-1-11-1-11
χ81111-111-1-1-1-111-1-1-11-1111-1-1-111-11111-111-1-1-1-111-1-1-11-1111-1-1-111-11111-111-1-1-1-111-1-1-11-1111-1-1-111-11111-111-1-1-1-111-1-1-11-1111-1-1-111-1
χ9222-12-12-1-122-1-12-1-1200-1-1-1-10000222-12-12-1-122-1-12-1-1200-1-1-1-10000222-12-12-1-122-1-12-1-1200-1-1-1-10000222-12-12-1-122-1-12-1-1200-1-1-1-10000
χ10222-12-12-1-1-2-2-1-12-1-1-20011110000222-12-12-1-1-2-2-1-12-1-1-20011110000222-12-12-1-1-2-2-1-12-1-1-20011110000222-12-12-1-1-2-2-1-12-1-1-20011110000
χ11222-1-2-121122-1-1-211-20011-1-10000222-1-2-121122-1-1-211-20011-1-10000222-1-2-121122-1-1-211-20011-1-10000222-1-2-121122-1-1-211-20011-1-10000
χ12222-1-2-1211-2-2-1-1-211200-1-1110000222-1-2-1211-2-2-1-1-211200-1-1110000222-1-2-1211-2-2-1-1-211200-1-1110000222-1-2-1211-2-2-1-1-211200-1-1110000
χ1322-1222-12200-1-1-1-1-10220000-1-10022-1222-12200-1-1-1-1-10220000-1-10022-1222-12200-1-1-1-1-10220000-1-10022-1222-12200-1-1-1-1-10220000-1-100
χ1422-1222-12200-1-1-1-1-10-2-20000110022-1222-12200-1-1-1-1-10-2-20000110022-1222-12200-1-1-1-1-10-2-20000110022-1222-12200-1-1-1-1-10-2-200001100
χ1522-12-22-1-2-200-1-111102-20000-110022-12-22-1-2-200-1-111102-20000-110022-12-22-1-2-200-1-111102-20000-110022-12-22-1-2-200-1-111102-20000-1100
χ1622-12-22-1-2-200-1-11110-2200001-10022-12-22-1-2-200-1-11110-2200001-10022-12-22-1-2-200-1-11110-2200001-10022-12-22-1-2-200-1-11110-2200001-100
χ172-2220-2-2002i−2i2-2000000002i−2i00002-2220-2-2002i−2i2-2000000002i−2i00002-2220-2-2002i−2i2-2000000002i−2i00002-2220-2-2002i−2i2-2000000002i−2i0000
χ182-2220-2-200−2i2i2-200000000−2i2i00002-2220-2-200−2i2i2-200000000−2i2i00002-2220-2-200−2i2i2-200000000−2i2i00002-2220-2-200−2i2i2-200000000−2i2i0000
χ192-22-101-23−32i−2i-1103−3000−i3i3−ii00002-22-101-23−32i−2i-1103−3000−i3i3−ii00002-22-101-23−32i−2i-1103−3000−i3i3−ii00002-22-101-23−32i−2i-1103−3000−i3i3−ii0000
χ202-22-101-23−3−2i2i-1103−3000i3−i3i−i00002-22-101-23−3−2i2i-1103−3000i3−i3i−i00002-22-101-23−3−2i2i-1103−3000i3−i3i−i00002-22-101-23−3−2i2i-1103−3000i3−i3i−i0000
χ212-22-101-2−332i−2i-110−33000i3−i3−ii00002-22-101-2−332i−2i-110−33000i3−i3−ii00002-22-101-2−332i−2i-110−33000i3−i3−ii00002-22-101-2−332i−2i-110−33000i3−i3−ii0000
χ222-22-101-2−33−2i2i-110−33000−i3i3i−i00002-22-101-2−33−2i2i-110−33000−i3i3i−i00002-22-101-2−33−2i2i-110−33000−i3i3i−i00002-22-101-2−33−2i2i-110−33000−i3i3i−i0000
χ2344-2-24-2-2-2-20011-2110000000000044-2-24-2-2-2-20011-2110000000000044-2-24-2-2-2-20011-2110000000000044-2-24-2-2-2-20011-21100000000000
χ2444-2-2-4-2-22200112-1-10000000000044-2-2-4-2-22200112-1-10000000000044-2-2-4-2-22200112-1-10000000000044-2-2-4-2-22200112-1-100000000000
χ254-4-240-420000-22000000000000004-4-240-420000-22000000000000004-4-240-420000-22000000000000004-4-240-420000-2200000000000000
χ264-4-2-202223−23001-10−33000000000004-4-2-202223−23001-10−33000000000004-4-2-202223−23001-10−33000000000004-4-2-202223−23001-10−3300000000000
χ274-4-2-2022−2323001-103−3000000000004-4-2-2022−2323001-103−3000000000004-4-2-2022−2323001-103−3000000000004-4-2-2022−2323001-103−300000000000
χ28111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2911111111111111111-1-11111-1-1-1-111111111111111111-1-11111-1-1-1-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ30111111111-1-111111-111-1-1-1-111-1-1111111111-1-111111-111-1-1-1-111-1-1−1+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+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−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ31111111111-1-111111-1-1-1-1-1-1-1-1-111111111111-1-111111-1-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ321111-111-1-11111-1-1-1-11-1-1-1111-11-11111-111-1-11111-1-1-1-11-1-1-1111-11-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ331111-111-1-11111-1-1-1-1-11-1-111-11-111111-111-1-11111-1-1-1-1-11-1-111-11-11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32
χ341111-111-1-1-1-111-1-1-111-111-1-11-1-111111-111-1-1-1-111-1-1-111-111-1-11-1-11−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32
χ351111-111-1-1-1-111-1-1-11-1111-1-1-111-11111-111-1-1-1-111-1-1-11-1111-1-1-111-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32
χ36222-12-12-1-122-1-12-1-1200-1-1-1-10000222-12-12-1-122-1-12-1-1200-1-1-1-10000−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3001−i321−i321−i321−i320000−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3001+i321+i321+i321+i320000
χ37222-12-12-1-1-2-2-1-12-1-1-20011110000222-12-12-1-1-2-2-1-12-1-1-20011110000−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i32−1+i31−i321−i321−i300−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i32−1−i31+i321+i321+i300−1−i32−1−i32−1−i32−1−i320000
χ38222-1-2-121122-1-1-211-20011-1-10000222-1-2-121122-1-1-211-20011-1-10000−1+i3−1+i3−1+i31−i321−i31−i32−1+i3−1+i32−1+i32−1+i3−1+i31−i321−i321−i3−1+i32−1+i321−i300−1+i32−1+i321−i321−i320000−1−i3−1−i3−1−i31+i321+i31+i32−1−i3−1−i32−1−i32−1−i3−1−i31+i321+i321+i3−1−i32−1−i321+i300−1−i32−1−i321+i321+i320000
χ39222-1-2-1211-2-2-1-1-211200-1-1110000222-1-2-1211-2-2-1-1-211200-1-1110000−1+i3−1+i3−1+i31−i321−i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i321−i3−1+i32−1+i32−1+i3001−i321−i32−1+i32−1+i320000−1−i3−1−i3−1−i31+i321+i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i321+i3−1−i32−1−i32−1−i3001+i321+i32−1−i32−1−i320000
χ4022-1222-12200-1-1-1-1-10220000-1-10022-1222-12200-1-1-1-1-10220000-1-100−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3001−i321−i321−i321−i321−i320−1+i3−1+i300001−i321−i3200−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3001+i321+i321+i321+i321+i320−1−i3−1−i300001+i321+i3200
χ4122-1222-12200-1-1-1-1-10-2-20000110022-1222-12200-1-1-1-1-10-2-200001100−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3001−i321−i321−i321−i321−i3201−i31−i30000−1+i32−1+i3200−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3001+i321+i321+i321+i321+i3201+i31+i30000−1−i32−1−i3200
χ4222-12-22-1-2-200-1-111102-20000-110022-12-22-1-2-200-1-111102-20000-1100−1+i3−1+i31−i32−1+i31−i3−1+i31−i321−i31−i3001−i321−i32−1+i32−1+i32−1+i320−1+i31−i300001−i32−1+i3200−1−i3−1−i31+i32−1−i31+i3−1−i31+i321+i31+i3001+i321+i32−1−i32−1−i32−1−i320−1−i31+i300001+i32−1−i3200
χ4322-12-22-1-2-200-1-11110-2200001-10022-12-22-1-2-200-1-11110-2200001-100−1+i3−1+i31−i32−1+i31−i3−1+i31−i321−i31−i3001−i321−i32−1+i32−1+i32−1+i3201−i3−1+i30000−1+i321−i3200−1−i3−1−i31+i32−1−i31+i3−1−i31+i321+i31+i3001+i321+i32−1−i32−1−i32−1−i3201+i3−1−i30000−1−i321+i3200
χ442-2220-2-2002i−2i2-2000000002i−2i00002-2220-2-2002i−2i2-2000000002i−2i0000−1+i31−i3−1+i3−1+i301−i31−i3002ζ7−2ζ7−1+i31−i3000000002ζ7−2ζ70000−1−i31+i3−1−i3−1−i301+i31+i3002ζ11−2ζ11−1−i31+i3000000002ζ11−2ζ110000
χ452-2220-2-200−2i2i2-200000000−2i2i00002-2220-2-200−2i2i2-200000000−2i2i0000−1+i31−i3−1+i3−1+i301−i31−i300−2ζ72ζ7−1+i31−i300000000−2ζ72ζ70000−1−i31+i3−1−i3−1−i301+i31+i300−2ζ112ζ11−1−i31+i300000000−2ζ112ζ110000
χ462-22-101-23−32i−2i-1103−3000−i3i3−ii00002-22-101-23−32i−2i-1103−3000−i3i3−ii0000−1+i31−i3−1+i31−i320−1+i321−i3−ζ7−2ζ11ζ7+2ζ112ζ7−2ζ71−i32−1+i320−ζ7−2ζ11ζ7+2ζ110003+i32−3−i32−ζ7ζ70000−1−i31+i3−1−i31+i320−1−i321+i32ζ7+ζ11−2ζ7−ζ112ζ11−2ζ111+i32−1−i3202ζ7+ζ11−2ζ7−ζ11000−3+i323−i32−ζ11ζ110000
χ472-22-101-23−3−2i2i-1103−3000i3−i3i−i00002-22-101-23−3−2i2i-1103−3000i3−i3i−i0000−1+i31−i3−1+i31−i320−1+i321−i3−ζ7−2ζ11ζ7+2ζ11−2ζ72ζ71−i32−1+i320−ζ7−2ζ11ζ7+2ζ11000−3−i323+i32ζ7−ζ70000−1−i31+i3−1−i31+i320−1−i321+i32ζ7+ζ11−2ζ7−ζ11−2ζ112ζ111+i32−1−i3202ζ7+ζ11−2ζ7−ζ110003−i32−3+i32ζ11−ζ110000
χ482-22-101-2−332i−2i-110−33000i3−i3−ii00002-22-101-2−332i−2i-110−33000i3−i3−ii0000−1+i31−i3−1+i31−i320−1+i321−i3ζ7+2ζ11−ζ7−2ζ112ζ7−2ζ71−i32−1+i320ζ7+2ζ11−ζ7−2ζ11000−3−i323+i32−ζ7ζ70000−1−i31+i3−1−i31+i320−1−i321+i3−2ζ7−ζ112ζ7+ζ112ζ11−2ζ111+i32−1−i320−2ζ7−ζ112ζ7+ζ110003−i32−3+i32−ζ11ζ110000
χ492-22-101-2−33−2i2i-110−33000−i3i3i−i00002-22-101-2−33−2i2i-110−33000−i3i3i−i0000−1+i31−i3−1+i31−i320−1+i321−i3ζ7+2ζ11−ζ7−2ζ11−2ζ72ζ71−i32−1+i320ζ7+2ζ11−ζ7−2ζ110003+i32−3−i32ζ7−ζ70000−1−i31+i3−1−i31+i320−1−i321+i3−2ζ7−ζ112ζ7+ζ11−2ζ112ζ111+i32−1−i320−2ζ7−ζ112ζ7+ζ11000−3+i323−i32ζ11−ζ110000
χ5044-2-24-2-2-2-20011-2110000000000044-2-24-2-2-2-20011-21100000000000−2+2i3−2+2i31−i31−i3−2+2i31−i31−i31−i31−i300−1+i32−1+i321−i3−1+i32−1+i3200000000000−2−2i3−2−2i31+i31+i3−2−2i31+i31+i31+i31+i300−1−i32−1−i321+i3−1−i32−1−i3200000000000
χ5144-2-2-4-2-22200112-1-10000000000044-2-2-4-2-22200112-1-100000000000−2+2i3−2+2i31−i31−i32−2i31−i31−i3−1+i3−1+i300−1+i32−1+i32−1+i31−i321−i3200000000000−2−2i3−2−2i31+i31+i32+2i31+i31+i3−1−i3−1−i300−1−i32−1−i32−1−i31+i321+i3200000000000
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χ534-4-2-202223−23001-10−33000000000004-4-2-202223−23001-10−3300000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−2ζ7−4ζ112ζ7+4ζ1100−1+i321−i320ζ7+2ζ11−ζ7−2ζ1100000000000−2−2i32+2i31+i31+i30−1−i3−1−i34ζ7+2ζ11−4ζ7−2ζ1100−1−i321+i320−2ζ7−ζ112ζ7+ζ1100000000000
χ544-4-2-2022−2323001-103−3000000000004-4-2-2022−2323001-103−300000000000−2+2i32−2i31−i31−i30−1+i3−1+i32ζ7+4ζ11−2ζ7−4ζ1100−1+i321−i320−ζ7−2ζ11ζ7+2ζ1100000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−4ζ7−2ζ114ζ7+2ζ1100−1−i321+i3202ζ7+ζ11−2ζ7−ζ1100000000000
χ55111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ5611111111111111111-1-11111-1-1-1-111111111111111111-1-11111-1-1-1-1−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ57111111111-1-111111-111-1-1-1-111-1-1111111111-1-111111-111-1-1-1-111-1-1−1−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−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+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ58111111111-1-111111-1-1-1-1-1-1-1-1-111111111111-1-111111-1-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ591111-111-1-11111-1-1-1-11-1-1-1111-11-11111-111-1-11111-1-1-1-11-1-1-1111-11-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ601111-111-1-11111-1-1-1-1-11-1-111-11-111111-111-1-11111-1-1-1-1-11-1-111-11-11−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32
χ611111-111-1-1-1-111-1-1-111-111-1-11-1-111111-111-1-1-1-111-1-1-111-111-1-11-1-11−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32
χ621111-111-1-1-1-111-1-1-11-1111-1-1-111-11111-111-1-1-1-111-1-1-11-1111-1-1-111-1−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32
χ63222-12-12-1-122-1-12-1-1200-1-1-1-10000222-12-12-1-122-1-12-1-1200-1-1-1-10000−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i31+i321+i32−1−i3001+i321+i321+i321+i320000−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i31−i321−i32−1+i3001−i321−i321−i321−i320000
χ64222-12-12-1-1-2-2-1-12-1-1-20011110000222-12-12-1-1-2-2-1-12-1-1-20011110000−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i32−1−i31+i321+i321+i300−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i32−1+i31−i321−i321−i300−1+i32−1+i32−1+i32−1+i320000
χ65222-1-2-121122-1-1-211-20011-1-10000222-1-2-121122-1-1-211-20011-1-10000−1−i3−1−i3−1−i31+i321+i31+i32−1−i3−1−i32−1−i32−1−i3−1−i31+i321+i321+i3−1−i32−1−i321+i300−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i31−i321−i31−i32−1+i3−1+i32−1+i32−1+i3−1+i31−i321−i321−i3−1+i32−1+i321−i300−1+i32−1+i321−i321−i320000
χ66222-1-2-1211-2-2-1-1-211200-1-1110000222-1-2-1211-2-2-1-1-211200-1-1110000−1−i3−1−i3−1−i31+i321+i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i321+i3−1−i32−1−i32−1−i3001+i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i31−i321−i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i321−i3−1+i32−1+i32−1+i3001−i321−i32−1+i32−1+i320000
χ6722-1222-12200-1-1-1-1-10220000-1-10022-1222-12200-1-1-1-1-10220000-1-100−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3001+i321+i321+i321+i321+i320−1−i3−1−i300001+i321+i3200−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3001−i321−i321−i321−i321−i320−1+i3−1+i300001−i321−i3200
χ6822-1222-12200-1-1-1-1-10-2-20000110022-1222-12200-1-1-1-1-10-2-200001100−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3001+i321+i321+i321+i321+i3201+i31+i30000−1−i32−1−i3200−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3001−i321−i321−i321−i321−i3201−i31−i30000−1+i32−1+i3200
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χ7022-12-22-1-2-200-1-11110-2200001-10022-12-22-1-2-200-1-11110-2200001-100−1−i3−1−i31+i32−1−i31+i3−1−i31+i321+i31+i3001+i321+i32−1−i32−1−i32−1−i3201+i3−1−i30000−1−i321+i3200−1+i3−1+i31−i32−1+i31−i3−1+i31−i321−i31−i3001−i321−i32−1+i32−1+i32−1+i3201−i3−1+i30000−1+i321−i3200
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χ1041212-6-612-6-6-6-60033-63300000000000-4-422-4222200-1-12-1-100000000000000000000000000000000000000000000000000000000000000000
χ1051212-6-6-12-6-66600336-3-300000000000-4-422422-2-200-1-1-21100000000000000000000000000000000000000000000000000000000000000000
χ10612-12-6120-1260000-6600000000000000-442-404-200002-200000000000000000000000000000000000000000000000000000000000000000000
χ10712-12-6-606663−63003-30−333300000000000-44220-2-2−232300-1103−300000000000000000000000000000000000000000000000000000000000000000
χ10812-12-6-6066−6363003-3033−3300000000000-44220-2-223−2300-110−3300000000000000000000000000000000000000000000000000000000000000000

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