Finite Group Databasebeta

← Group #13180895

Character table — Group #13180895

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222444444666666688888888121216161616181818242424242424242424242424243636547272112222444444666666688888888121216161616181818242424242424242424242424243636547272
order123366333666444121212123333666612123366224121212121212121212121212126621212226666666666444121212126666666612126666224121212121212121212121212126621212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-111-1-1111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111111111111111-111-1-1111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-1
χ31111111111111-11-1-11111111111111111-11-11-1-111-1-1-1-11111-11-1-1-11111111111111-11-1-11111111111111111-11-11-1-111-1-1-1-11111-11-1-1-1
χ41111111111111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111−1−i32−1+i321−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32
χ61111111−1−i32−1+i321−1−i32−1+i3211-111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321-1-11−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1-11+i321−i321111111−1−i32−1+i321−1−i32−1+i3211-111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321-1-11−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1-11+i321−i32
χ71111111−1−i32−1+i321−1−i32−1+i321-11-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11-111+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-11+i321−i321111111−1−i32−1+i321−1−i32−1+i321-11-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11-111+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-11+i321−i32
χ81111111−1−i32−1+i321−1−i32−1+i321-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1111+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11−1−i32−1+i321111111−1−i32−1+i321−1−i32−1+i321-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1111+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11−1−i32−1+i32
χ91111111−1+i32−1−i321−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32
χ101111111−1+i32−1−i321−1+i32−1−i3211-111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321-1-11−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1-11−i321+i321111111−1+i32−1−i321−1+i32−1−i3211-111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321-1-11−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1-11−i321+i32
χ111111111−1+i32−1−i321−1+i32−1−i321-11-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11-111−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-11−i321+i321111111−1+i32−1−i321−1+i32−1−i321-11-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11-111−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-11−i321+i32
χ121111111−1+i32−1−i321−1+i32−1−i321-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1111−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11−1+i32−1−i321111111−1+i32−1−i321−1+i32−1−i321-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1111−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11−1+i32−1−i32
χ13222-12-1-122-12220200-1-12-12-12-12-12-1-1-1-1-1020-100220000-1-1-1-10-1000222-12-1-122-12220200-1-12-12-12-12-12-1-1-1-1-1020-100220000-1-1-1-10-1000
χ14222-12-1-122-12220-200112-12-12-12-12-1-1-1-1-10-20-100-2-20000111101000222-12-1-122-12220-200112-12-12-12-12-1-1-1-1-10-20-100-2-20000111101000
χ15222-12-1-1−1−i3−1+i3-1−1−i3−1+i320200-1-1−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i32020-100−1−i3−1+i300001+i321+i321−i321−i320-1000222-12-1-1−1−i3−1+i3-1−1−i3−1+i320200-1-1−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i32020-100−1−i3−1+i300001+i321+i321−i321−i320-1000
χ16222-12-1-1−1−i3−1+i3-1−1−i3−1+i320-20011−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i320-20-1001+i31−i30000−1−i32−1−i32−1+i32−1+i3201000222-12-1-1−1−i3−1+i3-1−1−i3−1+i320-20011−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i320-20-1001+i31−i30000−1−i32−1−i32−1+i32−1+i3201000
χ17222-12-1-1−1+i3−1−i3-1−1+i3−1−i320200-1-1−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i32020-100−1+i3−1−i300001−i321−i321+i321+i320-1000222-12-1-1−1+i3−1−i3-1−1+i3−1−i320200-1-1−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i32020-100−1+i3−1−i300001−i321−i321+i321+i320-1000
χ18222-12-1-1−1+i3−1−i3-1−1+i3−1−i320-20011−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i320-20-1001−i31+i30000−1+i32−1+i32−1−i32−1−i3201000222-12-1-1−1+i3−1−i3-1−1+i3−1−i320-20011−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i320-20-1001−i31+i30000−1+i32−1+i32−1−i32−1−i3201000
χ1922-12-12-122-122220-1-100-12-12-12-12-12-1-1-1-1200-12200-1-1-1-10000-1000022-12-12-122-122220-1-100-12-12-12-12-12-1-1-1-1200-12200-1-1-1-10000-10000
χ2022-12-12-122-1222-201100-12-12-12-12-12-1-1-1-1-200-1-2-200111100001000022-12-12-122-1222-201100-12-12-12-12-12-1-1-1-1-200-1-2-2001111000010000
χ2122-12-12-1−1−i3−1+i3-1−1−i3−1+i3220-1-1001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32200-1−1−i3−1+i3001+i321+i321−i321−i320000-1000022-12-12-1−1−i3−1+i3-1−1−i3−1+i3220-1-1001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32200-1−1−i3−1+i3001+i321+i321−i321−i320000-10000
χ2222-12-12-1−1−i3−1+i3-1−1−i3−1+i32-2011001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32-200-11+i31−i300−1−i32−1−i32−1+i32−1+i3200001000022-12-12-1−1−i3−1+i3-1−1−i3−1+i32-2011001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32-200-11+i31−i300−1−i32−1−i32−1+i32−1+i32000010000
χ2322-12-12-1−1+i3−1−i3-1−1+i3−1−i3220-1-1001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32200-1−1+i3−1−i3001−i321−i321+i321+i320000-1000022-12-12-1−1+i3−1−i3-1−1+i3−1−i3220-1-1001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32200-1−1+i3−1−i3001−i321−i321+i321+i320000-10000
χ2422-12-12-1−1+i3−1−i3-1−1+i3−1−i32-2011001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32-200-11−i31+i300−1+i32−1+i32−1−i32−1−i3200001000022-12-12-1−1+i3−1−i3-1−1+i3−1−i32-2011001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32-200-11−i31+i300−1+i32−1+i32−1−i32−1−i32000010000
χ25333333300300-133333300000000-1-10000-1-13-1000000000000-1-1-100333333300300-133333300000000-1-10000-1-13-1000000000000-1-1-100
χ26333333300300-13-333-3-300000000-1-10000-11-3-1000000000000-11100333333300300-13-333-3-300000000-1-10000-11-3-1000000000000-11100
χ27333333300300-1-33-3-33300000000-1-100001-1-3-10000000000001-1100333333300300-1-33-3-33300000000-1-100001-1-3-10000000000001-1100
χ28333333300300-1-3-3-3-3-3-300000000-1-10000113-100000000000011-100333333300300-1-3-3-3-3-3-300000000-1-10000113-100000000000011-100
χ2944-2-2-2-21441444000000-2-2-2-2-2-2-2-2-2-2111100010000000000000000044-2-2-2-21441444000000-2-2-2-2-2-2-2-2-2-21111000100000000000000000
χ3044-2-2-2-21−2−2i3−2+2i31−2−2i3−2+2i340000001+i31+i31−i31−i31+i31+i31−i31−i3-2-2−1−i32−1+i32−1−i32−1+i3200010000000000000000044-2-2-2-21−2−2i3−2+2i31−2−2i3−2+2i340000001+i31+i31−i31−i31+i31+i31−i31−i3-2-2−1−i32−1+i32−1−i32−1+i32000100000000000000000
χ3144-2-2-2-21−2+2i3−2−2i31−2+2i3−2−2i340000001−i31−i31+i31+i31−i31−i31+i31+i3-2-2−1+i32−1−i32−1+i32−1−i3200010000000000000000044-2-2-2-21−2+2i3−2−2i31−2+2i3−2−2i340000001−i31−i31+i31+i31−i31−i31+i31+i3-2-2−1+i32−1−i32−1+i32−1−i32000100000000000000000
χ324-444-4-44-2-2-4220000000-2-2-2-2222200-2-2220000000000000000000004-444-4-44-2-2-4220000000-2-2-2-2222200-2-222000000000000000000000
χ334-444-4-441+i31−i3-4−1−i3−1+i300000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3001+i31−i3−1−i3−1+i30000000000000000000004-444-4-441+i31−i3-4−1−i3−1+i300000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3001+i31−i3−1−i3−1+i3000000000000000000000
χ344-444-4-441−i31+i3-4−1+i3−1−i300000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3001−i31+i3−1+i3−1−i30000000000000000000004-444-4-441−i31+i3-4−1+i3−1−i300000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3001−i31+i3−1+i3−1−i3000000000000000000000
χ354-44-2-42-2-2-22220000023−23-21-212-12-10011-1-10000000000003−33−3000004-44-2-42-2-2-22220000023−23-21-212-12-10011-1-10000000000003−33−300000
χ364-44-2-42-2-2-222200000−2323-21-212-12-10011-1-1000000000000−33−33000004-44-2-42-2-2-222200000−2323-21-212-12-10011-1-1000000000000−33−3300000
χ374-44-2-42-21+i31−i32−1−i3−1+i30000023−231+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i320000000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000004-44-2-42-21+i31−i32−1−i3−1+i30000023−231+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i320000000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000
χ384-44-2-42-21+i31−i32−1−i3−1+i300000−23231+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i32000000000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000004-44-2-42-21+i31−i32−1−i3−1+i300000−23231+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i32000000000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000
χ394-44-2-42-21−i31+i32−1+i3−1−i30000023−231−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i32000000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000004-44-2-42-21−i31+i32−1+i3−1−i30000023−231−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i32000000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000
χ404-44-2-42-21−i31+i32−1+i3−1−i300000−23231−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i32000000000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000004-44-2-42-21−i31+i32−1+i3−1−i300000−23231−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i32000000000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000
χ414-4-242-4-2-2-222200023−23001-21-2-12-120011-1-1000000003−33−30000000004-4-242-4-2-2-222200023−23001-21-2-12-120011-1-1000000003−33−3000000000
χ424-4-242-4-2-2-2222000−2323001-21-2-12-120011-1-100000000−33−330000000004-4-242-4-2-2-2222000−2323001-21-2-12-120011-1-100000000−33−33000000000
χ434-4-242-4-21+i31−i32−1−i3−1+i300023−2300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i32000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000004-4-242-4-21+i31−i32−1−i3−1+i300023−2300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i32000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000
χ444-4-242-4-21+i31−i32−1−i3−1+i3000−232300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i3200000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000004-4-242-4-21+i31−i32−1−i3−1+i3000−232300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i3200000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000
χ454-4-242-4-21−i31+i32−1+i3−1−i300023−2300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i3200000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000004-4-242-4-21−i31+i32−1+i3−1−i300023−2300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i3200000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000
χ464-4-242-4-21−i31+i32−1+i3−1−i3000−232300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i3200000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ110000000004-4-242-4-21−i31+i32−1+i3−1−i3000−232300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i3200000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000
χ47666-36-3-300-300-20600-3-300000000-2100000-20100000000000001000666-36-3-300-300-20600-3-300000000-2100000-20100000000000001000
χ48666-36-3-300-300-20-6003300000000-21000002010000000000000-1000666-36-3-300-300-20-6003300000000-21000002010000000000000-1000
χ4966-36-36-300-300-260-3-300000000001-20000-20010000000000001000066-36-36-300-300-260-3-300000000001-20000-200100000000000010000
χ5066-36-36-300-300-2-603300000000001-200002001000000000000-1000066-36-36-300-300-2-603300000000001-200002001000000000000-10000
χ518-8-4-4442-4-4-24400000002222-2-2-2-200-1-1110000000000000000000008-8-4-4442-4-4-24400000002222-2-2-2-200-1-111000000000000000000000
χ528-8-4-44422+2i32−2i3-2−2−2i3−2+2i30000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3001+i321−i32−1−i32−1+i320000000000000000000008-8-4-44422+2i32−2i3-2−2−2i3−2+2i30000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3001+i321−i32−1−i32−1+i32000000000000000000000
χ538-8-4-44422−2i32+2i3-2−2+2i3−2−2i30000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3001−i321+i32−1+i32−1−i320000000000000000000008-8-4-44422−2i32+2i3-2−2+2i3−2−2i30000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3001−i321+i32−1+i32−1−i32000000000000000000000
χ541212-6-6-6-6300300-400000000000000220000000-1000000000000000001212-6-6-6-6300300-400000000000000220000000-100000000000000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5611111111111111-111-1-1111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-11111
χ571111111111111-11-1-11111111111111111-11-11-1-111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11-1111
χ581111111111111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1
χ591111111−1−i32−1+i321−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32-1-1-1-1-1-1-11+i321−i32-11+i321−i32-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321−i32-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-11+i321−i32
χ601111111−1−i32−1+i321−1−i32−1+i3211-111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321-1-11−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1-11+i321−i32-1-1-1-1-1-1-11+i321−i32-11+i321−i32-1-11-1-1111+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321−i32-111-11+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111−1−i32−1+i32
χ611111111−1−i32−1+i321−1−i32−1+i321-11-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-11-111+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-11-11+i321−i32-1-1-1-1-1-1-11+i321−i32-11+i321−i32-11-111-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-11−1−i32−1+i32
χ621111111−1−i32−1+i321−1−i32−1+i321-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1111+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11−1−i32−1+i32-1-1-1-1-1-1-11+i321−i32-11+i321−i32-11111111+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321−i3211-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211-11+i321−i32
χ631111111−1+i32−1−i321−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32-1-1-1-1-1-1-11−i321+i32-11−i321+i32-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321+i32-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-11−i321+i32
χ641111111−1+i32−1−i321−1+i32−1−i3211-111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i321-1-11−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1-11−i321+i32-1-1-1-1-1-1-11−i321+i32-11−i321+i32-1-11-1-1111−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321+i32-111-11−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111−1+i32−1−i32
χ651111111−1+i32−1−i321−1+i32−1−i321-11-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-11-111−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-11-11−i321+i32-1-1-1-1-1-1-11−i321+i32-11−i321+i32-11-111-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-11−1+i32−1−i32
χ661111111−1+i32−1−i321−1+i32−1−i321-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1111−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11−1+i32−1−i32-1-1-1-1-1-1-11−i321+i32-11−i321+i32-11111111−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321+i3211-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211-11−i321+i32
χ67222-12-1-122-12220200-1-12-12-12-12-12-1-1-1-1-1020-100220000-1-1-1-10-1000-2-2-21-211-2-21-2-2-20-20011-21-21-21-21-2111110-20100-2-20000111101000
χ68222-12-1-122-12220-200112-12-12-12-12-1-1-1-1-10-20-100-2-20000111101000-2-2-21-211-2-21-2-2-20200-1-1-21-21-21-21-211111020100220000-1-1-1-10-1000
χ69222-12-1-1−1−i3−1+i3-1−1−i3−1+i320200-1-1−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i32020-100−1−i3−1+i300001+i321+i321−i321−i320-1000-2-2-21-2111+i31−i311+i31−i3-20-200111+i3−1−i321−i3−1+i321+i3−1−i321−i3−1+i32-21−1−i32−1+i32−1−i32−1+i320-201001+i31−i30000−1−i32−1−i32−1+i32−1+i3201000
χ70222-12-1-1−1−i3−1+i3-1−1−i3−1+i320-20011−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-11+i321−i321+i321−i320-20-1001+i31−i30000−1−i32−1−i32−1+i32−1+i3201000-2-2-21-2111+i31−i311+i31−i3-20200-1-11+i3−1−i321−i3−1+i321+i3−1−i321−i3−1+i32-21−1−i32−1+i32−1−i32−1+i32020100−1−i3−1+i300001+i321+i321−i321−i320-1000
χ71222-12-1-1−1+i3−1−i3-1−1+i3−1−i320200-1-1−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i32020-100−1+i3−1−i300001−i321−i321+i321+i320-1000-2-2-21-2111−i31+i311−i31+i3-20-200111−i3−1+i321+i3−1−i321−i3−1+i321+i3−1−i32-21−1+i32−1−i32−1+i32−1−i320-201001−i31+i30000−1+i32−1+i32−1−i32−1−i3201000
χ72222-12-1-1−1+i3−1−i3-1−1+i3−1−i320-20011−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-11−i321+i321−i321+i320-20-1001−i31+i30000−1+i32−1+i32−1−i32−1−i3201000-2-2-21-2111−i31+i311−i31+i3-20200-1-11−i3−1+i321+i3−1−i321−i3−1+i321+i3−1−i32-21−1+i32−1−i32−1+i32−1−i32020100−1+i3−1−i300001−i321−i321+i321+i320-1000
χ7322-12-12-122-122220-1-100-12-12-12-12-12-1-1-1-1200-12200-1-1-1-10000-10000-2-21-21-21-2-21-2-2-2-2011001-21-21-21-21-21111-2001-2-2001111000010000
χ7422-12-12-122-1222-201100-12-12-12-12-12-1-1-1-1-200-1-2-2001111000010000-2-21-21-21-2-21-2-2-220-1-1001-21-21-21-21-2111120012200-1-1-1-10000-10000
χ7522-12-12-1−1−i3−1+i3-1−1−i3−1+i3220-1-1001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32200-1−1−i3−1+i3001+i321+i321−i321−i320000-10000-2-21-21-211+i31−i311+i31−i3-2-201100−1−i321+i3−1+i321−i3−1−i321+i3−1+i321−i31-2−1−i32−1+i32−1−i32−1+i32-20011+i31−i300−1−i32−1−i32−1+i32−1+i32000010000
χ7622-12-12-1−1−i3−1+i3-1−1−i3−1+i32-2011001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-121+i321−i321+i321−i32-200-11+i31−i300−1−i32−1−i32−1+i32−1+i32000010000-2-21-21-211+i31−i311+i31−i3-220-1-100−1−i321+i3−1+i321−i3−1−i321+i3−1+i321−i31-2−1−i32−1+i32−1−i32−1+i322001−1−i3−1+i3001+i321+i321−i321−i320000-10000
χ7722-12-12-1−1+i3−1−i3-1−1+i3−1−i3220-1-1001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32200-1−1+i3−1−i3001−i321−i321+i321+i320000-10000-2-21-21-211−i31+i311−i31+i3-2-201100−1+i321−i3−1−i321+i3−1+i321−i3−1−i321+i31-2−1+i32−1−i32−1+i32−1−i32-20011−i31+i300−1+i32−1+i32−1−i32−1−i32000010000
χ7822-12-12-1−1+i3−1−i3-1−1+i3−1−i32-2011001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-121−i321+i321−i321+i32-200-11−i31+i300−1+i32−1+i32−1−i32−1−i32000010000-2-21-21-211−i31+i311−i31+i3-220-1-100−1+i321−i3−1−i321+i3−1+i321−i3−1−i321+i31-2−1+i32−1−i32−1+i32−1−i322001−1+i3−1−i3001−i321−i321+i321+i320000-10000
χ79333333300300-133333300000000-1-10000-1-13-1000000000000-1-1-100-3-3-3-3-3-3-300-3001-3-3-3-3-3-30000000011000011-3100000000000011100
χ80333333300300-13-333-3-300000000-1-10000-11-3-1000000000000-11100-3-3-3-3-3-3-300-3001-33-3-333000000001100001-1310000000000001-1-100
χ81333333300300-1-33-3-33300000000-1-100001-1-3-10000000000001-1100-3-3-3-3-3-3-300-30013-333-3-300000000110000-1131000000000000-11-100
χ82333333300300-1-3-3-3-3-3-300000000-1-10000113-100000000000011-100-3-3-3-3-3-3-300-300133333300000000110000-1-1-31000000000000-1-1100
χ8344-2-2-2-21441444000000-2-2-2-2-2-2-2-2-2-21111000100000000000000000-4-42222-1-4-4-1-4-4-40000002222222222-1-1-1-1000-100000000000000000
χ8444-2-2-2-21−2−2i3−2+2i31−2−2i3−2+2i340000001+i31+i31−i31−i31+i31+i31−i31−i3-2-2−1−i32−1+i32−1−i32−1+i32000100000000000000000-4-42222-12+2i32−2i3-12+2i32−2i3-4000000−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3221+i321−i321+i321−i32000-100000000000000000
χ8544-2-2-2-21−2+2i3−2−2i31−2+2i3−2−2i340000001−i31−i31+i31+i31−i31−i31+i31+i3-2-2−1+i32−1−i32−1+i32−1−i32000100000000000000000-4-42222-12−2i32+2i3-12−2i32+2i3-4000000−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3221−i321+i321−i321+i32000-100000000000000000
χ864-444-4-44-2-2-4220000000-2-2-2-2222200-2-222000000000000000000000-44-4-444-4224-2-200000002222-2-2-2-20022-2-2000000000000000000000
χ874-444-4-441+i31−i3-4−1−i3−1+i300000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3001+i31−i3−1−i3−1+i3000000000000000000000-44-4-444-4−1−i3−1+i341+i31−i30000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i300−1−i3−1+i31+i31−i3000000000000000000000
χ884-444-4-441−i31+i3-4−1+i3−1−i300000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3001−i31+i3−1+i3−1−i3000000000000000000000-44-4-444-4−1+i3−1−i341−i31+i30000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i300−1+i3−1−i31−i31+i3000000000000000000000
χ894-44-2-42-2-2-22220000023−23-21-212-12-10011-1-10000000000003−33−300000-44-424-2222-2-2-200000−23232-12-1-21-2100-1-111000000000000−33−3300000
χ904-44-2-42-2-2-222200000−2323-21-212-12-10011-1-1000000000000−33−3300000-44-424-2222-2-2-20000023−232-12-1-21-2100-1-1110000000000003−33−300000
χ914-44-2-42-21+i31−i32−1−i3−1+i30000023−231+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i320000000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000-44-424-22−1−i3−1+i3-21+i31−i300000−2323−1−i31+i32−1+i31−i321+i3−1−i321−i3−1+i32001+i321−i32−1−i32−1+i32000000000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000
χ924-44-2-42-21+i31−i32−1−i3−1+i300000−23231+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200−1−i32−1+i321+i321−i32000000000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000-44-424-22−1−i3−1+i3-21+i31−i30000023−23−1−i31+i32−1+i31−i321+i3−1−i321−i3−1+i32001+i321−i32−1−i32−1+i320000000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000
χ934-44-2-42-21−i31+i32−1+i3−1−i30000023−231−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i32000000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000-44-424-22−1+i3−1−i3-21−i31+i300000−2323−1+i31−i32−1−i31+i321−i3−1+i321+i3−1−i32001−i321+i32−1+i32−1−i32000000000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000
χ944-44-2-42-21−i31+i32−1+i3−1−i300000−23231−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200−1+i32−1−i321−i321+i32000000000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000-44-424-22−1+i3−1−i3-21−i31+i30000023−23−1+i31−i32−1−i31+i321−i3−1+i321+i3−1−i32001−i321+i32−1+i32−1−i32000000000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000
χ954-4-242-4-2-2-222200023−23001-21-2-12-120011-1-1000000003−33−3000000000-442-4-24222-2-2-2000−232300-12-121-21-200-1-11100000000−33−33000000000
χ964-4-242-4-2-2-2222000−2323001-21-2-12-120011-1-100000000−33−33000000000-442-4-24222-2-2-200023−2300-12-121-21-200-1-111000000003−33−3000000000
χ974-4-242-4-21+i31−i32−1−i3−1+i300023−2300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i32000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000-442-4-242−1−i3−1+i3-21+i31−i3000−2323001+i32−1−i31−i32−1+i3−1−i321+i3−1+i321−i3001+i321−i32−1−i32−1+i3200000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000
χ984-4-242-4-21+i31−i32−1−i3−1+i3000−232300−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300−1−i32−1+i321+i321−i3200000000−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000000-442-4-242−1−i3−1+i3-21+i31−i300023−23001+i32−1−i31−i32−1+i3−1−i321+i3−1+i321−i3001+i321−i32−1−i32−1+i32000000002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000000
χ994-4-242-4-21−i31+i32−1+i3−1−i300023−2300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i3200000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000-442-4-242−1+i3−1−i3-21−i31+i3000−2323001−i32−1+i31+i32−1−i3−1+i321−i3−1−i321+i3001−i321+i32−1+i32−1−i3200000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000
χ1004-4-242-4-21−i31+i32−1+i3−1−i3000−232300−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300−1+i32−1−i321−i321+i3200000000ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000000-442-4-242−1+i3−1−i3-21−i31+i300023−23001−i32−1+i31+i32−1−i3−1+i321−i3−1−i321+i3001−i321+i32−1+i32−1−i3200000000−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000000
χ101666-36-3-300-300-20600-3-300000000-2100000-20100000000000001000-6-6-63-6330030020-60033000000002-10000020-10000000000000-1000
χ102666-36-3-300-300-20-6003300000000-21000002010000000000000-1000-6-6-63-6330030020600-3-3000000002-100000-20-100000000000001000
χ10366-36-36-300-300-260-3-300000000001-20000-200100000000000010000-6-63-63-63003002-60330000000000-120000200-1000000000000-10000
χ10466-36-36-300-300-2-603300000000001-200002001000000000000-10000-6-63-63-6300300260-3-30000000000-120000-200-100000000000010000
χ1058-8-4-4442-4-4-24400000002222-2-2-2-200-1-111000000000000000000000-8844-4-4-2442-4-40000000-2-2-2-222220011-1-1000000000000000000000
χ1068-8-4-44422+2i32−2i3-2−2−2i3−2+2i30000000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3001+i321−i32−1−i32−1+i32000000000000000000000-8844-4-4-2−2−2i3−2+2i322+2i32−2i300000001+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i300−1−i32−1+i321+i321−i32000000000000000000000
χ1078-8-4-44422−2i32+2i3-2−2+2i3−2−2i30000000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3001−i321+i32−1+i32−1−i32000000000000000000000-8844-4-4-2−2+2i3−2−2i322−2i32+2i300000001−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i300−1+i32−1−i321−i321+i32000000000000000000000
χ1081212-6-6-6-6300300-400000000000000220000000-100000000000000000-12-126666-300-300400000000000000-2-20000000100000000000000000

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