Finite Group Databasebeta

← Group #13164630

Character table — Group #13164630

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222266666699991212121212121212121212121212121224242424242424243636363636363636545411112222666666999912121212121212121212121212121212242424242424242436363636363636365454
order124436121223461212224433666666121212121212121233661212121266661212121224224466121226461212224466666666121212121212121266661212121266661212121224
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1+i321111−1−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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111111111−1−i32−1+i321111−1−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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ3111111111111111111−1+i32−1−i321111−1+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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111111111−1+i32−1−i321111−1+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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ411111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ511111111111111-1-1-1-1−1−i32−1+i321111−1−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+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111111111111111-1-1-1-1−1−i32−1+i321111−1−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+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1
χ611111111111111-1-1-1-1−1+i32−1−i321111−1+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−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111111111111111-1-1-1-1−1+i32−1−i321111−1+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−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1
χ711-1-111-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11
χ811-1-111-1-1-1111-1-111-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i3211111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1111-1-111-1-1-1111-1-111-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i3211111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11
χ911-1-111-1-1-1111-1-111-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i3211111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1111-1-111-1-1-1111-1-111-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i3211111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11
χ1011-1-111-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1
χ1111-1-111-1-1-1111-1-1-1-111−1−i32−1+i32-1-1-1-1−1−i32−1+i3211111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-111-1-111-1-1-1111-1-1-1-111−1−i32−1+i32-1-1-1-1−1−i32−1+i3211111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ1211-1-111-1-1-1111-1-1-1-111−1+i32−1−i32-1-1-1-1−1+i32−1−i3211111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-111-1-111-1-1-1111-1-1-1-111−1+i32−1−i32-1-1-1-1−1+i32−1−i3211111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ13222222222-12-1-1-10000222-1-1-1222-1-1-12222-1-1-1-1-1-1-1-10000000000222222222-12-1-1-10000222-1-1-1222-1-1-12222-1-1-1-1-1-1-1-10000000000
χ14222222222-12-1-1-10000−1−i3−1+i32-1-1-1−1−i3−1+i32-1-1-1−1−i3−1−i3−1+i3−1+i31+i321−i321+i321−i321+i321+i321−i321−i320000000000222222222-12-1-1-10000−1−i3−1+i32-1-1-1−1−i3−1+i32-1-1-1−1−i3−1−i3−1+i3−1+i31+i321−i321+i321−i321+i321+i321−i321−i320000000000
χ15222222222-12-1-1-10000−1+i3−1−i32-1-1-1−1+i3−1−i32-1-1-1−1+i3−1+i3−1−i3−1−i31−i321+i321−i321+i321−i321−i321+i321+i320000000000222222222-12-1-1-10000−1+i3−1−i32-1-1-1−1+i3−1−i32-1-1-1−1+i3−1+i3−1−i3−1−i31−i321+i321−i321+i321−i321−i321+i321+i320000000000
χ1622-2-222-2-2-2-12-111000022-2111222-1-1-1-2-2-2-2-1-1-1-11111000000000022-2-222-2-2-2-12-111000022-2111222-1-1-1-2-2-2-2-1-1-1-111110000000000
χ1722-2-222-2-2-2-12-1110000−1−i3−1+i3-2111−1−i3−1+i32-1-1-11+i31+i31−i31−i31+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32000000000022-2-222-2-2-2-12-1110000−1−i3−1+i3-2111−1−i3−1+i32-1-1-11+i31+i31−i31−i31+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i320000000000
χ1822-2-222-2-2-2-12-1110000−1+i3−1−i3-2111−1+i3−1−i32-1-1-11−i31−i31+i31+i31−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32000000000022-2-222-2-2-2-12-1110000−1+i3−1−i3-2111−1+i3−1−i32-1-1-11−i31−i31+i31+i31−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i320000000000
χ192-22i−2i2-22i−2i020-22i−2i2-22i−2i-1-10000110000i−ii−i-1-111i−ii−i1-11-1i−ii−i002-22i−2i2-22i−2i020-22i−2i2-22i−2i-1-10000110000i−ii−i-1-111i−ii−i1-11-1i−ii−i00
χ202-22i−2i2-22i−2i020-22i−2i2-22i−2i1+i321−i320000−1−i32−1+i320000ζ11−ζ11ζ7−ζ71+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ7002-22i−2i2-22i−2i020-22i−2i2-22i−2i1+i321−i320000−1−i32−1+i320000ζ11−ζ11ζ7−ζ71+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ700
χ212-22i−2i2-22i−2i020-22i−2i2-22i−2i1−i321+i320000−1+i32−1−i320000ζ7−ζ7ζ11−ζ111−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ11002-22i−2i2-22i−2i020-22i−2i2-22i−2i1−i321+i320000−1+i32−1−i320000ζ7−ζ7ζ11−ζ111−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ1100
χ222-22i−2i2-22i−2i020-22i−2i-22−2i2i-1-10000110000i−ii−i-1-111i−ii−i-11-11−ii−ii002-22i−2i2-22i−2i020-22i−2i-22−2i2i-1-10000110000i−ii−i-1-111i−ii−i-11-11−ii−ii00
χ232-22i−2i2-22i−2i020-22i−2i-22−2i2i1+i321−i320000−1−i32−1+i320000ζ11−ζ11ζ7−ζ71+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ71+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ7002-22i−2i2-22i−2i020-22i−2i-22−2i2i1+i321−i320000−1−i32−1+i320000ζ11−ζ11ζ7−ζ71+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ71+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ700
χ242-22i−2i2-22i−2i020-22i−2i-22−2i2i1−i321+i320000−1+i32−1−i320000ζ7−ζ7ζ11−ζ111−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ111−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ11002-22i−2i2-22i−2i020-22i−2i-22−2i2i1−i321+i320000−1+i32−1−i320000ζ7−ζ7ζ11−ζ111−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ111−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ1100
χ252-2−2i2i2-2−2i2i020-2−2i2i2-2−2i2i-1-10000110000−ii−ii-1-111−ii−ii1-11-1−ii−ii002-2−2i2i2-2−2i2i020-2−2i2i2-2−2i2i-1-10000110000−ii−ii-1-111−ii−ii1-11-1−ii−ii00
χ262-2−2i2i2-2−2i2i020-2−2i2i2-2−2i2i1+i321−i320000−1−i32−1+i320000−ζ11ζ11−ζ7ζ71+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ7002-2−2i2i2-2−2i2i020-2−2i2i2-2−2i2i1+i321−i320000−1−i32−1+i320000−ζ11ζ11−ζ7ζ71+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ700
χ272-2−2i2i2-2−2i2i020-2−2i2i2-2−2i2i1−i321+i320000−1+i32−1−i320000−ζ7ζ7−ζ11ζ111−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ11002-2−2i2i2-2−2i2i020-2−2i2i2-2−2i2i1−i321+i320000−1+i32−1−i320000−ζ7ζ7−ζ11ζ111−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ1100
χ282-2−2i2i2-2−2i2i020-2−2i2i-222i−2i-1-10000110000−ii−ii-1-111−ii−ii-11-11i−ii−i002-2−2i2i2-2−2i2i020-2−2i2i-222i−2i-1-10000110000−ii−ii-1-111−ii−ii-11-11i−ii−i00
χ292-2−2i2i2-2−2i2i020-2−2i2i-222i−2i1+i321−i320000−1−i32−1+i320000−ζ11ζ11−ζ7ζ71+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ71+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ7002-2−2i2i2-2−2i2i020-2−2i2i-222i−2i1+i321−i320000−1−i32−1+i320000−ζ11ζ11−ζ7ζ71+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ71+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ700
χ302-2−2i2i2-2−2i2i020-2−2i2i-222i−2i1−i321+i320000−1+i32−1−i320000−ζ7ζ7−ζ11ζ111−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ111−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ11002-2−2i2i2-2−2i2i020-2−2i2i-222i−2i1−i321+i320000−1+i32−1−i320000−ζ7ζ7−ζ11ζ111−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ111−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ1100
χ3133333333-13-1333333300-1-1-1-100-1-1-1-100000000000000000000-1-133333333-13-1333333300-1-1-1-100-1-1-1-100000000000000000000-1-1
χ3233333333-13-1333-3-3-3-300-1-1-1-100-1-1-1-1000000000000000000001133333333-13-1333-3-3-3-300-1-1-1-100-1-1-1-10000000000000000000011
χ3333-3-333-3-313-13-3-333-3-300111100-1-1-1-1000000000000000000001-133-3-333-3-313-13-3-333-3-300111100-1-1-1-1000000000000000000001-1
χ3433-3-333-3-313-13-3-3-3-33300111100-1-1-1-100000000000000000000-1133-3-333-3-313-13-3-3-3-33300111100-1-1-1-100000000000000000000-11
χ354-44i−4i4-44i−4i0-202−2i2i0000-2-200002200002i−2i2i−2i11-1-1−ii−ii00000000004-44i−4i4-44i−4i0-202−2i2i0000-2-200002200002i−2i2i−2i11-1-1−ii−ii0000000000
χ364-44i−4i4-44i−4i0-202−2i2i00001+i31−i30000−1−i3−1+i300002ζ11−2ζ112ζ7−2ζ7−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700000000004-44i−4i4-44i−4i0-202−2i2i00001+i31−i30000−1−i3−1+i300002ζ11−2ζ112ζ7−2ζ7−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ70000000000
χ374-44i−4i4-44i−4i0-202−2i2i00001−i31+i30000−1+i3−1−i300002ζ7−2ζ72ζ11−2ζ11−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100000000004-44i−4i4-44i−4i0-202−2i2i00001−i31+i30000−1+i3−1−i300002ζ7−2ζ72ζ11−2ζ11−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ110000000000
χ384-4−4i4i4-4−4i4i0-2022i−2i0000-2-20000220000−2i2i−2i2i11-1-1i−ii−i00000000004-4−4i4i4-4−4i4i0-2022i−2i0000-2-20000220000−2i2i−2i2i11-1-1i−ii−i0000000000
χ394-4−4i4i4-4−4i4i0-2022i−2i00001+i31−i30000−1−i3−1+i30000−2ζ112ζ11−2ζ72ζ7−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700000000004-4−4i4i4-4−4i4i0-2022i−2i00001+i31−i30000−1−i3−1+i30000−2ζ112ζ11−2ζ72ζ7−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ70000000000
χ404-4−4i4i4-4−4i4i0-2022i−2i00001−i31+i30000−1+i3−1−i30000−2ζ72ζ7−2ζ112ζ11−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100000000004-4−4i4i4-4−4i4i0-2022i−2i00001−i31+i30000−1+i3−1−i30000−2ζ72ζ7−2ζ112ζ11−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ110000000000
χ4166666666-2-3-2-3-3-3000000-211100-2111000000000000000000000066666666-2-3-2-3-3-3000000-211100-21110000000000000000000000
χ426666-3-3-3-3606000000000-300000-300000000000000000000000006666-3-3-3-3606000000000-300000-30000000000000000000000000
χ436666-3-3-3-3-20-200000000014-2-20014-2-200000000000000000000006666-3-3-3-3-20-200000000014-2-20014-2-20000000000000000000000
χ446666-3-3-3-3-20-20000000001-24-2001-24-200000000000000000000006666-3-3-3-3-20-20000000001-24-2001-24-20000000000000000000000
χ456666-3-3-3-3-20-20000000001-2-24001-2-2400000000000000000000006666-3-3-3-3-20-20000000001-2-24001-2-240000000000000000000000
χ4666-6-666-6-62-3-2-3330000002-1-1-100-2111000000000000000000000066-6-666-6-62-3-2-3330000002-1-1-100-21110000000000000000000000
χ4766-6-6-3-33320-2000000000-122-4001-2-24000000000000000000000066-6-6-3-33320-2000000000-122-4001-2-240000000000000000000000
χ4866-6-6-3-33320-2000000000-12-42001-24-2000000000000000000000066-6-6-3-33320-2000000000-12-42001-24-20000000000000000000000
χ4966-6-6-3-33320-2000000000-1-4220014-2-2000000000000000000000066-6-6-3-33320-2000000000-1-4220014-2-20000000000000000000000
χ5066-6-6-3-333-606000000000300000-3000000000000000000000000066-6-6-3-333-606000000000300000-30000000000000000000000000
χ5112-1212i−12i-66−6i6i0000000000000000000000000000000000000000000012-1212i−12i-66−6i6i00000000000000000000000000000000000000000000
χ5212-12−12i12i-666i−6i0000000000000000000000000000000000000000000012-12−12i12i-666i−6i00000000000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ54111111111111111111−1−i32−1+i321111−1−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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i32-1-1-1-11+i321−i32-1-1-1-11+i321+i321−i321−i321+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1
χ55111111111111111111−1+i32−1−i321111−1+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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i32-1-1-1-11−i321+i32-1-1-1-11−i321−i321+i321+i321−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1
χ5611111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5711111111111111-1-1-1-1−1−i32−1+i321111−1−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+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111+i321−i32-1-1-1-11+i321−i32-1-1-1-11+i321+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+i3211
χ5811111111111111-1-1-1-1−1+i32−1−i321111−1+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−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111−i321+i32-1-1-1-11−i321+i32-1-1-1-11−i321−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−i3211
χ5911-1-111-1-1-1111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1111-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1
χ6011-1-111-1-1-1111-1-111-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i3211111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11-1-111-1-1111-1-1-111-1-1111+i321−i3211111+i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ6111-1-111-1-1-1111-1-111-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i3211111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11-1-111-1-1111-1-1-111-1-1111−i321+i3211111−i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ6211-1-111-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1111-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11
χ6311-1-111-1-1-1111-1-1-1-111−1−i32−1+i32-1-1-1-1−1−i32−1+i3211111+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-111-1-1111-1-1-11111-1-11+i321−i3211111+i321−i32-1-1-1-1−1−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+i321+i321+i321−i321−i32-11
χ6411-1-111-1-1-1111-1-1-1-111−1+i32−1−i32-1-1-1-1−1+i32−1−i3211111−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-111-1-1111-1-1-11111-1-11−i321+i3211111−i321+i32-1-1-1-1−1+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−i321−i321−i321+i321+i32-11
χ65222222222-12-1-1-10000222-1-1-1222-1-1-12222-1-1-1-1-1-1-1-10000000000-2-2-2-2-2-2-2-2-21-21110000-2-2-2111-2-2-2111-2-2-2-2111111110000000000
χ66222222222-12-1-1-10000−1−i3−1+i32-1-1-1−1−i3−1+i32-1-1-1−1−i3−1−i3−1+i3−1+i31+i321−i321+i321−i321+i321+i321−i321−i320000000000-2-2-2-2-2-2-2-2-21-211100001+i31−i3-21111+i31−i3-21111+i31+i31−i31−i3−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i320000000000
χ67222222222-12-1-1-10000−1+i3−1−i32-1-1-1−1+i3−1−i32-1-1-1−1+i3−1+i3−1−i3−1−i31−i321+i321−i321+i321−i321−i321+i321+i320000000000-2-2-2-2-2-2-2-2-21-211100001−i31+i3-21111−i31+i3-21111−i31−i31+i31+i3−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i320000000000
χ6822-2-222-2-2-2-12-111000022-2111222-1-1-1-2-2-2-2-1-1-1-111110000000000-2-222-2-22221-21-1-10000-2-22-1-1-1-2-2-211122221111-1-1-1-10000000000
χ6922-2-222-2-2-2-12-1110000−1−i3−1+i3-2111−1−i3−1+i32-1-1-11+i31+i31−i31−i31+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i320000000000-2-222-2-22221-21-1-100001+i31−i32-1-1-11+i31−i3-2111−1−i3−1−i3−1+i3−1+i3−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i320000000000
χ7022-2-222-2-2-2-12-1110000−1+i3−1−i3-2111−1+i3−1−i32-1-1-11−i31−i31+i31+i31−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i320000000000-2-222-2-22221-21-1-100001−i31+i32-1-1-11−i31+i3-2111−1+i3−1+i3−1−i3−1−i3−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i320000000000
χ712-22i−2i2-22i−2i020-22i−2i2-22i−2i-1-10000110000i−ii−i-1-111i−ii−i1-11-1i−ii−i00-22−2i2i-22−2i2i0-202−2i2i-22−2i2i110000-1-10000−ii−ii11-1-1−ii−ii-11-11−ii−ii00
χ722-22i−2i2-22i−2i020-22i−2i2-22i−2i1+i321−i320000−1−i32−1+i320000ζ11−ζ11ζ7−ζ71+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ700-22−2i2i-22−2i2i0-202−2i2i-22−2i2i−1−i32−1+i3200001+i321−i320000−ζ11ζ11−ζ7ζ7−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ71+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ700
χ732-22i−2i2-22i−2i020-22i−2i2-22i−2i1−i321+i320000−1+i32−1−i320000ζ7−ζ7ζ11−ζ111−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ1100-22−2i2i-22−2i2i0-202−2i2i-22−2i2i−1+i32−1−i3200001−i321+i320000−ζ7ζ7−ζ11ζ11−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ111−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ1100
χ742-22i−2i2-22i−2i020-22i−2i-22−2i2i-1-10000110000i−ii−i-1-111i−ii−i-11-11−ii−ii00-22−2i2i-22−2i2i0-202−2i2i2-22i−2i110000-1-10000−ii−ii11-1-1−ii−ii1-11-1i−ii−i00
χ752-22i−2i2-22i−2i020-22i−2i-22−2i2i1+i321−i320000−1−i32−1+i320000ζ11−ζ11ζ7−ζ71+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ71+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ700-22−2i2i-22−2i2i0-202−2i2i2-22i−2i−1−i32−1+i3200001+i321−i320000−ζ11ζ11−ζ7ζ7−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ700
χ762-22i−2i2-22i−2i020-22i−2i-22−2i2i1−i321+i320000−1+i32−1−i320000ζ7−ζ7ζ11−ζ111−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ111−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ1100-22−2i2i-22−2i2i0-202−2i2i2-22i−2i−1+i32−1−i3200001−i321+i320000−ζ7ζ7−ζ11ζ11−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ1100
χ772-2−2i2i2-2−2i2i020-2−2i2i2-2−2i2i-1-10000110000−ii−ii-1-111−ii−ii1-11-1−ii−ii00-222i−2i-222i−2i0-2022i−2i-222i−2i110000-1-10000i−ii−i11-1-1i−ii−i-11-11i−ii−i00
χ782-2−2i2i2-2−2i2i020-2−2i2i2-2−2i2i1+i321−i320000−1−i32−1+i320000−ζ11ζ11−ζ7ζ71+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ700-222i−2i-222i−2i0-2022i−2i-222i−2i−1−i32−1+i3200001+i321−i320000ζ11−ζ11ζ7−ζ7−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ71+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ700
χ792-2−2i2i2-2−2i2i020-2−2i2i2-2−2i2i1−i321+i320000−1+i32−1−i320000−ζ7ζ7−ζ11ζ111−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ1100-222i−2i-222i−2i0-2022i−2i-222i−2i−1+i32−1−i3200001−i321+i320000ζ7−ζ7ζ11−ζ11−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ111−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ1100
χ802-2−2i2i2-2−2i2i020-2−2i2i-222i−2i-1-10000110000−ii−ii-1-111−ii−ii-11-11i−ii−i00-222i−2i-222i−2i0-2022i−2i2-2−2i2i110000-1-10000i−ii−i11-1-1i−ii−i1-11-1−ii−ii00
χ812-2−2i2i2-2−2i2i020-2−2i2i-222i−2i1+i321−i320000−1−i32−1+i320000−ζ11ζ11−ζ7ζ71+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ71+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ700-222i−2i-222i−2i0-2022i−2i2-2−2i2i−1−i32−1+i3200001+i321−i320000ζ11−ζ11ζ7−ζ7−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ700
χ822-2−2i2i2-2−2i2i020-2−2i2i-222i−2i1−i321+i320000−1+i32−1−i320000−ζ7ζ7−ζ11ζ111−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ111−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ1100-222i−2i-222i−2i0-2022i−2i2-2−2i2i−1+i32−1−i3200001−i321+i320000ζ7−ζ7ζ11−ζ11−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ1100
χ8333333333-13-1333333300-1-1-1-100-1-1-1-100000000000000000000-1-1-3-3-3-3-3-3-3-31-31-3-3-3-3-3-3-30011110011110000000000000000000011
χ8433333333-13-1333-3-3-3-300-1-1-1-100-1-1-1-10000000000000000000011-3-3-3-3-3-3-3-31-31-3-3-3333300111100111100000000000000000000-1-1
χ8533-3-333-3-313-13-3-333-3-300111100-1-1-1-1000000000000000000001-1-3-333-3-333-1-31-333-3-33300-1-1-1-100111100000000000000000000-11
χ8633-3-333-3-313-13-3-3-3-33300111100-1-1-1-100000000000000000000-11-3-333-3-333-1-31-33333-3-300-1-1-1-1001111000000000000000000001-1
χ874-44i−4i4-44i−4i0-202−2i2i0000-2-200002200002i−2i2i−2i11-1-1−ii−ii0000000000-44−4i4i-44−4i4i020-22i−2i0000220000-2-20000−2i2i−2i2i-1-111i−ii−i0000000000
χ884-44i−4i4-44i−4i0-202−2i2i00001+i31−i30000−1−i3−1+i300002ζ11−2ζ112ζ7−2ζ7−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ70000000000-44−4i4i-44−4i4i020-22i−2i0000−1−i3−1+i300001+i31−i30000−2ζ112ζ11−2ζ72ζ71+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ70000000000
χ894-44i−4i4-44i−4i0-202−2i2i00001−i31+i30000−1+i3−1−i300002ζ7−2ζ72ζ11−2ζ11−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ110000000000-44−4i4i-44−4i4i020-22i−2i0000−1+i3−1−i300001−i31+i30000−2ζ72ζ7−2ζ112ζ111−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ110000000000
χ904-4−4i4i4-4−4i4i0-2022i−2i0000-2-20000220000−2i2i−2i2i11-1-1i−ii−i0000000000-444i−4i-444i−4i020-2−2i2i0000220000-2-200002i−2i2i−2i-1-111−ii−ii0000000000
χ914-4−4i4i4-4−4i4i0-2022i−2i00001+i31−i30000−1−i3−1+i30000−2ζ112ζ11−2ζ72ζ7−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ70000000000-444i−4i-444i−4i020-2−2i2i0000−1−i3−1+i300001+i31−i300002ζ11−2ζ112ζ7−2ζ71+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ70000000000
χ924-4−4i4i4-4−4i4i0-2022i−2i00001−i31+i30000−1+i3−1−i30000−2ζ72ζ7−2ζ112ζ11−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ110000000000-444i−4i-444i−4i020-2−2i2i0000−1+i3−1−i300001−i31+i300002ζ7−2ζ72ζ11−2ζ111−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ110000000000
χ9366666666-2-3-2-3-3-3000000-211100-21110000000000000000000000-6-6-6-6-6-6-6-62323330000002-1-1-1002-1-1-10000000000000000000000
χ946666-3-3-3-3606000000000-300000-30000000000000000000000000-6-6-6-63333-60-600000000030000030000000000000000000000000
χ956666-3-3-3-3-20-200000000014-2-20014-2-20000000000000000000000-6-6-6-63333202000000000-1-42200-1-4220000000000000000000000
χ966666-3-3-3-3-20-20000000001-24-2001-24-20000000000000000000000-6-6-6-63333202000000000-12-4200-12-420000000000000000000000
χ976666-3-3-3-3-20-20000000001-2-24001-2-240000000000000000000000-6-6-6-63333202000000000-122-400-122-40000000000000000000000
χ9866-6-666-6-62-3-2-3330000002-1-1-100-21110000000000000000000000-6-666-6-666-2323-3-3000000-2111002-1-1-10000000000000000000000
χ9966-6-6-3-33320-2000000000-122-4001-2-240000000000000000000000-6-66633-3-3-2020000000001-2-2400-122-40000000000000000000000
χ10066-6-6-3-33320-2000000000-12-42001-24-20000000000000000000000-6-66633-3-3-2020000000001-24-200-12-420000000000000000000000
χ10166-6-6-3-33320-2000000000-1-4220014-2-20000000000000000000000-6-66633-3-3-20200000000014-2-200-1-4220000000000000000000000
χ10266-6-6-3-333-606000000000300000-30000000000000000000000000-6-66633-3-360-6000000000-30000030000000000000000000000000
χ10312-1212i−12i-66−6i6i00000000000000000000000000000000000000000000-1212−12i12i6-66i−6i00000000000000000000000000000000000000000000
χ10412-12−12i12i-666i−6i00000000000000000000000000000000000000000000-121212i−12i6-6−6i6i00000000000000000000000000000000000000000000

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