Finite Group Databasebeta

← Group #13164586

Character table — Group #13164586

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222266666699991212121212121212121212121212121224242424242424243636363636363636545411112222666666999912121212121212121212121212121212242424242424242436363636363636365454
order124436121224918363622443366612121212121818183636369918183636363666661212121224224466121224181836362244666661212121212181818363636181818183636363666661212121224
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+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+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+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−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−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−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−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+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111111−1−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+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111111−1−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−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111111−1+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−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111111−1+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
χ711-1-111-1-1-1111-1-111-1-111-1111-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1111-1-111-1-111-1111-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-11
χ811-1-111-1-1-1111-1-111-1-1−1−i32−1+i32-1−1−i32−1+i3211+i321+i321−i321−i32-1-1-1111−1−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−i32−1+i3211+i321+i321−i321−i32-1-1-1111−1−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+i32−1−i3211−i321−i321+i321+i32-1-1-1111−1+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+i32−1−i3211−i321−i321+i321+i32-1-1-1111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11
χ1011-1-111-1-1-1111-1-1-1-11111-1111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1111-1-1-1-11111-1111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111-1
χ1111-1-111-1-1-1111-1-1-1-111−1−i32−1+i32-1−1−i32−1+i3211+i321+i321−i321−i32-1-1-1111−1−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−i32−1+i3211+i321+i321−i321−i32-1-1-1111−1−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+i32−1−i3211−i321−i321+i321+i32-1-1-1111−1+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+i32−1−i3211−i321−i321+i321+i32-1-1-1111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ132222222222-1-1-1-100002222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-100002222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ142222222222-1-1-1-10000−1−i3−1+i32−1−i3−1+i32−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i3200000000002222222222-1-1-1-10000−1−i3−1+i32−1−i3−1+i32−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i320000000000
χ152222222222-1-1-1-10000−1+i3−1−i32−1+i3−1−i32−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i3200000000002222222222-1-1-1-10000−1+i3−1−i32−1+i3−1−i32−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i320000000000
χ1622-2-222-2-2-22-1-111000022-2222-2-2-2-2111-1-1-1-1-1-1-11111000000000022-2-222-2-2-22-1-111000022-2222-2-2-2-2111-1-1-1-1-1-1-111110000000000
χ1722-2-222-2-2-22-1-1110000−1−i3−1+i3-2−1−i3−1+i321+i31+i31−i31−i3111-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32000000000022-2-222-2-2-22-1-1110000−1−i3−1+i3-2−1−i3−1+i321+i31+i31−i31−i3111-1-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i320000000000
χ1822-2-222-2-2-22-1-1110000−1+i3−1−i3-2−1+i3−1−i321−i31−i31+i31+i3111-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32000000000022-2-222-2-2-22-1-1110000−1+i3−1−i3-2−1+i3−1−i321−i31−i31+i31+i3111-1-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i320000000000
χ192-22i−2i2-22i−2i002-22i−2i2-22i−2i-1-10110i−ii−i000000-1-111i−ii−i1-11-1i−ii−i002-22i−2i2-22i−2i002-22i−2i2-22i−2i-1-10110i−ii−i000000-1-111i−ii−i1-11-1i−ii−i00
χ202-22i−2i2-22i−2i002-22i−2i2-22i−2i1+i321−i320−1−i32−1+i320−ζ15ζ15−ζ3ζ30000001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ3−1−i321+i32−1+i321−i32−ζ15ζ15−ζ3ζ3002-22i−2i2-22i−2i002-22i−2i2-22i−2i1+i321−i320−1−i32−1+i320−ζ15ζ15−ζ3ζ30000001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ3−1−i321+i32−1+i321−i32−ζ15ζ15−ζ3ζ300
χ212-22i−2i2-22i−2i002-22i−2i2-22i−2i1−i321+i320−1+i32−1−i320−ζ3ζ3−ζ15ζ150000001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ15−1+i321−i32−1−i321+i32−ζ3ζ3−ζ15ζ15002-22i−2i2-22i−2i002-22i−2i2-22i−2i1−i321+i320−1+i32−1−i320−ζ3ζ3−ζ15ζ150000001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ15−1+i321−i32−1−i321+i32−ζ3ζ3−ζ15ζ1500
χ222-22i−2i2-22i−2i002-22i−2i-22−2i2i-1-10110i−ii−i000000-1-111i−ii−i-11-11−ii−ii002-22i−2i2-22i−2i002-22i−2i-22−2i2i-1-10110i−ii−i000000-1-111i−ii−i-11-11−ii−ii00
χ232-22i−2i2-22i−2i002-22i−2i-22−2i2i1+i321−i320−1−i32−1+i320−ζ15ζ15−ζ3ζ30000001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ31+i32−1−i321−i32−1+i32ζ15−ζ15ζ3−ζ3002-22i−2i2-22i−2i002-22i−2i-22−2i2i1+i321−i320−1−i32−1+i320−ζ15ζ15−ζ3ζ30000001+i321−i32−1−i32−1+i32−ζ15ζ15−ζ3ζ31+i32−1−i321−i32−1+i32ζ15−ζ15ζ3−ζ300
χ242-22i−2i2-22i−2i002-22i−2i-22−2i2i1−i321+i320−1+i32−1−i320−ζ3ζ3−ζ15ζ150000001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ151−i32−1+i321+i32−1−i32ζ3−ζ3ζ15−ζ15002-22i−2i2-22i−2i002-22i−2i-22−2i2i1−i321+i320−1+i32−1−i320−ζ3ζ3−ζ15ζ150000001−i321+i32−1+i32−1−i32−ζ3ζ3−ζ15ζ151−i32−1+i321+i32−1−i32ζ3−ζ3ζ15−ζ1500
χ252-2−2i2i2-2−2i2i002-2−2i2i2-2−2i2i-1-10110−ii−ii000000-1-111−ii−ii1-11-1−ii−ii002-2−2i2i2-2−2i2i002-2−2i2i2-2−2i2i-1-10110−ii−ii000000-1-111−ii−ii1-11-1−ii−ii00
χ262-2−2i2i2-2−2i2i002-2−2i2i2-2−2i2i1+i321−i320−1−i32−1+i320ζ15−ζ15ζ3−ζ30000001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ3−1−i321+i32−1+i321−i32ζ15−ζ15ζ3−ζ3002-2−2i2i2-2−2i2i002-2−2i2i2-2−2i2i1+i321−i320−1−i32−1+i320ζ15−ζ15ζ3−ζ30000001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ3−1−i321+i32−1+i321−i32ζ15−ζ15ζ3−ζ300
χ272-2−2i2i2-2−2i2i002-2−2i2i2-2−2i2i1−i321+i320−1+i32−1−i320ζ3−ζ3ζ15−ζ150000001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ15−1+i321−i32−1−i321+i32ζ3−ζ3ζ15−ζ15002-2−2i2i2-2−2i2i002-2−2i2i2-2−2i2i1−i321+i320−1+i32−1−i320ζ3−ζ3ζ15−ζ150000001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ15−1+i321−i32−1−i321+i32ζ3−ζ3ζ15−ζ1500
χ282-2−2i2i2-2−2i2i002-2−2i2i-222i−2i-1-10110−ii−ii000000-1-111−ii−ii-11-11i−ii−i002-2−2i2i2-2−2i2i002-2−2i2i-222i−2i-1-10110−ii−ii000000-1-111−ii−ii-11-11i−ii−i00
χ292-2−2i2i2-2−2i2i002-2−2i2i-222i−2i1+i321−i320−1−i32−1+i320ζ15−ζ15ζ3−ζ30000001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ31+i32−1−i321−i32−1+i32−ζ15ζ15−ζ3ζ3002-2−2i2i2-2−2i2i002-2−2i2i-222i−2i1+i321−i320−1−i32−1+i320ζ15−ζ15ζ3−ζ30000001+i321−i32−1−i32−1+i32ζ15−ζ15ζ3−ζ31+i32−1−i321−i32−1+i32−ζ15ζ15−ζ3ζ300
χ302-2−2i2i2-2−2i2i002-2−2i2i-222i−2i1−i321+i320−1+i32−1−i320ζ3−ζ3ζ15−ζ150000001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ151−i32−1+i321+i32−1−i32−ζ3ζ3−ζ15ζ15002-2−2i2i2-2−2i2i002-2−2i2i-222i−2i1−i321+i320−1+i32−1−i320ζ3−ζ3ζ15−ζ150000001−i321+i32−1+i32−1−i32ζ3−ζ3ζ15−ζ151−i32−1+i321+i32−1−i32−ζ3ζ3−ζ15ζ1500
χ3133333333-1-13333333300-100-10000-1-1-1-1-1-10000000000000000-1-133333333-1-13333333300-100-10000-1-1-1-1-1-10000000000000000-1-1
χ3233333333-1-13333-3-3-3-300-100-10000-1-1-1-1-1-100000000000000001133333333-1-13333-3-3-3-300-100-10000-1-1-1-1-1-1000000000000000011
χ3333-3-333-3-31-133-3-333-3-300100-10000111-1-1-100000000000000001-133-3-333-3-31-133-3-333-3-300100-10000111-1-1-100000000000000001-1
χ3433-3-333-3-31-133-3-3-3-33300100-10000111-1-1-10000000000000000-1133-3-333-3-31-133-3-3-3-33300100-10000111-1-1-10000000000000000-11
χ354-44i−4i4-44i−4i00-22−2i2i0000-2-202202i−2i2i−2i00000011-1-1−ii−ii00000000004-44i−4i4-44i−4i00-22−2i2i0000-2-202202i−2i2i−2i00000011-1-1−ii−ii0000000000
χ364-44i−4i4-44i−4i00-22−2i2i00001+i31−i30−1−i3−1+i30−2ζ152ζ15−2ζ32ζ3000000−1−i32−1+i321+i321−i32ζ15−ζ15ζ3−ζ300000000004-44i−4i4-44i−4i00-22−2i2i00001+i31−i30−1−i3−1+i30−2ζ152ζ15−2ζ32ζ3000000−1−i32−1+i321+i321−i32ζ15−ζ15ζ3−ζ30000000000
χ374-44i−4i4-44i−4i00-22−2i2i00001−i31+i30−1+i3−1−i30−2ζ32ζ3−2ζ152ζ15000000−1+i32−1−i321−i321+i32ζ3−ζ3ζ15−ζ1500000000004-44i−4i4-44i−4i00-22−2i2i00001−i31+i30−1+i3−1−i30−2ζ32ζ3−2ζ152ζ15000000−1+i32−1−i321−i321+i32ζ3−ζ3ζ15−ζ150000000000
χ384-4−4i4i4-4−4i4i00-222i−2i0000-2-20220−2i2i−2i2i00000011-1-1i−ii−i00000000004-4−4i4i4-4−4i4i00-222i−2i0000-2-20220−2i2i−2i2i00000011-1-1i−ii−i0000000000
χ394-4−4i4i4-4−4i4i00-222i−2i00001+i31−i30−1−i3−1+i302ζ15−2ζ152ζ3−2ζ3000000−1−i32−1+i321+i321−i32−ζ15ζ15−ζ3ζ300000000004-4−4i4i4-4−4i4i00-222i−2i00001+i31−i30−1−i3−1+i302ζ15−2ζ152ζ3−2ζ3000000−1−i32−1+i321+i321−i32−ζ15ζ15−ζ3ζ30000000000
χ404-4−4i4i4-4−4i4i00-222i−2i00001−i31+i30−1+i3−1−i302ζ3−2ζ32ζ15−2ζ15000000−1+i32−1−i321−i321+i32−ζ3ζ3−ζ15ζ1500000000004-4−4i4i4-4−4i4i00-222i−2i00001−i31+i30−1+i3−1−i302ζ3−2ζ32ζ15−2ζ15000000−1+i32−1−i321−i321+i32−ζ3ζ3−ζ15ζ150000000000
χ4166666666-2-2-3-3-3-3000000-200-2000011111100000000000000000066666666-2-2-3-3-3-3000000-200-20000111111000000000000000000
χ426666-3-3-3-3660000000000-300-300000000000000000000000000006666-3-3-3-3660000000000-300-30000000000000000000000000000
χ436666-3-3-3-3-2-20000000000100100002ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ340000000000000000006666-3-3-3-3-2-20000000000100100002ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000000000000
χ446666-3-3-3-3-2-2000000000010010000−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ340000000000000000006666-3-3-3-3-2-2000000000010010000−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000000000000
χ456666-3-3-3-3-2-20000000000100100002ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ220000000000000000006666-3-3-3-3-2-20000000000100100002ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000000000000
χ4666-6-666-6-62-2-3-333000000200-20000-1-1-111100000000000000000066-6-666-6-62-2-3-333000000200-20000-1-1-1111000000000000000000
χ4766-6-6-3-3332-20000000000-10010000−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ3400000000000000000066-6-6-3-3332-20000000000-10010000−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000000000000
χ4866-6-6-3-3332-20000000000-10010000−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ2200000000000000000066-6-6-3-3332-20000000000-10010000−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000000000000
χ4966-6-6-3-3332-20000000000-100100002ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ3400000000000000000066-6-6-3-3332-20000000000-100100002ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000000000000
χ5066-6-6-3-333-660000000000300-3000000000000000000000000000066-6-6-3-333-660000000000300-30000000000000000000000000000
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χ9966-6-6-3-3332-20000000000-10010000−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34000000000000000000-6-66633-3-3-220000000000100-100002ζ22−2ζ26+2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34000000000000000000
χ10066-6-6-3-3332-20000000000-10010000−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22000000000000000000-6-66633-3-3-220000000000100-100002ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34−2ζ14−2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ342ζ14+2ζ22000000000000000000
χ10166-6-6-3-3332-20000000000-100100002ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ34000000000000000000-6-66633-3-3-220000000000100-10000−2ζ14−2ζ222ζ14+2ζ26−2ζ342ζ22−2ζ26+2ζ342ζ14+2ζ22−2ζ14−2ζ26+2ζ34−2ζ22+2ζ26−2ζ34000000000000000000
χ10266-6-6-3-333-660000000000300-30000000000000000000000000000-6-66633-3-36-60000000000-30030000000000000000000000000000
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 36 (ζ36 = 1); i = ζ9.