Finite Group Databasebeta

← Group #13180667

Character table — Group #13180667

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11444444446999999161616161616161624243636363636363636363636365454541144444444699999916161616161616162424363636363636363636363636545454
order1233336666444888833336666121212121212242424242424242428822666666664448888666666661212121212122424242424242424288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-11111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1
χ311111111111-1-1ii−i−i1111111111-1-1-1-1iiii−i−i−i−i-1i−i11111111111-1-1ii−i−i1111111111-1-1-1-1iiii−i−i−i−i-1i−i
χ411111111111-1-1−i−iii1111111111-1-1-1-1−i−i−i−iiiii-1−ii11111111111-1-1−i−iii1111111111-1-1-1-1−i−i−i−iiiii-1−ii
χ51111−1−i32−1+i3211−1−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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i3211−1−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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111
χ61111−1−i32−1+i3211−1−i32−1+i32111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321-1-11111−1−i32−1+i3211−1−i32−1+i32111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321-1-1
χ71111−1−i32−1+i3211−1−i32−1+i321-1-1ii−i−i−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i32ζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ14-1i−i1111−1−i32−1+i3211−1−i32−1+i321-1-1ii−i−i−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i32ζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ14-1i−i
χ81111−1−i32−1+i3211−1−i32−1+i321-1-1−i−iii−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i32−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ14-1−ii1111−1−i32−1+i3211−1−i32−1+i321-1-1−i−iii−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i32−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ14-1−ii
χ91111−1+i32−1−i3211−1+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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i3211−1+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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111
χ101111−1+i32−1−i3211−1+i32−1−i32111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321-1-11111−1+i32−1−i3211−1+i32−1−i32111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321-1-1
χ111111−1+i32−1−i3211−1+i32−1−i321-1-1ii−i−i−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32ζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ22-1i−i1111−1+i32−1−i3211−1+i32−1−i321-1-1ii−i−i−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32ζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ22-1i−i
χ121111−1+i32−1−i3211−1+i32−1−i321-1-1−i−iii−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ22-1−ii1111−1+i32−1−i3211−1+i32−1−i321-1-1−i−iii−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ22-1−ii
χ132-222-1-1-2-21102i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-1-1-1-1111100i−ii−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ130002-222-1-1-2-21102i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-1-1-1-1111100i−ii−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13000
χ142-222-1-1-2-21102i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-1-1-1-1111100i−ii−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ130002-222-1-1-2-21102i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-1-1-1-1111100i−ii−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13000
χ152-222-1-1-2-2110−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-1-1-1-1111100−ii−ii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ230002-222-1-1-2-2110−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-1-1-1-1111100−ii−ii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23000
χ162-222-1-1-2-2110−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-1-1-1-1111100−ii−iiζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ230002-222-1-1-2-2110−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-1-1-1-1111100−ii−iiζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23000
χ172-2221+i321−i32-2-2−1−i32−1+i3202i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200ζ22−ζ22ζ14−ζ14−ζ7ζ7−ζ23ζ23ζ13−ζ13ζ5−ζ50002-2221+i321−i32-2-2−1−i32−1+i3202i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200ζ22−ζ22ζ14−ζ14−ζ7ζ7−ζ23ζ23ζ13−ζ13ζ5−ζ5000
χ182-2221+i321−i32-2-2−1−i32−1+i3202i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200ζ22−ζ22ζ14−ζ14ζ7−ζ7ζ23−ζ23−ζ13ζ13−ζ5ζ50002-2221+i321−i32-2-2−1−i32−1+i3202i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200ζ22−ζ22ζ14−ζ14ζ7−ζ7ζ23−ζ23−ζ13ζ13−ζ5ζ5000
χ192-2221+i321−i32-2-2−1−i32−1+i320−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200−ζ22ζ22−ζ14ζ14ζ13−ζ13ζ5−ζ5−ζ7ζ7−ζ23ζ230002-2221+i321−i32-2-2−1−i32−1+i320−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200−ζ22ζ22−ζ14ζ14ζ13−ζ13ζ5−ζ5−ζ7ζ7−ζ23ζ23000
χ202-2221+i321−i32-2-2−1−i32−1+i320−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200−ζ22ζ22−ζ14ζ14−ζ13ζ13−ζ5ζ5ζ7−ζ7ζ23−ζ230002-2221+i321−i32-2-2−1−i32−1+i320−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200−ζ22ζ22−ζ14ζ14−ζ13ζ13−ζ5ζ5ζ7−ζ7ζ23−ζ23000
χ212-2221−i321+i32-2-2−1+i32−1−i3202i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200ζ14−ζ14ζ22−ζ22−ζ23ζ23−ζ7ζ7ζ5−ζ5ζ13−ζ130002-2221−i321+i32-2-2−1+i32−1−i3202i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200ζ14−ζ14ζ22−ζ22−ζ23ζ23−ζ7ζ7ζ5−ζ5ζ13−ζ13000
χ222-2221−i321+i32-2-2−1+i32−1−i3202i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200ζ14−ζ14ζ22−ζ22ζ23−ζ23ζ7−ζ7−ζ5ζ5−ζ13ζ130002-2221−i321+i32-2-2−1+i32−1−i3202i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200ζ14−ζ14ζ22−ζ22ζ23−ζ23ζ7−ζ7−ζ5ζ5−ζ13ζ13000
χ232-2221−i321+i32-2-2−1+i32−1−i320−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200−ζ14ζ14−ζ22ζ22ζ5−ζ5ζ13−ζ13−ζ23ζ23−ζ7ζ70002-2221−i321+i32-2-2−1+i32−1−i320−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200−ζ14ζ14−ζ22ζ22ζ5−ζ5ζ13−ζ13−ζ23ζ23−ζ7ζ7000
χ242-2221−i321+i32-2-2−1+i32−1−i320−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200−ζ14ζ14−ζ22ζ22−ζ5ζ5−ζ13ζ13ζ23−ζ23ζ7−ζ70002-2221−i321+i32-2-2−1+i32−1−i320−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200−ζ14ζ14−ζ22ζ22−ζ5ζ5−ζ13ζ13ζ23−ζ23ζ7−ζ7000
χ253333003300-133333300000000-1-1000000000000-1-1-13333003300-133333300000000-1-1000000000000-1-1-1
χ263333003300-133-3-3-3-300000000-1-1000000000000-1113333003300-133-3-3-3-300000000-1-1000000000000-111
χ273333003300-1-3-33i3i−3i−3i00000000-1-10000000000001−ii3333003300-1-3-33i3i−3i−3i00000000-1-10000000000001−ii
χ283333003300-1-3-3−3i−3i3i3i00000000-1-10000000000001i−i3333003300-1-3-3−3i−3i3i3i00000000-1-10000000000001i−i
χ29441-2441-24440000001-21-21-21-21-2000000000000000441-2441-24440000001-21-21-21-21-2000000000000000
χ30441-2−2−2i3−2+2i31-2−2−2i3−2+2i34000000−1−i321+i3−1+i321−i3−1−i321+i3−1+i321−i31-2000000000000000441-2−2−2i3−2+2i31-2−2−2i3−2+2i34000000−1−i321+i3−1+i321−i3−1−i321+i3−1+i321−i31-2000000000000000
χ31441-2−2+2i3−2−2i31-2−2+2i3−2−2i34000000−1+i321−i3−1−i321+i3−1+i321−i3−1−i321+i31-2000000000000000441-2−2+2i3−2−2i31-2−2+2i3−2−2i34000000−1+i321−i3−1−i321+i3−1+i321−i3−1−i321+i31-2000000000000000
χ3244-2144-21444000000-21-21-21-21-2100000000000000044-2144-21444000000-21-21-21-21-21000000000000000
χ3344-21−2−2i3−2+2i3-21−2−2i3−2+2i340000001+i3−1−i321−i3−1+i321+i3−1−i321−i3−1+i32-2100000000000000044-21−2−2i3−2+2i3-21−2−2i3−2+2i340000001+i3−1−i321−i3−1+i321+i3−1−i321−i3−1+i32-21000000000000000
χ3444-21−2+2i3−2−2i3-21−2+2i3−2−2i340000001−i3−1+i321+i3−1−i321−i3−1+i321+i3−1−i32-2100000000000000044-21−2+2i3−2−2i3-21−2+2i3−2−2i340000001−i3−1+i321+i3−1−i321−i3−1+i321+i3−1−i32-21000000000000000
χ358-82-4-4-4-24440000000-12-121-21-2000000000000000008-82-4-4-4-24440000000-12-121-21-200000000000000000
χ368-82-42+2i32−2i3-24−2−2i3−2+2i300000001+i32−1−i31−i32−1+i3−1−i321+i3−1+i321−i3000000000000000008-82-42+2i32−2i3-24−2−2i3−2+2i300000001+i32−1−i31−i32−1+i3−1−i321+i3−1+i321−i300000000000000000
χ378-82-42−2i32+2i3-24−2+2i3−2−2i300000001−i32−1+i31+i32−1−i3−1+i321−i3−1−i321+i3000000000000000008-82-42−2i32+2i3-24−2+2i3−2−2i300000001−i32−1+i31+i32−1−i3−1+i321−i3−1−i321+i300000000000000000
χ388-8-42-4-44-24400000002-12-1-21-21000000000000000008-8-42-4-44-24400000002-12-1-21-2100000000000000000
χ398-8-422+2i32−2i34-2−2−2i3−2+2i30000000−1−i31+i32−1+i31−i321+i3−1−i321−i3−1+i32000000000000000008-8-422+2i32−2i34-2−2−2i3−2+2i30000000−1−i31+i32−1+i31−i321+i3−1−i321−i3−1+i3200000000000000000
χ408-8-422−2i32+2i34-2−2+2i3−2−2i30000000−1+i31−i32−1−i31+i321−i3−1+i321+i3−1−i32000000000000000008-8-422−2i32+2i34-2−2+2i3−2−2i30000000−1+i31−i32−1−i31+i321−i3−1+i321+i3−1−i3200000000000000000
χ4112123-6003-600-400000000000000-1200000000000000012123-6003-600-400000000000000-12000000000000000
χ421212-6300-6300-4000000000000002-10000000000000001212-6300-6300-4000000000000002-1000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111
χ4511111111111-1-1ii−i−i1111111111-1-1-1-1iiii−i−i−i−i-1i−i-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1−ii
χ4611111111111-1-1−i−iii1111111111-1-1-1-1−i−i−i−iiiii-1−ii-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1i−i
χ471111−1−i32−1+i3211−1−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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-11+i321−i32-1-11+i321−i32-1-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1
χ481111−1−i32−1+i3211−1−i32−1+i32111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321-1-1-1-1-1-11+i321−i32-1-11+i321−i32-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-111
χ491111−1−i32−1+i3211−1−i32−1+i321-1-1ii−i−i−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i32ζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ14-1i−i-1-1-1-11+i321−i32-1-11+i321−i32-111−i−iii1+i321+i321−i321−i321+i321+i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+i32−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ141−ii
χ501111−1−i32−1+i3211−1−i32−1+i321-1-1−i−iii−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111+i321+i321−i321−i32−ζ22−ζ22−ζ14−ζ14ζ22ζ22ζ14ζ14-1−ii-1-1-1-11+i321−i32-1-11+i321−i32-111ii−i−i1+i321+i321−i321−i321+i321+i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+i32ζ22ζ22ζ14ζ14−ζ22−ζ22−ζ14−ζ141i−i
χ511111−1+i32−1−i3211−1+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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1-1-11−i321+i32-1-11−i321+i32-1-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1
χ521111−1+i32−1−i3211−1+i32−1−i32111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321-1-1-1-1-1-11−i321+i32-1-11−i321+i32-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-111
χ531111−1+i32−1−i3211−1+i32−1−i321-1-1ii−i−i−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32ζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ22-1i−i-1-1-1-11−i321+i32-1-11−i321+i32-111−i−iii1−i321−i321+i321+i321−i321−i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i32−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ221−ii
χ541111−1+i32−1−i3211−1+i32−1−i321-1-1−i−iii−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−i321−i321+i321+i32−ζ14−ζ14−ζ22−ζ22ζ14ζ14ζ22ζ22-1−ii-1-1-1-11−i321+i32-1-11−i321+i32-111ii−i−i1−i321−i321+i321+i321−i321−i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i32ζ14ζ14ζ22ζ22−ζ14−ζ14−ζ22−ζ221i−i
χ552-222-1-1-2-21102i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-1-1-1-1111100i−ii−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13000-22-2-21122-1-10−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131111-1-1-1-100−ii−ii−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13000
χ562-222-1-1-2-21102i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-1-1-1-1111100i−ii−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13000-22-2-21122-1-10−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131111-1-1-1-100−ii−iiζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13000
χ572-222-1-1-2-2110−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-1-1-1-1111100−ii−ii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23000-22-2-21122-1-102i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231111-1-1-1-100i−ii−iζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23000
χ582-222-1-1-2-2110−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-1-1-1-1111100−ii−iiζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23000-22-2-21122-1-102i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231111-1-1-1-100i−ii−i−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23000
χ592-2221+i321−i32-2-2−1−i32−1+i3202i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200ζ22−ζ22ζ14−ζ14−ζ7ζ7−ζ23ζ23ζ13−ζ13ζ5−ζ5000-22-2-2−1−i32−1+i32221+i321−i320−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3200−ζ22ζ22−ζ14ζ14ζ7−ζ7ζ23−ζ23−ζ13ζ13−ζ5ζ5000
χ602-2221+i321−i32-2-2−1−i32−1+i3202i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200ζ22−ζ22ζ14−ζ14ζ7−ζ7ζ23−ζ23−ζ13ζ13−ζ5ζ5000-22-2-2−1−i32−1+i32221+i321−i320−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3200−ζ22ζ22−ζ14ζ14−ζ7ζ7−ζ23ζ23ζ13−ζ13ζ5−ζ5000
χ612-2221+i321−i32-2-2−1−i32−1+i320−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200−ζ22ζ22−ζ14ζ14ζ13−ζ13ζ5−ζ5−ζ7ζ7−ζ23ζ23000-22-2-2−1−i32−1+i32221+i321−i3202i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3200ζ22−ζ22ζ14−ζ14−ζ13ζ13−ζ5ζ5ζ7−ζ7ζ23−ζ23000
χ622-2221+i321−i32-2-2−1−i32−1+i320−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200−ζ22ζ22−ζ14ζ14−ζ13ζ13−ζ5ζ5ζ7−ζ7ζ23−ζ23000-22-2-2−1−i32−1+i32221+i321−i3202i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3200ζ22−ζ22ζ14−ζ14ζ13−ζ13ζ5−ζ5−ζ7ζ7−ζ23ζ23000
χ632-2221−i321+i32-2-2−1+i32−1−i3202i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200ζ14−ζ14ζ22−ζ22−ζ23ζ23−ζ7ζ7ζ5−ζ5ζ13−ζ13000-22-2-2−1+i32−1−i32221−i321+i320−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3200−ζ14ζ14−ζ22ζ22ζ23−ζ23ζ7−ζ7−ζ5ζ5−ζ13ζ13000
χ642-2221−i321+i32-2-2−1+i32−1−i3202i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200ζ14−ζ14ζ22−ζ22ζ23−ζ23ζ7−ζ7−ζ5ζ5−ζ13ζ13000-22-2-2−1+i32−1−i32221−i321+i320−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3200−ζ14ζ14−ζ22ζ22−ζ23ζ23−ζ7ζ7ζ5−ζ5ζ13−ζ13000
χ652-2221−i321+i32-2-2−1+i32−1−i320−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200−ζ14ζ14−ζ22ζ22ζ5−ζ5ζ13−ζ13−ζ23ζ23−ζ7ζ7000-22-2-2−1+i32−1−i32221−i321+i3202i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3200ζ14−ζ14ζ22−ζ22−ζ5ζ5−ζ13ζ13ζ23−ζ23ζ7−ζ7000
χ662-2221−i321+i32-2-2−1+i32−1−i320−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200−ζ14ζ14−ζ22ζ22−ζ5ζ5−ζ13ζ13ζ23−ζ23ζ7−ζ7000-22-2-2−1+i32−1−i32221−i321+i3202i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3200ζ14−ζ14ζ22−ζ22ζ5−ζ5ζ13−ζ13−ζ23ζ23−ζ7ζ7000
χ673333003300-133333300000000-1-1000000000000-1-1-1-3-3-3-300-3-3001-3-3-3-3-3-30000000011000000000000111
χ683333003300-133-3-3-3-300000000-1-1000000000000-111-3-3-3-300-3-3001-3-3333300000000110000000000001-1-1
χ693333003300-1-3-33i3i−3i−3i00000000-1-10000000000001−ii-3-3-3-300-3-300133−3i−3i3i3i0000000011000000000000-1i−i
χ703333003300-1-3-3−3i−3i3i3i00000000-1-10000000000001i−i-3-3-3-300-3-3001333i3i−3i−3i0000000011000000000000-1−ii
χ71441-2441-24440000001-21-21-21-21-2000000000000000-4-4-12-4-4-12-4-4-4000000-12-12-12-12-12000000000000000
χ72441-2−2−2i3−2+2i31-2−2−2i3−2+2i34000000−1−i321+i3−1+i321−i3−1−i321+i3−1+i321−i31-2000000000000000-4-4-122+2i32−2i3-122+2i32−2i3-40000001+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i3-12000000000000000
χ73441-2−2+2i3−2−2i31-2−2+2i3−2−2i34000000−1+i321−i3−1−i321+i3−1+i321−i3−1−i321+i31-2000000000000000-4-4-122−2i32+2i3-122−2i32+2i3-40000001−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i3-12000000000000000
χ7444-2144-21444000000-21-21-21-21-21000000000000000-4-42-1-4-42-1-4-4-40000002-12-12-12-12-1000000000000000
χ7544-21−2−2i3−2+2i3-21−2−2i3−2+2i340000001+i3−1−i321−i3−1+i321+i3−1−i321−i3−1+i32-21000000000000000-4-42-12+2i32−2i32-12+2i32−2i3-4000000−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i322-1000000000000000
χ7644-21−2+2i3−2−2i3-21−2+2i3−2−2i340000001−i3−1+i321+i3−1−i321−i3−1+i321+i3−1−i32-21000000000000000-4-42-12−2i32+2i32-12−2i32+2i3-4000000−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i322-1000000000000000
χ778-82-4-4-4-24440000000-12-121-21-200000000000000000-88-24442-4-4-400000001-21-2-12-1200000000000000000
χ788-82-42+2i32−2i3-24−2−2i3−2+2i300000001+i32−1−i31−i32−1+i3−1−i321+i3−1+i321−i300000000000000000-88-24−2−2i3−2+2i32-42+2i32−2i30000000−1−i321+i3−1+i321−i31+i32−1−i31−i32−1+i300000000000000000
χ798-82-42−2i32+2i3-24−2+2i3−2−2i300000001−i32−1+i31+i32−1−i3−1+i321−i3−1−i321+i300000000000000000-88-24−2+2i3−2−2i32-42−2i32+2i30000000−1+i321−i3−1−i321+i31−i32−1+i31+i32−1−i300000000000000000
χ808-8-42-4-44-24400000002-12-1-21-2100000000000000000-884-244-42-4-40000000-21-212-12-100000000000000000
χ818-8-422+2i32−2i34-2−2−2i3−2+2i30000000−1−i31+i32−1+i31−i321+i3−1−i321−i3−1+i3200000000000000000-884-2−2−2i3−2+2i3-422+2i32−2i300000001+i3−1−i321−i3−1+i32−1−i31+i32−1+i31−i3200000000000000000
χ828-8-422−2i32+2i34-2−2+2i3−2−2i30000000−1+i31−i32−1−i31+i321−i3−1+i321+i3−1−i3200000000000000000-884-2−2+2i3−2−2i3-422−2i32+2i300000001−i3−1+i321+i3−1−i32−1+i31−i32−1−i31+i3200000000000000000
χ8312123-6003-600-400000000000000-12000000000000000-12-12-3600-36004000000000000001-2000000000000000
χ841212-6300-6300-4000000000000002-1000000000000000-12-126-3006-300400000000000000-21000000000000000

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