Finite Group Databasebeta

← Group #13161760

Character table — Group #13161760

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222222222244444444444444444444444444444444448888888888888888888888888888888888181818181818363636363636363636727272727272727272727272
order1223334466612123333366666666881212121212121212121212121212122424242466666121212121224242424242424242424242424242424242424242424242488242424242466812122424246688121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111
χ511111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1111111-1-111-1-1-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111-1-11111
χ711111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11-111-11-1-1-1-111
χ811111111111111111111111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11-1-11-11111-1-1
χ9222222-2-2222-2-222222222222222i−2i-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22i2i−2i−2i22222-2-2-2-2-22i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000
χ10222222-2-2222-2-22222222222222−2i2i-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i22222-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i000000000000000000000000000
χ1122222-122-122222-1-1-1-122-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-100000000000000020-1-12000-1-100
χ1222222-122-122222-1-1-1-122-12-1-1-1-1222-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-12-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000000000-2011-20001100
χ1322222-122-122222-1-1-1-122-12-1-1-1-1-2-22-1222-1-1-1-1-1-1-1-1-12-2-2-2-22-1-1-1-12-1-1-1-1-2-2-2111111111-2-2-211111111100000000000000020-1-1-20001100
χ1422222-122-122222-1-1-1-122-12-1-1-1-1-2-22-1222-1-1-1-1-1-1-1-1-12-2-2-2-22-1-1-1-12-1-1-1-1-2-2-2111111111-2-2-2111111111000000000000000-20112000-1-100
χ1522222-1-2-2-122-2-22-1-1-1-122-12-1-1-1-12i−2i-21-2-2-2111111111-22i2i−2i−2i2-1-1-1-1-211112i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2iiiiiiiiii00000000000000000−i3i300003−300
χ1622222-1-2-2-122-2-22-1-1-1-122-12-1-1-1-12i−2i-21-2-2-2111111111-22i2i−2i−2i2-1-1-1-1-211112i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2iiiiiiiiii00000000000000000i3−i30000−3300
χ1722222-1-2-2-122-2-22-1-1-1-122-12-1-1-1-1−2i2i-21-2-2-2111111111-2−2i−2i2i2i2-1-1-1-1-21111−2i−2i−2iiiiiiiiii2i2i2i−i−i−i−i−i−i−i−i−i00000000000000000−i3i30000−3300
χ1822222-1-2-2-122-2-22-1-1-1-122-12-1-1-1-1−2i2i-21-2-2-2111111111-2−2i−2i2i2i2-1-1-1-1-21111−2i−2i−2iiiiiiiiii2i2i2i−i−i−i−i−i−i−i−i−i00000000000000000i3−i300003−300
χ192222-12222-12-1-1-12-1-1-12-12-12-1-1-122-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-12-1-1-12-1-1222-1-1-1-1-1-12-1-1222-1-1-1-1-1-122-1-1-1-122-1-12-1-1-1-1000000000000
χ202222-12222-12-1-1-12-1-1-12-12-12-1-1-122-122-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-12-1-1-12-1-1222-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-2-21111-2-211-21111000000000000
χ212222-12222-12-1-1-12-1-1-12-12-12-1-1-1-2-2-122-1-122-1-1-1-1-1-1221111-12-1-1-1-12-1-1-1-211-2-2-2111111-211-2-2-211111122-1-1-1-1-2-211211-1-1000000000000
χ222222-12222-12-1-1-12-1-1-12-12-12-1-1-1-2-2-122-1-122-1-1-1-1-1-1221111-12-1-1-1-12-1-1-1-211-2-2-2111111-211-2-2-2111111-2-2111122-1-1-2-1-111000000000000
χ232222-12-2-22-1211-12-1-1-12-12-12-1-1-12i−2i1-2-211-2-2111111-2-2−i−iii-12-1-1-11-21112i−i−i2i2i2i−i−i−i−i−i−i−2iii−2i−2i−2iiiiiii0033−3−300−i3i30−i3i33−3000000000000
χ242222-12-2-22-1211-12-1-1-12-12-12-1-1-12i−2i1-2-211-2-2111111-2-2−i−iii-12-1-1-11-21112i−i−i2i2i2i−i−i−i−i−i−i−2iii−2i−2i−2iiiiiii00−3−33300i3−i30i3−i3−33000000000000
χ252222-12-2-22-1211-12-1-1-12-12-12-1-1-1−2i2i1-2-211-2-2111111-2-2ii−i−i-12-1-1-11-2111−2iii−2i−2i−2iiiiiii2i−i−i2i2i2i−i−i−i−i−i−i0033−3−300i3−i30i3−i33−3000000000000
χ262222-12-2-22-1211-12-1-1-12-12-12-1-1-1−2i2i1-2-211-2-2111111-2-2ii−i−i-12-1-1-11-2111−2iii−2i−2i−2iiiiiii2i−i−i2i2i2i−i−i−i−i−i−i00−3−33300−i3i30−i3i3−33000000000000
χ27222-1222222-122-1-12-1-1-122-1-12-1-12222-1-1-1-1-122-1-1-1-12-12222-1-12-1-1-1-12-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1000000000000000020002-1-100-1-1
χ28222-1222222-122-1-12-1-1-122-1-12-1-12222-1-1-1-1-122-1-1-1-12-12222-1-12-1-1-1-12-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-122-1-1-1-10000000000000000-2000-2110011
χ29222-1222222-122-1-12-1-1-122-1-12-1-1-2-222-1-1-1-1-122-1-1-1-12-1-2-2-2-2-1-12-1-1-1-12-1-1111-211-2-21111111-211-2-2111100000000000000002000-2-1-10011
χ30222-1222222-122-1-12-1-1-122-1-12-1-1-2-222-1-1-1-1-122-1-1-1-12-1-2-2-2-2-1-12-1-1-1-12-1-1111-211-2-21111111-211-2-211110000000000000000-200021100-1-1
χ31222-122-2-222-1-2-2-1-12-1-1-122-1-12-1-12i−2i-2-211111-2-21111-212i2i−2i−2i-1-12-1-111-211−i−i−i2i−i−i2i2i−i−i−i−iiii−2iii−2i−2iiiii000000000000000000000−i3i3003−3
χ32222-122-2-222-1-2-2-1-12-1-1-122-1-12-1-12i−2i-2-211111-2-21111-212i2i−2i−2i-1-12-1-111-211−i−i−i2i−i−i2i2i−i−i−i−iiii−2iii−2i−2iiiii000000000000000000000i3−i300−33
χ33222-122-2-222-1-2-2-1-12-1-1-122-1-12-1-1−2i2i-2-211111-2-21111-21−2i−2i2i2i-1-12-1-111-211iii−2iii−2i−2iiiii−i−i−i2i−i−i2i2i−i−i−i−i000000000000000000000−i3i300−33
χ34222-122-2-222-1-2-2-1-12-1-1-122-1-12-1-1−2i2i-2-211111-2-21111-21−2i−2i2i2i-1-12-1-111-211iii−2iii−2i−2iiiii−i−i−i2i−i−i2i2i−i−i−i−i000000000000000000000i3−i3003−3
χ3522-22222-22222222222-2-2-22222200-2222222222222-2-20000-2-2-2-2-2-2-2-2-2-20000000000000000000000002222220000-200-2-2000000000000
χ3622-22222-22222222222-2-2-22222200-2222222222222-2-20000-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2000020022000000000000
χ3722-2222-22222-2-222222-2-2-222222002-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-2-2222220000000000000000000000000000002-2220-2-200000000000000
χ3822-2222-22222-2-222222-2-2-222222002-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-2-222222000000000000000000000000000000-22-2-202200000000000000
χ3922-22-122-22-12-1-1-12-1-1-1-21-2-12-1-1-100122-1-122-1-1-1-1-1-1-2-2−i3i3−i3i31-21111-21110−i3i3000−i3i3−i3−i3i3i30−i3i3000−i3i3−i3−i3i3i322-1-1-1-100−i3i3-2i3−i311000000000000
χ4022-22-122-22-12-1-1-12-1-1-1-21-2-12-1-1-100122-1-122-1-1-1-1-1-1-2-2−i3i3−i3i31-21111-21110−i3i3000−i3i3−i3−i3i3i30−i3i3000−i3i3−i3−i3i3i3-2-2111100i3−i32−i3i3-1-1000000000000
χ4122-22-122-22-12-1-1-12-1-1-1-21-2-12-1-1-100122-1-122-1-1-1-1-1-1-2-2i3−i3i3−i31-21111-21110i3−i3000i3−i3i3i3−i3−i30i3−i3000i3−i3i3i3−i3−i322-1-1-1-100i3−i3-2−i3i311000000000000
χ4222-22-122-22-12-1-1-12-1-1-1-21-2-12-1-1-100122-1-122-1-1-1-1-1-1-2-2i3−i3i3−i31-21111-21110i3−i3000i3−i3i3i3−i3−i30i3−i3000i3−i3i3i3−i3−i3-2-2111100−i3i32i3−i3-1-1000000000000
χ4322-22-12-222-1211-12-1-1-1-21-2-12-1-1-100-1-2-211-2-2111111223−3−331-2111-12-1-1-103−30003−333−3−30−33000−33−3−3330033−3−32-2-1-1011−33000000000000
χ4422-22-12-222-1211-12-1-1-1-21-2-12-1-1-100-1-2-211-2-2111111223−3−331-2111-12-1-1-103−30003−333−3−30−33000−33−3−33300−3−333-22110-1-13−3000000000000
χ4522-22-12-222-1211-12-1-1-1-21-2-12-1-1-100-1-2-211-2-211111122−333−31-2111-12-1-1-10−33000−33−3−33303−30003−333−3−30033−3−3-22110-1-1−33000000000000
χ4622-22-12-222-1211-12-1-1-1-21-2-12-1-1-100-1-2-211-2-211111122−333−31-2111-12-1-1-10−33000−33−3−33303−30003−333−3−300−3−3332-2-1-10113−3000000000000
χ474444-2-244-2-24-2-2-2-21114-2-2-2-211144-2-24-2-2-2-2111111-24-2-2-2-2-2-2111-2-21114-2-2-2-2-21111114-2-2-2-2-2111111000000000000000000000000000
χ484444-2-244-2-24-2-2-2-21114-2-2-2-2111-4-4-2-24-2-2-2-2111111-242222-2-2111-2-2111-422222-1-1-1-1-1-1-422222-1-1-1-1-1-1000000000000000000000000000
χ494444-2-2-4-4-2-2422-2-21114-2-2-2-21114i−4i22-42222-1-1-1-1-1-12-4−2i−2i2i2i-2-211122-1-1-14i−2i−2i−2i−2i−2iiiiiii−4i2i2i2i2i2i−i−i−i−i−i−i000000000000000000000000000
χ504444-2-2-4-4-2-2422-2-21114-2-2-2-2111−4i4i22-42222-1-1-1-1-1-12-42i2i−2i−2i-2-211122-1-1-1−4i2i2i2i2i2i−i−i−i−i−i−i4i−2i−2i−2i−2i−2iiiiiii000000000000000000000000000
χ51444-24-244-24-244-21-211-24-2-21-211444-2-2-2-211-2-21111-2-24444-21-211-21-211-2-2-2-211-2-21111-2-2-2-211-2-21111000000000000000000000000000
χ52444-24-244-24-244-21-211-24-2-21-211-4-44-2-2-2-211-2-21111-2-2-4-4-4-4-21-211-21-2112222-1-122-1-1-1-12222-1-122-1-1-1-1000000000000000000000000000
χ53444-24-2-4-4-24-2-4-4-21-211-24-2-21-2114i−4i-42222-1-122-1-1-1-1224i4i−4i−4i-21-2112-12-1-1−2i−2i−2i−2iii−2i−2iiiii2i2i2i2i−i−i2i2i−i−i−i−i000000000000000000000000000
χ54444-24-2-4-4-24-2-4-4-21-211-24-2-21-211−4i4i-42222-1-122-1-1-1-122−4i−4i4i4i-21-2112-12-1-12i2i2i2i−i−i2i2i−i−i−i−i−2i−2i−2i−2iii−2i−2iiiii000000000000000000000000000
χ55444-2-24444-2-2-2-21-2-211-2-241-2-21144-24-211-2-2-2-211114-2-2-2-2-21-2-2111-2-211-2114-2-2-2-21111-2114-2-2-2-21111000000000000000000000000000
χ56444-2-24444-2-2-2-21-2-211-2-241-2-211-4-4-24-211-2-2-2-211114-222221-2-2111-2-2112-1-1-42222-1-1-1-12-1-1-42222-1-1-1-1000000000000000000000000000
χ57444-2-24-4-44-2-2221-2-211-2-241-2-2114i−4i2-42-1-12222-1-1-1-1-42−2i−2i2i2i1-2-211-122-1-1−2iii4i−2i−2i−2i−2iiiii2i−i−i−4i2i2i2i2i−i−i−i−i000000000000000000000000000
χ58444-2-24-4-44-2-2221-2-211-2-241-2-211−4i4i2-42-1-12222-1-1-1-1-422i2i−2i−2i1-2-211-122-1-12i−i−i−4i2i2i2i2i−i−i−i−i−2iii4i−2i−2i−2i−2iiiii000000000000000000000000000
χ59444-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i3244-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-211-21111−1−3i32−1+3i32−1−3i32−1+3i32-211-21111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000
χ60444-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i32-4-4-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2-22222111−1−3i32−1+3i32111−1−3i32−1+3i322-1-12-1-1-1-11+3i321−3i321+3i321−3i322-1-12-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000
χ61444-2-2-244-2-2-2-2-2111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i3244-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-211-21111−1+3i32−1−3i32−1+3i32−1−3i32-211-21111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000
χ62444-2-2-244-2-2-2-2-2111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i32-4-4-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2-22222111−1+3i32−1−3i32111−1+3i32−1−3i322-1-12-1-1-1-11−3i321+3i321−3i321+3i322-1-12-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000
χ63444-2-2-2-4-4-2-2-222111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i324i−4i222-1-1-1-1-1-11+3i321+3i321−3i321−3i3222−2i−2i2i2i111−1−3i32−1+3i32-1-1-11+3i321−3i32−2iii−2iiiii−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ222i−i−i2i−i−i−i−iζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22000000000000000000000000000
χ64444-2-2-2-4-4-2-2-222111−1−3i32−1+3i32-2-2-2111−1−3i32−1+3i32−4i4i222-1-1-1-1-1-11+3i321+3i321−3i321−3i32222i2i−2i−2i111−1−3i32−1+3i32-1-1-11+3i321−3i322i−i−i2i−i−i−i−iζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22−2iii−2iiiii−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22000000000000000000000000000
χ65444-2-2-2-4-4-2-2-222111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i324i−4i222-1-1-1-1-1-11−3i321−3i321+3i321+3i3222−2i−2i2i2i111−1+3i32−1−3i32-1-1-11−3i321+3i32−2iii−2iiiii2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222i−i−i2i−i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22000000000000000000000000000
χ66444-2-2-2-4-4-2-2-222111−1+3i32−1−3i32-2-2-2111−1+3i32−1−3i32−4i4i222-1-1-1-1-1-11−3i321−3i321+3i321+3i32222i2i−2i−2i111−1+3i32−1−3i32-1-1-11−3i321+3i322i−i−i2i−i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2iii−2iiiii2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ22000000000000000000000000000
χ6744-444-24-4-244444-2-2-2-2-4-424-2-2-2-200-4-2444-2-2-2-2-2-2-2-22-40000-42222-42222000000000000000000000000000000000000000000000000000
χ6844-444-2-44-244-4-44-2-2-2-2-4-424-2-2-2-20042-4-4-422222222-240000-422224-2-2-2-2000000000000000000000000000000000000000000000000000
χ6944-44-2-24-4-2-24-2-2-2-2111-422-2-2111002-24-2-2-2-21111112-4−2i32i3−2i32i322-1-1-122-1-1-10−2i32i3000i3−i3i3i3−i3−i30−2i32i3000i3−i3i3i3−i3−i3000000000000000000000000000
χ7044-44-2-24-4-2-24-2-2-2-2111-422-2-2111002-24-2-2-2-21111112-42i3−2i32i3−2i322-1-1-122-1-1-102i3−2i3000−i3i3−i3−i3i3i302i3−2i3000−i3i3−i3−i3i3i3000000000000000000000000000
χ7144-44-2-2-44-2-2422-2-2111-422-2-211100-22-42222-1-1-1-1-1-1-2423−23−232322-1-1-1-2-2111023−23000−33−3−3330−23230003−333−3−3000000000000000000000000000
χ7244-44-2-2-44-2-2422-2-2111-422-2-211100-22-42222-1-1-1-1-1-1-24−232323−2322-1-1-1-2-21110−23230003−333−3−3023−23000−33−3−333000000000000000000000000000
χ7344-4-2444-444-244-2-24-2-22-4-4-2-24-2-200-44-2-2-2-2-244-2-2-2-2-42000022-42222-422000000000000000000000000000000000000000000000000000
χ7444-4-244-4444-2-4-4-2-24-2-22-4-4-2-24-2-2004-422222-4-422224-2000022-422-2-24-2-2000000000000000000000000000000000000000000000000000
χ7544-4-24-24-4-24-244-21-2112-42-21-21100-4-2-2-2-211-2-211112200002-12-1-12-12-1-100003-3003-3-3300003-3003-3-33000000000000000000000000000
χ7644-4-24-24-4-24-244-21-2112-42-21-21100-4-2-2-2-211-2-211112200002-12-1-12-12-1-10000-3300-333-30000-3300-333-3000000000000000000000000000
χ7744-4-24-2-44-24-2-4-4-21-2112-42-21-2110042222-1-122-1-1-1-1-2-200002-12-1-1-21-21100003i−3i003i−3i−3i3i0000−3i3i00−3i3i3i−3i000000000000000000000000000
χ7844-4-24-2-44-24-2-4-4-21-2112-42-21-2110042222-1-122-1-1-1-1-2-200002-12-1-1-21-2110000−3i3i00−3i3i3i−3i00003i−3i003i−3i−3i3i000000000000000000000000000
χ7944-4-2-244-44-2-2-2-21-2-21122-41-2-2110024-211-2-2-2-21111-42−2i32i3−2i32i3-122-1-1-122-1-10i3−i3000−2i32i3i3i3−i3−i30i3−i3000−2i32i3i3i3−i3−i3000000000000000000000000000
χ8044-4-2-244-44-2-2-2-21-2-21122-41-2-2110024-211-2-2-2-21111-422i3−2i32i3−2i3-122-1-1-122-1-10−i3i30002i3−2i3−i3−i3i3i30−i3i30002i3−2i3−i3−i3i3i3000000000000000000000000000
χ8144-4-2-24-444-2-2221-2-21122-41-2-21100-2-42-1-12222-1-1-1-14-223−23−2323-122-1-11-2-2110−3300023−23−3−33303−3000−232333−3−3000000000000000000000000000
χ8244-4-2-24-444-2-2221-2-21122-41-2-21100-2-42-1-12222-1-1-1-14-2−232323−23-122-1-11-2-21103−3000−232333−3−30−3300023−23−3−333000000000000000000000000000
χ8344-4-2-2-24-4-2-2-2-2-2111−1−3i32−1+3i32222111−1−3i32−1+3i32002-2-2111111−1−3i32−1−3i32−1+3i32−1+3i3222−2i32i3−2i32i3-1-1-11+3i321−3i32-1-1-11+3i321−3i320i3−i303-3i3−i3−3−i323−i323+i32−3+i320i3−i303-3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000
χ8444-4-2-2-24-4-2-2-2-2-2111−1−3i32−1+3i32222111−1−3i32−1+3i32002-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32222i3−2i32i3−2i3-1-1-11+3i321−3i32-1-1-11+3i321−3i320−i3i30-33−i3i33+i32−3+i32−3−i323−i320−i3i30-33−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000
χ8544-4-2-2-24-4-2-2-2-2-2111−1+3i32−1−3i32222111−1+3i32−1−3i32002-2-2111111−1+3i32−1+3i32−1−3i32−1−3i3222−2i32i3−2i32i3-1-1-11−3i321+3i32-1-1-11−3i321+3i320i3−i30-33i3−i33−i32−3−i32−3+i323+i320i3−i30-33i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000
χ8644-4-2-2-24-4-2-2-2-2-2111−1+3i32−1−3i32222111−1+3i32−1−3i32002-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32222i3−2i32i3−2i3-1-1-11−3i321+3i32-1-1-11−3i321+3i320−i3i303-3−i3i3−3+i323+i323−i32−3−i320−i3i303-3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000
χ8744-4-2-2-2-44-2-2-222111−1−3i32−1+3i32222111−1−3i32−1+3i3200-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-223−23−2323-1-1-11+3i321−3i32111−1−3i32−1+3i320−3303i−3i−33ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ2203−30−3i3i3−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000000000000000000
χ8844-4-2-2-2-44-2-2-222111−1−3i32−1+3i32222111−1−3i32−1+3i3200-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-2−232323−23-1-1-11+3i321−3i32111−1−3i32−1+3i3203−30−3i3i3−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ220−3303i−3i−33ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000000000000000000
χ8944-4-2-2-2-44-2-2-222111−1+3i32−1−3i32222111−1+3i32−1−3i3200-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-223−23−2323-1-1-11−3i321+3i32111−1+3i32−1−3i320−330−3i3i−33−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ2203−303i−3i3−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000000
χ9044-4-2-2-2-44-2-2-222111−1+3i32−1−3i32222111−1+3i32−1−3i3200-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-2−232323−23-1-1-11−3i321+3i32111−1+3i32−1−3i3203−303i−3i3−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ220−330−3i3i−33−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000000
χ914-4044400-4-4-40044444000-4-4-4-4-40000000000000000000000000000000000000000000000000000000−2i22i2−2i22i2−2i22i2000000000000000000000
χ924-4044400-4-4-40044444000-4-4-4-4-400000000000000000000000000000000000000000000000000000002i2−2i22i2−2i22i2−2i2000000000000000000000
χ934-404-2400-42-423−23-24-2-2-20002-42220000023−230023−2323−2323−230000000000000000000000000000000000000000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000000000000
χ944-404-2400-42-423−23-24-2-2-20002-42220000023−230023−2323−2323−2300000000000000000000000000000000000000002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000000000000
χ954-404-2400-42-4−2323-24-2-2-20002-422200000−232300−2323−2323−23230000000000000000000000000000000000000000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000000000000
χ964-404-2400-42-4−2323-24-2-2-20002-422200000−232300−2323−2323−232300000000000000000000000000000000000000002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000000000000
χ978-8088-4004-8-8008-4-4-4-4000-844440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-808-4-40044-843−43-4-422200044-2-2-20000043−4300−2323−2323−23230000000000000000000000000000000000000000000000000000000000000000000
χ998-808-4-40044-8−4343-4-422200044-2-2-200000−43430023−2323−2323−230000000000000000000000000000000000000000000000000000000000000000000
χ1008-80-48800-8-8400-4-48-4-400044-8440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-80-48-4004-8400-42-4220004-24-2-200000006i−6i006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000
χ1028-80-48-4004-8400-42-4220004-24-2-20000000−6i6i00−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000
χ1038-80-4-4800-84443−432-4-422000-244-2-200000−23230043−43−2323−23230000000000000000000000000000000000000000000000000000000000000000000
χ1048-80-4-4800-844−43432-4-422000-244-2-20000023−2300−434323−2323−230000000000000000000000000000000000000000000000000000000000000000000
χ1058-80-4-4-40044443−43222−1−3i3−1+3i3000-2-2-21+3i31−3i300000−23236i−6i−23232ζ14+4ζ22−2ζ14−4ζ22−4ζ14−2ζ224ζ14+2ζ220000000000000000000000000000000000000000000000000000000000000000000
χ1068-80-4-4-40044443−43222−1+3i3−1−3i3000-2-2-21−3i31+3i300000−2323−6i6i−2323−4ζ14−2ζ224ζ14+2ζ222ζ14+4ζ22−2ζ14−4ζ220000000000000000000000000000000000000000000000000000000000000000000
χ1078-80-4-4-400444−4343222−1−3i3−1+3i3000-2-2-21+3i31−3i30000023−23−6i6i23−23−2ζ14−4ζ222ζ14+4ζ224ζ14+2ζ22−4ζ14−2ζ220000000000000000000000000000000000000000000000000000000000000000000
χ1088-80-4-4-400444−4343222−1+3i3−1−3i3000-2-2-21−3i31+3i30000023−236i−6i23−234ζ14+2ζ22−4ζ14−2ζ22−2ζ14−4ζ222ζ14+4ζ220000000000000000000000000000000000000000000000000000000000000000000

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