Finite Group Databasebeta

← Group #13173259

Character table — Group #13173259

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112444444488888899161616161818181818363636363636363636112444444488888899161616161818181818363636363636363636112444444488888899161616161818181818363636363636363636
order1243344668121224242424441212121228888224488888361233121266241212242424241212121212126242424246612122424242424361233121266241212242424241212121212126242424246612122424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-111-1-11-1-1-1-111111111111111111111111-1-1-1-111-1-11-1-1-1-111111111111111111111111-1-1-1-111-1-11-1-1-1-1
χ31111111111111111-1-11111-1ii−i−i-1-1i−i-1ii−i−i1111111111111111-1-11111-1ii−i−i-1-1i−i-1ii−i−i1111111111111111-1-11111-1ii−i−i-1-1i−i-1ii−i−i
χ41111111111111111-1-11111-1−i−iii-1-1−ii-1−i−iii1111111111111111-1-11111-1−i−iii-1-1−ii-1−i−iii1111111111111111-1-11111-1−i−iii-1-1−ii-1−i−iii
χ5111111-111-111-1-1-1-11111-1-1111111-1-1-1-11-11-1111111-111-111-1-1-1-11111-1-1111111-1-1-1-11-11-1111111-111-111-1-1-1-11111-1-1111111-1-1-1-11-11-1
χ6111111-111-111-1-1-1-11111-1-11-1-1-1-11-111-1-11-11111111-111-111-1-1-1-11111-1-11-1-1-1-11-111-1-11-11111111-111-111-1-1-1-11111-1-11-1-1-1-11-111-1-11-11
χ7111111-111-111-1-1-1-1-1-111-1-1-1ii−i−i-11−ii1i−i−ii111111-111-111-1-1-1-1-1-111-1-1-1ii−i−i-11−ii1i−i−ii111111-111-111-1-1-1-1-1-111-1-1-1ii−i−i-11−ii1i−i−ii
χ8111111-111-111-1-1-1-1-1-111-1-1-1−i−iii-11i−i1−iii−i111111-111-111-1-1-1-1-1-111-1-1-1−i−iii-11i−i1−iii−i111111-111-111-1-1-1-1-1-111-1-1-1−i−iii-11i−i1−iii−i
χ911111-1111-111-1-1-1-111-1-11111111-11-1-1-1-11-1111111-1111-111-1-1-1-111-1-11111111-11-1-1-1-11-1111111-1111-111-1-1-1-111-1-11111111-11-1-1-1-11-11
χ1011111-1111-111-1-1-1-111-1-1111-1-1-1-1-1111-11-11-111111-1111-111-1-1-1-111-1-1111-1-1-1-1-1111-11-11-111111-1111-111-1-1-1-111-1-1111-1-1-1-1-1111-11-11-1
χ1111111-1111-111-1-1-1-1-1-1-1-111-1ii−i−i1-1−ii1−iii−i11111-1111-111-1-1-1-1-1-1-1-111-1ii−i−i1-1−ii1−iii−i11111-1111-111-1-1-1-1-1-1-1-111-1ii−i−i1-1−ii1−iii−i
χ1211111-1111-111-1-1-1-1-1-1-1-111-1−i−iii1-1i−i1i−i−ii11111-1111-111-1-1-1-1-1-1-1-111-1−i−iii1-1i−i1i−i−ii11111-1111-111-1-1-1-1-1-1-1-111-1−i−iii1-1i−i1i−i−ii
χ1311111-1-111111111111-1-1-1-111111-1-1111-1-1-1-111111-1-111111111111-1-1-1-111111-1-1111-1-1-1-111111-1-111111111111-1-1-1-111111-1-1111-1-1-1-1
χ1411111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-111111
χ1511111-1-1111111111-1-1-1-1-1-1-1ii−i−i11i−i-1−i−iii11111-1-1111111111-1-1-1-1-1-1-1ii−i−i11i−i-1−i−iii11111-1-1111111111-1-1-1-1-1-1-1ii−i−i11i−i-1−i−iii
χ1611111-1-1111111111-1-1-1-1-1-1-1−i−iii11−ii-1ii−i−i11111-1-1111111111-1-1-1-1-1-1-1−i−iii11−ii-1ii−i−i11111-1-1111111111-1-1-1-1-1-1-1−i−iii11−ii-1ii−i−i
χ1722-22200220-2-20000220000-22-22-200000000022-22200220-2-20000220000-22-22-200000000022-22200220-2-20000220000-22-22-2000000000
χ1822-22200220-2-20000220000-2-22-2200000000022-22200220-2-20000220000-2-22-2200000000022-22200220-2-20000220000-2-22-22000000000
χ1922-22200220-2-20000-2-2000022i−2i−2i2i00000000022-22200220-2-20000-2-2000022i−2i−2i2i00000000022-22200220-2-20000-2-2000022i−2i−2i2i000000000
χ2022-22200220-2-20000-2-200002−2i2i2i−2i00000000022-22200220-2-20000-2-200002−2i2i2i−2i00000000022-22200220-2-20000-2-200002−2i2i2i−2i000000000
χ214441-2441-241-211-2-2001-21-2000000000000004441-2441-241-211-2-2001-21-2000000000000004441-2441-241-211-2-2001-21-200000000000000
χ224441-24-41-2-41-2-1-122001-2-12000000000000004441-24-41-2-41-2-1-122001-2-12000000000000004441-24-41-2-41-2-1-122001-2-1200000000000000
χ234441-2-441-2-41-2-1-12200-121-2000000000000004441-2-441-2-41-2-1-12200-121-2000000000000004441-2-441-2-41-2-1-12200-121-200000000000000
χ244441-2-4-41-241-211-2-200-12-12000000000000004441-2-4-41-241-211-2-200-12-12000000000000004441-2-4-41-241-211-2-200-12-1200000000000000
χ25444-2144-214-21-2-21100-21-2100000000000000444-2144-214-21-2-21100-21-2100000000000000444-2144-214-21-2-21100-21-2100000000000000
χ26444-214-4-21-4-2122-1-100-212-100000000000000444-214-4-21-4-2122-1-100-212-100000000000000444-214-4-21-4-2122-1-100-212-100000000000000
χ27444-21-44-21-4-2122-1-1002-1-2100000000000000444-21-44-21-4-2122-1-1002-1-2100000000000000444-21-44-21-4-2122-1-1002-1-2100000000000000
χ28444-21-4-4-214-21-2-211002-12-100000000000000444-21-4-4-214-21-2-211002-12-100000000000000444-21-4-4-214-21-2-211002-12-100000000000000
χ294-404400-4-400000004i−4i0000000000000000004-404400-4-400000004i−4i0000000000000000004-404400-4-400000004i−4i000000000000000000
χ304-404400-4-40000000−4i4i0000000000000000004-404400-4-40000000−4i4i0000000000000000004-404400-4-40000000−4i4i000000000000000000
χ3188-82-4002-40-2400000000000000000000000088-82-4002-40-2400000000000000000000000088-82-4002-40-24000000000000000000000000
χ3288-8-4200-4204-200000000000000000000000088-8-4200-4204-200000000000000000000000088-8-4200-4204-2000000000000000000000000
χ338-802-400-2400032−3200000000000000000000008-802-400-2400032−3200000000000000000000008-802-400-2400032−320000000000000000000000
χ348-802-400-24000−323200000000000000000000008-802-400-24000−323200000000000000000000008-802-400-24000−32320000000000000000000000
χ358-80-42004-20000032−32000000000000000000008-80-42004-20000032−32000000000000000000008-80-42004-20000032−3200000000000000000000
χ368-80-42004-200000−3232000000000000000000008-80-42004-200000−3232000000000000000000008-80-42004-200000−323200000000000000000000
χ37111111111111111111111111111111111111−1+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+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−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−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
χ3811111111111111111111111-1-1-1-111-1-11-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ391111111111111111-1-11111-1ii−i−i-1-1i−i-1ii−i−i−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ141−i321−i32ζ14−ζ141−i32ζ14ζ14−ζ14−ζ14−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ221+i321+i32ζ22−ζ221+i32ζ22ζ22−ζ22−ζ22
χ401111111111111111-1-11111-1−i−iii-1-1−ii-1−i−iii−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−ζ14ζ141−i32−ζ14−ζ14ζ14ζ14−1−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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−ζ22ζ221+i32−ζ22−ζ22ζ22ζ22
χ41111111-111-111-1-1-1-11111-1-1111111-1-1-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32
χ42111111-111-111-1-1-1-11111-1-11-1-1-1-11-111-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ43111111-111-111-1-1-1-1-1-111-1-1-1ii−i−i-11−ii1i−i−ii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14ζ14−1+i32ζ14−ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22ζ22−1−i32ζ22−ζ22−ζ22ζ22
χ44111111-111-111-1-1-1-1-1-111-1-1-1−i−iii-11i−i1−iii−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14−ζ14−1+i32−ζ14ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22−ζ22−1−i32−ζ22ζ22ζ22−ζ22
χ4511111-1111-111-1-1-1-111-1-11111111-11-1-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32
χ4611111-1111-111-1-1-1-111-1-1111-1-1-1-1-1111-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ4711111-1111-111-1-1-1-1-1-1-1-111-1ii−i−i1-1−ii1−iii−i−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ14ζ14−1+i32−ζ14ζ14ζ14−ζ14−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ22ζ22−1−i32−ζ22ζ22ζ22−ζ22
χ4811111-1111-111-1-1-1-1-1-1-1-111-1−i−iii1-1i−i1i−i−ii−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32ζ14−ζ14−1+i32ζ14−ζ14−ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32ζ22−ζ22−1−i32ζ22−ζ22−ζ22ζ22
χ4911111-1-111111111111-1-1-1-111111-1-1111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ5011111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-111111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ5111111-1-1111111111-1-1-1-1-1-1-1ii−i−i11i−i-1−i−iii−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i32ζ14−ζ141−i32−ζ14−ζ14ζ14ζ14−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i32ζ22−ζ221+i32−ζ22−ζ22ζ22ζ22
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χ8311111-1111-111-1-1-1-1-1-1-1-111-1ii−i−i1-1−ii1−iii−i−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ22ζ22−1−i32−ζ22ζ22ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ14ζ14−1+i32−ζ14ζ14ζ14−ζ14
χ8411111-1111-111-1-1-1-1-1-1-1-111-1−i−iii1-1i−i1i−i−ii−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32ζ22−ζ22−1−i32ζ22−ζ22−ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32ζ14−ζ14−1+i32ζ14−ζ14−ζ14ζ14
χ8511111-1-111111111111-1-1-1-111111-1-1111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ8611111-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-111111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ8711111-1-1111111111-1-1-1-1-1-1-1ii−i−i11i−i-1−i−iii−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i32ζ22−ζ221+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i32ζ14−ζ141−i32−ζ14−ζ14ζ14ζ14
χ8811111-1-1111111111-1-1-1-1-1-1-1−i−iii11−ii-1ii−i−i−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i32−ζ22ζ221+i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i32−ζ14ζ141−i32ζ14ζ14−ζ14−ζ14
χ8922-22200220-2-20000220000-22-22-2000000000−1−i3−1−i31+i3−1−i3−1−i300−1−i3−1−i301+i31+i30000−1−i3−1−i300001+i3−1−i31+i3−1−i31+i3000000000−1+i3−1+i31−i3−1+i3−1+i300−1+i3−1+i301−i31−i30000−1+i3−1+i300001−i3−1+i31−i3−1+i31−i3000000000
χ9022-22200220-2-20000220000-2-22-22000000000−1−i3−1−i31+i3−1−i3−1−i300−1−i3−1−i301+i31+i30000−1−i3−1−i300001+i31+i3−1−i31+i3−1−i3000000000−1+i3−1+i31−i3−1+i3−1+i300−1+i3−1+i301−i31−i30000−1+i3−1+i300001−i31−i3−1+i31−i3−1+i3000000000
χ9122-22200220-2-20000-2-2000022i−2i−2i2i000000000−1−i3−1−i31+i3−1−i3−1−i300−1−i3−1−i301+i31+i300001+i31+i30000−1−i32ζ22−2ζ22−2ζ222ζ22000000000−1+i3−1+i31−i3−1+i3−1+i300−1+i3−1+i301−i31−i300001−i31−i30000−1+i32ζ14−2ζ14−2ζ142ζ14000000000
χ9222-22200220-2-20000-2-200002−2i2i2i−2i000000000−1−i3−1−i31+i3−1−i3−1−i300−1−i3−1−i301+i31+i300001+i31+i30000−1−i3−2ζ222ζ222ζ22−2ζ22000000000−1+i3−1+i31−i3−1+i3−1+i300−1+i3−1+i301−i31−i300001−i31−i30000−1+i3−2ζ142ζ142ζ14−2ζ14000000000
χ934441-2441-241-211-2-2001-21-200000000000000−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i300−1−i321+i3−1−i321+i300000000000000−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i300−1+i321−i3−1+i321−i300000000000000
χ944441-24-41-2-41-2-1-122001-2-1200000000000000−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i32+2i3−1−i321+i32+2i3−1−i321+i31+i321+i32−1−i3−1−i300−1−i321+i31+i32−1−i300000000000000−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i32−2i3−1+i321−i32−2i3−1+i321−i31−i321−i32−1+i3−1+i300−1+i321−i31−i32−1+i300000000000000
χ954441-2-441-2-41-2-1-12200-121-200000000000000−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−2−2i3−1−i321+i32+2i3−1−i321+i31+i321+i32−1−i3−1−i3001+i32−1−i3−1−i321+i300000000000000−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−2+2i3−1+i321−i32−2i3−1+i321−i31−i321−i32−1+i3−1+i3001−i32−1+i3−1+i321−i300000000000000
χ964441-2-4-41-241-211-2-200-12-1200000000000000−2−2i3−2−2i3−2−2i3−1−i321+i32+2i32+2i3−1−i321+i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i3001+i32−1−i31+i32−1−i300000000000000−2+2i3−2+2i3−2+2i3−1+i321−i32−2i32−2i3−1+i321−i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i3001−i32−1+i31−i32−1+i300000000000000
χ97444-2144-214-21-2-21100-21-2100000000000000−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i31+i3−1−i32−1−i32001+i3−1−i321+i3−1−i3200000000000000−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i31−i3−1+i32−1+i32001−i3−1+i321−i3−1+i3200000000000000
χ98444-214-4-21-4-2122-1-100-212-100000000000000−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i32+2i31+i3−1−i322+2i31+i3−1−i32−1−i3−1−i31+i321+i32001+i3−1−i32−1−i31+i3200000000000000−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i32−2i31−i3−1+i322−2i31−i3−1+i32−1+i3−1+i31−i321−i32001−i3−1+i32−1+i31−i3200000000000000
χ99444-21-44-21-4-2122-1-1002-1-2100000000000000−2−2i3−2−2i3−2−2i31+i3−1−i322+2i3−2−2i31+i3−1−i322+2i31+i3−1−i32−1−i3−1−i31+i321+i3200−1−i31+i321+i3−1−i3200000000000000−2+2i3−2+2i3−2+2i31−i3−1+i322−2i3−2+2i31−i3−1+i322−2i31−i3−1+i32−1+i3−1+i31−i321−i3200−1+i31−i321−i3−1+i3200000000000000
χ100444-21-4-4-214-21-2-211002-12-100000000000000−2−2i3−2−2i3−2−2i31+i3−1−i322+2i32+2i31+i3−1−i32−2−2i31+i3−1−i321+i31+i3−1−i32−1−i3200−1−i31+i32−1−i31+i3200000000000000−2+2i3−2+2i3−2+2i31−i3−1+i322−2i32−2i31−i3−1+i32−2+2i31−i3−1+i321−i31−i3−1+i32−1+i3200−1+i31−i32−1+i31−i3200000000000000
χ1014-404400-4-400000004i−4i000000000000000000−2−2i32+2i30−2−2i3−2−2i3002+2i32+2i300000004ζ22−4ζ22000000000000000000−2+2i32−2i30−2+2i3−2+2i3002−2i32−2i300000004ζ14−4ζ14000000000000000000
χ1024-404400-4-40000000−4i4i000000000000000000−2−2i32+2i30−2−2i3−2−2i3002+2i32+2i30000000−4ζ224ζ22000000000000000000−2+2i32−2i30−2+2i3−2+2i3002−2i32−2i30000000−4ζ144ζ14000000000000000000
χ10388-82-4002-40-24000000000000000000000000−4−4i3−4−4i34+4i3−1−i32+2i300−1−i32+2i301+i3−2−2i3000000000000000000000000−4+4i3−4+4i34−4i3−1+i32−2i300−1+i32−2i301−i3−2+2i3000000000000000000000000
χ10488-8-4200-4204-2000000000000000000000000−4−4i3−4−4i34+4i32+2i3−1−i3002+2i3−1−i30−2−2i31+i3000000000000000000000000−4+4i3−4+4i34−4i32−2i3−1+i3002−2i3−1+i30−2+2i31−i3000000000000000000000000
χ1058-802-400-2400032−320000000000000000000000−4−4i34+4i30−1−i32+2i3001+i3−2−2i3000−3ζ7+3ζ133ζ7−3ζ130000000000000000000000−4+4i34−4i30−1+i32−2i3001−i3−2+2i30003ζ5−3ζ23−3ζ5+3ζ230000000000000000000000
χ1068-802-400-24000−32320000000000000000000000−4−4i34+4i30−1−i32+2i3001+i3−2−2i30003ζ7−3ζ13−3ζ7+3ζ130000000000000000000000−4+4i34−4i30−1+i32−2i3001−i3−2+2i3000−3ζ5+3ζ233ζ5−3ζ230000000000000000000000
χ1078-80-42004-20000032−3200000000000000000000−4−4i34+4i302+2i3−1−i300−2−2i31+i300000−3ζ7+3ζ133ζ7−3ζ1300000000000000000000−4+4i34−4i302−2i3−1+i300−2+2i31−i3000003ζ5−3ζ23−3ζ5+3ζ2300000000000000000000
χ1088-80-42004-200000−323200000000000000000000−4−4i34+4i302+2i3−1−i300−2−2i31+i3000003ζ7−3ζ13−3ζ7+3ζ1300000000000000000000−4+4i34−4i302−2i3−1+i300−2+2i31−i300000−3ζ5+3ζ233ζ5−3ζ2300000000000000000000

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