Finite Group Databasebeta

← Group #13173249

Character table — Group #13173249

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112444444488888899161616161818181818363636363636363636112444444488888899161616161818181818363636363636363636112444444488888899161616161818181818363636363636363636
order1242233668121224242424226666444442244448883612663366241212242424246666661212121212661212121224242436126633662412122424242466666612121212126612121212242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-1111-1-1-1-11-1-11111111111111111111111-1-1-1-1111-1-1-1-11-1-11111111111111111111111-1-1-1-1111-1-1-1-11-1-1
χ31111111111111111-1-11111ii−i−i-1-1-1ii−i−i-1i−i1111111111111111-1-11111ii−i−i-1-1-1ii−i−i-1i−i1111111111111111-1-11111ii−i−i-1-1-1ii−i−i-1i−i
χ41111111111111111-1-11111−i−iii-1-1-1−i−iii-1−ii1111111111111111-1-11111−i−iii-1-1-1−i−iii-1−ii1111111111111111-1-11111−i−iii-1-1-1−i−iii-1−ii
χ51111-11111-111-1-1-1-11111-1-1111111-11-11-1-1-1-11111-11111-111-1-1-1-11111-1-1111111-11-11-1-1-1-11111-11111-111-1-1-1-11111-1-1111111-11-11-1-1-1-1
χ61111-11111-111-1-1-1-11111-1-1-1-1-1-111-1-11-11-1111111-11111-111-1-1-1-11111-1-1-1-1-1-111-1-11-11-1111111-11111-111-1-1-1-11111-1-1-1-1-1-111-1-11-11-111
χ71111-11111-111-1-1-1-1-1-111-1-1ii−i−i-1-11i−i−ii1−ii1111-11111-111-1-1-1-1-1-111-1-1ii−i−i-1-11i−i−ii1−ii1111-11111-111-1-1-1-1-1-111-1-1ii−i−i-1-11i−i−ii1−ii
χ81111-11111-111-1-1-1-1-1-111-1-1−i−iii-1-11−iii−i1i−i1111-11111-111-1-1-1-1-1-111-1-1−i−iii-1-11−iii−i1i−i1111-11111-111-1-1-1-1-1-111-1-1−i−iii-1-11−iii−i1i−i
χ9111-111111-111-1-1-1-111-1-11111111-11-11-11-1-1-1111-111111-111-1-1-1-111-1-11111111-11-11-11-1-1-1111-111111-111-1-1-1-111-1-11111111-11-11-11-1-1-1
χ10111-111111-111-1-1-1-111-1-111-1-1-1-11-111-11-1-111111-111111-111-1-1-1-111-1-111-1-1-1-11-111-11-1-111111-111111-111-1-1-1-111-1-111-1-1-1-11-111-11-1-111
χ11111-111111-111-1-1-1-1-1-1-1-111ii−i−i-11-1−iii−i1−ii111-111111-111-1-1-1-1-1-1-1-111ii−i−i-11-1−iii−i1−ii111-111111-111-1-1-1-1-1-1-1-111ii−i−i-11-1−iii−i1−ii
χ12111-111111-111-1-1-1-1-1-1-1-111−i−iii-11-1i−i−ii1i−i111-111111-111-1-1-1-1-1-1-1-111−i−iii-11-1i−i−ii1i−i111-111111-111-1-1-1-1-1-1-1-111−i−iii-11-1i−i−ii1i−i
χ13111-1-11111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-11111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-11111111111111-1-1-1-111111-1-1-1-1-1-1111
χ14111-1-11111111111111-1-1-1-1-1-1-1-11-1-111111-1-1111-1-11111111111111-1-1-1-1-1-1-1-11-1-111111-1-1111-1-11111111111111-1-1-1-1-1-1-1-11-1-111111-1-1
χ15111-1-111111111111-1-1-1-1-1-1ii−i−i-111−i−iii-1i−i111-1-111111111111-1-1-1-1-1-1ii−i−i-111−i−iii-1i−i111-1-111111111111-1-1-1-1-1-1ii−i−i-111−i−iii-1i−i
χ16111-1-111111111111-1-1-1-1-1-1−i−iii-111ii−i−i-1−ii111-1-111111111111-1-1-1-1-1-1−i−iii-111ii−i−i-1−ii111-1-111111111111-1-1-1-1-1-1−i−iii-111ii−i−i-1−ii
χ1722-20022220-2-200002200002-22-2-200000000022-20022220-2-200002200002-22-2-200000000022-20022220-2-200002200002-22-2-2000000000
χ1822-20022220-2-20000220000-22-22-200000000022-20022220-2-20000220000-22-22-200000000022-20022220-2-20000220000-22-22-2000000000
χ1922-20022220-2-20000-2-200002i−2i−2i2i200000000022-20022220-2-20000-2-200002i−2i−2i2i200000000022-20022220-2-20000-2-200002i−2i−2i2i2000000000
χ2022-20022220-2-20000-2-20000−2i2i2i−2i200000000022-20022220-2-20000-2-20000−2i2i2i−2i200000000022-20022220-2-20000-2-20000−2i2i2i−2i2000000000
χ21444441-21-241-211-2-2001-21-200000000000000444441-21-241-211-2-2001-21-200000000000000444441-21-241-211-2-2001-21-200000000000000
χ2244444-21-214-21-2-21100-21-210000000000000044444-21-214-21-2-21100-21-210000000000000044444-21-214-21-2-21100-21-2100000000000000
χ234444-41-21-2-41-2-1-122001-2-12000000000000004444-41-21-2-41-2-1-122001-2-12000000000000004444-41-21-2-41-2-1-122001-2-1200000000000000
χ244444-4-21-21-4-2122-1-100-212-1000000000000004444-4-21-21-4-2122-1-100-212-1000000000000004444-4-21-21-4-2122-1-100-212-100000000000000
χ25444-441-21-2-41-2-1-12200-121-200000000000000444-441-21-2-41-2-1-12200-121-200000000000000444-441-21-2-41-2-1-12200-121-200000000000000
χ26444-44-21-21-4-2122-1-1002-1-2100000000000000444-44-21-21-4-2122-1-1002-1-2100000000000000444-44-21-21-4-2122-1-1002-1-2100000000000000
χ27444-4-41-21-241-211-2-200-12-1200000000000000444-4-41-21-241-211-2-200-12-1200000000000000444-4-41-21-241-211-2-200-12-1200000000000000
χ28444-4-4-21-214-21-2-211002-12-100000000000000444-4-4-21-214-21-2-211002-12-100000000000000444-4-4-21-214-21-2-211002-12-100000000000000
χ294-400044-4-400000004-40000000000000000004-400044-4-400000004-40000000000000000004-400044-4-400000004-4000000000000000000
χ304-400044-4-40000000-440000000000000000004-400044-4-40000000-440000000000000000004-400044-4-40000000-44000000000000000000
χ3188-8002-42-40-2400000000000000000000000088-8002-42-40-2400000000000000000000000088-8002-42-40-24000000000000000000000000
χ3288-800-42-4204-200000000000000000000000088-800-42-4204-200000000000000000000000088-800-42-4204-2000000000000000000000000
χ338-80002-4-2400032−3200000000000000000000008-80002-4-2400032−3200000000000000000000008-80002-4-2400032−320000000000000000000000
χ348-80002-4-24000−323200000000000000000000008-80002-4-24000−323200000000000000000000008-80002-4-24000−32320000000000000000000000
χ358-8000-424-20000032−32000000000000000000008-8000-424-20000032−32000000000000000000008-8000-424-20000032−3200000000000000000000
χ368-8000-424-200000−3232000000000000000000008-8000-424-200000−3232000000000000000000008-8000-424-200000−323200000000000000000000
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
χ381111111111111111111111-1-1-1-1111-1-1-1-11-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−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−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−i321+i321+i321+i321+i32−1−i321+i321+i32
χ391111111111111111-1-11111ii−i−i-1-1-1ii−i−i-1i−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+i32ζ14ζ14−ζ14−ζ141−i321−i321−i32ζ14ζ14−ζ14−ζ141−i32ζ14−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−i32ζ22ζ22−ζ22−ζ221+i321+i321+i32ζ22ζ22−ζ22−ζ221+i32ζ22−ζ22
χ401111111111111111-1-11111−i−iii-1-1-1−i−iii-1−ii−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+i32−ζ14−ζ14ζ14ζ141−i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−ζ14ζ14−1−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−i32−ζ22−ζ22ζ22ζ221+i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−ζ22ζ22
χ411111-11111-111-1-1-1-11111-1-1111111-11-11-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−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+i32−1−i321+i32−1−i321+i321+i321+i321+i32
χ421111-11111-111-1-1-1-11111-1-1-1-1-1-111-1-11-11-111−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32
χ431111-11111-111-1-1-1-1-1-111-1-1ii−i−i-1-11i−i−ii1−ii−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32ζ14−ζ14−ζ14ζ14−1+i32−ζ14ζ14−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32ζ22−ζ22−ζ22ζ22−1−i32−ζ22ζ22
χ441111-11111-111-1-1-1-1-1-111-1-1−i−iii-1-11−iii−i1i−i−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−ζ14ζ14ζ14−ζ14−1+i32ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−ζ22ζ22ζ22−ζ22−1−i32ζ22−ζ22
χ45111-111111-111-1-1-1-111-1-11111111-11-11-11-1-1-1−1+i32−1+i32−1+i321−i32−1+i32−1+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−i32−1+i321−i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i321+i32−1−i32−1−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+i32−1−i321+i32−1−i321+i321+i321+i32
χ46111-111111-111-1-1-1-111-1-111-1-1-1-11-111-11-1-111−1+i32−1+i32−1+i321−i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32
χ47111-111111-111-1-1-1-1-1-1-1-111ii−i−i-11-1−iii−i1−ii−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i32−1+i321−i32−ζ14ζ14ζ14−ζ14−1+i32−ζ14ζ14−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i32−1−i321+i32−ζ22ζ22ζ22−ζ22−1−i32−ζ22ζ22
χ48111-111111-111-1-1-1-1-1-1-1-111−i−iii-11-1i−i−ii1i−i−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i32−1+i321−i32ζ14−ζ14−ζ14ζ14−1+i32ζ14−ζ14−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i32−1−i321+i32ζ22−ζ22−ζ22ζ22−1−i32ζ22−ζ22
χ49111-1-11111111111111-1-1-1-111111-1-1-1-1-1-1111−1+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ50111-1-11111111111111-1-1-1-1-1-1-1-11-1-111111-1-1−1+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ51111-1-111111111111-1-1-1-1-1-1ii−i−i-111−i−iii-1i−i−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−i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i32ζ14−ζ14−1−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+i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i32ζ22−ζ22
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χ84111-111111-111-1-1-1-1-1-1-1-111−i−iii-11-1i−i−ii1i−i−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i32−1−i321+i32ζ22−ζ22−ζ22ζ22−1−i32ζ22−ζ22−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i32−1+i321−i32ζ14−ζ14−ζ14ζ14−1+i32ζ14−ζ14
χ85111-1-11111111111111-1-1-1-111111-1-1-1-1-1-1111−1−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ86111-1-11111111111111-1-1-1-1-1-1-1-11-1-111111-1-1−1−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ87111-1-111111111111-1-1-1-1-1-1ii−i−i-111−i−iii-1i−i−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+i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ221+i32ζ22−ζ22−1+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−i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ141−i32ζ14−ζ14
χ88111-1-111111111111-1-1-1-1-1-1−i−iii-111ii−i−i-1−ii−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+i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ221+i32−ζ22ζ22−1+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−i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ141−i32−ζ14ζ14
χ8922-20022220-2-200002200002-22-2-2000000000−1−i3−1−i31+i300−1−i3−1−i3−1−i3−1−i301+i31+i30000−1−i3−1−i30000−1−i31+i3−1−i31+i31+i3000000000−1+i3−1+i31−i300−1+i3−1+i3−1+i3−1+i301−i31−i30000−1+i3−1+i30000−1+i31−i3−1+i31−i31−i3000000000
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χ9122-20022220-2-20000-2-200002i−2i−2i2i2000000000−1−i3−1−i31+i300−1−i3−1−i3−1−i3−1−i301+i31+i300001+i31+i300002ζ22−2ζ22−2ζ222ζ22−1−i3000000000−1+i3−1+i31−i300−1+i3−1+i3−1+i3−1+i301−i31−i300001−i31−i300002ζ14−2ζ14−2ζ142ζ14−1+i3000000000
χ9222-20022220-2-20000-2-20000−2i2i2i−2i2000000000−1−i3−1−i31+i300−1−i3−1−i3−1−i3−1−i301+i31+i300001+i31+i30000−2ζ222ζ222ζ22−2ζ22−1−i3000000000−1+i3−1+i31−i300−1+i3−1+i3−1+i3−1+i301−i31−i300001−i31−i30000−2ζ142ζ142ζ14−2ζ14−1+i3000000000
χ93444441-21-241-211-2-2001-21-200000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i300−1−i321+i3−1−i321+i300000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i300−1+i321−i3−1+i321−i300000000000000
χ9444444-21-214-21-2-21100-21-2100000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+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+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−2+2i31−i3−1+i321−i31−i3−1+i32−1+i32001−i3−1+i321−i3−1+i3200000000000000
χ954444-41-21-2-41-2-1-122001-2-1200000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i32+2i3−1−i321+i31+i321+i32−1−i3−1−i300−1−i321+i31+i32−1−i300000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i32−2i3−1+i321−i31−i321−i32−1+i3−1+i300−1+i321−i31−i32−1+i300000000000000
χ964444-4-21-21-4-2122-1-100-212-100000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i322+2i31+i3−1−i32−1−i3−1−i31+i321+i32001+i3−1−i32−1−i31+i3200000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i322−2i31−i3−1+i32−1+i3−1+i31−i321−i32001−i3−1+i32−1+i31−i3200000000000000
χ97444-441-21-2-41-2-1-12200-121-200000000000000−2−2i3−2−2i3−2−2i32+2i3−2−2i3−1−i321+i3−1−i321+i32+2i3−1−i321+i31+i321+i32−1−i3−1−i3001+i32−1−i3−1−i321+i300000000000000−2+2i3−2+2i3−2+2i32−2i3−2+2i3−1+i321−i3−1+i321−i32−2i3−1+i321−i31−i321−i32−1+i3−1+i3001−i32−1+i3−1+i321−i300000000000000
χ98444-44-21-21-4-2122-1-1002-1-2100000000000000−2−2i3−2−2i3−2−2i32+2i3−2−2i31+i3−1−i321+i3−1−i322+2i31+i3−1−i32−1−i3−1−i31+i321+i3200−1−i31+i321+i3−1−i3200000000000000−2+2i3−2+2i3−2+2i32−2i3−2+2i31−i3−1+i321−i3−1+i322−2i31−i3−1+i32−1+i3−1+i31−i321−i3200−1+i31−i321−i3−1+i3200000000000000
χ99444-4-41-21-241-211-2-200-12-1200000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−2−2i3−1−i321+i3−1−i32−1−i321+i31+i3001+i32−1−i31+i32−1−i300000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−2+2i3−1+i321−i3−1+i32−1+i321−i31−i3001−i32−1+i31−i32−1+i300000000000000
χ100444-4-4-21-214-21-2-211002-12-100000000000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+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+2i32−2i32−2i31−i3−1+i321−i3−1+i32−2+2i31−i3−1+i321−i31−i3−1+i32−1+i3200−1+i31−i32−1+i31−i3200000000000000
χ1014-400044-4-400000004-4000000000000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i30000000−2−2i32+2i3000000000000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i30000000−2+2i32−2i3000000000000000000
χ1024-400044-4-40000000-44000000000000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i300000002+2i3−2−2i3000000000000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i300000002−2i3−2+2i3000000000000000000
χ10388-8002-42-40-24000000000000000000000000−4−4i3−4−4i34+4i300−1−i32+2i3−1−i32+2i301+i3−2−2i3000000000000000000000000−4+4i3−4+4i34−4i300−1+i32−2i3−1+i32−2i301−i3−2+2i3000000000000000000000000
χ10488-800-42-4204-2000000000000000000000000−4−4i3−4−4i34+4i3002+2i3−1−i32+2i3−1−i30−2−2i31+i3000000000000000000000000−4+4i3−4+4i34−4i3002−2i3−1+i32−2i3−1+i30−2+2i31−i3000000000000000000000000
χ1058-80002-4-2400032−320000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i3000−3ζ7+3ζ133ζ7−3ζ130000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i30003ζ5−3ζ23−3ζ5+3ζ230000000000000000000000
χ1068-80002-4-24000−32320000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i30003ζ7−3ζ13−3ζ7+3ζ130000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i3000−3ζ5+3ζ233ζ5−3ζ230000000000000000000000
χ1078-8000-424-20000032−3200000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i300000−3ζ7+3ζ133ζ7−3ζ1300000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i3000003ζ5−3ζ23−3ζ5+3ζ2300000000000000000000
χ1088-8000-424-200000−323200000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i3000003ζ7−3ζ13−3ζ7+3ζ1300000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i300000−3ζ5+3ζ233ζ5−3ζ2300000000000000000000

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