Finite Group Databasebeta

← Group #13166797

Character table — Group #13166797

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122444444448888999912121212121212121818181818181818181824242424242424241111224444444488889999121212121212121218181818181818181818242424242424242411112244444444888899991212121212121212181818181818181818182424242424242424
order12224433666666121212124444224444444488888888661212121212123666121233666666121212121212121266121212121212121224242424242424246612121212121236661212336666661212121212121212661212121212121212242424242424242466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ51111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ61111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ71111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111
χ81111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ91-11-1i−i11-11-11-1-1i−ii−iii−i−i1-1i−ii−i1-11-1ii−i−i11-1-11-1i−i1-1i−i1-11-1i−i11-11-11-1-1i−ii−iii−i−i1-1i−ii−i1-11-1ii−i−i11-1-11-1i−i1-1i−i1-11-1i−i11-11-11-1-1i−ii−iii−i−i1-1i−ii−i1-11-1ii−i−i11-1-11-1i−i1-1i−i
χ101-11-1i−i11-11-11-1-1i−ii−iii−i−i1-1−iii−i-111-1−i−iii-1-1111-1i−i-11−ii1-11-1i−i11-11-11-1-1i−ii−iii−i−i1-1−iii−i-111-1−i−iii-1-1111-1i−i-11−ii1-11-1i−i11-11-11-1-1i−ii−iii−i−i1-1−iii−i-111-1−i−iii-1-1111-1i−i-11−ii
χ111-11-1i−i11-11-11-1-1i−ii−iii−i−i-11i−i−ii1-11-1−i−iii-1-111-11−ii1-1i−i1-11-1i−i11-11-11-1-1i−ii−iii−i−i-11i−i−ii1-11-1−i−iii-1-111-11−ii1-1i−i1-11-1i−i11-11-11-1-1i−ii−iii−i−i-11i−i−ii1-11-1−i−iii-1-111-11−ii1-1i−i
χ121-11-1i−i11-11-11-1-1i−ii−iii−i−i-11−ii−ii-111-1ii−i−i11-1-1-11−ii-11−ii1-11-1i−i11-11-11-1-1i−ii−iii−i−i-11−ii−ii-111-1ii−i−i11-1-1-11−ii-11−ii1-11-1i−i11-11-11-1-1i−ii−iii−i−i-11−ii−ii-111-1ii−i−i11-1-1-11−ii-11−ii
χ131-11-1−ii11-11-11-1-1−ii−ii−i−iii1-1i−i−ii-111-1ii−i−i-1-1111-1−ii-11i−i1-11-1−ii11-11-11-1-1−ii−ii−i−iii1-1i−i−ii-111-1ii−i−i-1-1111-1−ii-11i−i1-11-1−ii11-11-11-1-1−ii−ii−i−iii1-1i−i−ii-111-1ii−i−i-1-1111-1−ii-11i−i
χ141-11-1−ii11-11-11-1-1−ii−ii−i−iii1-1−ii−ii1-11-1−i−iii11-1-11-1−ii1-1−ii1-11-1−ii11-11-11-1-1−ii−ii−i−iii1-1−ii−ii1-11-1−i−iii11-1-11-1−ii1-1−ii1-11-1−ii11-11-11-1-1−ii−ii−i−iii1-1−ii−ii1-11-1−i−iii11-1-11-1−ii1-1−ii
χ151-11-1−ii11-11-11-1-1−ii−ii−i−iii-11i−ii−i-111-1−i−iii11-1-1-11i−i-11i−i1-11-1−ii11-11-11-1-1−ii−ii−i−iii-11i−ii−i-111-1−i−iii11-1-1-11i−i-11i−i1-11-1−ii11-11-11-1-1−ii−ii−i−iii-11i−ii−i-111-1−i−iii11-1-1-11i−i-11i−i
χ161-11-1−ii11-11-11-1-1−ii−ii−i−iii-11−iii−i1-11-1ii−i−i-1-111-11i−i1-1−ii1-11-1−ii11-11-11-1-1−ii−ii−i−iii-11−iii−i1-11-1ii−i−i-1-111-11i−i1-1−ii1-11-1−ii11-11-11-1-1−ii−ii−i−iii-11−iii−i1-11-1ii−i−i-1-111-11i−i1-1−ii
χ17222222222222222222-2-2-2-200000000-2-20000000000000000222222222222222222-2-2-2-200000000-2-20000000000000000222222222222222222-2-2-2-200000000-2-20000000000000000
χ182222-2-222222222-2-2-2-2222200000000-2-200000000000000002222-2-222222222-2-2-2-2222200000000-2-200000000000000002222-2-222222222-2-2-2-2222200000000-2-20000000000000000
χ1922-2-20022-2-22-2-2200002i−2i2i−2i00000000002−22−2i2−i2i2−i20000000022-2-20022-2-22-2-2200002i−2i2i−2i00000000002−22−2i2−i2i2−i20000000022-2-20022-2-22-2-2200002i−2i2i−2i00000000002−22−2i2−i2i2−i200000000
χ2022-2-20022-2-22-2-2200002i−2i2i−2i0000000000−22−22−i2i2−i2i20000000022-2-20022-2-22-2-2200002i−2i2i−2i0000000000−22−22−i2i2−i2i20000000022-2-20022-2-22-2-2200002i−2i2i−2i0000000000−22−22−i2i2−i2i200000000
χ2122-2-20022-2-22-2-220000−2i2i−2i2i00000000002−22−2−i2i2−i2i20000000022-2-20022-2-22-2-220000−2i2i−2i2i00000000002−22−2−i2i2−i2i20000000022-2-20022-2-22-2-220000−2i2i−2i2i00000000002−22−2−i2i2−i2i200000000
χ2222-2-20022-2-22-2-220000−2i2i−2i2i0000000000−22−22i2−i2i2−i20000000022-2-20022-2-22-2-220000−2i2i−2i2i0000000000−22−22i2−i2i2−i20000000022-2-20022-2-22-2-220000−2i2i−2i2i0000000000−22−22i2−i2i2−i200000000
χ232-22-22i−2i22-22-22-2-22i−2i2i−2i−2i−2i2i2i00000000-2200000000000000002-22-22i−2i22-22-22-2-22i−2i2i−2i−2i−2i2i2i00000000-2200000000000000002-22-22i−2i22-22-22-2-22i−2i2i−2i−2i−2i2i2i00000000-220000000000000000
χ242-22-2−2i2i22-22-22-2-2−2i2i−2i2i2i2i−2i−2i00000000-2200000000000000002-22-2−2i2i22-22-22-2-2−2i2i−2i2i2i2i−2i−2i00000000-2200000000000000002-22-2−2i2i22-22-22-2-2−2i2i−2i2i2i2i−2i−2i00000000-220000000000000000
χ252-2-2200222-2-2-22-200002-2-220000000000i2−i2−i2i2−i2i2i2−i2000000002-2-2200222-2-2-22-200002-2-220000000000i2−i2−i2i2−i2i2i2−i2000000002-2-2200222-2-2-22-200002-2-220000000000i2−i2−i2i2−i2i2i2−i200000000
χ262-2-2200222-2-2-22-200002-2-220000000000−i2i2i2−i2i2−i2−i2i2000000002-2-2200222-2-2-22-200002-2-220000000000−i2i2i2−i2i2−i2−i2i2000000002-2-2200222-2-2-22-200002-2-220000000000−i2i2i2−i2i2−i2−i2i200000000
χ272-2-2200222-2-2-22-20000-222-20000000000i2−i2−i2i2i2−i2−i2i2000000002-2-2200222-2-2-22-20000-222-20000000000i2−i2−i2i2i2−i2−i2i2000000002-2-2200222-2-2-22-20000-222-20000000000i2−i2−i2i2i2−i2−i2i200000000
χ282-2-2200222-2-2-22-20000-222-20000000000−i2i2i2−i2−i2i2i2−i2000000002-2-2200222-2-2-22-20000-222-20000000000−i2i2i2−i2−i2i2i2−i2000000002-2-2200222-2-2-22-20000-222-20000000000−i2i2i2−i2−i2i2i2−i200000000
χ294444441-21-2-21-21-2-21100000022002200000000000000-1-1-1-14444441-21-2-21-21-2-21100000022002200000000000000-1-1-1-14444441-21-2-21-21-2-21100000022002200000000000000-1-1-1-1
χ304444441-21-2-21-21-2-211000000-2-200-2-20000000000000011114444441-21-2-21-21-2-211000000-2-200-2-20000000000000011114444441-21-2-21-21-2-211000000-2-200-2-2000000000000001111
χ31444444-21-211-21-211-2-20000220022000000000000-1-1-1-10000444444-21-211-21-211-2-20000220022000000000000-1-1-1-10000444444-21-211-21-211-2-20000220022000000000000-1-1-1-10000
χ32444444-21-211-21-211-2-20000-2-200-2-200000000000011110000444444-21-211-21-211-2-20000-2-200-2-200000000000011110000444444-21-211-21-211-2-20000-2-200-2-200000000000011110000
χ334444-4-41-21-2-21-2122-1-10000002200-2-20000000000000011-1-14444-4-41-21-2-21-2122-1-10000002200-2-20000000000000011-1-14444-4-41-21-2-21-2122-1-10000002200-2-20000000000000011-1-1
χ344444-4-41-21-2-21-2122-1-1000000-2-2002200000000000000-1-1114444-4-41-21-2-21-2122-1-1000000-2-2002200000000000000-1-1114444-4-41-21-2-21-2122-1-1000000-2-2002200000000000000-1-111
χ354444-4-4-21-211-21-2-1-12200002200-2-2000000000000-1-11100004444-4-4-21-211-21-2-1-12200002200-2-2000000000000-1-11100004444-4-4-21-211-21-2-1-12200002200-2-2000000000000-1-1110000
χ364444-4-4-21-211-21-2-1-1220000-2-2002200000000000011-1-100004444-4-4-21-211-21-2-1-1220000-2-2002200000000000011-1-100004444-4-4-21-211-21-2-1-1220000-2-2002200000000000011-1-10000
χ374-44-44i−4i1-2-1-2212-1−2i2ii−i0000002i−2i002-200000000000000-11−ii4-44-44i−4i1-2-1-2212-1−2i2ii−i0000002i−2i002-200000000000000-11−ii4-44-44i−4i1-2-1-2212-1−2i2ii−i0000002i−2i002-200000000000000-11−ii
χ384-44-44i−4i1-2-1-2212-1−2i2ii−i000000−2i2i00-22000000000000001-1i−i4-44-44i−4i1-2-1-2212-1−2i2ii−i000000−2i2i00-22000000000000001-1i−i4-44-44i−4i1-2-1-2212-1−2i2ii−i000000−2i2i00-22000000000000001-1i−i
χ394-44-44i−4i-2121-1-2-12i−i−2i2i00002-2002i−2i000000000000-11−ii00004-44-44i−4i-2121-1-2-12i−i−2i2i00002-2002i−2i000000000000-11−ii00004-44-44i−4i-2121-1-2-12i−i−2i2i00002-2002i−2i000000000000-11−ii0000
χ404-44-44i−4i-2121-1-2-12i−i−2i2i0000-2200−2i2i0000000000001-1i−i00004-44-44i−4i-2121-1-2-12i−i−2i2i0000-2200−2i2i0000000000001-1i−i00004-44-44i−4i-2121-1-2-12i−i−2i2i0000-2200−2i2i0000000000001-1i−i0000
χ414-44-4−4i4i1-2-1-2212-12i−2i−ii0000002i−2i00-22000000000000001-1−ii4-44-4−4i4i1-2-1-2212-12i−2i−ii0000002i−2i00-22000000000000001-1−ii4-44-4−4i4i1-2-1-2212-12i−2i−ii0000002i−2i00-22000000000000001-1−ii
χ424-44-4−4i4i1-2-1-2212-12i−2i−ii000000−2i2i002-200000000000000-11i−i4-44-4−4i4i1-2-1-2212-12i−2i−ii000000−2i2i002-200000000000000-11i−i4-44-4−4i4i1-2-1-2212-12i−2i−ii000000−2i2i002-200000000000000-11i−i
χ434-44-4−4i4i-2121-1-2-12−ii2i−2i00002-200−2i2i000000000000-11i−i00004-44-4−4i4i-2121-1-2-12−ii2i−2i00002-200−2i2i000000000000-11i−i00004-44-4−4i4i-2121-1-2-12−ii2i−2i00002-200−2i2i000000000000-11i−i0000
χ444-44-4−4i4i-2121-1-2-12−ii2i−2i0000-22002i−2i0000000000001-1−ii00004-44-4−4i4i-2121-1-2-12−ii2i−2i0000-22002i−2i0000000000001-1−ii00004-44-4−4i4i-2121-1-2-12−ii2i−2i0000-22002i−2i0000000000001-1−ii0000
χ4588-8-8002-4-24-4-242000000000000000000000000000000000088-8-8002-4-24-4-242000000000000000000000000000000000088-8-8002-4-24-4-2420000000000000000000000000000000000
χ4688-8-800-424-224-2-4000000000000000000000000000000000088-8-800-424-224-2-4000000000000000000000000000000000088-8-800-424-224-2-40000000000000000000000000000000000
χ478-8-88002-4244-2-4-200000000000000000000000000000000008-8-88002-4244-2-4-200000000000000000000000000000000008-8-88002-4244-2-4-20000000000000000000000000000000000
χ488-8-8800-42-4-2-242400000000000000000000000000000000008-8-8800-42-4-2-242400000000000000000000000000000000008-8-8800-42-4-2-24240000000000000000000000000000000000
χ49111111111111111111111111111111111111111111111111−1+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−i32−1−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
χ50111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ511111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111−1+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−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−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+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ521111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−1+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+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−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−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−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
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χ1031111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ1041111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−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−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
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χ1202-22-2−2i2i22-22-22-2-2−2i2i−2i2i2i2i−2i−2i00000000-220000000000000000−1−i31+i3−1−i31+i3−2ζ222ζ22−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−2ζ222ζ22−2ζ222ζ222ζ222ζ22−2ζ22−2ζ22000000001+i3−1−i30000000000000000−1+i31−i3−1+i31−i3−2ζ142ζ14−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−2ζ142ζ14−2ζ142ζ142ζ142ζ14−2ζ14−2ζ14000000001−i3−1+i30000000000000000
χ1212-2-2200222-2-2-22-200002-2-220000000000i2−i2−i2i2−i2i2i2−i200000000−1−i31+i31+i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i30000−1−i31+i31+i3−1−i30000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i31−i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i30000−1+i31−i31−i3−1+i30000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
χ1222-2-2200222-2-2-22-200002-2-220000000000−i2i2i2−i2i2−i2−i2i200000000−1−i31+i31+i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i30000−1−i31+i31+i3−1−i30000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i31−i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i30000−1+i31−i31−i3−1+i30000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ1232-2-2200222-2-2-22-20000-222-20000000000i2−i2−i2i2i2−i2−i2i200000000−1−i31+i31+i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i300001+i3−1−i3−1−i31+i30000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i31−i31−i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i300001−i3−1+i3−1+i31−i30000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000
χ1242-2-2200222-2-2-22-20000-222-20000000000−i2i2i2−i2−i2i2i2−i200000000−1−i31+i31+i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i300001+i3−1−i3−1−i31+i30000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i31−i31−i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i300001−i3−1+i3−1+i31−i30000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000
χ1254444441-21-2-21-21-2-21100000022002200000000000000-1-1-1-1−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32000000−1−i3−1−i300−1−i3−1−i3000000000000001+i321+i321+i321+i32−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32000000−1+i3−1+i300−1+i3−1+i3000000000000001−i321−i321−i321−i32
χ1264444441-21-2-21-21-2-211000000-2-200-2-2000000000000001111−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i320000001+i31+i3001+i31+i300000000000000−1−i32−1−i32−1−i32−1−i32−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i320000001−i31−i3001−i31−i300000000000000−1+i32−1+i32−1+i32−1+i32
χ127444444-21-211-21-211-2-20000220022000000000000-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i30000−1−i3−1−i300−1−i3−1−i30000000000001+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i30000−1+i3−1+i300−1+i3−1+i30000000000001−i321−i321−i321−i320000
χ128444444-21-211-21-211-2-20000-2-200-2-200000000000011110000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i300001+i31+i3001+i31+i3000000000000−1−i32−1−i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i300001−i31−i3001−i31−i3000000000000−1+i32−1+i32−1+i32−1+i320000
χ1294444-4-41-21-2-21-2122-1-10000002200-2-20000000000000011-1-1−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i32000000−1−i3−1−i3001+i31+i300000000000000−1−i32−1−i321+i321+i32−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i32000000−1+i3−1+i3001−i31−i300000000000000−1+i32−1+i321−i321−i32
χ1304444-4-41-21-2-21-2122-1-1000000-2-2002200000000000000-1-111−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i320000001+i31+i300−1−i3−1−i3000000000000001+i321+i32−1−i32−1−i32−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i320000001−i31−i300−1+i3−1+i3000000000000001−i321−i32−1+i32−1+i32
χ1314444-4-4-21-211-21-2-1-12200002200-2-2000000000000-1-1110000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i30000−1−i3−1−i3001+i31+i30000000000001+i321+i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i30000−1+i3−1+i3001−i31−i30000000000001−i321−i32−1+i32−1+i320000
χ1324444-4-4-21-211-21-2-1-1220000-2-2002200000000000011-1-10000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i300001+i31+i300−1−i3−1−i3000000000000−1−i32−1−i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i300001−i31−i300−1+i3−1+i3000000000000−1+i32−1+i321−i321−i320000
χ1334-44-44i−4i1-2-1-2212-1−2i2ii−i0000002i−2i002-200000000000000-11−ii−2−2i32+2i3−2−2i32+2i34ζ22−4ζ22−1−i321+i31+i321+i3−1−i3−1−i32−1−i31+i32−2ζ222ζ22ζ22−ζ220000002ζ22−2ζ2200−1−i31+i3000000000000001+i32−1−i32−ζ22ζ22−2+2i32−2i3−2+2i32−2i34ζ14−4ζ14−1+i321−i31−i321−i3−1+i3−1+i32−1+i31−i32−2ζ142ζ14ζ14−ζ140000002ζ14−2ζ1400−1+i31−i3000000000000001−i32−1+i32−ζ14ζ14
χ1344-44-44i−4i1-2-1-2212-1−2i2ii−i000000−2i2i00-22000000000000001-1i−i−2−2i32+2i3−2−2i32+2i34ζ22−4ζ22−1−i321+i31+i321+i3−1−i3−1−i32−1−i31+i32−2ζ222ζ22ζ22−ζ22000000−2ζ222ζ22001+i3−1−i300000000000000−1−i321+i32ζ22−ζ22−2+2i32−2i3−2+2i32−2i34ζ14−4ζ14−1+i321−i31−i321−i3−1+i3−1+i32−1+i31−i32−2ζ142ζ14ζ14−ζ14000000−2ζ142ζ14001−i3−1+i300000000000000−1+i321−i32ζ14−ζ14
χ1354-44-44i−4i-2121-1-2-12i−i−2i2i00002-2002i−2i000000000000-11−ii0000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ221+i3−1−i32−1−i3−1−i321+i321+i31+i32−1−i3ζ22−ζ22−2ζ222ζ220000−1−i31+i3002ζ22−2ζ220000000000001+i32−1−i32−ζ22ζ220000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ141−i3−1+i32−1+i3−1+i321−i321−i31−i32−1+i3ζ14−ζ14−2ζ142ζ140000−1+i31−i3002ζ14−2ζ140000000000001−i32−1+i32−ζ14ζ140000
χ1364-44-44i−4i-2121-1-2-12i−i−2i2i0000-2200−2i2i0000000000001-1i−i0000−2−2i32+2i3−2−2i32+2i34ζ22−4ζ221+i3−1−i32−1−i3−1−i321+i321+i31+i32−1−i3ζ22−ζ22−2ζ222ζ2200001+i3−1−i300−2ζ222ζ22000000000000−1−i321+i32ζ22−ζ220000−2+2i32−2i3−2+2i32−2i34ζ14−4ζ141−i3−1+i32−1+i3−1+i321−i321−i31−i32−1+i3ζ14−ζ14−2ζ142ζ1400001−i3−1+i300−2ζ142ζ14000000000000−1+i321−i32ζ14−ζ140000
χ1374-44-4−4i4i1-2-1-2212-12i−2i−ii0000002i−2i00-22000000000000001-1−ii−2−2i32+2i3−2−2i32+2i3−4ζ224ζ22−1−i321+i31+i321+i3−1−i3−1−i32−1−i31+i322ζ22−2ζ22−ζ22ζ220000002ζ22−2ζ22001+i3−1−i300000000000000−1−i321+i32−ζ22ζ22−2+2i32−2i3−2+2i32−2i3−4ζ144ζ14−1+i321−i31−i321−i3−1+i3−1+i32−1+i31−i322ζ14−2ζ14−ζ14ζ140000002ζ14−2ζ14001−i3−1+i300000000000000−1+i321−i32−ζ14ζ14
χ1384-44-4−4i4i1-2-1-2212-12i−2i−ii000000−2i2i002-200000000000000-11i−i−2−2i32+2i3−2−2i32+2i3−4ζ224ζ22−1−i321+i31+i321+i3−1−i3−1−i32−1−i31+i322ζ22−2ζ22−ζ22ζ22000000−2ζ222ζ2200−1−i31+i3000000000000001+i32−1−i32ζ22−ζ22−2+2i32−2i3−2+2i32−2i3−4ζ144ζ14−1+i321−i31−i321−i3−1+i3−1+i32−1+i31−i322ζ14−2ζ14−ζ14ζ14000000−2ζ142ζ1400−1+i31−i3000000000000001−i32−1+i32ζ14−ζ14
χ1394-44-4−4i4i-2121-1-2-12−ii2i−2i00002-200−2i2i000000000000-11i−i0000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ221+i3−1−i32−1−i3−1−i321+i321+i31+i32−1−i3−ζ22ζ222ζ22−2ζ220000−1−i31+i300−2ζ222ζ220000000000001+i32−1−i32ζ22−ζ220000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ141−i3−1+i32−1+i3−1+i321−i321−i31−i32−1+i3−ζ14ζ142ζ14−2ζ140000−1+i31−i300−2ζ142ζ140000000000001−i32−1+i32ζ14−ζ140000
χ1404-44-4−4i4i-2121-1-2-12−ii2i−2i0000-22002i−2i0000000000001-1−ii0000−2−2i32+2i3−2−2i32+2i3−4ζ224ζ221+i3−1−i32−1−i3−1−i321+i321+i31+i32−1−i3−ζ22ζ222ζ22−2ζ2200001+i3−1−i3002ζ22−2ζ22000000000000−1−i321+i32−ζ22ζ220000−2+2i32−2i3−2+2i32−2i3−4ζ144ζ141−i3−1+i32−1+i3−1+i321−i321−i31−i32−1+i3−ζ14ζ142ζ14−2ζ1400001−i3−1+i3002ζ14−2ζ14000000000000−1+i321−i32−ζ14ζ140000
χ14188-8-8002-4-24-4-2420000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i300−1−i32+2i31+i3−2−2i32+2i31+i3−2−2i3−1−i30000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i300−1+i32−2i31−i3−2+2i32−2i31−i3−2+2i3−1+i30000000000000000000000000000000000
χ14288-8-800-424-224-2-40000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i3−1−i3−2−2i31+i3−1−i3−2−2i31+i32+2i30000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i3−1+i3−2+2i31−i3−1+i3−2+2i31−i32−2i30000000000000000000000000000000000
χ1438-8-88002-4244-2-4-20000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i300−1−i32+2i3−1−i3−2−2i3−2−2i31+i32+2i31+i30000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i300−1+i32−2i3−1+i3−2+2i3−2+2i31−i32−2i31−i30000000000000000000000000000000000
χ1448-8-8800-42-4-2-24240000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i3002+2i3−1−i32+2i31+i31+i3−2−2i3−1−i3−2−2i30000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i3002−2i3−1+i32−2i31−i31−i3−2+2i3−1+i3−2+2i30000000000000000000000000000000000

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