Finite Group Databasebeta

← Group #13166782

Character table — Group #13166782

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122444444448888999912121212121212121818181818181818181824242424242424241111224444444488889999121212121212121218181818181818181818242424242424242411112244444444888899991212121212121212181818181818181818182424242424242424
order1222443366666612121212444422224444448888888866661212121236661212336666661212121212121212666612121212121224242424242424246666121212123666121233666666121212121212121266661212121212122424242424242424666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ31111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
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
χ51111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ61111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ71111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1
χ81111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ91-11-1i−i1111-1-1-1-1ii−i−iii−i−i1-11-1i−ii−i1-111-1-1ii−i−i1-11-1i−ii−i1-11-1i−i1111-1-1-1-1ii−i−iii−i−i1-11-1i−ii−i1-111-1-1ii−i−i1-11-1i−ii−i1-11-1i−i1111-1-1-1-1ii−i−iii−i−i1-11-1i−ii−i1-111-1-1ii−i−i1-11-1i−ii−i
χ101-11-1i−i1111-1-1-1-1ii−i−iii−i−i1-1-11i−i−ii1-1-1-111−i−iii1-1-11i−i−ii1-11-1i−i1111-1-1-1-1ii−i−iii−i−i1-1-11i−i−ii1-1-1-111−i−iii1-1-11i−i−ii1-11-1i−i1111-1-1-1-1ii−i−iii−i−i1-1-11i−i−ii1-1-1-111−i−iii1-1-11i−i−ii
χ111-11-1i−i1111-1-1-1-1ii−i−iii−i−i-111-1−iii−i1-1-1-111−i−iii-111-1−iii−i1-11-1i−i1111-1-1-1-1ii−i−iii−i−i-111-1−iii−i1-1-1-111−i−iii-111-1−iii−i1-11-1i−i1111-1-1-1-1ii−i−iii−i−i-111-1−iii−i1-1-1-111−i−iii-111-1−iii−i
χ121-11-1i−i1111-1-1-1-1ii−i−iii−i−i-11-11−ii−ii1-111-1-1ii−i−i-11-11−ii−ii1-11-1i−i1111-1-1-1-1ii−i−iii−i−i-11-11−ii−ii1-111-1-1ii−i−i-11-11−ii−ii1-11-1i−i1111-1-1-1-1ii−i−iii−i−i-11-11−ii−ii1-111-1-1ii−i−i-11-11−ii−ii
χ131-11-1−ii1111-1-1-1-1−i−iii−i−iii1-11-1−ii−ii1-111-1-1−i−iii1-11-1−ii−ii1-11-1−ii1111-1-1-1-1−i−iii−i−iii1-11-1−ii−ii1-111-1-1−i−iii1-11-1−ii−ii1-11-1−ii1111-1-1-1-1−i−iii−i−iii1-11-1−ii−ii1-111-1-1−i−iii1-11-1−ii−ii
χ141-11-1−ii1111-1-1-1-1−i−iii−i−iii1-1-11−iii−i1-1-1-111ii−i−i1-1-11−iii−i1-11-1−ii1111-1-1-1-1−i−iii−i−iii1-1-11−iii−i1-1-1-111ii−i−i1-1-11−iii−i1-11-1−ii1111-1-1-1-1−i−iii−i−iii1-1-11−iii−i1-1-1-111ii−i−i1-1-11−iii−i
χ151-11-1−ii1111-1-1-1-1−i−iii−i−iii-111-1i−i−ii1-1-1-111ii−i−i-111-1i−i−ii1-11-1−ii1111-1-1-1-1−i−iii−i−iii-111-1i−i−ii1-1-1-111ii−i−i-111-1i−i−ii1-11-1−ii1111-1-1-1-1−i−iii−i−iii-111-1i−i−ii1-1-1-111ii−i−i-111-1i−i−ii
χ161-11-1−ii1111-1-1-1-1−i−iii−i−iii-11-11i−ii−i1-111-1-1−i−iii-11-11i−ii−i1-11-1−ii1111-1-1-1-1−i−iii−i−iii-11-11i−ii−i1-111-1-1−i−iii-11-11i−ii−i1-11-1−ii1111-1-1-1-1−i−iii−i−iii-11-11i−ii−i1-111-1-1−i−iii-11-11i−ii−i
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
χ1922-2-20022-2-222-2-200002i−2i2i−2i00000000002−22−2i2−i2i2−i20000000022-2-20022-2-222-2-200002i−2i2i−2i00000000002−22−2i2−i2i2−i20000000022-2-20022-2-222-2-200002i−2i2i−2i00000000002−22−2i2−i2i2−i200000000
χ2022-2-20022-2-222-2-200002i−2i2i−2i0000000000−22−22−i2i2−i2i20000000022-2-20022-2-222-2-200002i−2i2i−2i0000000000−22−22−i2i2−i2i20000000022-2-20022-2-222-2-200002i−2i2i−2i0000000000−22−22−i2i2−i2i200000000
χ2122-2-20022-2-222-2-20000−2i2i−2i2i00000000002−22−2−i2i2−i2i20000000022-2-20022-2-222-2-20000−2i2i−2i2i00000000002−22−2−i2i2−i2i20000000022-2-20022-2-222-2-20000−2i2i−2i2i00000000002−22−2−i2i2−i2i200000000
χ2222-2-20022-2-222-2-20000−2i2i−2i2i0000000000−22−22i2−i2i2−i20000000022-2-20022-2-222-2-20000−2i2i−2i2i0000000000−22−22i2−i2i2−i20000000022-2-20022-2-222-2-20000−2i2i−2i2i0000000000−22−22i2−i2i2−i200000000
χ232-22-22i−2i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i00000000-2200000000000000002-22-22i−2i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i00000000-2200000000000000002-22-22i−2i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i00000000-220000000000000000
χ242-22-2−2i2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i00000000-2200000000000000002-22-2−2i2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i00000000-2200000000000000002-22-2−2i2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i00000000-220000000000000000
χ252-2-220022-2-2-2-22200002-2-2200000000002−2−222−2−22000000002-2-220022-2-2-2-22200002-2-2200000000002−2−222−2−22000000002-2-220022-2-2-2-22200002-2-2200000000002−2−222−2−2200000000
χ262-2-220022-2-2-2-22200002-2-220000000000−222−2−222−2000000002-2-220022-2-2-2-22200002-2-220000000000−222−2−222−2000000002-2-220022-2-2-2-22200002-2-220000000000−222−2−222−200000000
χ272-2-220022-2-2-2-2220000-222-200000000002−2−22−222−2000000002-2-220022-2-2-2-2220000-222-200000000002−2−22−222−2000000002-2-220022-2-2-2-2220000-222-200000000002−2−22−222−200000000
χ282-2-220022-2-2-2-2220000-222-20000000000−222−22−2−22000000002-2-220022-2-2-2-2220000-222-20000000000−222−22−2−22000000002-2-220022-2-2-2-2220000-222-20000000000−222−22−2−2200000000
χ294444441-21-21-21-21-21-2000000220022000000000000-1-100-1-14444441-21-21-21-21-21-2000000220022000000000000-1-100-1-14444441-21-21-21-21-21-2000000220022000000000000-1-100-1-1
χ304444441-21-21-21-21-21-2000000-2-200-2-20000000000001100114444441-21-21-21-21-21-2000000-2-200-2-20000000000001100114444441-21-21-21-21-21-2000000-2-200-2-2000000000000110011
χ31444444-21-21-21-21-21-210000220022000000000000-1-100-1-100444444-21-21-21-21-21-210000220022000000000000-1-100-1-100444444-21-21-21-21-21-210000220022000000000000-1-100-1-100
χ32444444-21-21-21-21-21-210000-2-200-2-200000000000011001100444444-21-21-21-21-21-210000-2-200-2-200000000000011001100444444-21-21-21-21-21-210000-2-200-2-200000000000011001100
χ334444-4-41-21-21-21-2-12-120000002200-2-2000000000000-1-100114444-4-41-21-21-21-2-12-120000002200-2-2000000000000-1-100114444-4-41-21-21-21-2-12-120000002200-2-2000000000000-1-10011
χ344444-4-41-21-21-21-2-12-12000000-2-200220000000000001100-1-14444-4-41-21-21-21-2-12-12000000-2-200220000000000001100-1-14444-4-41-21-21-21-2-12-12000000-2-200220000000000001100-1-1
χ354444-4-4-21-21-21-212-12-100002200-2-2000000000000-1-10011004444-4-4-21-21-21-212-12-100002200-2-2000000000000-1-10011004444-4-4-21-21-21-212-12-100002200-2-2000000000000-1-1001100
χ364444-4-4-21-21-21-212-12-10000-2-200220000000000001100-1-1004444-4-4-21-21-21-212-12-10000-2-200220000000000001100-1-1004444-4-4-21-21-21-212-12-10000-2-200220000000000001100-1-100
χ374-44-44i−4i1-21-2-12-12i−2i−i2i0000002-2002i−2i000000000000-1100−ii4-44-44i−4i1-21-2-12-12i−2i−i2i0000002-2002i−2i000000000000-1100−ii4-44-44i−4i1-21-2-12-12i−2i−i2i0000002-2002i−2i000000000000-1100−ii
χ384-44-44i−4i1-21-2-12-12i−2i−i2i000000-2200−2i2i0000000000001-100i−i4-44-44i−4i1-21-2-12-12i−2i−i2i000000-2200−2i2i0000000000001-100i−i4-44-44i−4i1-21-2-12-12i−2i−i2i000000-2200−2i2i0000000000001-100i−i
χ394-44-44i−4i-21-212-12-1−2ii2i−i00002-2002i−2i000000000000-1100−ii004-44-44i−4i-21-212-12-1−2ii2i−i00002-2002i−2i000000000000-1100−ii004-44-44i−4i-21-212-12-1−2ii2i−i00002-2002i−2i000000000000-1100−ii00
χ404-44-44i−4i-21-212-12-1−2ii2i−i0000-2200−2i2i0000000000001-100i−i004-44-44i−4i-21-212-12-1−2ii2i−i0000-2200−2i2i0000000000001-100i−i004-44-44i−4i-21-212-12-1−2ii2i−i0000-2200−2i2i0000000000001-100i−i00
χ414-44-4−4i4i1-21-2-12-12−i2ii−2i0000002-200−2i2i000000000000-1100i−i4-44-4−4i4i1-21-2-12-12−i2ii−2i0000002-200−2i2i000000000000-1100i−i4-44-4−4i4i1-21-2-12-12−i2ii−2i0000002-200−2i2i000000000000-1100i−i
χ424-44-4−4i4i1-21-2-12-12−i2ii−2i000000-22002i−2i0000000000001-100−ii4-44-4−4i4i1-21-2-12-12−i2ii−2i000000-22002i−2i0000000000001-100−ii4-44-4−4i4i1-21-2-12-12−i2ii−2i000000-22002i−2i0000000000001-100−ii
χ434-44-4−4i4i-21-212-12-12i−i−2ii00002-200−2i2i000000000000-1100i−i004-44-4−4i4i-21-212-12-12i−i−2ii00002-200−2i2i000000000000-1100i−i004-44-4−4i4i-21-212-12-12i−i−2ii00002-200−2i2i000000000000-1100i−i00
χ444-44-4−4i4i-21-212-12-12i−i−2ii0000-22002i−2i0000000000001-100−ii004-44-4−4i4i-21-212-12-12i−i−2ii0000-22002i−2i0000000000001-100−ii004-44-4−4i4i-21-212-12-12i−i−2ii0000-22002i−2i0000000000001-100−ii00
χ4588-8-8002-4-242-4-24000000000000000000000000000000000088-8-8002-4-242-4-24000000000000000000000000000000000088-8-8002-4-242-4-240000000000000000000000000000000000
χ4688-8-800-424-2-424-2000000000000000000000000000000000088-8-800-424-2-424-2000000000000000000000000000000000088-8-800-424-2-424-20000000000000000000000000000000000
χ478-8-88002-4-24-242-400000000000000000000000000000000008-8-88002-4-24-242-400000000000000000000000000000000008-8-88002-4-24-242-40000000000000000000000000000000000
χ488-8-8800-424-24-2-4200000000000000000000000000000000008-8-8800-424-24-2-4200000000000000000000000000000000008-8-8800-424-24-2-420000000000000000000000000000000000
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
χ50111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1−1+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+i321−i321−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−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−i321+i321+i32−1−i32−1−i321+i321+i32
χ511111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−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−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+i32−1−i32−1−i321+i321+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
χ531111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1−1+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−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ541111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111−1+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−i32−1+i32−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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−i321+i321+i321+i321+i32−1−i32−1−i32
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χ581-11-1i−i1111-1-1-1-1ii−i−iii−i−i1-1-11i−i−ii1-1-1-111−i−iii1-1-11i−i−ii−1+i321−i32−1+i321−i32ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i321−i32−1+i32ζ14−ζ14−ζ14ζ14−1+i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i321−i32−1+i32ζ14−ζ14−ζ14ζ14−1−i321+i32−1−i321+i32ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i321+i32−1−i32ζ22−ζ22−ζ22ζ22−1−i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i321+i32−1−i32ζ22−ζ22−ζ22ζ22
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χ1011111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ1021111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111−1−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+i32−1−i32−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i32
χ1031111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1−1−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+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−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−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+i32−1+i32−1+i321−i321−i32
χ1041111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111−1−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+i321+i321+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+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1051-11-1i−i1111-1-1-1-1ii−i−iii−i−i1-11-1i−ii−i1-111-1-1ii−i−i1-11-1i−ii−i−1−i321+i32−1−i321+i32ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−1+i321−i32−1+i321−i32ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14
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χ1202-22-2−2i2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i00000000-220000000000000000−1−i31+i3−1−i31+i3−2ζ222ζ22−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−2ζ22−2ζ222ζ222ζ222ζ222ζ22−2ζ22−2ζ22000000001+i3−1−i30000000000000000−1+i31−i3−1+i31−i3−2ζ142ζ14−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−2ζ14−2ζ142ζ142ζ142ζ142ζ14−2ζ14−2ζ14000000001−i3−1+i30000000000000000
χ1212-2-220022-2-2-2-22200002-2-2200000000002−2−222−2−2200000000−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000−1−i31+i31+i3−1−i30000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000−1+i31−i31−i3−1+i30000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ1222-2-220022-2-2-2-22200002-2-220000000000−222−2−222−200000000−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i30000−1−i31+i31+i3−1−i30000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i30000−1+i31−i31−i3−1+i30000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ1232-2-220022-2-2-2-2220000-222-200000000002−2−22−222−200000000−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i30000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i30000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ1242-2-220022-2-2-2-2220000-222-20000000000−222−22−2−2200000000−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i30000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i30000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ1254444441-21-21-21-21-21-2000000220022000000000000-1-100-1-1−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3000000−1−i3−1−i300−1−i3−1−i30000000000001+i321+i32001+i321+i32−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3000000−1+i3−1+i300−1+i3−1+i30000000000001−i321−i32001−i321−i32
χ1264444441-21-21-21-21-21-2000000-2-200-2-2000000000000110011−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i30000001+i31+i3001+i31+i3000000000000−1−i32−1−i3200−1−i32−1−i32−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i30000001−i31−i3001−i31−i3000000000000−1+i32−1+i3200−1+i32−1+i32
χ127444444-21-21-21-21-21-210000220022000000000000-1-100-1-100−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i320000−1−i3−1−i300−1−i3−1−i30000000000001+i321+i32001+i321+i3200−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i320000−1+i3−1+i300−1+i3−1+i30000000000001−i321−i32001−i321−i3200
χ128444444-21-21-21-21-21-210000-2-200-2-200000000000011001100−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i3200001+i31+i3001+i31+i3000000000000−1−i32−1−i3200−1−i32−1−i3200−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i3200001−i31−i3001−i31−i3000000000000−1+i32−1+i3200−1+i32−1+i3200
χ1294444-4-41-21-21-21-2-12-120000002200-2-2000000000000-1-10011−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3000000−1−i3−1−i3001+i31+i30000000000001+i321+i3200−1−i32−1−i32−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3000000−1+i3−1+i3001−i31−i30000000000001−i321−i3200−1+i32−1+i32
χ1304444-4-41-21-21-21-2-12-12000000-2-200220000000000001100-1-1−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i30000001+i31+i300−1−i3−1−i3000000000000−1−i32−1−i32001+i321+i32−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i30000001−i31−i300−1+i3−1+i3000000000000−1+i32−1+i32001−i321−i32
χ1314444-4-4-21-21-21-212-12-100002200-2-2000000000000-1-1001100−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i320000−1−i3−1−i3001+i31+i30000000000001+i321+i3200−1−i32−1−i3200−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i320000−1+i3−1+i3001−i31−i30000000000001−i321−i3200−1+i32−1+i3200
χ1324444-4-4-21-21-21-212-12-10000-2-200220000000000001100-1-100−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i3200001+i31+i300−1−i3−1−i3000000000000−1−i32−1−i32001+i321+i3200−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i3200001−i31−i300−1+i3−1+i3000000000000−1+i32−1+i32001−i321−i3200
χ1334-44-44i−4i1-21-2-12-12i−2i−i2i0000002-2002i−2i000000000000-1100−ii−2−2i32+2i3−2−2i32+2i34ζ22−4ζ22−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3ζ22−2ζ22−ζ222ζ22000000−1−i31+i3002ζ22−2ζ220000000000001+i32−1−i3200−ζ22ζ22−2+2i32−2i3−2+2i32−2i34ζ14−4ζ14−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3ζ14−2ζ14−ζ142ζ14000000−1+i31−i3002ζ14−2ζ140000000000001−i32−1+i3200−ζ14ζ14
χ1344-44-44i−4i1-21-2-12-12i−2i−i2i000000-2200−2i2i0000000000001-100i−i−2−2i32+2i3−2−2i32+2i34ζ22−4ζ22−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3ζ22−2ζ22−ζ222ζ220000001+i3−1−i300−2ζ222ζ22000000000000−1−i321+i3200ζ22−ζ22−2+2i32−2i3−2+2i32−2i34ζ14−4ζ14−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3ζ14−2ζ14−ζ142ζ140000001−i3−1+i300−2ζ142ζ14000000000000−1+i321−i3200ζ14−ζ14
χ1354-44-44i−4i-21-212-12-1−2ii2i−i00002-2002i−2i000000000000-1100−ii00−2−2i32+2i3−2−2i32+2i34ζ22−4ζ221+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32−2ζ22ζ222ζ22−ζ220000−1−i31+i3002ζ22−2ζ220000000000001+i32−1−i3200−ζ22ζ2200−2+2i32−2i3−2+2i32−2i34ζ14−4ζ141−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32−2ζ14ζ142ζ14−ζ140000−1+i31−i3002ζ14−2ζ140000000000001−i32−1+i3200−ζ14ζ1400
χ1364-44-44i−4i-21-212-12-1−2ii2i−i0000-2200−2i2i0000000000001-100i−i00−2−2i32+2i3−2−2i32+2i34ζ22−4ζ221+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32−2ζ22ζ222ζ22−ζ2200001+i3−1−i300−2ζ222ζ22000000000000−1−i321+i3200ζ22−ζ2200−2+2i32−2i3−2+2i32−2i34ζ14−4ζ141−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32−2ζ14ζ142ζ14−ζ1400001−i3−1+i300−2ζ142ζ14000000000000−1+i321−i3200ζ14−ζ1400
χ1374-44-4−4i4i1-21-2-12-12−i2ii−2i0000002-200−2i2i000000000000-1100i−i−2−2i32+2i3−2−2i32+2i3−4ζ224ζ22−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3−ζ222ζ22ζ22−2ζ22000000−1−i31+i300−2ζ222ζ220000000000001+i32−1−i3200ζ22−ζ22−2+2i32−2i3−2+2i32−2i3−4ζ144ζ14−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3−ζ142ζ14ζ14−2ζ14000000−1+i31−i300−2ζ142ζ140000000000001−i32−1+i3200ζ14−ζ14
χ1384-44-4−4i4i1-21-2-12-12−i2ii−2i000000-22002i−2i0000000000001-100−ii−2−2i32+2i3−2−2i32+2i3−4ζ224ζ22−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3−ζ222ζ22ζ22−2ζ220000001+i3−1−i3002ζ22−2ζ22000000000000−1−i321+i3200−ζ22ζ22−2+2i32−2i3−2+2i32−2i3−4ζ144ζ14−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3−ζ142ζ14ζ14−2ζ140000001−i3−1+i3002ζ14−2ζ14000000000000−1+i321−i3200−ζ14ζ14
χ1394-44-4−4i4i-21-212-12-12i−i−2ii00002-200−2i2i000000000000-1100i−i00−2−2i32+2i3−2−2i32+2i3−4ζ224ζ221+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i322ζ22−ζ22−2ζ22ζ220000−1−i31+i300−2ζ222ζ220000000000001+i32−1−i3200ζ22−ζ2200−2+2i32−2i3−2+2i32−2i3−4ζ144ζ141−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i322ζ14−ζ14−2ζ14ζ140000−1+i31−i300−2ζ142ζ140000000000001−i32−1+i3200ζ14−ζ1400
χ1404-44-4−4i4i-21-212-12-12i−i−2ii0000-22002i−2i0000000000001-100−ii00−2−2i32+2i3−2−2i32+2i3−4ζ224ζ221+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i322ζ22−ζ22−2ζ22ζ2200001+i3−1−i3002ζ22−2ζ22000000000000−1−i321+i3200−ζ22ζ2200−2+2i32−2i3−2+2i32−2i3−4ζ144ζ141−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i322ζ14−ζ14−2ζ14ζ1400001−i3−1+i3002ζ14−2ζ14000000000000−1+i321−i3200−ζ14ζ1400
χ14188-8-8002-4-242-4-240000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i300−1−i32+2i31+i3−2−2i3−1−i32+2i31+i3−2−2i30000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i300−1+i32−2i31−i3−2+2i3−1+i32−2i31−i3−2+2i30000000000000000000000000000000000
χ14288-8-800-424-2-424-20000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i3−1−i3−2−2i31+i32+2i3−1−i3−2−2i31+i30000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i3−1+i3−2+2i31−i32−2i3−1+i3−2+2i31−i30000000000000000000000000000000000
χ1438-8-88002-4-24-242-40000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i300−1−i32+2i31+i3−2−2i31+i3−2−2i3−1−i32+2i30000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i300−1+i32−2i31−i3−2+2i31−i3−2+2i3−1+i32−2i30000000000000000000000000000000000
χ1448-8-8800-424-24-2-420000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i3002+2i3−1−i3−2−2i31+i3−2−2i31+i32+2i3−1−i30000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i3002−2i3−1+i3−2+2i31−i3−2+2i31−i32−2i3−1+i30000000000000000000000000000000000

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