Finite Group Databasebeta

← Group #13166761

Character table — Group #13166761

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122444444448888999912121212121212121818181818181818181824242424242424241111224444444488889999121212121212121218181818181818181818242424242424242411112244444444888899991212121212121212181818181818181818182424242424242424
order122244336666661212121222222244444444444444446612121212121236661212336666661212121266666612121212121212121212121212121212661212121212123666121233666666121212126666661212121212121212121212121212121266121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ51111-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111111-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111
χ71111-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ81111-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111
χ911-1-1i−i11-11-11-1-1i−ii−i1-11-11-1i−i1-1i−ii−i11-1-1ii−i−i1-1i−i1-1i−i11-1-1i−i11-11-11-1-1i−ii−i1-11-11-1i−i1-1i−ii−i11-1-1ii−i−i1-1i−i1-1i−i11-1-1i−i11-11-11-1-1i−ii−i1-11-11-1i−i1-1i−ii−i11-1-1ii−i−i1-1i−i1-1i−i
χ1011-1-1i−i11-11-11-1-1i−ii−i1-11-11-1i−i-11−iii−i-1-111−i−iii1-1i−i-11−ii11-1-1i−i11-11-11-1-1i−ii−i1-11-11-1i−i-11−iii−i-1-111−i−iii1-1i−i-11−ii11-1-1i−i11-11-11-1-1i−ii−i1-11-11-1i−i-11−iii−i-1-111−i−iii1-1i−i-11−ii
χ1111-1-1i−i11-11-11-1-1i−ii−i1-11-1-11−ii1-1i−ii−i-1-111−i−iii-11−ii1-1i−i11-1-1i−i11-11-11-1-1i−ii−i1-11-1-11−ii1-1i−ii−i-1-111−i−iii-11−ii1-1i−i11-1-1i−i11-11-11-1-1i−ii−i1-11-1-11−ii1-1i−ii−i-1-111−i−iii-11−ii1-1i−i
χ1211-1-1i−i11-11-11-1-1i−ii−i1-11-1-11−ii-11−iii−i11-1-1ii−i−i-11−ii-11−ii11-1-1i−i11-11-11-1-1i−ii−i1-11-1-11−ii-11−iii−i11-1-1ii−i−i-11−ii-11−ii11-1-1i−i11-11-11-1-1i−ii−i1-11-1-11−ii-11−iii−i11-1-1ii−i−i-11−ii-11−ii
χ1311-1-1−ii11-11-11-1-1−ii−ii1-11-11-1−ii1-1−ii−ii11-1-1−i−iii1-1−ii1-1−ii11-1-1−ii11-11-11-1-1−ii−ii1-11-11-1−ii1-1−ii−ii11-1-1−i−iii1-1−ii1-1−ii11-1-1−ii11-11-11-1-1−ii−ii1-11-11-1−ii1-1−ii−ii11-1-1−i−iii1-1−ii1-1−ii
χ1411-1-1−ii11-11-11-1-1−ii−ii1-11-11-1−ii-11i−i−ii-1-111ii−i−i1-1−ii-11i−i11-1-1−ii11-11-11-1-1−ii−ii1-11-11-1−ii-11i−i−ii-1-111ii−i−i1-1−ii-11i−i11-1-1−ii11-11-11-1-1−ii−ii1-11-11-1−ii-11i−i−ii-1-111ii−i−i1-1−ii-11i−i
χ1511-1-1−ii11-11-11-1-1−ii−ii1-11-1-11i−i1-1−ii−ii-1-111ii−i−i-11i−i1-1−ii11-1-1−ii11-11-11-1-1−ii−ii1-11-1-11i−i1-1−ii−ii-1-111ii−i−i-11i−i1-1−ii11-1-1−ii11-11-11-1-1−ii−ii1-11-1-11i−i1-1−ii−ii-1-111ii−i−i-11i−i1-1−ii
χ1611-1-1−ii11-11-11-1-1−ii−ii1-11-1-11i−i-11i−i−ii11-1-1−i−iii-11i−i-11i−i11-1-1−ii11-11-11-1-1−ii−ii1-11-1-11i−i-11i−i−ii11-1-1−i−iii-11i−i-11i−i11-1-1−ii11-11-11-1-1−ii−ii1-11-1-11i−i-11i−i−ii11-1-1−i−iii-11i−i-11i−i
χ17222222222222222222-2-2-2-200000000-2-20000000000000000222222222222222222-2-2-2-200000000-2-20000000000000000222222222222222222-2-2-2-200000000-2-20000000000000000
χ182222-2-222222222-2-2-2-2-2-2-2-2000000002200000000000000002222-2-222222222-2-2-2-2-2-2-2-2000000002200000000000000002222-2-222222222-2-2-2-2-2-2-2-200000000220000000000000000
χ1922-2-22i−2i22-22-22-2-22i−2i2i−2i-22-2200000000−2i2i000000000000000022-2-22i−2i22-22-22-2-22i−2i2i−2i-22-2200000000−2i2i000000000000000022-2-22i−2i22-22-22-2-22i−2i2i−2i-22-2200000000−2i2i0000000000000000
χ2022-2-2−2i2i22-22-22-2-2−2i2i−2i2i-22-22000000002i−2i000000000000000022-2-2−2i2i22-22-22-2-2−2i2i−2i2i-22-22000000002i−2i000000000000000022-2-2−2i2i22-22-22-2-2−2i2i−2i2i-22-22000000002i−2i0000000000000000
χ212-22-200222-2-2-22-200002-2-2200000000002i−2i2i−2i0000000000002-22-200222-2-2-22-200002-2-2200000000002i−2i2i−2i0000000000002-22-200222-2-2-22-200002-2-2200000000002i−2i2i−2i000000000000
χ222-22-200222-2-2-22-200002-2-220000000000−2i2i−2i2i0000000000002-22-200222-2-2-22-200002-2-220000000000−2i2i−2i2i0000000000002-22-200222-2-2-22-200002-2-220000000000−2i2i−2i2i000000000000
χ232-22-200222-2-2-22-20000-222-2000000000000002i−2i2i−2i000000002-22-200222-2-2-22-20000-222-2000000000000002i−2i2i−2i000000002-22-200222-2-2-22-20000-222-2000000000000002i−2i2i−2i00000000
χ242-22-200222-2-2-22-20000-222-200000000000000−2i2i−2i2i000000002-22-200222-2-2-22-20000-222-200000000000000−2i2i−2i2i000000002-22-200222-2-2-22-20000-222-200000000000000−2i2i−2i2i00000000
χ252-2-220022-2-22-2-22000022-2-200000000002i−2i−2i2i0000000000002-2-220022-2-22-2-22000022-2-200000000002i−2i−2i2i0000000000002-2-220022-2-22-2-22000022-2-200000000002i−2i−2i2i000000000000
χ262-2-220022-2-22-2-22000022-2-20000000000−2i2i2i−2i0000000000002-2-220022-2-22-2-22000022-2-20000000000−2i2i2i−2i0000000000002-2-220022-2-22-2-22000022-2-20000000000−2i2i2i−2i000000000000
χ272-2-220022-2-22-2-220000-2-222000000000000002-2-22000000002-2-220022-2-22-2-220000-2-222000000000000002-2-22000000002-2-220022-2-22-2-220000-2-222000000000000002-2-2200000000
χ282-2-220022-2-22-2-220000-2-22200000000000000-222-2000000002-2-220022-2-22-2-220000-2-22200000000000000-222-2000000002-2-220022-2-22-2-220000-2-22200000000000000-222-200000000
χ294444441-21-2-21-21-2-21100000000222200000000000000-1-1-1-14444441-21-2-21-21-2-21100000000222200000000000000-1-1-1-14444441-21-2-21-21-2-21100000000222200000000000000-1-1-1-1
χ304444441-21-2-21-21-2-21100000000-2-2-2-20000000000000011114444441-21-2-21-21-2-21100000000-2-2-2-20000000000000011114444441-21-2-21-21-2-21100000000-2-2-2-2000000000000001111
χ31444444-21-211-21-211-2-20000222200000000000000-1-1-1-10000444444-21-211-21-211-2-20000222200000000000000-1-1-1-10000444444-21-211-21-211-2-20000222200000000000000-1-1-1-10000
χ32444444-21-211-21-211-2-20000-2-2-2-20000000000000011110000444444-21-211-21-211-2-20000-2-2-2-20000000000000011110000444444-21-211-21-211-2-20000-2-2-2-20000000000000011110000
χ334444-4-41-21-2-21-2122-1-10000000022-2-200000000000000-1-1114444-4-41-21-2-21-2122-1-10000000022-2-200000000000000-1-1114444-4-41-21-2-21-2122-1-10000000022-2-200000000000000-1-111
χ344444-4-41-21-2-21-2122-1-100000000-2-2220000000000000011-1-14444-4-41-21-2-21-2122-1-100000000-2-2220000000000000011-1-14444-4-41-21-2-21-2122-1-100000000-2-2220000000000000011-1-1
χ354444-4-4-21-211-21-2-1-122000022-2-200000000000000-1-11100004444-4-4-21-211-21-2-1-122000022-2-200000000000000-1-11100004444-4-4-21-211-21-2-1-122000022-2-200000000000000-1-1110000
χ364444-4-4-21-211-21-2-1-1220000-2-2220000000000000011-1-100004444-4-4-21-211-21-2-1-1220000-2-2220000000000000011-1-100004444-4-4-21-211-21-2-1-1220000-2-2220000000000000011-1-10000
χ3744-4-44i−4i1-2-1-2212-1−2i2ii−i000000002-22i−2i00000000000000-11−ii44-4-44i−4i1-2-1-2212-1−2i2ii−i000000002-22i−2i00000000000000-11−ii44-4-44i−4i1-2-1-2212-1−2i2ii−i000000002-22i−2i00000000000000-11−ii
χ3844-4-44i−4i1-2-1-2212-1−2i2ii−i00000000-22−2i2i000000000000001-1i−i44-4-44i−4i1-2-1-2212-1−2i2ii−i00000000-22−2i2i000000000000001-1i−i44-4-44i−4i1-2-1-2212-1−2i2ii−i00000000-22−2i2i000000000000001-1i−i
χ3944-4-44i−4i-2121-1-2-12i−i−2i2i00002-22i−2i00000000000000-11−ii000044-4-44i−4i-2121-1-2-12i−i−2i2i00002-22i−2i00000000000000-11−ii000044-4-44i−4i-2121-1-2-12i−i−2i2i00002-22i−2i00000000000000-11−ii0000
χ4044-4-44i−4i-2121-1-2-12i−i−2i2i0000-22−2i2i000000000000001-1i−i000044-4-44i−4i-2121-1-2-12i−i−2i2i0000-22−2i2i000000000000001-1i−i000044-4-44i−4i-2121-1-2-12i−i−2i2i0000-22−2i2i000000000000001-1i−i0000
χ4144-4-4−4i4i1-2-1-2212-12i−2i−ii000000002-2−2i2i00000000000000-11i−i44-4-4−4i4i1-2-1-2212-12i−2i−ii000000002-2−2i2i00000000000000-11i−i44-4-4−4i4i1-2-1-2212-12i−2i−ii000000002-2−2i2i00000000000000-11i−i
χ4244-4-4−4i4i1-2-1-2212-12i−2i−ii00000000-222i−2i000000000000001-1−ii44-4-4−4i4i1-2-1-2212-12i−2i−ii00000000-222i−2i000000000000001-1−ii44-4-4−4i4i1-2-1-2212-12i−2i−ii00000000-222i−2i000000000000001-1−ii
χ4344-4-4−4i4i-2121-1-2-12−ii2i−2i00002-2−2i2i00000000000000-11i−i000044-4-4−4i4i-2121-1-2-12−ii2i−2i00002-2−2i2i00000000000000-11i−i000044-4-4−4i4i-2121-1-2-12−ii2i−2i00002-2−2i2i00000000000000-11i−i0000
χ4444-4-4−4i4i-2121-1-2-12−ii2i−2i0000-222i−2i000000000000001-1−ii000044-4-4−4i4i-2121-1-2-12−ii2i−2i0000-222i−2i000000000000001-1−ii000044-4-4−4i4i-2121-1-2-12−ii2i−2i0000-222i−2i000000000000001-1−ii0000
χ458-88-8002-4244-2-4-200000000000000000000000000000000008-88-8002-4244-2-4-200000000000000000000000000000000008-88-8002-4244-2-4-20000000000000000000000000000000000
χ468-88-800-42-4-2-242400000000000000000000000000000000008-88-800-42-4-2-242400000000000000000000000000000000008-88-800-42-4-2-24240000000000000000000000000000000000
χ478-8-88002-4-24-4-24200000000000000000000000000000000008-8-88002-4-24-4-24200000000000000000000000000000000008-8-88002-4-24-4-2420000000000000000000000000000000000
χ488-8-8800-424-224-2-400000000000000000000000000000000008-8-8800-424-224-2-400000000000000000000000000000000008-8-8800-424-224-2-40000000000000000000000000000000000
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
χ5011111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1−1+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+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+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
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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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χ1031111-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+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+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−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1041111-1-111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111−1−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+i32−1−i32−1−i32−1−i32−1−i321+i321+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+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−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
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χ1254444441-21-2-21-21-2-21100000000222200000000000000-1-1-1-1−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i3200000000−1−i3−1−i3−1−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+i3200000000−1+i3−1+i3−1+i3−1+i3000000000000001−i321−i321−i321−i32
χ1264444441-21-2-21-21-2-21100000000-2-2-2-2000000000000001111−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32000000001+i31+i31+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+i32000000001−i31−i31−i31−i300000000000000−1+i32−1+i32−1+i32−1+i32
χ127444444-21-211-21-211-2-20000222200000000000000-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i30000−1−i3−1−i3−1−i3−1−i3000000000000001+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+i3−1+i3−1+i3000000000000001−i321−i321−i321−i320000
χ128444444-21-211-21-211-2-20000-2-2-2-20000000000000011110000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i300001+i31+i31+i31+i300000000000000−1−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−i31−i31−i300000000000000−1+i32−1+i32−1+i32−1+i320000
χ1294444-4-41-21-2-21-2122-1-10000000022-2-200000000000000-1-111−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i3200000000−1−i3−1−i31+i31+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−i3200000000−1+i3−1+i31−i31−i3000000000000001−i321−i32−1+i32−1+i32
χ1304444-4-41-21-2-21-2122-1-100000000-2-2220000000000000011-1-1−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i32000000001+i31+i3−1−i3−1−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−i32000000001−i31−i3−1+i3−1+i300000000000000−1+i32−1+i321−i321−i32
χ1314444-4-4-21-211-21-2-1-122000022-2-200000000000000-1-1110000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i30000−1−i3−1−i31+i31+i3000000000000001+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+i31−i31−i3000000000000001−i321−i32−1+i32−1+i320000
χ1324444-4-4-21-211-21-2-1-1220000-2-2220000000000000011-1-10000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i300001+i31+i3−1−i3−1−i300000000000000−1−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−i3−1+i3−1+i300000000000000−1+i32−1+i321−i321−i320000
χ13344-4-44i−4i1-2-1-2212-1−2i2ii−i000000002-22i−2i00000000000000-11−ii−2−2i3−2−2i32+2i32+2i34ζ11−4ζ11−1−i321+i31+i321+i3−1−i3−1−i32−1−i31+i32−2ζ112ζ11ζ11−ζ1100000000−1−i31+i32ζ11−2ζ11000000000000001+i32−1−i32−ζ11ζ11−2+2i3−2+2i32−2i32−2i34ζ7−4ζ7−1+i321−i31−i321−i3−1+i3−1+i32−1+i31−i32−2ζ72ζ7ζ7−ζ700000000−1+i31−i32ζ7−2ζ7000000000000001−i32−1+i32−ζ7ζ7
χ13444-4-44i−4i1-2-1-2212-1−2i2ii−i00000000-22−2i2i000000000000001-1i−i−2−2i3−2−2i32+2i32+2i34ζ11−4ζ11−1−i321+i31+i321+i3−1−i3−1−i32−1−i31+i32−2ζ112ζ11ζ11−ζ11000000001+i3−1−i3−2ζ112ζ1100000000000000−1−i321+i32ζ11−ζ11−2+2i3−2+2i32−2i32−2i34ζ7−4ζ7−1+i321−i31−i321−i3−1+i3−1+i32−1+i31−i32−2ζ72ζ7ζ7−ζ7000000001−i3−1+i3−2ζ72ζ700000000000000−1+i321−i32ζ7−ζ7
χ13544-4-44i−4i-2121-1-2-12i−i−2i2i00002-22i−2i00000000000000-11−ii0000−2−2i3−2−2i32+2i32+2i34ζ11−4ζ111+i3−1−i32−1−i3−1−i321+i321+i31+i32−1−i3ζ11−ζ11−2ζ112ζ110000−1−i31+i32ζ11−2ζ11000000000000001+i32−1−i32−ζ11ζ110000−2+2i3−2+2i32−2i32−2i34ζ7−4ζ71−i3−1+i32−1+i3−1+i321−i321−i31−i32−1+i3ζ7−ζ7−2ζ72ζ70000−1+i31−i32ζ7−2ζ7000000000000001−i32−1+i32−ζ7ζ70000
χ13644-4-44i−4i-2121-1-2-12i−i−2i2i0000-22−2i2i000000000000001-1i−i0000−2−2i3−2−2i32+2i32+2i34ζ11−4ζ111+i3−1−i32−1−i3−1−i321+i321+i31+i32−1−i3ζ11−ζ11−2ζ112ζ1100001+i3−1−i3−2ζ112ζ1100000000000000−1−i321+i32ζ11−ζ110000−2+2i3−2+2i32−2i32−2i34ζ7−4ζ71−i3−1+i32−1+i3−1+i321−i321−i31−i32−1+i3ζ7−ζ7−2ζ72ζ700001−i3−1+i3−2ζ72ζ700000000000000−1+i321−i32ζ7−ζ70000
χ13744-4-4−4i4i1-2-1-2212-12i−2i−ii000000002-2−2i2i00000000000000-11i−i−2−2i3−2−2i32+2i32+2i3−4ζ114ζ11−1−i321+i31+i321+i3−1−i3−1−i32−1−i31+i322ζ11−2ζ11−ζ11ζ1100000000−1−i31+i3−2ζ112ζ11000000000000001+i32−1−i32ζ11−ζ11−2+2i3−2+2i32−2i32−2i3−4ζ74ζ7−1+i321−i31−i321−i3−1+i3−1+i32−1+i31−i322ζ7−2ζ7−ζ7ζ700000000−1+i31−i3−2ζ72ζ7000000000000001−i32−1+i32ζ7−ζ7
χ13844-4-4−4i4i1-2-1-2212-12i−2i−ii00000000-222i−2i000000000000001-1−ii−2−2i3−2−2i32+2i32+2i3−4ζ114ζ11−1−i321+i31+i321+i3−1−i3−1−i32−1−i31+i322ζ11−2ζ11−ζ11ζ11000000001+i3−1−i32ζ11−2ζ1100000000000000−1−i321+i32−ζ11ζ11−2+2i3−2+2i32−2i32−2i3−4ζ74ζ7−1+i321−i31−i321−i3−1+i3−1+i32−1+i31−i322ζ7−2ζ7−ζ7ζ7000000001−i3−1+i32ζ7−2ζ700000000000000−1+i321−i32−ζ7ζ7
χ13944-4-4−4i4i-2121-1-2-12−ii2i−2i00002-2−2i2i00000000000000-11i−i0000−2−2i3−2−2i32+2i32+2i3−4ζ114ζ111+i3−1−i32−1−i3−1−i321+i321+i31+i32−1−i3−ζ11ζ112ζ11−2ζ110000−1−i31+i3−2ζ112ζ11000000000000001+i32−1−i32ζ11−ζ110000−2+2i3−2+2i32−2i32−2i3−4ζ74ζ71−i3−1+i32−1+i3−1+i321−i321−i31−i32−1+i3−ζ7ζ72ζ7−2ζ70000−1+i31−i3−2ζ72ζ7000000000000001−i32−1+i32ζ7−ζ70000
χ14044-4-4−4i4i-2121-1-2-12−ii2i−2i0000-222i−2i000000000000001-1−ii0000−2−2i3−2−2i32+2i32+2i3−4ζ114ζ111+i3−1−i32−1−i3−1−i321+i321+i31+i32−1−i3−ζ11ζ112ζ11−2ζ1100001+i3−1−i32ζ11−2ζ1100000000000000−1−i321+i32−ζ11ζ110000−2+2i3−2+2i32−2i32−2i3−4ζ74ζ71−i3−1+i32−1+i3−1+i321−i321−i31−i32−1+i3−ζ7ζ72ζ7−2ζ700001−i3−1+i32ζ7−2ζ700000000000000−1+i321−i32−ζ7ζ70000
χ1418-88-8002-4244-2-4-20000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i300−1−i32+2i3−1−i3−2−2i3−2−2i31+i32+2i31+i30000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i300−1+i32−2i3−1+i3−2+2i3−2+2i31−i32−2i31−i30000000000000000000000000000000000
χ1428-88-800-42-4-2-24240000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i3002+2i3−1−i32+2i31+i31+i3−2−2i3−1−i3−2−2i30000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i3002−2i3−1+i32−2i31−i31−i3−2+2i3−1+i3−2+2i30000000000000000000000000000000000
χ1438-8-88002-4-24-4-2420000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i300−1−i32+2i31+i3−2−2i32+2i31+i3−2−2i3−1−i30000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i300−1+i32−2i31−i3−2+2i32−2i31−i3−2+2i3−1+i30000000000000000000000000000000000
χ1448-8-8800-424-224-2-40000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i3002+2i3−1−i3−2−2i31+i3−1−i3−2−2i31+i32+2i30000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i3002−2i3−1+i3−2+2i31−i3−1+i3−2+2i31−i32−2i30000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.