Finite Group Databasebeta

← Group #11920929

Character table — Group #11920929

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222666688888888888888881212121212121212121224242424111111112222666688888888888888881212121212121212121224242424111111112222666688888888888888881212121212121212121224242424
order1222222244444444366666661212121212121212228888888844443666666612121212121212123666666612121212121212126624242424242424241212121236666666121212121212121236666666121212121212121266242424242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111-1-11-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11-1ii−i−iii−i−ii−ii−i111-1-11-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11-1ii−i−iii−i−ii−ii−i111-1-11-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11-1ii−i−iii−i−ii−ii−i
χ6111-1-11-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11-1−i−iii−i−iii−ii−ii111-1-11-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11-1−i−iii−i−iii−ii−ii111-1-11-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11-1−i−iii−i−iii−ii−ii
χ7111-1-11-1-1-1-11111-1-1111-1-1-1-11-1-1-1-11111-11ii−i−i−i−iiii−i−ii111-1-11-1-1-1-11111-1-1111-1-1-1-11-1-1-1-11111-11ii−i−i−i−iiii−i−ii111-1-11-1-1-1-11111-1-1111-1-1-1-11-1-1-1-11111-11ii−i−i−i−iiii−i−ii
χ8111-1-11-1-1-1-11111-1-1111-1-1-1-11-1-1-1-11111-11−i−iiiii−i−i−iii−i111-1-11-1-1-1-11111-1-1111-1-1-1-11-1-1-1-11111-11−i−iiiii−i−i−iii−i111-1-11-1-1-1-11111-1-1111-1-1-1-11-1-1-1-11111-11−i−iiiii−i−i−iii−i
χ92222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000000
χ1022222222-2-2-2-22222-1-1-1-1-1-1-1-111111111-2-200000000000022222222-2-2-2-22222-1-1-1-1-1-1-1-111111111-2-200000000000022222222-2-2-2-22222-1-1-1-1-1-1-1-111111111-2-2000000000000
χ11222-2-22-2-222-2-222-2-2-1-1-11111-1-1-1-1-111112-2000000000000222-2-22-2-222-2-222-2-2-1-1-11111-1-1-1-1-111112-2000000000000222-2-22-2-222-2-222-2-2-1-1-11111-1-1-1-1-111112-2000000000000
χ12222-2-22-2-2-2-22222-2-2-1-1-11111-11111-1-1-1-1-22000000000000222-2-22-2-2-2-22222-2-2-1-1-11111-11111-1-1-1-1-22000000000000222-2-22-2-2-2-22222-2-2-1-1-11111-11111-1-1-1-1-22000000000000
χ1322-22-2-22-22i−2i2i−2i0000-11-111-1-11ii−i−iii−i−i002−22−2−i2i2−i2i2000022-22-2-22-22i−2i2i−2i0000-11-111-1-11ii−i−iii−i−i002−22−2−i2i2−i2i2000022-22-2-22-22i−2i2i−2i0000-11-111-1-11ii−i−iii−i−i002−22−2−i2i2−i2i20000
χ1422-22-2-22-22i−2i2i−2i0000-11-111-1-11ii−i−iii−i−i00−22−22i2−i2i2−i2000022-22-2-22-22i−2i2i−2i0000-11-111-1-11ii−i−iii−i−i00−22−22i2−i2i2−i2000022-22-2-22-22i−2i2i−2i0000-11-111-1-11ii−i−iii−i−i00−22−22i2−i2i2−i20000
χ1522-22-2-22-2−2i2i−2i2i0000-11-111-1-11−i−iii−i−iii002−22−2i2−i2i2−i2000022-22-2-22-2−2i2i−2i2i0000-11-111-1-11−i−iii−i−iii002−22−2i2−i2i2−i2000022-22-2-22-2−2i2i−2i2i0000-11-111-1-11−i−iii−i−iii002−22−2i2−i2i2−i20000
χ1622-22-2-22-2−2i2i−2i2i0000-11-111-1-11−i−iii−i−iii00−22−22−i2i2−i2i2000022-22-2-22-2−2i2i−2i2i0000-11-111-1-11−i−iii−i−iii00−22−22−i2i2−i2i2000022-22-2-22-2−2i2i−2i2i0000-11-111-1-11−i−iii−i−iii00−22−22−i2i2−i2i20000
χ1722-2-22-2-222i−2i−2i2i0000-11-1-1-1111ii−i−i−i−iii00−i2i2i2−i2−222−2000022-2-22-2-222i−2i−2i2i0000-11-1-1-1111ii−i−i−i−iii00−i2i2i2−i2−222−2000022-2-22-2-222i−2i−2i2i0000-11-1-1-1111ii−i−i−i−iii00−i2i2i2−i2−222−20000
χ1822-2-22-2-222i−2i−2i2i0000-11-1-1-1111ii−i−i−i−iii00i2−i2−i2i22−2−22000022-2-22-2-222i−2i−2i2i0000-11-1-1-1111ii−i−i−i−iii00i2−i2−i2i22−2−22000022-2-22-2-222i−2i−2i2i0000-11-1-1-1111ii−i−i−i−iii00i2−i2−i2i22−2−220000
χ1922-2-22-2-22−2i2i2i−2i0000-11-1-1-1111−i−iiiii−i−i00−i2i2i2−i22−2−22000022-2-22-2-22−2i2i2i−2i0000-11-1-1-1111−i−iiiii−i−i00−i2i2i2−i22−2−22000022-2-22-2-22−2i2i2i−2i0000-11-1-1-1111−i−iiiii−i−i00−i2i2i2−i22−2−220000
χ2022-2-22-2-22−2i2i2i−2i0000-11-1-1-1111−i−iiiii−i−i00i2−i2−i2i2−222−2000022-2-22-2-22−2i2i2i−2i0000-11-1-1-1111−i−iiiii−i−i00i2−i2−i2i2−222−2000022-2-22-2-22−2i2i2i−2i0000-11-1-1-1111−i−iiiii−i−i00i2−i2−i2i2−222−20000
χ212-2-22-22-2200002-22-22-2-22-22-2200000000000000000000002-2-22-22-2200002-22-22-2-22-22-2200000000000000000000002-2-22-22-2200002-22-22-2-22-22-220000000000000000000000
χ222-2-22-22-2200002-22-2-111-11-11-1−i3i3−i3i3−i3i3−i3i3000000000000002-2-22-22-2200002-22-2-111-11-11-1−i3i3−i3i3−i3i3−i3i3000000000000002-2-22-22-2200002-22-2-111-11-11-1−i3i3−i3i3−i3i3−i3i300000000000000
χ232-2-22-22-2200002-22-2-111-11-11-1i3−i3i3−i3i3−i3i3−i3000000000000002-2-22-22-2200002-22-2-111-11-11-1i3−i3i3−i3i3−i3i3−i3000000000000002-2-22-22-2200002-22-2-111-11-11-1i3−i3i3−i3i3−i3i3−i300000000000000
χ242-2-2-2222-200002-2-222-2-2-22-22200000000000000000000002-2-2-2222-200002-2-222-2-2-22-22200000000000000000000002-2-2-2222-200002-2-222-2-2-22-2220000000000000000000000
χ252-2-2-2222-200002-2-22-1111-11-1-1−i3i3−i3i3i3−i3i3−i3000000000000002-2-2-2222-200002-2-22-1111-11-1-1−i3i3−i3i3i3−i3i3−i3000000000000002-2-2-2222-200002-2-22-1111-11-1-1−i3i3−i3i3i3−i3i3−i300000000000000
χ262-2-2-2222-200002-2-22-1111-11-1-1i3−i3i3−i3−i3i3−i3i3000000000000002-2-2-2222-200002-2-22-1111-11-1-1i3−i3i3−i3−i3i3−i3i3000000000000002-2-2-2222-200002-2-22-1111-11-1-1i3−i3i3−i3−i3i3−i3i300000000000000
χ27333333333333-1-1-1-10000000000000000-1-111111111-1-1-1-1333333333333-1-1-1-10000000000000000-1-111111111-1-1-1-1333333333333-1-1-1-10000000000000000-1-111111111-1-1-1-1
χ28333333333333-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-11111333333333333-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-11111333333333333-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-11111
χ2933333333-3-3-3-3-1-1-1-10000000000000000111111-1-1-1-1-1-11133333333-3-3-3-3-1-1-1-10000000000000000111111-1-1-1-1-1-11133333333-3-3-3-3-1-1-1-10000000000000000111111-1-1-1-1-1-111
χ3033333333-3-3-3-3-1-1-1-1000000000000000011-1-1-1-1111111-1-133333333-3-3-3-3-1-1-1-1000000000000000011-1-1-1-1111111-1-133333333-3-3-3-3-1-1-1-1000000000000000011-1-1-1-1111111-1-1
χ31333-3-33-3-333-3-3-1-1110000000000000000-11ii−i−iii−i−i−ii−ii333-3-33-3-333-3-3-1-1110000000000000000-11ii−i−iii−i−i−ii−ii333-3-33-3-333-3-3-1-1110000000000000000-11ii−i−iii−i−i−ii−ii
χ32333-3-33-3-333-3-3-1-1110000000000000000-11−i−iii−i−iiii−ii−i333-3-33-3-333-3-3-1-1110000000000000000-11−i−iii−i−iiii−ii−i333-3-33-3-333-3-3-1-1110000000000000000-11−i−iii−i−iiii−ii−i
χ33333-3-33-3-3-3-333-1-11100000000000000001-1ii−i−i−i−iii−iii−i333-3-33-3-3-3-333-1-11100000000000000001-1ii−i−i−i−iii−iii−i333-3-33-3-3-3-333-1-11100000000000000001-1ii−i−i−i−iii−iii−i
χ34333-3-33-3-3-3-333-1-11100000000000000001-1−i−iiiii−i−ii−i−ii333-3-33-3-3-3-333-1-11100000000000000001-1−i−iiiii−i−ii−i−ii333-3-33-3-3-3-333-1-11100000000000000001-1−i−iiiii−i−ii−i−ii
χ3544-44-4-44-44i−4i4i−4i00001-11-1-111-1−i−iii−i−iii0000000000000044-44-4-44-44i−4i4i−4i00001-11-1-111-1−i−iii−i−iii0000000000000044-44-4-44-44i−4i4i−4i00001-11-1-111-1−i−iii−i−iii00000000000000
χ3644-44-4-44-4−4i4i−4i4i00001-11-1-111-1ii−i−iii−i−i0000000000000044-44-4-44-4−4i4i−4i4i00001-11-1-111-1ii−i−iii−i−i0000000000000044-44-4-44-4−4i4i−4i4i00001-11-1-111-1ii−i−iii−i−i00000000000000
χ3744-4-44-4-444i−4i−4i4i00001-1111-1-1-1−i−iiiii−i−i0000000000000044-4-44-4-444i−4i−4i4i00001-1111-1-1-1−i−iiiii−i−i0000000000000044-4-44-4-444i−4i−4i4i00001-1111-1-1-1−i−iiiii−i−i00000000000000
χ3844-4-44-4-44−4i4i4i−4i00001-1111-1-1-1ii−i−i−i−iii0000000000000044-4-44-4-44−4i4i4i−4i00001-1111-1-1-1ii−i−i−i−iii0000000000000044-4-44-4-44−4i4i4i−4i00001-1111-1-1-1ii−i−i−i−iii00000000000000
χ394-4444-4-4-40000000011-1-111-1-13−3−333−3−33000000000000004-4444-4-4-40000000011-1-111-1-13−3−333−3−33000000000000004-4444-4-4-40000000011-1-111-1-13−3−333−3−3300000000000000
χ404-4444-4-4-40000000011-1-111-1-1−333−3−333−3000000000000004-4444-4-4-40000000011-1-111-1-1−333−3−333−3000000000000004-4444-4-4-40000000011-1-111-1-1−333−3−333−300000000000000
χ414-4444-4-4-400000000-2-222-2-22200000000000000000000004-4444-4-4-400000000-2-222-2-22200000000000000000000004-4444-4-4-400000000-2-222-2-2220000000000000000000000
χ424-44-4-4-4440000000011-11-1-11-13−3−33−333−3000000000000004-44-4-4-4440000000011-11-1-11-13−3−33−333−3000000000000004-44-4-4-4440000000011-11-1-11-13−3−33−333−300000000000000
χ434-44-4-4-4440000000011-11-1-11-1−333−33−3−33000000000000004-44-4-4-4440000000011-11-1-11-1−333−33−3−33000000000000004-44-4-4-4440000000011-11-1-11-1−333−33−3−3300000000000000
χ444-44-4-4-44400000000-2-22-222-2200000000000000000000004-44-4-4-44400000000-2-22-222-2200000000000000000000004-44-4-4-44400000000-2-22-222-220000000000000000000000
χ456-6-66-66-660000-22-220000000000000000000000000000006-6-66-66-660000-22-220000000000000000000000000000006-6-66-66-660000-22-22000000000000000000000000000000
χ466-6-6-6666-60000-222-20000000000000000000000000000006-6-6-6666-60000-222-20000000000000000000000000000006-6-6-6666-60000-222-2000000000000000000000000000000
χ471111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ481111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+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+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−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−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
χ4911111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−1+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+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−i321−i321−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−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+i321+i321+i32−1−i32−1−i321+i321+i32
χ5011111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−1+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+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−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ51111-1-11-1-111-1-111-1-1111-1-1-1-111111-1-1-1-11-1ii−i−iii−i−ii−ii−i−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+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+i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22
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χ10822-22-2-22-2−2i2i−2i2i0000-11-111-1-11−i−iii−i−iii00−22−22−i2i2−i2i20000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−2ζ222ζ22−2ζ222ζ2200001+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ2200ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−2ζ142ζ14−2ζ142ζ1400001−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ1400−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000
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χ12133333333-3-3-3-3-1-1-1-10000000000000000111111-1-1-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i323+3i321+i321+i321+i321+i320000000000000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i323−3i321−i321−i321−i321−i320000000000000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ12233333333-3-3-3-3-1-1-1-1000000000000000011-1-1-1-1111111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i323+3i323+3i321+i321+i321+i321+i320000000000000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i323−3i323−3i321−i321−i321−i321−i320000000000000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ123333-3-33-3-333-3-3-1-1110000000000000000-11ii−i−iii−i−i−ii−ii−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i321+i321+i32−1−i32−1−i3200000000000000001+i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i321−i321−i32−1+i32−1+i3200000000000000001−i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ124333-3-33-3-333-3-3-1-1110000000000000000-11−i−iii−i−iiii−ii−i−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i323+3i32−3−3i32−3−3i323+3i323+3i321+i321+i32−1−i32−1−i3200000000000000001+i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i323−3i32−3+3i32−3+3i323−3i323−3i321−i321−i32−1+i32−1+i3200000000000000001−i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14
χ125333-3-33-3-3-3-333-1-11100000000000000001-1ii−i−i−i−iii−iii−i−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i323+3i323+3i323+3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i320000000000000000−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i323−3i323−3i323−3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i320000000000000000−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14
χ126333-3-33-3-3-3-333-1-11100000000000000001-1−i−iiiii−i−ii−i−ii−3−3i32−3−3i32−3−3i323+3i323+3i32−3−3i323+3i323+3i323+3i323+3i32−3−3i32−3−3i321+i321+i32−1−i32−1−i320000000000000000−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−3+3i32−3+3i32−3+3i323−3i323−3i32−3+3i323−3i323−3i323−3i323−3i32−3+3i32−3+3i321−i321−i32−1+i32−1+i320000000000000000−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14
χ12744-44-4-44-44i−4i4i−4i00001-11-1-111-1−i−iii−i−iii00000000000000−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i34ζ22−4ζ224ζ22−4ζ220000−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ2200000000000000−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i34ζ14−4ζ144ζ14−4ζ140000−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ1400000000000000
χ12844-44-4-44-4−4i4i−4i4i00001-11-1-111-1ii−i−iii−i−i00000000000000−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i3−4ζ224ζ22−4ζ224ζ220000−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ2200000000000000−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i3−4ζ144ζ14−4ζ144ζ140000−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ1400000000000000
χ12944-4-44-4-444i−4i−4i4i00001-1111-1-1-1−i−iiiii−i−i00000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i34ζ22−4ζ22−4ζ224ζ220000−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ2200000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i34ζ14−4ζ14−4ζ144ζ140000−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ1400000000000000
χ13044-4-44-4-44−4i4i4i−4i00001-1111-1-1-1ii−i−i−i−iii00000000000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ220000−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ2200000000000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ140000−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ1400000000000000
χ1314-4444-4-4-40000000011-1-111-1-13−3−333−3−3300000000000000−2−2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i300000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ2200000000000000−2+2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i300000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ2200000000000000
χ1324-4444-4-4-40000000011-1-111-1-1−333−3−333−300000000000000−2−2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i300000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ2200000000000000−2+2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i300000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ2200000000000000
χ1334-4444-4-4-400000000-2-222-2-2220000000000000000000000−2−2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i3000000001+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i30000000000000000000000−2+2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i3000000001−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i30000000000000000000000
χ1344-44-4-4-4440000000011-11-1-11-13−3−33−333−300000000000000−2−2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i300000000−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ2200000000000000−2+2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i300000000−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ2200000000000000
χ1354-44-4-4-4440000000011-11-1-11-1−333−33−3−3300000000000000−2−2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i300000000−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ2200000000000000−2+2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i300000000−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ2200000000000000
χ1364-44-4-4-44400000000-2-22-222-220000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i3000000001+i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i30000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i3000000001−i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i30000000000000000000000
χ1376-6-66-66-660000-22-22000000000000000000000000000000−3−3i33+3i33+3i3−3−3i33+3i3−3−3i33+3i3−3−3i300001+i3−1−i31+i3−1−i3000000000000000000000000000000−3+3i33−3i33−3i3−3+3i33−3i3−3+3i33−3i3−3+3i300001−i3−1+i31−i3−1+i3000000000000000000000000000000
χ1386-6-6-6666-60000-222-2000000000000000000000000000000−3−3i33+3i33+3i33+3i3−3−3i3−3−3i3−3−3i33+3i300001+i3−1−i3−1−i31+i3000000000000000000000000000000−3+3i33−3i33−3i33−3i3−3+3i3−3+3i3−3+3i33−3i300001−i3−1+i3−1+i31−i3000000000000000000000000000000

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