Finite Group Databasebeta

← Group #10591869

Character table — Group #10591869

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222223333444444444466666688881212121211112222222222333344444444446666668888121212121111222222222233334444444444666666888812121212
order1222344666888844442244121224242424228888661212444436663121266624242424121212126612121212242424246624242424661212121212123666312126662424242412121212661212121224242424662424242466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ61111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1
χ71111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1
χ81111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ91-1-1111-1-11-1ii−i−i11-1-11-1i−i1-1ii−i−i1-1ii−i−i1-1i−ii−i1-11-1-1111-1-11-1ii−i−i11-1-11-1i−i1-1ii−i−i1-1ii−i−i1-1i−ii−i1-11-1-1111-1-11-1ii−i−i11-1-11-1i−i1-1ii−i−i1-1ii−i−i1-1i−ii−i1-1
χ101-1-1111-1-11-1ii−i−i11-1-1-11−ii1-1ii−i−i1-1ii−i−i-11−ii−ii-111-1-1111-1-11-1ii−i−i11-1-1-11−ii1-1ii−i−i1-1ii−i−i-11−ii−ii-111-1-1111-1-11-1ii−i−i11-1-1-11−ii1-1ii−i−i1-1ii−i−i-11−ii−ii-11
χ111-1-1111-1-11-1ii−i−i-1-1111-1i−i1-1ii−i−i-11−i−iii1-1i−i−ii-111-1-1111-1-11-1ii−i−i-1-1111-1i−i1-1ii−i−i-11−i−iii1-1i−i−ii-111-1-1111-1-11-1ii−i−i-1-1111-1i−i1-1ii−i−i-11−i−iii1-1i−i−ii-11
χ121-1-1111-1-11-1ii−i−i-1-111-11−ii1-1ii−i−i-11−i−iii-11−iii−i1-11-1-1111-1-11-1ii−i−i-1-111-11−ii1-1ii−i−i-11−i−iii-11−iii−i1-11-1-1111-1-11-1ii−i−i-1-111-11−ii1-1ii−i−i-11−i−iii-11−iii−i1-1
χ131-1-1111-1-11-1−i−iii11-1-11-1−ii1-1−i−iii1-1−i−iii1-1−ii−ii1-11-1-1111-1-11-1−i−iii11-1-11-1−ii1-1−i−iii1-1−i−iii1-1−ii−ii1-11-1-1111-1-11-1−i−iii11-1-11-1−ii1-1−i−iii1-1−i−iii1-1−ii−ii1-1
χ141-1-1111-1-11-1−i−iii11-1-1-11i−i1-1−i−iii1-1−i−iii-11i−ii−i-111-1-1111-1-11-1−i−iii11-1-1-11i−i1-1−i−iii1-1−i−iii-11i−ii−i-111-1-1111-1-11-1−i−iii11-1-1-11i−i1-1−i−iii1-1−i−iii-11i−ii−i-11
χ151-1-1111-1-11-1−i−iii-1-1111-1−ii1-1−i−iii-11ii−i−i1-1−iii−i-111-1-1111-1-11-1−i−iii-1-1111-1−ii1-1−i−iii-11ii−i−i1-1−iii−i-111-1-1111-1-11-1−i−iii-1-1111-1−ii1-1−i−iii-11ii−i−i1-1−iii−i-11
χ161-1-1111-1-11-1−i−iii-1-111-11i−i1-1−i−iii-11ii−i−i-11i−i−ii1-11-1-1111-1-11-1−i−iii-1-111-11i−i1-1−i−iii-11ii−i−i-11i−i−ii1-11-1-1111-1-11-1−i−iii-1-111-11i−i1-1−i−iii-11ii−i−i-11i−i−ii1-1
χ1722222-2-2222000022220000-2-20000-2-200000000000022222-2-2222000022220000-2-20000-2-200000000000022222-2-2222000022220000-2-20000-2-2000000000000
χ1822222-2-22220000-2-2-2-20000-2-200002200000000000022222-2-22220000-2-2-2-20000-2-200002200000000000022222-2-22220000-2-2-2-20000-2-2000022000000000000
χ192222-122-1-1-1222200002222-1-1-1-1-1-1000000-1-1-1-100002222-122-1-1-1222200002222-1-1-1-1-1-1000000-1-1-1-100002222-122-1-1-1222200002222-1-1-1-1-1-1000000-1-1-1-10000
χ202222-122-1-1-122220000-2-2-2-2-1-1-1-1-1-1000000111100002222-122-1-1-122220000-2-2-2-2-1-1-1-1-1-1000000111100002222-122-1-1-122220000-2-2-2-2-1-1-1-1-1-100000011110000
χ212222-122-1-1-1-2-2-2-2000022-2-2-1-11111000000-1-11100002222-122-1-1-1-2-2-2-2000022-2-2-1-11111000000-1-11100002222-122-1-1-1-2-2-2-2000022-2-2-1-11111000000-1-1110000
χ222222-122-1-1-1-2-2-2-20000-2-222-1-1111100000011-1-100002222-122-1-1-1-2-2-2-20000-2-222-1-1111100000011-1-100002222-122-1-1-1-2-2-2-20000-2-222-1-1111100000011-1-10000
χ2322-2-2200-2-222−22−22i−2i2i−2i0000002−22−200i2−i2i2−i20000000022-2-2200-2-222−22−22i−2i2i−2i0000002−22−200i2−i2i2−i20000000022-2-2200-2-222−22−22i−2i2i−2i0000002−22−200i2−i2i2−i200000000
χ2422-2-2200-2-222−22−2−2i2i−2i2i0000002−22−200−i2i2−i2i20000000022-2-2200-2-222−22−2−2i2i−2i2i0000002−22−200−i2i2−i2i20000000022-2-2200-2-222−22−2−2i2i−2i2i0000002−22−200−i2i2−i2i200000000
χ2522-2-2200-2-22−22−222i−2i2i−2i000000−22−2200−i2i2−i2i20000000022-2-2200-2-22−22−222i−2i2i−2i000000−22−2200−i2i2−i2i20000000022-2-2200-2-22−22−222i−2i2i−2i000000−22−2200−i2i2−i2i200000000
χ2622-2-2200-2-22−22−22−2i2i−2i2i000000−22−2200i2−i2i2−i20000000022-2-2200-2-22−22−22−2i2i−2i2i000000−22−2200i2−i2i2−i20000000022-2-2200-2-22−22−22−2i2i−2i2i000000−22−2200i2−i2i2−i200000000
χ272-22-22002-2-2i2−i2−i2i22i−2i−2i2i000000i2−i2−i2i200−222−2000000002-22-22002-2-2i2−i2−i2i22i−2i−2i2i000000i2−i2−i2i200−222−2000000002-22-22002-2-2i2−i2−i2i22i−2i−2i2i000000i2−i2−i2i200−222−200000000
χ282-22-22002-2-2i2−i2−i2i2−2i2i2i−2i000000i2−i2−i2i2002−2−22000000002-22-22002-2-2i2−i2−i2i2−2i2i2i−2i000000i2−i2−i2i2002−2−22000000002-22-22002-2-2i2−i2−i2i2−2i2i2i−2i000000i2−i2−i2i2002−2−2200000000
χ292-22-22002-2-2−i2i2i2−i22i−2i−2i2i000000−i2i2i2−i2002−2−22000000002-22-22002-2-2−i2i2i2−i22i−2i−2i2i000000−i2i2i2−i2002−2−22000000002-22-22002-2-2−i2i2i2−i22i−2i−2i2i000000−i2i2i2−i2002−2−2200000000
χ302-22-22002-2-2−i2i2i2−i2−2i2i2i−2i000000−i2i2i2−i200−222−2000000002-22-22002-2-2−i2i2i2−i2−2i2i2i−2i000000−i2i2i2−i200−222−2000000002-22-22002-2-2−i2i2i2−i2−2i2i2i−2i000000−i2i2i2−i200−222−200000000
χ312-2-222-22-22-2000022-2-20000-220000-220000000000002-2-222-22-22-2000022-2-20000-220000-220000000000002-2-222-22-22-2000022-2-20000-220000-22000000000000
χ322-2-222-22-22-20000-2-2220000-2200002-20000000000002-2-222-22-22-20000-2-2220000-2200002-20000000000002-2-222-22-22-20000-2-2220000-2200002-2000000000000
χ332-2-22-12-21-112i2i−2i−2i00002-22i−2i-11−i−iii000000-11−ii00002-2-22-12-21-112i2i−2i−2i00002-22i−2i-11−i−iii000000-11−ii00002-2-22-12-21-112i2i−2i−2i00002-22i−2i-11−i−iii000000-11−ii0000
χ342-2-22-12-21-112i2i−2i−2i0000-22−2i2i-11−i−iii0000001-1i−i00002-2-22-12-21-112i2i−2i−2i0000-22−2i2i-11−i−iii0000001-1i−i00002-2-22-12-21-112i2i−2i−2i0000-22−2i2i-11−i−iii0000001-1i−i0000
χ352-2-22-12-21-11−2i−2i2i2i00002-2−2i2i-11ii−i−i000000-11i−i00002-2-22-12-21-11−2i−2i2i2i00002-2−2i2i-11ii−i−i000000-11i−i00002-2-22-12-21-11−2i−2i2i2i00002-2−2i2i-11ii−i−i000000-11i−i0000
χ362-2-22-12-21-11−2i−2i2i2i0000-222i−2i-11ii−i−i0000001-1−ii00002-2-22-12-21-11−2i−2i2i2i0000-222i−2i-11ii−i−i0000001-1−ii00002-2-22-12-21-11−2i−2i2i2i0000-222i−2i-11ii−i−i0000001-1−ii0000
χ374444-2-4-4-2-2-2000000000000220000000000000000004444-2-4-4-2-2-2000000000000220000000000000000004444-2-4-4-2-2-200000000000022000000000000000000
χ3844-4-4-20022-222−2222−220000000000−22−220000000000000044-4-4-20022-222−2222−220000000000−22−220000000000000044-4-4-20022-222−2222−220000000000−22−2200000000000000
χ3944-4-4-20022-2−2222−222200000000002−22−20000000000000044-4-4-20022-2−2222−222200000000002−22−20000000000000044-4-4-20022-2−2222−222200000000002−22−200000000000000
χ404-44-4-200-2222i2−2i2−2i22i20000000000−i2i2i2−i2000000000000004-44-4-200-2222i2−2i2−2i22i20000000000−i2i2i2−i2000000000000004-44-4-200-2222i2−2i2−2i22i20000000000−i2i2i2−i200000000000000
χ414-44-4-200-222−2i22i22i2−2i20000000000i2−i2−i2i2000000000000004-44-4-200-222−2i22i22i2−2i20000000000i2−i2−i2i2000000000000004-44-4-200-222−2i22i22i2−2i20000000000i2−i2−i2i200000000000000
χ424-4-44-2-442-220000000000002-20000000000000000004-4-44-2-442-220000000000002-20000000000000000004-4-44-2-442-220000000000002-2000000000000000000
χ43111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ44111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−1+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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ4511111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1−1+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+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−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−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+i321+i321+i32
χ4611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−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+i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ471111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ481111111111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1−1+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ491111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1−1+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+i321−i321−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+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−i321+i321+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−i321+i321+i32
χ501111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111−1+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−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−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
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χ541-1-1111-1-11-1ii−i−i-1-111-11−ii1-1ii−i−i-11−i−iii-11−iii−i1-1−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i321−i32−1+i32−ζ14ζ14−1+i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−ζ14−ζ14ζ14ζ141−i32−1+i32−ζ14ζ14ζ14−ζ14−1+i321−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i321+i32−1−i32−ζ22ζ22−1−i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−ζ22−ζ22ζ22ζ221+i32−1−i32−ζ22ζ22ζ22−ζ22−1−i321+i32
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χ6022222-2-22220000-2-2-2-20000-2-2000022000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300001−i31−i30000−1+i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300001+i31+i30000−1−i3−1−i3000000000000
χ612222-122-1-1-1222200002222-1-1-1-1-1-1000000-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i30000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i320000001−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i30000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i320000001+i321+i321+i321+i320000
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χ991-1-1111-1-11-1−i−iii-1-1111-1−ii1-1−i−iii-11ii−i−i1-1−iii−i-11−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22ζ22−ζ22−ζ22−1−i321+i32−ζ22ζ22ζ22−ζ221+i32−1−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14ζ14−ζ14−ζ14−1+i321−i32−ζ14ζ14ζ14−ζ141−i32−1+i32
χ1001-1-1111-1-11-1−i−iii-1-111-11i−i1-1−i−iii-11ii−i−i-11i−i−ii1-1−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i321+i32−1−i32ζ22−ζ22−1−i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32ζ22ζ22−ζ22−ζ221+i32−1−i32ζ22−ζ22−ζ22ζ22−1−i321+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i321−i32−1+i32ζ14−ζ14−1+i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32ζ14ζ14−ζ14−ζ141−i32−1+i32ζ14−ζ14−ζ14ζ14−1+i321−i32
χ10122222-2-2222000022220000-2-20000-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i30000−1−i3−1−i3−1−i3−1−i300001+i31+i300001+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i30000−1+i3−1+i3−1+i3−1+i300001−i31−i300001−i31−i3000000000000
χ10222222-2-22220000-2-2-2-20000-2-2000022000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300001+i31+i30000−1−i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300001−i31−i30000−1+i3−1+i3000000000000
χ1032222-122-1-1-1222200002222-1-1-1-1-1-1000000-1-1-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i30000−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i320000001+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i30000−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i320000001−i321−i321−i321−i320000
χ1042222-122-1-1-122220000-2-2-2-2-1-1-1-1-1-100000011110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32000000−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32000000−1+i32−1+i32−1+i32−1+i320000
χ1052222-122-1-1-1-2-2-2-2000022-2-2-1-11111000000-1-1110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i30000−1−i3−1−i31+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i30000−1+i3−1+i31−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i32−1+i32−1+i320000
χ1062222-122-1-1-1-2-2-2-20000-2-222-1-1111100000011-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i31+i300001+i31+i3−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i31−i300001−i31−i3−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i321−i321−i320000
χ10722-2-2200-2-222−22−22i−2i2i−2i0000002−22−200i2−i2i2−i200000000−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i3−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ132ζ22−2ζ222ζ22−2ζ22000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i3ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ232ζ14−2ζ142ζ14−2ζ14000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000
χ10822-2-2200-2-222−22−2−2i2i−2i2i0000002−22−200−i2i2−i2i200000000−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i3−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−2ζ222ζ22−2ζ222ζ22000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i3ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−2ζ142ζ14−2ζ142ζ14000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000
χ10922-2-2200-2-22−22−222i−2i2i−2i000000−22−2200−i2i2−i2i200000000−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i3ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ132ζ22−2ζ222ζ22−2ζ22000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i3−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ232ζ14−2ζ142ζ14−2ζ14000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ2300000000
χ11022-2-2200-2-22−22−22−2i2i−2i2i000000−22−2200i2−i2i2−i200000000−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i3ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−2ζ222ζ22−2ζ222ζ22000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ1300000000−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i3−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−2ζ142ζ14−2ζ142ζ14000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ2300000000
χ1112-22-22002-2-2i2−i2−i2i22i−2i−2i2i000000i2−i2−i2i200−222−200000000−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i3−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ132ζ22−2ζ22−2ζ222ζ22000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i3−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ232ζ14−2ζ14−2ζ142ζ14000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ1122-22-22002-2-2i2−i2−i2i2−2i2i2i−2i000000i2−i2−i2i2002−2−2200000000−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i3−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−2ζ222ζ222ζ22−2ζ22000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i3−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−2ζ142ζ142ζ14−2ζ14000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ1132-22-22002-2-2−i2i2i2−i22i−2i−2i2i000000−i2i2i2−i2002−2−2200000000−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i3ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ132ζ22−2ζ22−2ζ222ζ22000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i3ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ232ζ14−2ζ14−2ζ142ζ14000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ1142-22-22002-2-2−i2i2i2−i2−2i2i2i−2i000000−i2i2i2−i200−222−200000000−1−i31+i3−1−i31+i3−1−i300−1−i31+i31+i3ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−2ζ222ζ222ζ22−2ζ22000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i3−1+i31−i3−1+i300−1+i31−i31−i3ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23−2ζ142ζ142ζ14−2ζ14000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ1152-2-222-22-22-2000022-2-20000-220000-22000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i300001+i3−1−i300001+i3−1−i3000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i300001−i3−1+i300001−i3−1+i3000000000000
χ1162-2-222-22-22-20000-2-2220000-2200002-2000000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i300001+i31+i3−1−i3−1−i300001+i3−1−i30000−1−i31+i3000000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i300001−i31−i3−1+i3−1+i300001−i3−1+i30000−1+i31−i3000000000000
χ1172-2-22-12-21-112i2i−2i−2i00002-22i−2i-11−i−iii000000-11−ii0000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i321+i32−1−i322ζ222ζ22−2ζ22−2ζ220000−1−i31+i32ζ22−2ζ221+i32−1−i32−ζ22−ζ22ζ22ζ220000001+i32−1−i32−ζ22ζ220000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i321−i32−1+i322ζ142ζ14−2ζ14−2ζ140000−1+i31−i32ζ14−2ζ141−i32−1+i32−ζ14−ζ14ζ14ζ140000001−i32−1+i32−ζ14ζ140000
χ1182-2-22-12-21-112i2i−2i−2i0000-22−2i2i-11−i−iii0000001-1i−i0000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i321+i32−1−i322ζ222ζ22−2ζ22−2ζ2200001+i3−1−i3−2ζ222ζ221+i32−1−i32−ζ22−ζ22ζ22ζ22000000−1−i321+i32ζ22−ζ220000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i321−i32−1+i322ζ142ζ14−2ζ14−2ζ1400001−i3−1+i3−2ζ142ζ141−i32−1+i32−ζ14−ζ14ζ14ζ14000000−1+i321−i32ζ14−ζ140000
χ1192-2-22-12-21-11−2i−2i2i2i00002-2−2i2i-11ii−i−i000000-11i−i0000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i321+i32−1−i32−2ζ22−2ζ222ζ222ζ220000−1−i31+i3−2ζ222ζ221+i32−1−i32ζ22ζ22−ζ22−ζ220000001+i32−1−i32ζ22−ζ220000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i321−i32−1+i32−2ζ14−2ζ142ζ142ζ140000−1+i31−i3−2ζ142ζ141−i32−1+i32ζ14ζ14−ζ14−ζ140000001−i32−1+i32ζ14−ζ140000
χ1202-2-22-12-21-11−2i−2i2i2i0000-222i−2i-11ii−i−i0000001-1−ii0000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i321+i32−1−i32−2ζ22−2ζ222ζ222ζ2200001+i3−1−i32ζ22−2ζ221+i32−1−i32ζ22ζ22−ζ22−ζ22000000−1−i321+i32−ζ22ζ220000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i321−i32−1+i32−2ζ14−2ζ142ζ142ζ1400001−i3−1+i32ζ14−2ζ141−i32−1+i32ζ14ζ14−ζ14−ζ14000000−1+i321−i32−ζ14ζ140000
χ1214444-2-4-4-2-2-200000000000022000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i31+i31+i3000000000000−1−i3−1−i3000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i31−i31−i3000000000000−1+i3−1+i3000000000000000000
χ12244-4-4-20022-222−2222−220000000000−22−2200000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i3−1−i31+i3−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ130000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i3−1+i31−i32ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ230000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000000000
χ12344-4-4-20022-2−2222−222200000000002−22−200000000000000−2−2i3−2−2i32+2i32+2i31+i300−1−i3−1−i31+i32ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ130000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000000000−2+2i3−2+2i32−2i32−2i31−i300−1+i3−1+i31−i3−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ230000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000000000
χ1244-44-4-200-2222i2−2i2−2i22i20000000000−i2i2i2−i200000000000000−2−2i32+2i3−2−2i32+2i31+i3001+i3−1−i3−1−i3−2ζ7−2ζ132ζ7+2ζ132ζ7+2ζ13−2ζ7−2ζ130000000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000000000−2+2i32−2i3−2+2i32−2i31−i3001−i3−1+i3−1+i3−2ζ5−2ζ232ζ5+2ζ232ζ5+2ζ23−2ζ5−2ζ230000000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300000000000000
χ1254-44-4-200-222−2i22i22i2−2i20000000000i2−i2−i2i200000000000000−2−2i32+2i3−2−2i32+2i31+i3001+i3−1−i3−1−i32ζ7+2ζ13−2ζ7−2ζ13−2ζ7−2ζ132ζ7+2ζ130000000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300000000000000−2+2i32−2i3−2+2i32−2i31−i3001−i3−1+i3−1+i32ζ5+2ζ23−2ζ5−2ζ23−2ζ5−2ζ232ζ5+2ζ230000000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300000000000000
χ1264-4-44-2-442-220000000000002-2000000000000000000−2−2i32+2i32+2i3−2−2i31+i32+2i3−2−2i3−1−i31+i3−1−i3000000000000−1−i31+i3000000000000000000−2+2i32−2i32−2i3−2+2i31−i32−2i3−2+2i3−1+i31−i3−1+i3000000000000−1+i31−i3000000000000000000

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