Finite Group Databasebeta

← Group #13173416

Character table — Group #13173416

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size112244444444444499181827272727112244444444444499181827272727224488888888888818183636545454542244888888888888181836365454545422448888888888881818363654545454
order123633333366666644121288882266666666666666441212888822666666666666664412128888226666666666666644121288884412121212121212121212121212124412128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-1
χ31111111111111111-1-1-1-1ii−i−i1111111111111111-1-1-1-1ii−i−i1111111111111111-1-1-1-1ii−i−i1111111111111111-1-1-1-1ii−i−i1111111111111111-1-1-1-1ii−i−i
χ41111111111111111-1-1-1-1−i−iii1111111111111111-1-1-1-1−i−iii1111111111111111-1-1-1-1−i−iii1111111111111111-1-1-1-1−i−iii1111111111111111-1-1-1-1−i−iii
χ51-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ61-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ71-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ81-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ922-1-122-1-1-1-122-1-1-1-122-1-1000022-1-122-1-1-1-122-1-1-1-122-1-1000022-1-122-1-1-1-122-1-1-1-122-1-1000022-1-122-1-1-1-122-1-1-1-122-1-1000022-1-122-1-1-1-122-1-1-1-122-1-10000
χ1022-1-122-1-1-1-122-1-1-1-1-2-211000022-1-122-1-1-1-122-1-1-1-1-2-211000022-1-122-1-1-1-122-1-1-1-1-2-211000022-1-122-1-1-1-122-1-1-1-1-2-211000022-1-122-1-1-1-122-1-1-1-1-2-2110000
χ112-2-1122-1-1-1-1-2-211112i−2i−ii00002-2-1122-1-1-1-1-2-211112i−2i−ii00002-2-1122-1-1-1-1-2-211112i−2i−ii00002-2-1122-1-1-1-1-2-211112i−2i−ii00002-2-1122-1-1-1-1-2-211112i−2i−ii0000
χ122-2-1122-1-1-1-1-2-21111−2i2ii−i00002-2-1122-1-1-1-1-2-21111−2i2ii−i00002-2-1122-1-1-1-1-2-21111−2i2ii−i00002-2-1122-1-1-1-1-2-21111−2i2ii−i00002-2-1122-1-1-1-1-2-21111−2i2ii−i0000
χ1344441-211-2-21-211-2-20000000044441-211-2-21-211-2-20000000044441-211-2-21-211-2-20000000044441-211-2-21-211-2-20000000044441-211-2-21-211-2-200000000
χ144444-21-2-211-21-2-211000000004444-21-2-211-21-2-211000000004444-21-2-211-21-2-211000000004444-21-2-211-21-2-211000000004444-21-2-211-21-2-21100000000
χ1544-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000044-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000044-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000044-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000044-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i321100000000
χ1644-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000044-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000044-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000044-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000044-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i321100000000
χ1744-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i320000000044-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i320000000044-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i320000000044-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i320000000044-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3200000000
χ1844-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i320000000044-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i320000000044-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i320000000044-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i320000000044-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3200000000
χ194-44-41-211-2-2-12-1-122000000004-44-41-211-2-2-12-1-122000000004-44-41-211-2-2-12-1-122000000004-44-41-211-2-2-12-1-122000000004-44-41-211-2-2-12-1-12200000000
χ204-44-4-21-2-2112-122-1-1000000004-44-4-21-2-2112-122-1-1000000004-44-4-21-2-2112-122-1-1000000004-44-4-21-2-2112-122-1-1000000004-44-4-21-2-2112-122-1-100000000
χ214-4-221-2−1−3i32−1+3i3211-121+3i321−3i32-1-1000000004-4-221-2−1−3i32−1+3i3211-121+3i321−3i32-1-1000000004-4-221-2−1−3i32−1+3i3211-121+3i321−3i32-1-1000000004-4-221-2−1−3i32−1+3i3211-121+3i321−3i32-1-1000000004-4-221-2−1−3i32−1+3i3211-121+3i321−3i32-1-100000000
χ224-4-221-2−1+3i32−1−3i3211-121−3i321+3i32-1-1000000004-4-221-2−1+3i32−1−3i3211-121−3i321+3i32-1-1000000004-4-221-2−1+3i32−1−3i3211-121−3i321+3i32-1-1000000004-4-221-2−1+3i32−1−3i3211-121−3i321+3i32-1-1000000004-4-221-2−1+3i32−1−3i3211-121−3i321+3i32-1-100000000
χ234-4-22-2111−1−3i32−1+3i322-1-1-11+3i321−3i32000000004-4-22-2111−1−3i32−1+3i322-1-1-11+3i321−3i32000000004-4-22-2111−1−3i32−1+3i322-1-1-11+3i321−3i32000000004-4-22-2111−1−3i32−1+3i322-1-1-11+3i321−3i32000000004-4-22-2111−1−3i32−1+3i322-1-1-11+3i321−3i3200000000
χ244-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i32000000004-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i32000000004-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i32000000004-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i32000000004-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i3200000000
χ25111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2611111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ271111111111111111-1-1-1-1ii−i−i1111111111111111-1-1-1-1ii−i−i1111111111111111-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii
χ281111111111111111-1-1-1-1−i−iii1111111111111111-1-1-1-1−i−iii1111111111111111-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i
χ291-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11-11-1-1-1-1-1-1111111−ii−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11-11-1-1-1-1-1-1111111−ii−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ301-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11-11-1-1-1-1-1-1111111−ii−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11-11-1-1-1-1-1-1111111−ii−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ311-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11-11-1-1-1-1-1-1111111i−ii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11-11-1-1-1-1-1-1111111i−ii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ321-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11-11-1-1-1-1-1-1111111i−ii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11-11-1-1-1-1-1-1111111i−ii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ3322-1-122-1-1-1-122-1-1-1-122-1-1000022-1-122-1-1-1-122-1-1-1-122-1-1000022-1-122-1-1-1-122-1-1-1-122-1-10000-2-211-2-21111-2-21111-2-2110000-2-211-2-21111-2-21111-2-2110000
χ3422-1-122-1-1-1-122-1-1-1-1-2-211000022-1-122-1-1-1-122-1-1-1-1-2-211000022-1-122-1-1-1-122-1-1-1-1-2-2110000-2-211-2-21111-2-2111122-1-10000-2-211-2-21111-2-2111122-1-10000
χ352-2-1122-1-1-1-1-2-211112i−2i−ii00002-2-1122-1-1-1-1-2-211112i−2i−ii00002-2-1122-1-1-1-1-2-211112i−2i−ii0000-221-1-2-2111122-1-1-1-1−2i2ii−i0000-221-1-2-2111122-1-1-1-1−2i2ii−i0000
χ362-2-1122-1-1-1-1-2-21111−2i2ii−i00002-2-1122-1-1-1-1-2-21111−2i2ii−i00002-2-1122-1-1-1-1-2-21111−2i2ii−i0000-221-1-2-2111122-1-1-1-12i−2i−ii0000-221-1-2-2111122-1-1-1-12i−2i−ii0000
χ3744441-211-2-21-211-2-20000000044441-211-2-21-211-2-20000000044441-211-2-21-211-2-200000000-4-4-4-4-12-1-122-12-1-12200000000-4-4-4-4-12-1-122-12-1-12200000000
χ384444-21-2-211-21-2-211000000004444-21-2-211-21-2-211000000004444-21-2-211-21-2-21100000000-4-4-4-42-122-1-12-122-1-100000000-4-4-4-42-122-1-12-122-1-100000000
χ3944-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000044-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000044-2-21-2−1−3i32−1+3i32111-2−1−3i32−1+3i321100000000-4-422-121+3i321−3i32-1-1-121+3i321−3i32-1-100000000-4-422-121+3i321−3i32-1-1-121+3i321−3i32-1-100000000
χ4044-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000044-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000044-2-21-2−1+3i32−1−3i32111-2−1+3i32−1−3i321100000000-4-422-121−3i321+3i32-1-1-121−3i321+3i32-1-100000000-4-422-121−3i321+3i32-1-1-121−3i321+3i32-1-100000000
χ4144-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i320000000044-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i320000000044-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i3200000000-4-4222-1-1-11+3i321−3i322-1-1-11+3i321−3i3200000000-4-4222-1-1-11+3i321−3i322-1-1-11+3i321−3i3200000000
χ4244-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i320000000044-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i320000000044-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i3200000000-4-4222-1-1-11−3i321+3i322-1-1-11−3i321+3i3200000000-4-4222-1-1-11−3i321+3i322-1-1-11−3i321+3i3200000000
χ434-44-41-211-2-2-12-1-122000000004-44-41-211-2-2-12-1-122000000004-44-41-211-2-2-12-1-12200000000-44-44-12-1-1221-211-2-200000000-44-44-12-1-1221-211-2-200000000
χ444-44-4-21-2-2112-122-1-1000000004-44-4-21-2-2112-122-1-1000000004-44-4-21-2-2112-122-1-100000000-44-442-122-1-1-21-2-21100000000-44-442-122-1-1-21-2-21100000000
χ454-4-221-2−1−3i32−1+3i3211-121+3i321−3i32-1-1000000004-4-221-2−1−3i32−1+3i3211-121+3i321−3i32-1-1000000004-4-221-2−1−3i32−1+3i3211-121+3i321−3i32-1-100000000-442-2-121+3i321−3i32-1-11-2−1−3i32−1+3i321100000000-442-2-121+3i321−3i32-1-11-2−1−3i32−1+3i321100000000
χ464-4-221-2−1+3i32−1−3i3211-121−3i321+3i32-1-1000000004-4-221-2−1+3i32−1−3i3211-121−3i321+3i32-1-1000000004-4-221-2−1+3i32−1−3i3211-121−3i321+3i32-1-100000000-442-2-121−3i321+3i32-1-11-2−1+3i32−1−3i321100000000-442-2-121−3i321+3i32-1-11-2−1+3i32−1−3i321100000000
χ474-4-22-2111−1−3i32−1+3i322-1-1-11+3i321−3i32000000004-4-22-2111−1−3i32−1+3i322-1-1-11+3i321−3i32000000004-4-22-2111−1−3i32−1+3i322-1-1-11+3i321−3i3200000000-442-22-1-1-11+3i321−3i32-2111−1−3i32−1+3i3200000000-442-22-1-1-11+3i321−3i32-2111−1−3i32−1+3i3200000000
χ484-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i32000000004-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i32000000004-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i3200000000-442-22-1-1-11−3i321+3i32-2111−1+3i32−1−3i3200000000-442-22-1-1-11−3i321+3i32-2111−1+3i32−1−3i3200000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5011111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1ii−i−i1111111111111111-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii1111111111111111-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii
χ521111111111111111-1-1-1-1−i−iii1111111111111111-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i1111111111111111-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i
χ531-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11-11-1-1-1-1-1-1111111−ii−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11-11-1-1-1-1-1-1111111−ii−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ541-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11-11-1-1-1-1-1-1111111−ii−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11-11-1-1-1-1-1-1111111−ii−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ551-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11-11-1-1-1-1-1-1111111i−ii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11-11-1-1-1-1-1-1111111i−ii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ561-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11-11-1-1-1-1-1-1111111i−ii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11-11-1-1-1-1-1-1111111i−ii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ5722-1-122-1-1-1-122-1-1-1-122-1-1000022-1-122-1-1-1-122-1-1-1-122-1-10000-2-211-2-21111-2-21111-2-211000022-1-122-1-1-1-122-1-1-1-122-1-10000-2-211-2-21111-2-21111-2-2110000
χ5822-1-122-1-1-1-122-1-1-1-1-2-211000022-1-122-1-1-1-122-1-1-1-1-2-2110000-2-211-2-21111-2-2111122-1-1000022-1-122-1-1-1-122-1-1-1-1-2-2110000-2-211-2-21111-2-2111122-1-10000
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χ724-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i32000000004-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i3200000000-442-22-1-1-11−3i321+3i32-2111−1+3i32−1−3i32000000004-4-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i3200000000-442-22-1-1-11−3i321+3i32-2111−1+3i32−1−3i3200000000
χ73111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111
χ7411111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ751111111111111111-1-1-1-1ii−i−i1111111111111111-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii1111111111111111-1-1-1-1ii−i−i
χ761111111111111111-1-1-1-1−i−iii1111111111111111-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i1111111111111111-1-1-1-1−i−iii
χ771-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11-11-1-1-1-1-1-1111111−ii−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11-11-1-1-1-1-1-1111111−ii−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1111111-1-1-1-1-1-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ781-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-11-11-1-1-1-1-1-1111111−ii−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-11-11-1-1-1-1-1-1111111−ii−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-11-1111111-1-1-1-1-1-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ791-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11-11-1-1-1-1-1-1111111i−ii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11-11-1-1-1-1-1-1111111i−ii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1111111-1-1-1-1-1-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ801-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-11-11-1-1-1-1-1-1111111i−ii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-11-11-1-1-1-1-1-1111111i−ii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-11-1111111-1-1-1-1-1-1−ii−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ8122-1-122-1-1-1-122-1-1-1-122-1-1000022-1-122-1-1-1-122-1-1-1-122-1-10000-2-211-2-21111-2-21111-2-2110000-2-211-2-21111-2-21111-2-211000022-1-122-1-1-1-122-1-1-1-122-1-10000
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χ10988882-422-4-42-422-4-400000000-8-8-8-8-24-2-244-24-2-24400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108888-42-4-422-42-4-42200000000-8-8-8-84-244-2-24-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-4-42-4−1−3i3−1+3i3222-4−1−3i3−1+3i32200000000-8-844-241+3i31−3i3-2-2-241+3i31−3i3-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-4-42-4−1+3i3−1−3i3222-4−1+3i3−1−3i32200000000-8-844-241−3i31+3i3-2-2-241−3i31+3i3-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-4-4-4222−1−3i3−1+3i3-4222−1−3i3−1+3i300000000-8-8444-2-2-21+3i31−3i34-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-4-4-4222−1+3i3−1−3i3-4222−1+3i3−1−3i300000000-8-8444-2-2-21−3i31+3i34-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-82-422-4-4-24-2-24400000000-88-88-24-2-2442-422-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-42-4-4224-244-2-200000000-88-884-244-2-2-42-4-42200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-442-4−1−3i3−1+3i322-241+3i31−3i3-2-200000000-884-4-241+3i31−3i3-2-22-4−1−3i3−1+3i32200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-442-4−1+3i3−1−3i322-241−3i31+3i3-2-200000000-884-4-241−3i31+3i3-2-22-4−1+3i3−1−3i32200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-44-4222−1−3i3−1+3i34-2-2-21+3i31−3i300000000-884-44-2-2-21+3i31−3i3-4222−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-44-4222−1+3i3−1−3i34-2-2-21−3i31+3i300000000-884-44-2-2-21−3i31+3i3-4222−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000

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