Finite Group Databasebeta

← Group #11777236

Character table — Group #11777236

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222444433444466666612121212121212123444466612121212121212121212121288888888888888881212121212121212121212121212121212121212888888884444888824242424242424242424242424242424888812121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−i11-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−iii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii11-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i11-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii-1-111ii−i−i−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiii11-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i-1-111−i−iiiii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−i-1-111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i-1-111−i−iii1111-1-1-1-1iiii−i−i−i−iii−i−i-1-111−i−iii−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii-1-111-1-11111-1-1-1-1-1-11111−i−i−i−iiiii-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii−i−iii-1-111ii−i−iii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i-1-111-1-11111-1-1-1-1-1-11111−i−i−i−iiiii11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1−i−iiiii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiii-1-111-1-11111-1-1-1-1-1-11111iiii−i−i−i−i11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1ii−i−i−i−iii
χ171-11-1i−ii−i111-1i−i-1-11-11-1iii−i−i−ii−i11-1i−i-11-11-1i−iii−i−ii−i1-111-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i1-1i−i1-1i−i11-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−iζ−ζζ3−ζ311-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ31-1i−iζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ181-11-1i−ii−i111-1i−i-1-11-11-1iii−i−i−ii−i11-1i−i-11-11-1i−iii−i−ii−i1-111-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i1-1i−i1-1i−i11-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i−ζζ−ζ3ζ311-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ31-1i−i−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ191-11-1i−ii−i111-1i−i-1-11-11-1iii−i−i−ii−i11-1i−i-11-11-1i−iii−i−ii−i1-1-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i1-1i−i1-1i−i11-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−iiζ−ζζ3−ζ3-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3-11−iiζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ201-11-1i−ii−i111-1i−i-1-11-11-1iii−i−i−ii−i11-1i−i-11-11-1i−iii−i−ii−i1-1-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i1-1i−i1-1i−i11-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii−ζζ−ζ3ζ3-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3-11−ii−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ211-11-1i−ii−i111-1i−i-1-11-11-1iii−i−i−ii−i1-11−ii-11-11-1i−iii−i−ii−i1-111-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii-11−ii1-1i−i-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii−ζζ−ζ3ζ311-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3-11−ii−ζζ−ζ3ζ3−ζζ−ζ3ζ3
χ221-11-1i−ii−i111-1i−i-1-11-11-1iii−i−i−ii−i1-11−ii-11-11-1i−iii−i−ii−i1-111-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−ii-11−ii1-1i−i-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−iiζ−ζζ3−ζ311-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3-11−iiζ−ζζ3−ζ3ζ−ζζ3−ζ3
χ231-11-1i−ii−i111-1i−i-1-11-11-1iii−i−i−ii−i1-11−ii-11-11-1i−iii−i−ii−i1-1-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii-11−ii1-1i−i-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i−ζζ−ζ3ζ3-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ31-1i−i−ζζ−ζ3ζ3ζ−ζζ3−ζ3
χ241-11-1i−ii−i111-1i−i-1-11-11-1iii−i−i−ii−i1-11−ii-11-11-1i−iii−i−ii−i1-1-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−ii-11−ii1-1i−i-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−iζ−ζζ3−ζ3-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ31-1i−iζ−ζζ3−ζ3−ζζ−ζ3ζ3
χ251-11-1−ii−ii111-1−ii-1-11-11-1−i−i−iiii−ii11-1−ii-11-11-1−ii−i−iii−ii1-111-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii1-1−ii1-1−ii11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−iiζ3−ζ3ζ−ζ11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ1-1−iiζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ261-11-1−ii−ii111-1−ii-1-11-11-1−i−i−iiii−ii11-1−ii-11-11-1−ii−i−iii−ii1-111-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii1-1−ii1-1−ii11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii−ζ3ζ3−ζζ11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ1-1−ii−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ271-11-1−ii−ii111-1−ii-1-11-11-1−i−i−iiii−ii11-1−ii-11-11-1−ii−i−iii−ii1-1-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii1-1−ii1-1−ii11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−iζ3−ζ3ζ−ζ-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ-11i−iζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ281-11-1−ii−ii111-1−ii-1-11-11-1−i−i−iiii−ii11-1−ii-11-11-1−ii−i−iii−ii1-1-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii1-1−ii1-1−ii11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i−ζ3ζ3−ζζ-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ-11i−i−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ291-11-1−ii−ii111-1−ii-1-11-11-1−i−i−iiii−ii1-11i−i-11-11-1−ii−i−iii−ii1-111-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i-11i−i1-1−ii-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i−ζ3ζ3−ζζ11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ-11i−i−ζ3ζ3−ζζ−ζ3ζ3−ζζ
χ301-11-1−ii−ii111-1−ii-1-11-11-1−i−i−iiii−ii1-11i−i-11-11-1−ii−i−iii−ii1-111-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−i-11i−i1-1−ii-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−iζ3−ζ3ζ−ζ11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ-11i−iζ3−ζ3ζ−ζζ3−ζ3ζ−ζ
χ311-11-1−ii−ii111-1−ii-1-11-11-1−i−i−iiii−ii1-11i−i-11-11-1−ii−i−iii−ii1-1-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i-11i−i1-1−ii-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii−ζ3ζ3−ζζ-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ1-1−ii−ζ3ζ3−ζζζ3−ζ3ζ−ζ
χ321-11-1−ii−ii111-1−ii-1-11-11-1−i−i−iiii−ii1-11i−i-11-11-1−ii−i−iii−ii1-1-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−i-11i−i1-1−ii-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−iiζ3−ζ3ζ−ζ-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ1-1−iiζ3−ζ3ζ−ζ−ζ3ζ3−ζζ
χ332222222222-2-2-2-22222222222222220000222-2-2-2-22222-2-2-2-2000000000000000000000000-2-2-2-20000000022222222000000000000000000000000-2-2-2-2000000000000
χ342222222222-2-2-2-22222222222222220000222-2-2-2-22222-2-2-2-2000000000000000000000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ35222222222-122222-122-1-12-1-12-1-122-12222-1-1-122-1-1-1-1-1-122-1-122222222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ36222222222-122222-122-1-12-1-12-1-122-12222-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000011111111000000000000111100000000
χ37222222222-122222-122-1-12-1-12-1-122-1-2-2-2-2-1-1-122-1-1-1-1-1-122-1-12222222200000000-2-2-2-21111-1-1-1-11111111100000000-2-2-2-20000-1-1-1-1-1-1-1-1000000000000111100000000
χ38222222222-122222-122-1-12-1-12-1-122-1-2-2-2-2-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-200000000-2-2-2-21111-1-1-1-111111111000000002222000011111111000000000000-1-1-1-100000000
χ3922222222-122222-12-1-122-122-122-1-1-12222-1-1-1-1-122-1-1-1-1-1-1220000000022222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ4022222222-122222-12-1-122-122-122-1-1-12222-1-1-1-1-122-1-1-1-1-1-12200000000-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000111111110000000011110000
χ4122222222-122222-12-1-122-122-122-1-1-1-2-2-2-2-1-1-1-1-122-1-1-1-1-1-12200000000222222221111-2-2-2-2-1-1-1-111111111000000000000-2-2-2-200000000-1-1-1-1-1-1-1-10000000011110000
χ4222222222-122222-12-1-122-122-122-1-1-1-2-2-2-2-1-1-1-1-122-1-1-1-1-1-12200000000-2-2-2-2-2-2-2-21111-2-2-2-2-1-1-1-1111111110000000000002222000000001111111100000000-1-1-1-10000
χ432222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-220000222-2-222-2-2-2-222-2-2000000000000000000000000-2-222000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i000000000000
χ442222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-220000222-2-222-2-2-2-222-2-2000000000000000000000000-2-22200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i000000000000
χ452222-2-2-2-22-122-2-22-122-1-1-211-211-2-2-122-2-2-1-1-122111111-2-2-1-12222-2-2-2-20000000022-2-2-1-111-1-111-1-1-1-111110000000022-2-20000-1-1-1-11111000000000000-1-11100000000
χ462222-2-2-2-22-122-2-22-122-1-1-211-211-2-2-122-2-2-1-1-122111111-2-2-1-1-2-2-2-222220000000022-2-2-1-111-1-111-1-1-1-1111100000000-2-22200001111-1-1-1-100000000000011-1-100000000
χ472222-2-2-2-22-122-2-22-122-1-1-211-211-2-2-1-2-222-1-1-122111111-2-2-1-12222-2-2-2-200000000-2-22211-1-1-1-1111111-1-1-1-100000000-2-2220000-1-1-1-1111100000000000011-1-100000000
χ482222-2-2-2-22-122-2-22-122-1-1-211-211-2-2-1-2-222-1-1-122111111-2-2-1-1-2-2-2-2222200000000-2-22211-1-1-1-1111111-1-1-1-10000000022-2-200001111-1-1-1-1000000000000-1-11100000000
χ492222-2-2-2-2-1222-2-2-12-1-1221-2-21-2-211-122-2-2-1-1-1-1-1-2-211111122000000002i2i2i2i−2i−2i−2i−2i-1-11122-2-2-1-111-1-1-1-111110000000000002i2i−2i−2i00000000−i−i−i−iiiii00000000−i−iii0000
χ502222-2-2-2-2-1222-2-2-12-1-1221-2-21-2-211-122-2-2-1-1-1-1-1-2-21111112200000000−2i−2i−2i−2i2i2i2i2i-1-11122-2-2-1-111-1-1-1-11111000000000000−2i−2i2i2i00000000iiii−i−i−i−i00000000ii−i−i0000
χ512222-2-2-2-2-1222-2-2-12-1-1221-2-21-2-211-1-2-222-1-1-1-1-1-2-211111122000000002i2i2i2i−2i−2i−2i−2i11-1-1-2-222-1-1111111-1-1-1-1000000000000−2i−2i2i2i00000000−i−i−i−iiiii00000000ii−i−i0000
χ522222-2-2-2-2-1222-2-2-12-1-1221-2-21-2-211-1-2-222-1-1-1-1-1-2-21111112200000000−2i−2i−2i−2i2i2i2i2i11-1-1-2-222-1-1111111-1-1-1-10000000000002i2i−2i−2i00000000iiii−i−i−i−i00000000−i−iii0000
χ5322-2-222-2-222000022-2-2-2-222-222-2-2-2200002-2-200002-22-200002−22−22−22−22−22−22−22−2000000000000000000002-22-22-22-2000000002−22−22−22−22−22−22−22−20000000000000000
χ5422-2-222-2-222000022-2-2-2-222-222-2-2-2200002-2-200002-22-200002−22−22−22−2−22−22−22−2200000000000000000000-22-22-22-22000000002−22−22−22−2−22−22−22−220000000000000000
χ5522-2-222-2-222000022-2-2-2-222-222-2-2-2200002-2-200002-22-20000−22−22−22−222−22−22−22−200000000000000000000-22-22-22-2200000000−22−22−22−222−22−22−22−20000000000000000
χ5622-2-222-2-222000022-2-2-2-222-222-2-2-2200002-2-200002-22-20000−22−22−22−22−22−22−22−22000000000000000000002-22-22-22-200000000−22−22−22−22−22−22−22−220000000000000000
χ5722-2-2-2-22222000022-2-2-2-2-2-22-2-2222200002-2-20000-22-2200002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000000000002i−2i2i−2i−2i2i−2i2i000000002−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ5822-2-2-2-22222000022-2-2-2-2-2-22-2-2222200002-2-20000-22-2200002−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000000000000000−2i2i−2i2i2i−2i2i−2i000000002−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000
χ5922-2-2-2-22222000022-2-2-2-2-2-22-2-2222200002-2-20000-22-220000−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000000000000000−2i2i−2i2i2i−2i2i−2i00000000−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ6022-2-2-2-22222000022-2-2-2-2-2-22-2-2222200002-2-20000-22-220000−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000000000002i−2i2i−2i−2i2i−2i2i00000000−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000
χ612-22-22i−2i2i−2i22-22−2i2i-2-22-22-22i2i2i−2i−2i−2i2i−2i20000-22-2-22−2i2i2i2i−2i−2i−2i2i-22000000000000000000000000-22−2i2i000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000000000000000000000000−2ζ2ζ−2ζ32ζ3000000000000
χ622-22-22i−2i2i−2i22-22−2i2i-2-22-22-22i2i2i−2i−2i−2i2i−2i20000-22-2-22−2i2i2i2i−2i−2i−2i2i-22000000000000000000000000-22−2i2i00000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ30000000000000000000000002ζ−2ζ2ζ3−2ζ3000000000000
χ632-22-22i−2i2i−2i2-12-22i−2i-212-2-112i−i−i−2iii2i−2i-12-22i−2i1-112-2−ii−i−iii2i−2i-1122-2-22i2i−2i−2i000000002-22i−2i-11−ii-11−ii-1-111−i−iii000000002-22i−2i0000-1-111−i−iii000000000000-11−ii00000000
χ642-22-22i−2i2i−2i2-12-22i−2i-212-2-112i−i−i−2iii2i−2i-12-22i−2i1-112-2−ii−i−iii2i−2i-11-2-222−2i−2i2i2i000000002-22i−2i-11−ii-11−ii-1-111−i−iii00000000-22−2i2i000011-1-1ii−i−i0000000000001-1i−i00000000
χ652-22-22i−2i2i−2i2-12-22i−2i-212-2-112i−i−i−2iii2i−2i-1-22−2i2i1-112-2−ii−i−iii2i−2i-1122-2-22i2i−2i−2i00000000-22−2i2i1-1i−i-11−ii11-1-1ii−i−i00000000-22−2i2i0000-1-111−i−iii0000000000001-1i−i00000000
χ662-22-22i−2i2i−2i2-12-22i−2i-212-2-112i−i−i−2iii2i−2i-1-22−2i2i1-112-2−ii−i−iii2i−2i-11-2-222−2i−2i2i2i00000000-22−2i2i1-1i−i-11−ii11-1-1ii−i−i000000002-22i−2i000011-1-1ii−i−i000000000000-11−ii00000000
χ672-22-22i−2i2i−2i-122-22i−2i1-2-112-2−i2i2ii−2i−2i−ii-12-22i−2i1-11-112i−2i−i−iii−ii2-2000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3-11−ii2-22i−2i-11−ii-1-111−i−iii0000000000002ζ−2ζ2ζ3−2ζ300000000−ζ−ζζζ−ζ3−ζ3ζ3ζ300000000−ζζ−ζ3ζ30000
χ682-22-22i−2i2i−2i-122-22i−2i1-2-112-2−i2i2ii−2i−2i−ii-12-22i−2i1-11-112i−2i−i−iii−ii2-200000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3-11−ii2-22i−2i-11−ii-1-111−i−iii000000000000−2ζ2ζ−2ζ32ζ300000000ζζ−ζ−ζζ3ζ3−ζ3−ζ300000000ζ−ζζ3−ζ30000
χ692-22-22i−2i2i−2i-122-22i−2i1-2-112-2−i2i2ii−2i−2i−ii-1-22−2i2i1-11-112i−2i−i−iii−ii2-2000000002ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ31-1i−i-22−2i2i-11−ii11-1-1ii−i−i000000000000−2ζ2ζ−2ζ32ζ300000000−ζ−ζζζ−ζ3−ζ3ζ3ζ300000000ζ−ζζ3−ζ30000
χ702-22-22i−2i2i−2i-122-22i−2i1-2-112-2−i2i2ii−2i−2i−ii-1-22−2i2i1-11-112i−2i−i−iii−ii2-200000000−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ31-1i−i-22−2i2i-11−ii11-1-1ii−i−i0000000000002ζ−2ζ2ζ3−2ζ300000000ζζ−ζ−ζζ3ζ3−ζ3−ζ300000000−ζζ−ζ3ζ30000
χ712-22-2−2i2i−2i2i22-222i−2i-2-22-22-2−2i−2i−2i2i2i2i−2i2i20000-22-2-222i−2i−2i−2i2i2i2i−2i-22000000000000000000000000-222i−2i000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000000000000000000000000−2ζ32ζ3−2ζ2ζ000000000000
χ722-22-2−2i2i−2i2i22-222i−2i-2-22-22-2−2i−2i−2i2i2i2i−2i2i20000-22-2-222i−2i−2i−2i2i2i2i−2i-22000000000000000000000000-222i−2i00000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ0000000000000000000000002ζ3−2ζ32ζ−2ζ000000000000
χ732-22-2−2i2i−2i2i2-12-2−2i2i-212-2-11−2iii2i−i−i−2i2i-12-2−2i2i1-112-2i−iii−i−i−2i2i-1122-2-2−2i−2i2i2i000000002-2−2i2i-11i−i-11i−i-1-111ii−i−i000000002-2−2i2i0000-1-111ii−i−i000000000000-11i−i00000000
χ742-22-2−2i2i−2i2i2-12-2−2i2i-212-2-11−2iii2i−i−i−2i2i-12-2−2i2i1-112-2i−iii−i−i−2i2i-11-2-2222i2i−2i−2i000000002-2−2i2i-11i−i-11i−i-1-111ii−i−i00000000-222i−2i000011-1-1−i−iii0000000000001-1−ii00000000
χ752-22-2−2i2i−2i2i2-12-2−2i2i-212-2-11−2iii2i−i−i−2i2i-1-222i−2i1-112-2i−iii−i−i−2i2i-1122-2-2−2i−2i2i2i00000000-222i−2i1-1−ii-11i−i11-1-1−i−iii00000000-222i−2i0000-1-111ii−i−i0000000000001-1−ii00000000
χ762-22-2−2i2i−2i2i2-12-2−2i2i-212-2-11−2iii2i−i−i−2i2i-1-222i−2i1-112-2i−iii−i−i−2i2i-11-2-2222i2i−2i−2i00000000-222i−2i1-1−ii-11i−i11-1-1−i−iii000000002-2−2i2i000011-1-1−i−iii000000000000-11i−i00000000
χ772-22-2−2i2i−2i2i-122-2−2i2i1-2-112-2i−2i−2i−i2i2ii−i-12-2−2i2i1-11-11−2i2iii−i−ii−i2-2000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ-11i−i2-2−2i2i-11i−i-1-111ii−i−i0000000000002ζ3−2ζ32ζ−2ζ00000000−ζ3−ζ3ζ3ζ3−ζ−ζζζ00000000−ζ3ζ3−ζζ0000
χ782-22-2−2i2i−2i2i-122-2−2i2i1-2-112-2i−2i−2i−i2i2ii−i-12-2−2i2i1-11-11−2i2iii−i−ii−i2-200000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ-11i−i2-2−2i2i-11i−i-1-111ii−i−i000000000000−2ζ32ζ3−2ζ2ζ00000000ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ00000000ζ3−ζ3ζ−ζ0000
χ792-22-2−2i2i−2i2i-122-2−2i2i1-2-112-2i−2i−2i−i2i2ii−i-1-222i−2i1-11-11−2i2iii−i−ii−i2-2000000002ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ1-1−ii-222i−2i-11i−i11-1-1−i−iii000000000000−2ζ32ζ3−2ζ2ζ00000000−ζ3−ζ3ζ3ζ3−ζ−ζζζ00000000ζ3−ζ3ζ−ζ0000
χ802-22-2−2i2i−2i2i-122-2−2i2i1-2-112-2i−2i−2i−i2i2ii−i-1-222i−2i1-11-11−2i2iii−i−ii−i2-200000000−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ1-1−ii-222i−2i-11i−i11-1-1−i−iii0000000000002ζ3−2ζ32ζ−2ζ00000000ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ00000000−ζ3ζ3−ζζ0000
χ812-2-222i−2i−2i2i220000-2-2-22-222i2i−2i−2i−2i2i−2i2i20000-2-2200002i−2i−2i2i00002−2−22i2−i2−i2i21+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000000000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3000000002−2−22i2−i2−i2i21+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000000000
χ822-2-222i−2i−2i2i220000-2-2-22-222i2i−2i−2i−2i2i−2i2i20000-2-2200002i−2i−2i2i00002−2−22i2−i2−i2i2−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000000000000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ3000000002−2−22i2−i2−i2i2−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000000000
χ832-2-222i−2i−2i2i220000-2-2-22-222i2i−2i−2i−2i2i−2i2i20000-2-2200002i−2i−2i2i0000−222−2−i2i2i2−i21+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000000000000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ300000000−222−2−i2i2i2−i21+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000000000
χ842-2-222i−2i−2i2i220000-2-2-22-222i2i−2i−2i−2i2i−2i2i20000-2-2200002i−2i−2i2i0000−222−2−i2i2i2−i2−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000000000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ300000000−222−2−i2i2i2−i2−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000000000
χ852-2-22−2i2i2i−2i220000-2-2-22-22−2i−2i2i2i2i−2i2i−2i20000-2-220000−2i2i2i−2i00002−2−22−i2i2i2−i21−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ000000002−2−22−i2i2i2−i21−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000000000
χ862-2-22−2i2i2i−2i220000-2-2-22-22−2i−2i2i2i2i−2i2i−2i20000-2-220000−2i2i2i−2i00002−2−22−i2i2i2−i2−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000000000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ000000002−2−22−i2i2i2−i2−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000000000
χ872-2-22−2i2i2i−2i220000-2-2-22-22−2i−2i2i2i2i−2i2i−2i20000-2-220000−2i2i2i−2i0000−222−2i2−i2−i2i21−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000000000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ00000000−222−2i2−i2−i2i21−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000000000
χ882-2-22−2i2i2i−2i220000-2-2-22-22−2i−2i2i2i2i−2i2i−2i20000-2-220000−2i2i2i−2i0000−222−2i2−i2−i2i2−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ00000000−222−2i2−i2−i2i2−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000000000
χ89444444444-2-4-4-4-44-244-2-24-2-24-2-244-20000-2-2-2-4-422-2-2-2-2-4-422000000000000000000000000222200000000000000000000000000000000000000000000000000000000
χ9044444444-24-4-4-4-4-24-2-244-244-244-2-2-20000-2-2-222-4-4-2-2-2-222-4-4000000000000000000000000222200000000000000000000000000000000000000000000000000000000
χ9144444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-214444111-2-2-2-21111-2-2-2-20000000000000000-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000000000
χ9244444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4111-2-2-2-21111-2-2-2-20000000000000000222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ9344444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-210000111222211112222000000000000000000000000-1-1-1-13-33-33-33-3000000000000000000000000000000000000000000000000
χ9444444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-210000111222211112222000000000000000000000000-1-1-1-1-33-33-33-33000000000000000000000000000000000000000000000000
χ954444-4-4-4-44-2-4-4444-244-2-2-422-422-4-4-20000-2-2-2-4-4-2-22222442200000000000000000000000022-2-200000000000000000000000000000000000000000000000000000000
χ964444-4-4-4-4-24-4-444-24-2-2442-4-42-4-422-20000-2-2-222442222-2-2-4-400000000000000000000000022-2-200000000000000000000000000000000000000000000000000000000
χ974444-4-4-4-4-2-244-4-4-2-2-2-2-2-222222222144-4-4111-2-222-1-1-1-122-2-20000000000000000-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000000000000000
χ984444-4-4-4-4-2-244-4-4-2-2-2-2-2-2222222221-4-444111-2-222-1-1-1-122-2-2000000000000000022-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000000000000000000
χ994444-4-4-4-4-2-2-4-444-2-2-2-2-2-2222222221000011122-2-2-1-1-1-1-2-222000000000000000000000000-1-1113-33-3-33-33000000000000000000000000000000000000000000000000
χ1004444-4-4-4-4-2-2-4-444-2-2-2-2-2-2222222221000011122-2-2-1-1-1-1-2-222000000000000000000000000-1-111-33-333-33-3000000000000000000000000000000000000000000000000
χ10144-4-444-4-44-200004-2-4-4224-224-22-4-4-20000-2220000-22-22000022−2222−2222−2222−2200000000000000000000000000000000000000000000−22−22−22−22000000000000000000000000
χ10244-4-444-4-44-200004-2-4-4224-224-22-4-4-20000-2220000-22-220000−2222−2222−2222−2222000000000000000000000000000000000000000000002−22−22−22−2000000000000000000000000
χ10344-4-444-4-4-240000-2422-4-4-24-4-24-422-20000-2220000-22-2200000000000022−2222−2222−2222−2200000000000000000000000000000000000000000000−22−22−22−220000000000000000
χ10444-4-444-4-4-240000-2422-4-4-24-4-24-422-20000-2220000-22-22000000000000−2222−2222−2222−2222000000000000000000000000000000000000000000002−22−22−22−20000000000000000
χ10544-4-4-4-4444-200004-2-4-422-42-2-42-244-20000-22200002-22-2000022−2222−22−2222−222200000000000000000000000000000000000000000000−22−222−22−2000000000000000000000000
χ10644-4-4-4-4444-200004-2-4-422-42-2-42-244-20000-22200002-22-20000−2222−222222−2222−22000000000000000000000000000000000000000000002−22−2−22−22000000000000000000000000
χ10744-4-4-4-444-240000-2422-4-42-442-44-2-2-20000-22200002-22-20000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i20000000000000000
χ10844-4-4-4-444-240000-2422-4-42-442-44-2-2-20000-22200002-22-2000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i20000000000000000
χ1094-44-44i−4i4i−4i4-2-44−4i4i-424-4-224i−2i−2i−4i2i2i4i−4i-200002-22-442i−2i−2i−2i2i2i−4i4i2-20000000000000000000000002-22i−2i00000000000000000000000000000000000000000000000000000000
χ1104-44-44i−4i4i−4i-24-44−4i4i2-4-224-4−2i4i4i2i−4i−4i−2i2i-200002-222-2−4i4i−2i−2i2i2i2i−2i-440000000000000000000000002-22i−2i00000000000000000000000000000000000000000000000000000000
χ1114-44-44i−4i4i−4i-2-24-44i−4i22-22-22−2i−2i−2i2i2i2i−2i2i14-44i−4i-11-1-22−2i2iii−i−i−2i2i-220000000000000000-22−2i2i-22−2i2i1-1i−i11-1-1ii−i−i000000000000000000000000000000000000000000000000
χ1124-44-44i−4i4i−4i-2-24-44i−4i22-22-22−2i−2i−2i2i2i2i−2i2i1-44−4i4i-11-1-22−2i2iii−i−i−2i2i-2200000000000000002-22i−2i2-22i−2i1-1i−i-1-111−i−iii000000000000000000000000000000000000000000000000
χ1134-44-44i−4i4i−4i-2-2-44−4i4i22-22-22−2i−2i−2i2i2i2i−2i2i10000-11-12-22i−2iii−i−i2i−2i2-2000000000000000000000000-11−ii3-3-333i−3i−3i3i000000000000000000000000000000000000000000000000
χ1144-44-44i−4i4i−4i-2-2-44−4i4i22-22-22−2i−2i−2i2i2i2i−2i2i10000-11-12-22i−2iii−i−i2i−2i2-2000000000000000000000000-11−ii-333-3−3i3i3i−3i000000000000000000000000000000000000000000000000
χ1154-44-4−4i4i−4i4i4-2-444i−4i-424-4-22−4i2i2i4i−2i−2i−4i4i-200002-22-44−2i2i2i2i−2i−2i4i−4i2-20000000000000000000000002-2−2i2i00000000000000000000000000000000000000000000000000000000
χ1164-44-4−4i4i−4i4i-24-444i−4i2-4-224-42i−4i−4i−2i4i4i2i−2i-200002-222-24i−4i2i2i−2i−2i−2i2i-440000000000000000000000002-2−2i2i00000000000000000000000000000000000000000000000000000000
χ1174-44-4−4i4i−4i4i-2-24-4−4i4i22-22-222i2i2i−2i−2i−2i2i−2i14-4−4i4i-11-1-222i−2i−i−iii2i−2i-220000000000000000-222i−2i-222i−2i1-1−ii11-1-1−i−iii000000000000000000000000000000000000000000000000
χ1184-44-4−4i4i−4i4i-2-24-4−4i4i22-22-222i2i2i−2i−2i−2i2i−2i1-444i−4i-11-1-222i−2i−i−iii2i−2i-2200000000000000002-2−2i2i2-2−2i2i1-1−ii-1-111ii−i−i000000000000000000000000000000000000000000000000
χ1194-44-4−4i4i−4i4i-2-2-444i−4i22-22-222i2i2i−2i−2i−2i2i−2i10000-11-12-2−2i2i−i−iii−2i2i2-2000000000000000000000000-11i−i3-3-33−3i3i3i−3i000000000000000000000000000000000000000000000000
χ1204-44-4−4i4i−4i4i-2-2-444i−4i22-22-222i2i2i−2i−2i−2i2i−2i10000-11-12-2−2i2i−i−iii−2i2i2-2000000000000000000000000-11i−i-333-33i−3i−3i3i000000000000000000000000000000000000000000000000
χ1214-4-444i−4i−4i4i4-20000-42-442-24i−2i2i−4i2i−2i−4i4i-2000022-20000−2i2i2i−2i000022−22−22222i2−2i2−2i22i200000000000000000000000000000000000000000000−222−2−i2i2i2−i2000000000000000000000000
χ1224-4-444i−4i−4i4i4-20000-42-442-24i−2i2i−4i2i−2i−4i4i-2000022-20000−2i2i2i−2i0000−222222−22−2i22i22i2−2i2000000000000000000000000000000000000000000002−2−22i2−i2−i2i2000000000000000000000000
χ1234-4-444i−4i−4i4i-2400002-42-2-44−2i4i−4i2i−4i4i2i−2i-2000022-20000−2i2i2i−2i0000000000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i00000000000000000000000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000000000000000
χ1244-4-444i−4i−4i4i-2400002-42-2-44−2i4i−4i2i−4i4i2i−2i-2000022-20000−2i2i2i−2i000000000000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i000000000000000000000000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000000000000000
χ1254-4-44−4i4i4i−4i4-20000-42-442-2−4i2i−2i4i−2i2i4i−4i-2000022-200002i−2i−2i2i000022−22−2222−2i22i22i2−2i200000000000000000000000000000000000000000000−222−2i2−i2−i2i2000000000000000000000000
χ1264-4-44−4i4i4i−4i4-20000-42-442-2−4i2i−2i4i−2i2i4i−4i-2000022-200002i−2i−2i2i0000−222222−222i2−2i2−2i22i2000000000000000000000000000000000000000000002−2−22−i2i2i2−i2000000000000000000000000
χ1274-4-44−4i4i4i−4i-2400002-42-2-442i−4i4i−2i4i−4i−2i2i-2000022-200002i−2i−2i2i0000000000002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i00000000000000000000000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000000000000000
χ1284-4-44−4i4i4i−4i-2400002-42-2-442i−4i4i−2i4i−4i−2i2i-2000022-200002i−2i−2i2i000000000000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i000000000000000000000000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000000000000000
χ12988-8-888-8-8-4-40000-4-44444-4-44-4-4444200002-2-200002-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-8-8-888-4-40000-4-4444444-444-4-4-4200002-2-20000-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-888i−8i−8i8i-4-40000444-44-4−4i−4i4i4i4i−4i4i−4i20000-2-2200002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88−8i8i8i−8i-4-40000444-44-44i4i−4i−4i−4i4i−4i4i20000-2-220000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.