Finite Group Databasebeta

← Group #13142991

Character table — Group #13142991

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111122222222223333333344444466666666666666666666666688888812121212121212121212121212121212121218181818181818181818181818181818181818181818181824242424242424242424242424242424727272727272
order1222344444466633666666121212121212999121212121212121212121212181818181818181818226666363636363636363636363636363636363636888888882424242424242424242424242424242466661818181818181818181818184412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ611111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ711111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−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−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32
χ811111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ911111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ1011111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ1111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+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+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ1211111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ1311111-1-1-1-1111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111-111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-11-11-1
χ1411111-1-1-1-1111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111111111-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-111-1-111-1-111-1-1-11-11-11
χ1511111-1-1-1-1111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111-11-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111-11-11-11
χ1611111-1-1-1-1111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111111111111-11-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-1111-11-11-1
χ1711111-1-1-1-111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-11−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-111-1-111-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i321+i32−1+i321−i32
χ1811111-1-1-1-111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-11−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-111-1-111-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-111111+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−i321+i32−1+i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i32−1−i321−i32−1+i32
χ1911111-1-1-1-111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-11−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-11111-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32
χ2011111-1-1-1-111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-11−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-11111-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i32−1−i321−i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32
χ2111111-1-1-1-111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-11−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-111-1-111-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i321−i32−1−i321+i32
χ2211111-1-1-1-111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-11−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-111-1-111-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-111111−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+i321−i32−1−i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i32−1+i321+i32−1−i32
χ2311111-1-1-1-111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-11−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-11111-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32
χ2411111-1-1-1-111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-11−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-11111-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i32−1+i321+i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32
χ252222222222222222222222222222-1-1-1222222222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ262222222222222222222222222222-1-1-1222222222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111111111000000
χ2722222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3222222-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32222222-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000000000000000−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000
χ2822222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3222222-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-2-2-2-2-2-2-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i320000000000000000000000001+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000
χ2922222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3222222-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32222222-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000000000000000−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000
χ3022222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3222222-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-2-2-2-2-2-2-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i320000000000000000000000001−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000
χ312222222-2-2-2-222222222222-2-222-2-22222222-2-2-2-2-2-2-2-2222222222000000-2-222-2-2-2-222-2-2-2-222-2-20000000000000000000000000000000000000000000000
χ322222222-2-2-2-222222222222-2-222-2-2-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-100000011-1-11111-1-11111-1-1110000000000000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000
χ332222222-2-2-2-222222222222-2-222-2-2-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-100000011-1-11111-1-11111-1-1110000000000000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000
χ342222222-2-2-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-222-2-22−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000-2-222-2-21+i31+i3−1−i3−1−i31+i31+i31−i31−i3−1+i3−1+i31−i31−i30000000000000000000000000000000000000000000000
χ352222222-2-2-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-222-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i3200000011-1-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000000000000000−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000
χ362222222-2-2-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-222-2-2-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i3200000011-1-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000000000000000i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000
χ372222222-2-2-2-2222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-222-2-22−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000-2-222-2-21−i31−i3−1+i3−1+i31−i31−i31+i31+i3−1−i3−1−i31+i31+i30000000000000000000000000000000000000000000000
χ382222222-2-2-2-2222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-222-2-2-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i3200000011-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000000000000000000000−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32000000
χ392222222-2-2-2-2222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-222-2-2-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i3200000011-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000000000000000000000i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32000000
χ4022222-2-222-2-222222222222-2-2-2-222222-2-2-2-22222-2-2-2-2222222222000000-2-2-2-222-2-2-2-222-2-2-2-2220000000000000000000000000000000000000000000000
χ4122222-2-222-2-222222222222-2-2-2-222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-10000001111-1-11111-1-11111-1-10000000000000000000000000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000
χ4222222-2-222-2-222222222222-2-2-2-222-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-10000001111-1-11111-1-11111-1-10000000000000000000000000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000
χ4322222-2-222-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-2222−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000-2-2-2-2221+i31+i31+i31+i3−1−i3−1−i31−i31−i31−i31−i3−1+i3−1+i30000000000000000000000000000000000000000000000
χ4422222-2-222-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-222-11+i321−i321+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i320000001111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000000000000000000000−i3i3i3−i3−3+i323−i323−i32−3+i323+i32−3−i32−3−i323+i32000000
χ4522222-2-222-2-2222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-2-222-11+i321−i321+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-1-1-11+i321+i321+i321−i321−i321−i320000001111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000000000000000000000i3−i3−i3i33−i32−3+i32−3+i323−i32−3−i323+i323+i32−3−i32000000
χ4622222-2-222-2-2222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-2222−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000-2-2-2-2221−i31−i31−i31−i3−1+i3−1+i31+i31+i31+i31+i3−1−i3−1−i30000000000000000000000000000000000000000000000
χ4722222-2-222-2-2222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-222-11−i321+i321−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i320000001111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000000000000000000000−i3i3i3−i33+i32−3−i32−3−i323+i32−3+i323−i323−i32−3+i32000000
χ4822222-2-222-2-2222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-2-222-11−i321+i321−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-1-1-11−i321−i321−i321+i321+i321+i320000001111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000000000000000000000i3−i3−i3i3−3−i323+i323+i32−3−i323−i32−3+i32−3+i323−i32000000
χ4922222-2-2-2-2222222222222222-2-2-2-2-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-12-222-2-2-1-11111-1-11111-1-111110000000000000000000000002-22-2-1-111-1-111-1-111000000
χ5022222-2-2-2-2222222222222222-2-2-2-2-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-22-2-222-1-11111-1-11111-1-11111000000000000000000000000-22-2211-1-111-1-111-1-1000000
χ5122222-2-2-2-222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-2-11+i321−i321+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i322-222-2-2-1-111111+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000−1−i31+i3−1+i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32000000
χ5222222-2-2-2-222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322-2-2-2-2-11+i321−i321+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-22-2-222-1-111111+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000001+i3−1−i31−i3−1+i311-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32000000
χ5322222-2-2-2-222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322-2-2-2-2-11−i321+i321−i31−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i322-222-2-2-1-111111−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000−1+i31−i3−1−i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32000000
χ5422222-2-2-2-222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322-2-2-2-2-11−i321+i321−i31−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-22-2-222-1-111111−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000000000000001−i3−1+i31+i3−1−i311-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32000000
χ5522-2-2200002-22-2-2222-22-2-2-22-20000222000000002-22-22-2-22-2-22-2-20000002-200002-200002-2000000002i2i−2i−2i00002i2i−2i−2i00002i2i−2i−2i0000000000000000000000
χ5622-2-2200002-22-2-2222-22-2-2-22-20000222000000002-22-22-2-22-2-22-2-20000002-200002-200002-200000000−2i−2i2i2i0000−2i−2i2i2i0000−2i−2i2i2i0000000000000000000000
χ5722-2-2200002-22-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i32-200002−1−i3−1+i300000000−1−i31+i3−1+i31−i32-2-2−1−i31+i31+i3−1+i31−i31−i30000002-20000−1−i31+i30000−1+i31−i3000000002i2i−2i−2i00002ζ222ζ22−2ζ22−2ζ2200002ζ142ζ14−2ζ14−2ζ140000000000000000000000
χ5822-2-2200002-22-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i32-200002−1−i3−1+i300000000−1−i31+i3−1+i31−i32-2-2−1−i31+i31+i3−1+i31−i31−i30000002-20000−1−i31+i30000−1+i31−i300000000−2i−2i2i2i0000−2ζ22−2ζ222ζ222ζ220000−2ζ14−2ζ142ζ142ζ140000000000000000000000
χ5922-2-2200002-22-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i32-200002−1+i3−1−i300000000−1+i31−i3−1−i31+i32-2-2−1+i31−i31−i3−1−i31+i31+i30000002-20000−1+i31−i30000−1−i31+i3000000002i2i−2i−2i00002ζ142ζ14−2ζ14−2ζ1400002ζ222ζ22−2ζ22−2ζ220000000000000000000000
χ6022-2-2200002-22-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i32-200002−1+i3−1−i300000000−1+i31−i3−1−i31+i32-2-2−1+i31−i31−i3−1−i31+i31+i30000002-20000−1+i31−i30000−1−i31+i300000000−2i−2i2i2i0000−2ζ14−2ζ142ζ142ζ140000−2ζ22−2ζ222ζ222ζ220000000000000000000000
χ6122-2-220000-222-2-2222-22-2-2-2-22000022200000000-22-222-2-22-2-22-2-2000000-220000-220000-2200002i2i−2i−2i00002i2i−2i−2i00002i2i−2i−2i00000000000000000000000000
χ6222-2-220000-222-2-2222-22-2-2-2-22000022200000000-22-222-2-22-2-22-2-2000000-220000-220000-220000−2i−2i2i2i0000−2i−2i2i2i0000−2i−2i2i2i00000000000000000000000000
χ6322-2-220000-222-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3-2200002−1−i3−1+i3000000001+i3−1−i31−i3−1+i32-2-2−1−i31+i31+i3−1+i31−i31−i3000000-2200001+i3−1−i300001−i3−1+i300002i2i−2i−2i00002ζ222ζ22−2ζ22−2ζ2200002ζ142ζ14−2ζ14−2ζ1400000000000000000000000000
χ6422-2-220000-222-2-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i3-2200002−1−i3−1+i3000000001+i3−1−i31−i3−1+i32-2-2−1−i31+i31+i3−1+i31−i31−i3000000-2200001+i3−1−i300001−i3−1+i30000−2i−2i2i2i0000−2ζ22−2ζ222ζ222ζ220000−2ζ14−2ζ142ζ142ζ1400000000000000000000000000
χ6522-2-220000-222-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3-2200002−1+i3−1−i3000000001−i3−1+i31+i3−1−i32-2-2−1+i31−i31−i3−1−i31+i31+i3000000-2200001−i3−1+i300001+i3−1−i300002i2i−2i−2i00002ζ142ζ14−2ζ14−2ζ1400002ζ222ζ22−2ζ22−2ζ2200000000000000000000000000
χ6622-2-220000-222-2-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i3-2200002−1+i3−1−i3000000001−i3−1+i31+i3−1−i32-2-2−1+i31−i31−i3−1−i31+i31+i3000000-2200001−i3−1+i300001+i3−1−i30000−2i−2i2i2i0000−2ζ14−2ζ142ζ142ζ140000−2ζ22−2ζ222ζ222ζ2200000000000000000000000000
χ672-22-222-20000-22-222-22-22-2-2002-2002222-22-200000000-22-2-22-2-22-2000000002-200002-200002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000
χ682-22-222-20000-22-222-22-22-2-2002-2002222-22-200000000-22-2-22-2-22-2000000002-200002-200002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000
χ692-22-222-20000-22-2−1−i3−1+i31+i3−1−i31−i3−1+i31+i31−i3002-2002−1−i3−1+i3−1−i31+i3−1+i31−i300000000-22-21+i3−1−i31+i31−i3−1+i31−i3000000002-20000−1−i31+i30000−1+i31−i300−i2i2−i2i2−i2i2−i2i2ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.