Finite Group Databasebeta

← Group #72259870

Character table — Group #72259870

Order 2688.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size1111111122224444444466666666777777777777777788121212121212121212121212141414141414141414141414141414141414141424242424242424242828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282856565656565656565656
order122222222222222244447141414141414143366666666666666241414141414141414141414144444666666661212121212121212141428282828282822224444446666666666666666121212121212121212121212121212121212121224666612121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ31111111111111111111111111111−1+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−i32111111111111111111−1+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−i32111111111111111111−1+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−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ41111111111111111111111111111−1+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−i3211111111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211111111-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+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+i32-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ51111111111111111111111111111−1−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+i32111111111111111111−1−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+i32111111111111111111−1−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+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ61111111111111111111111111111−1−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+i3211111111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211111111-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−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−i32-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ71111111111111111-1-1-1-1111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ81111111111111111-1-1-1-1111111111111111111111111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111
χ91111111111111111-1-1-1-111111111−1+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−i32-1-11111111111111111−1+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−i32-1-1-1-1-1-1-1-11111-1-1-1-111−1+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−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ101111111111111111-1-1-1-111111111−1+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−i32-1-1111111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−1+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+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ111111111111111111-1-1-1-111111111−1−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+i32-1-11111111111111111−1−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+i32-1-1-1-1-1-1-1-11111-1-1-1-111−1−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+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ121111111111111111-1-1-1-111111111−1−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+i32-1-1111111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−1−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−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ13111111111111-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ14111111111111-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ15111111111111-1-1-1-1111111111111−1+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−i32-1-11111-1-1-1-1-1-1-1-11111−1+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−i32−1−i32−1−i32-1-11111-1-1-1-1-1-11111111−i321−i321−i321−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−i32-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ16111111111111-1-1-1-1111111111111−1+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−i32-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11111-1-11111-1-1-1-1-1-11−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−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ17111111111111-1-1-1-1111111111111−1−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+i32-1-11111-1-1-1-1-1-1-1-11111−1−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+i32−1+i32−1+i32-1-11111-1-1-1-1-1-11111111+i321+i321+i321+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+i32-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ18111111111111-1-1-1-1111111111111−1−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+i32-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11111-1-11111-1-1-1-1-1-11+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+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ19111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ20111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ21111111111111-1-1-1-1-1-1-1-111111111−1+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−i32111111-1-1-1-1-1-1-1-11111−1+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−i32−1−i32−1−i3211-1-1-1-111-1-1-1-1-1-1-1-1111−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ22111111111111-1-1-1-1-1-1-1-111111111−1+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−i32111111-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-11111111111-1-11−i321−i321−i321−i321+i321+i321+i321+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−i321−i321−i321+i321+i32-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ23111111111111-1-1-1-1-1-1-1-111111111−1−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+i32111111-1-1-1-1-1-1-1-11111−1−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+i32−1+i32−1+i3211-1-1-1-111-1-1-1-1-1-1-1-1111+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ24111111111111-1-1-1-1-1-1-1-111111111−1−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+i32111111-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-11111111111-1-11+i321+i321+i321+i321−i321−i321−i321−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+i321+i321+i321−i321−i32-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ2511111111-1-1-1-111-1-111-1-11111111111111111111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-11-11111-1-1-1-1
χ2611111111-1-1-1-111-1-111-1-11111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1111111-1111-1-1-1-111
χ2711111111-1-1-1-111-1-111-1-111111111−1+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−i321-1-1-1-1-11111-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-111-1-111-1-1-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ2811111111-1-1-1-111-1-111-1-111111111−1+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−i321-1-1-1-1-11111-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1-1-111-1-11111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−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−i32-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ2911111111-1-1-1-111-1-111-1-111111111−1−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+i321-1-1-1-1-11111-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-111-1-111-1-1-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ3011111111-1-1-1-111-1-111-1-111111111−1−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+i321-1-1-1-1-11111-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1-1-111-1-11111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+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+i32-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ3111111111-1-1-1-111-1-1-1-111111111111111111111111111-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-11-1-1-1-11111
χ3211111111-1-1-1-111-1-1-1-111111111111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111111-1-1-11111-1-1
χ3311111111-1-1-1-111-1-1-1-11111111111−1+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−i32-11-1-1-1-11111-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1111111-1-1-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32-111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ3411111111-1-1-1-111-1-1-1-11111111111−1+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−i32-11-1-1-1-11111-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11111-1-11111-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+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−i321-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ3511111111-1-1-1-111-1-1-1-11111111111−1−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+i32-11-1-1-1-11111-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1111111-1-1-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32-111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ3611111111-1-1-1-111-1-1-1-11111111111−1−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+i32-11-1-1-1-11111-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11111-1-11111-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−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+i321-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ3711111111-1-1-1-1-1-11111-1-1111111111111111111111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-11111
χ3811111111-1-1-1-1-1-11111-1-1111111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-11111111-1-1-11111-1-1
χ3911111111-1-1-1-1-1-11111-1-111111111−1+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−i32-11-1-1-1-1-1-1-1-1111111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-111-1-111-1-11111-1-1-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32-111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ4011111111-1-1-1-1-1-11111-1-111111111−1+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−i32-11-1-1-1-1-1-1-1-11111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111-1-11111-1-1-1-111111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−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−i321-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ4111111111-1-1-1-1-1-11111-1-111111111−1−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+i32-11-1-1-1-1-1-1-1-1111111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-111-1-111-1-11111-1-1-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32-111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ4211111111-1-1-1-1-1-11111-1-111111111−1−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+i32-11-1-1-1-1-1-1-1-11111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-1-11111-1-1-1-111111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+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+i321-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ4311111111-1-1-1-1-1-111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-11-11111-1-1-1-1
χ4411111111-1-1-1-1-1-111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-11111-1111-1-1-1-111
χ4511111111-1-1-1-1-1-111-1-11111111111−1+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−i321-1-1-1-1-1-1-1-1-1111111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-111-1-1-1-111-1-111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ4611111111-1-1-1-1-1-111-1-11111111111−1+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−i321-1-1-1-1-1-1-1-1-11111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-111-1-111-1-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+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−i32-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ4711111111-1-1-1-1-1-111-1-11111111111−1−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+i321-1-1-1-1-1-1-1-1-1111111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-111-1-1-1-111-1-111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ4811111111-1-1-1-1-1-111-1-11111111111−1−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+i321-1-1-1-1-1-1-1-1-11111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-111-1-111-1-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−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+i32-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ4922-2-2-2-22222-2-200000000222-2-22-2-22222-2-2-2-2-2-2-2-222220022-2-20000000022-2-222-2-222-2-222-2-222-2-200000000000000002-2000000000000000000000000000000002-22-20000000000
χ5022-2-2-2-22222-2-200000000222-2-22-2-22222-2-2-2-2-2-2-2-222220022-2-200000000-2-22222-2-222-2-2-2-222-2-2220000000000000000-2200000000000000000000000000000000-22-220000000000
χ5122-2-2-2-22222-2-200000000222-2-22-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3−1+i3−1+i3−1−i3−1−i30022-2-20000000022-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i300000000000000002-200000000000000000000000000000000−1+i31−i3−1−i31+i30000000000
χ5222-2-2-2-22222-2-200000000222-2-22-2-2−1+i3−1−i3−1+i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3−1+i3−1+i3−1−i3−1−i30022-2-200000000-2-222−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i30000000000000000-22000000000000000000000000000000001−i3−1+i31+i3−1−i30000000000
χ5322-2-2-2-22222-2-200000000222-2-22-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3−1−i3−1−i3−1+i3−1+i30022-2-20000000022-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i300000000000000002-200000000000000000000000000000000−1−i31+i3−1+i31−i30000000000
χ5422-2-2-2-22222-2-200000000222-2-22-2-2−1−i3−1+i3−1−i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3−1−i3−1−i3−1+i3−1+i30022-2-200000000-2-222−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i30000000000000000-22000000000000000000000000000000001+i3−1−i31−i3−1+i30000000000
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χ110444-4-44-4-40000000000004-44-44-44-4−2+2i3−2−2i3−2+2i3−2−2i3−2+2i32−2i32−2i3−2+2i3−2−2i32+2i32+2i3−2−2i32−2i32−2i32+2i32+2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ111444-4-44-4-40000000000004-44-44-44-4−2−2i3−2+2i3−2−2i3−2+2i3−2−2i32+2i32+2i3−2−2i3−2+2i32−2i32−2i3−2+2i32+2i32+2i32−2i32−2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11244-444-4-4-40000000000004-444-4-4-444444-444-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11344-444-4-4-40000000000004-444-4-4-44−2+2i3−2−2i3−2+2i3−2−2i32−2i3−2+2i3−2+2i32−2i32+2i3−2−2i3−2−2i32+2i32−2i32−2i32+2i32+2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11444-444-4-4-40000000000004-444-4-4-44−2−2i3−2+2i3−2−2i3−2+2i32+2i3−2−2i3−2−2i32+2i32−2i3−2+2i3−2+2i32−2i32+2i32+2i32−2i32−2i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11566666666666666666666-1-1-1-1-1-1-1-1000000000000000066-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1166666666666666666-6-6-6-6-1-1-1-1-1-1-1-10000000000000000-6-6-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000001111111100000000000000000000000000000000000000000000000000000000
χ117666666666666-6-6-6-66666-1-1-1-1-1-1-1-10000000000000000-6-6-1-1-1-1111111110000000000000000000011-1-1-1-11100000000000000000000000000000000000000000000000000000000
χ118666666666666-6-6-6-6-6-6-6-6-1-1-1-1-1-1-1-1000000000000000066-1-1-1-11111111100000000000000000000-1-11111-1-100000000000000000000000000000000000000000000000000000000
χ11966666666-6-6-6-666-6-666-6-6-1-1-1-1-1-1-1-100000000000000006-61111-1-1-1-1111100000000000000000000-1-1-1-1111100000000000000000000000000000000000000000000000000000000
χ12066666666-6-6-6-666-6-6-6-666-1-1-1-1-1-1-1-10000000000000000-661111-1-1-1-11111000000000000000000001111-1-1-1-100000000000000000000000000000000000000000000000000000000
χ12166666666-6-6-6-6-6-66666-6-6-1-1-1-1-1-1-1-10000000000000000-6611111111-1-1-1-10000000000000000000011-1-111-1-100000000000000000000000000000000000000000000000000000000
χ12266666666-6-6-6-6-6-666-6-666-1-1-1-1-1-1-1-100000000000000006-611111111-1-1-1-100000000000000000000-1-111-1-11100000000000000000000000000000000000000000000000000000000
χ1236-666-6-66-66-66-600006-66-6-11111-1-1-1000000000000000000-11-11−i7i7−i7i7−i7i7−i7i700000000000000000000−i7i7-11-11−i7i700000000000000000000000000000000000000000000000000000000
χ1246-666-6-66-66-66-600006-66-6-11111-1-1-1000000000000000000-11-11i7−i7i7−i7i7−i7i7−i700000000000000000000i7−i7-11-11i7−i700000000000000000000000000000000000000000000000000000000
χ1256-666-6-66-66-66-60000-66-66-11111-1-1-1000000000000000000-11-11−i7i7−i7i7−i7i7−i7i700000000000000000000i7−i71-11-1i7−i700000000000000000000000000000000000000000000000000000000
χ1266-666-6-66-66-66-60000-66-66-11111-1-1-1000000000000000000-11-11i7−i7i7−i7i7−i7i7−i700000000000000000000−i7i71-11-1−i7i700000000000000000000000000000000000000000000000000000000
χ1276-666-6-66-6-66-6600006-6-66-11111-1-1-10000000000000000001-11-1−i7i7−i7i7i7−i7i7−i700000000000000000000−i7i7-111-1i7−i700000000000000000000000000000000000000000000000000000000
χ1286-666-6-66-6-66-6600006-6-66-11111-1-1-10000000000000000001-11-1i7−i7i7−i7−i7i7−i7i700000000000000000000i7−i7-111-1−i7i700000000000000000000000000000000000000000000000000000000
χ1296-666-6-66-6-66-660000-666-6-11111-1-1-10000000000000000001-11-1−i7i7−i7i7i7−i7i7−i700000000000000000000i7−i71-1-11−i7i700000000000000000000000000000000000000000000000000000000
χ1306-666-6-66-6-66-660000-666-6-11111-1-1-10000000000000000001-11-1i7−i7i7−i7−i7i7−i7i700000000000000000000−i7i71-1-11i7−i700000000000000000000000000000000000000000000000000000000
χ131121212-12-1212-12-12000000000000-22-22-22-2200000000000000000000000000−2i72i72i7−2i7000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ132121212-12-1212-12-12000000000000-22-22-22-22000000000000000000000000002i7−2i7−2i72i7000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1331212-121212-12-12-12000000000000-22-2-2222-20000000000000000000000−2i72i72i7−2i70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1341212-121212-12-12-12000000000000-22-2-2222-200000000000000000000002i7−2i7−2i72i70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1351212-12-12-12-1212121212-12-1200000000-2-2-222-222000000000000000000-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1361212-12-12-12-121212-12-12121200000000-2-2-222-22200000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13712-1212-1212-12-121200000012-120000-2-22-222-2200000000000000000000000000-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13812-1212-1212-12-1212000000-12120000-2-22-222-220000000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13912-12-1212-1212-1212000012-12000000-2-222-222-20000000000000000000000-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14012-12-1212-1212-12120000-1212000000-2-222-222-2000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14112-12-12-12121212-1212-12-121200000000-222-2-2-222000000000000000000-222-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14212-12-12-12121212-12-121212-1200000000-222-2-2-2220000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).