Finite Group Databasebeta

← Group #72253045

Character table — Group #72253045

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size1111222222444444444444444466666666666666668888888888888888888888881616161616161616161616161616161618181818181818182424242424242424242424242424242424242424242424242424242424242424323232323232323232323232323232323232323232323232
order12224444443333666666666666222244444444444412121212121212121212121212121212121212121212121233336666666666662244444466666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32111111111111111111111111−1−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+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i321111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3111111111111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32111111111111111111111111−1+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−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i321111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321111−1−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−i32−1+i32−1+i32−1+i32−1+i32
χ51111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+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+i3211−1−i32−1+i3211−1−i32−1+i3211−1−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−i32−1+i32−1+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+i3211111111−1−i32−1−i32−1−i32−1−i32
χ61111111111−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32111111111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111
χ71111111111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321111−1+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+i32−1−i32−1−i32−1−i32−1−i32
χ81111111111−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32111111111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111
χ91111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−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−i3211−1+i32−1−i3211−1+i32−1−i3211−1+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+i32−1−i32−1−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−i3211111111−1+i32−1+i32−1+i32−1+i32
χ10111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ11111111-1-1-1-111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i321111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-11111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ12111111-1-1-1-111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i321111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-11111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ13111111-1-1-1-1−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32111111-1-1-1-1-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-1-1-1−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i3211111+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ14111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111-1-1-1-1-1-1-1-111111+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+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i321111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321111−1−i32−1−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i32
χ15111111-1-1-1-1−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321111-1-1-1-1-1-1-1-111111+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−i321−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1
χ16111111-1-1-1-1−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32111111-1-1-1-1-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-1-1-1−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i3211111−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ17111111-1-1-1-1−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321111-1-1-1-1-1-1-1-111111−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+i321−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1
χ18111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111-1-1-1-1-1-1-1-111111−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−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i321111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321111−1+i32−1+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i32
χ191111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ201111-1-111-1-111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-1-1-11111-1-1-1-1111111-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-11+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+i3211-1-111-1-1-1-1-1-11+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321+i321+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−i32
χ211111-1-111-1-111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-1-1-11111-1-1-1-1111111-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-11−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−i3211-1-111-1-1-1-1-1-11−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321−i321−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+i32
χ221111-1-111-1-1−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211-1-1-1-11111-1-1-1-11111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-111-1-11+i321+i321−i321−i32-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-111-1-11+i321+i321−i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-111-1-11+i321+i321−i321−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−i32
χ231111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-11111−1−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+i321+i321−i321−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i3211-1-111-1-11+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−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-11+i321+i32−1+i32−1+i321−i321−i3211-1-111-1-1−1−i32−1−i321+i321+i32
χ241111-1-111-1-1−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32-1-1-1-11111-1-1-1-11111−1−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−i321−i321+i321+i321−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32111-1-111-1-11+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−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-11+i321+i321−i321−i32-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1
χ251111-1-111-1-1−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211-1-1-1-11111-1-1-1-11111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-111-1-11−i321−i321+i321+i32-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-111-1-11−i321−i321+i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-111-1-11−i321−i321+i321+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+i32
χ261111-1-111-1-1−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32-1-1-1-11111-1-1-1-11111−1+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+i321+i321−i321−i321−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32111-1-111-1-11−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+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-11−i321−i321+i321+i32-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1
χ271111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-11111−1+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−i321−i321+i321+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i3211-1-111-1-11−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+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-11−i321−i32−1−i32−1−i321+i321+i3211-1-111-1-1−1+i32−1+i321−i321−i32
χ281111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ291111-1-1-1-11111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32-1-1-1-1-1-1-1-111111111-1-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-11+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+i3211-1-1-1-111-1-1-1-11+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32-1-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321−i321−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
χ301111-1-1-1-11111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32-1-1-1-1-1-1-1-111111111-1-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-11−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−i3211-1-1-1-111-1-1-1-11−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32-1-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321+i321+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
χ311111-1-1-1-111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211-1-1-1-1-1-1-1-1111111111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111-1-1111+i321+i321−i321−i32-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1111+i321+i321−i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i3211111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111-1-1111+i321+i321−i321−i321+i321+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
χ321111-1-1-1-111−1−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+i32-1-1-1-1-1-1-1-1111111111+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−i321−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i3211-1-1-1-1111+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+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32-1-1-1-11+i321+i321−i321−i32−1+i32−1+i32-1-111-1-1111+i321+i32−1−i32−1−i32
χ331111-1-1-1-111−1−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−i32-1-1-1-1-1-1-1-1111111111+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+i321+i321−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i3211−1−i32−1+i32111-1-1-1-1111+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+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11+i321+i321−i321−i32-1-1-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111
χ341111-1-1-1-111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211-1-1-1-1-1-1-1-1111111111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111-1-1111−i321−i321+i321+i32-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1111−i321−i321+i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i3211111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111-1-1111−i321−i321+i321+i321−i321−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
χ351111-1-1-1-111−1+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+i32-1-1-1-1-1-1-1-1111111111−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−i321−i321−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i32111-1-1-1-1111−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−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11−i321−i321+i321+i32-1-1-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111
χ361111-1-1-1-111−1+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−i32-1-1-1-1-1-1-1-1111111111−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+i321+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i32−1−i3211−1+i3211-1-1-1-1111−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−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32-1-1-1-11−i321−i321+i321+i32−1−i32−1−i32-1-111-1-1111−i321−i32−1+i32−1+i32
χ371-11-11-1i−ii−i1111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-1i−ii−ii−ii−ii−ii−ii−ii−i1-11-11-11-11111-1-1-1-11111-1-1-1-11-11-1i−ii−i1-11-11-11-11-11-11-11-1i−ii−ii−ii−ii−ii−ii−ii−i1-11-11-11-1i−ii−ii−ii−ii−ii−ii−ii−i
χ381-11-11-1i−ii−i11−1−i32−1+i32-1-11+i321−i3211−1−i32−1+i32-1-11+i321−i3211-1-1ii−i−iii−i−i11-1-1i−ii−ii−ii−iζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ71-11-1−1−i321+i32−1+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-11-1i−ii−i1-11-1−1−i321+i32−1+i321−i321-11-1−1−i321+i32−1+i321−i32i−ii−ii−ii−iζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ391-11-11-1i−ii−i11−1+i32−1−i32-1-11−i321+i3211−1+i32−1−i32-1-11−i321+i3211-1-1ii−i−iii−i−i11-1-1i−ii−ii−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ111-11-1−1+i321−i32−1−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-11-1i−ii−i1-11-1−1+i321−i32−1−i321+i321-11-1−1+i321−i32−1−i321+i32i−ii−ii−ii−iζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ401-11-11-1i−ii−i−1−i32−1+i32111+i321−i32-1-1−1−i32−1+i32111+i321−i32-1-111-1-1ii−i−iii−i−i11-1-1ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7i−ii−ii−ii−i−1−i321+i32−1+i321−i321-11-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321-11-1i−ii−i−1−i321+i32−1+i321−i321-11-1−1−i321+i32−1+i321−i321-11-1ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7i−ii−ii−ii−i−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.