Finite Group Databasebeta

← Group #13143264

Character table — Group #13143264

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size112222222222222333344444444444444444666666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212727272727272727272727272
order122344688121224242424336624666888121212242424242424669991212121218181824242424363636363636727272727272727272727272661212181818181818181818242424242424363636363636363636727272727272727272727272727272727272246688121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11-1-11-1-11-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ41111111111111111111-1-11-1-11-1-11-1-111-1-1-1-11111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ5111111111111111−1−i32−1+i32−1−i32−1+i3211111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−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+i321−1−i32−1+i3211−1−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−i32−1+i32−1+i3211−1−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+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ6111111111111111−1−i32−1+i32−1−i32−1+i3211111111111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−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+i321−1−i32−1+i3211−1−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−i32−1+i32−1+i3211−1−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−i32-1-11+i321−i321+i321+i321−i321−i32
χ7111111111111111−1−i32−1+i32−1−i32−1+i32-1-11-1-11-1-11-1-111-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ8111111111111111−1−i32−1+i32−1−i32−1+i32-1-11-1-11-1-11-1-111-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ9111111111111111−1+i32−1−i32−1+i32−1−i3211111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+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−i321−1+i32−1−i3211−1+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+i32−1−i32−1−i3211−1+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−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ10111111111111111−1+i32−1−i32−1+i32−1−i3211111111111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+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−i321−1+i32−1−i3211−1+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+i32−1−i32−1−i3211−1+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+i32-1-11−i321+i321−i321−i321+i321+i32
χ11111111111111111−1+i32−1−i32−1+i32−1−i32-1-11-1-11-1-11-1-111-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ12111111111111111−1+i32−1−i32−1+i32−1−i32-1-11-1-11-1-11-1-111-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ131111111-1-111-1-1-1-1111111111-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-11-11-1
χ141111111-1-111-1-1-1-1111111111-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-11-11
χ151111111-1-111-1-1-1-11111-1-11-1-1-1111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-111-11-1-1-11-11
χ161111111-1-111-1-1-1-11111-1-11-1-1-1111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-11-1111-11-1
χ171111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211111-1-1-1111-1-1-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321-1−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i32
χ181111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i3211111-1-1-1111-1-1-1-1-1-1−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-111+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i32
χ191111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-11-1-1-1111-1-1-1-11111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i32
χ201111111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-11-1-1-1111-1-1-1-11111−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-111+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i32
χ211111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211111-1-1-1111-1-1-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321-1−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i32
χ221111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i3211111-1-1-1111-1-1-1-1-1-1−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-111−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i32
χ231111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-11-1-1-1111-1-1-1-11111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-1−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i32
χ241111111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32-1-11-1-1-1111-1-1-1-11111−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-111−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i32
χ2522222222222222222222222222222222222222-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ262222222222222222222-2-22-2-22-2-22-2-222-2-2-2-222-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-111111122-2-2-2-2-1-1-1111111-1-1-1-1-1-1111111111111000000000000
χ27222222222222222−1−i3−1+i3−1−i3−1+i322222222222222222−1−i3−1+i3-11+i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ28222222222222222−1−i3−1+i3−1−i3−1+i3-2-22-2-22-2-22-2-222-2-2-2-2−1−i3−1+i3-11+i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i31+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i3−1+i31+i31+i31−i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ29222222222222222−1+i3−1−i3−1+i3−1−i322222222222222222−1+i3−1−i3-11−i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ30222222222222222−1+i3−1−i3−1+i3−1−i3-2-22-2-22-2-22-2-222-2-2-2-2−1+i3−1−i3-11−i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i31−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i3−1−i31−i31−i31+i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ312222222-2-222-2-2-2-2222222222-2-2-2222-2-2-2-2-2-222-1-1-12222-1-1-1-2-2-2-2-1-1-1-1-1-11111111111112222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111111111000000000000
χ322222222-2-222-2-2-2-22222-2-22-2-2-2222-2-2-2-2222222-1-1-12222-1-1-1-2-2-2-2-1-1-1-1-1-1111111111111-2-2-2-2-1-1-1111111-2-22222-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ332222222-2-222-2-2-2-2−1−i3−1+i3−1−i3−1+i322222-2-2-2222-2-2-2-2-2-2−1−i3−1+i3-11+i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i3−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i321+i31−i31+i31+i31−i31−i3-11+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ342222222-2-222-2-2-2-2−1−i3−1+i3−1−i3−1+i3-2-22-2-2-2222-2-2-2-22222−1−i3−1+i3-11+i321−i32−1−i3−1+i3−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i31+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i321+i31−i3−1−i3−1−i3−1+i3−1+i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ352222222-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i322222-2-2-2222-2-2-2-2-2-2−1+i3−1−i3-11−i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i321−i31−i31+i31+i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i3−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i321−i31+i31−i31−i31+i31+i3-11−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ362222222-2-222-2-2-2-2−1+i3−1−i3−1+i3−1−i3-2-22-2-2-2222-2-2-2-22222−1+i3−1−i3-11−i321+i32−1+i3−1−i3−1+i3−1−i3-11−i321+i321−i31−i31+i31+i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31+i31−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i321−i31+i3−1+i3−1+i3−1−i3−1−i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ372222-2-2200-2-2000022220020002i−2i-200002i2i−2i−2i22222-2-2-2-22220000-2-2-2-2-2-20000000000000000222000000002i−2i2i−2i-2-2-20000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000
χ382222-2-2200-2-2000022220020002i−2i-200002i2i−2i−2i22-1-1-1-2-2-2-2-1-1-1000011111133−3−333−3−333−3−30000-1-1-1−i3i3−i3i3−i3i3002i−2i2i−2i111−i3i3−i3i3−i3i33−33−33−3−i−iii−i−iii−i−iii000000000000
χ392222-2-2200-2-2000022220020002i−2i-200002i2i−2i−2i22-1-1-1-2-2-2-2-1-1-10000111111−3−333−3−333−3−3330000-1-1-1i3−i3i3−i3i3−i3002i−2i2i−2i111i3−i3i3−i3i3−i3−33−33−33−i−iii−i−iii−i−iii000000000000
χ402222-2-2200-2-200002222002000−2i2i-20000−2i−2i2i2i22222-2-2-2-22220000-2-2-2-2-2-2000000000000000022200000000−2i2i−2i2i-2-2-2000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000
χ412222-2-2200-2-200002222002000−2i2i-20000−2i−2i2i2i22-1-1-1-2-2-2-2-1-1-1000011111133−3−333−3−333−3−30000-1-1-1i3−i3i3−i3i3−i300−2i2i−2i2i111i3−i3i3−i3i3−i33−33−33−3ii−i−iii−i−iii−i−i000000000000
χ422222-2-2200-2-200002222002000−2i2i-20000−2i−2i2i2i22-1-1-1-2-2-2-2-1-1-10000111111−3−333−3−333−3−3330000-1-1-1−i3i3−i3i3−i3i300−2i2i−2i2i111−i3i3−i3i3−i3i3−33−33−33ii−i−iii−i−iii−i−i000000000000
χ432222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i30020002i−2i-200002i2i−2i−2i−1−i3−1+i32−1−i3−1+i31+i31−i31+i31−i32−1−i3−1+i30000-2-21+i31+i31−i31−i300000000000000002−1−i3−1+i3000000002ζ22−2ζ222ζ14−2ζ14-21+i31−i30000000000002i2i−2i−2i2ζ222ζ22−2ζ22−2ζ222ζ142ζ14−2ζ14−2ζ14000000000000
χ442222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i30020002i−2i-200002i2i−2i−2i−1−i3−1+i3-11+i321−i321+i31−i31+i31−i3-11+i321−i32000011−1−i32−1−i32−1+i32−1+i3233−3−32ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000-11+i321−i32−i3i3−3+i323−i323+i32−3−i32002ζ22−2ζ222ζ14−2ζ141−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i323−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14000000000000
χ452222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i30020002i−2i-200002i2i−2i−2i−1−i3−1+i3-11+i321−i321+i31−i31+i31−i3-11+i321−i32000011−1−i32−1−i32−1+i32−1+i32−3−333−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000-11+i321−i32i3−i33−i32−3+i32−3−i323+i32002ζ22−2ζ222ζ14−2ζ141−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i32−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14000000000000
χ462222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i3002000−2i2i-20000−2i−2i2i2i−1−i3−1+i32−1−i3−1+i31+i31−i31+i31−i32−1−i3−1+i30000-2-21+i31+i31−i31−i300000000000000002−1−i3−1+i300000000−2ζ222ζ22−2ζ142ζ14-21+i31−i3000000000000−2i−2i2i2i−2ζ22−2ζ222ζ222ζ22−2ζ14−2ζ142ζ142ζ14000000000000
χ472222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i3002000−2i2i-20000−2i−2i2i2i−1−i3−1+i3-11+i321−i321+i31−i31+i31−i3-11+i321−i32000011−1−i32−1−i32−1+i32−1+i3233−3−32ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ220000-11+i321−i32i3−i33−i32−3+i32−3−i323+i3200−2ζ222ζ22−2ζ142ζ141−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i323−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14000000000000
χ482222-2-2200-2-20000−1−i3−1+i3−1−i3−1+i3002000−2i2i-20000−2i−2i2i2i−1−i3−1+i3-11+i321−i321+i31−i31+i31−i3-11+i321−i32000011−1−i32−1−i32−1+i32−1+i32−3−333−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ220000-11+i321−i32−i3i3−3+i323−i323+i32−3−i3200−2ζ222ζ22−2ζ142ζ141−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i32−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14000000000000
χ492222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i30020002i−2i-200002i2i−2i−2i−1+i3−1−i32−1+i3−1−i31−i31+i31−i31+i32−1+i3−1−i30000-2-21−i31−i31+i31+i300000000000000002−1+i3−1−i3000000002ζ14−2ζ142ζ22−2ζ22-21−i31+i30000000000002i2i−2i−2i2ζ142ζ14−2ζ14−2ζ142ζ222ζ22−2ζ22−2ζ22000000000000
χ502222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i30020002i−2i-200002i2i−2i−2i−1+i3−1−i3-11−i321+i321−i31+i31−i31+i3-11−i321+i32000011−1+i32−1+i32−1−i32−1−i3233−3−3−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220000-11−i321+i32−i3i33+i32−3−i32−3+i323−i32002ζ14−2ζ142ζ22−2ζ221−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i323−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22000000000000
χ512222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i30020002i−2i-200002i2i−2i−2i−1+i3−1−i3-11−i321+i321−i31+i31−i31+i3-11−i321+i32000011−1+i32−1+i32−1−i32−1−i32−3−333ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000-11−i321+i32i3−i3−3−i323+i323−i32−3+i32002ζ14−2ζ142ζ22−2ζ221−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i32−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22000000000000
χ522222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i3002000−2i2i-20000−2i−2i2i2i−1+i3−1−i32−1+i3−1−i31−i31+i31−i31+i32−1+i3−1−i30000-2-21−i31−i31+i31+i300000000000000002−1+i3−1−i300000000−2ζ142ζ14−2ζ222ζ22-21−i31+i3000000000000−2i−2i2i2i−2ζ14−2ζ142ζ142ζ14−2ζ22−2ζ222ζ222ζ22000000000000
χ532222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i3002000−2i2i-20000−2i−2i2i2i−1+i3−1−i3-11−i321+i321−i31+i31−i31+i3-11−i321+i32000011−1+i32−1+i32−1−i32−1−i3233−3−3−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ220000-11−i321+i32i3−i3−3−i323+i323−i32−3+i3200−2ζ142ζ14−2ζ222ζ221−1+i32−1−i32i3−i3−3−i323+i323−i32−3+i323−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22000000000000
χ542222-2-2200-2-20000−1+i3−1−i3−1+i3−1−i3002000−2i2i-20000−2i−2i2i2i−1+i3−1−i3-11−i321+i321−i31+i31−i31+i3-11−i321+i32000011−1+i32−1+i32−1−i32−1−i32−3−333ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ220000-11−i321+i32−i3i33+i32−3−i32−3+i323−i3200−2ζ142ζ14−2ζ222ζ221−1+i32−1−i32−i3i33+i32−3−i32−3+i323−i32−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22000000000000
χ5522-222-2222222222222200-200-200-200-2-20000-2-222222-2-222222222222222222222222220000-2-2-2000000-2-20000-2-2-2000000-2-2-2-2-2-2000000000000000000000000
χ5622-222-2222222222222200-200-200-200-2-20000-2-2-1-1-122-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000111−i3i3−i3i3−i3i3-2-20000111i3−i3i3−i3i3−i3111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000
χ5722-222-2222222222222200-200-200-200-2-20000-2-2-1-1-122-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000111i3−i3i3−i3i3−i3-2-20000111−i3i3−i3i3−i3i3111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000
χ5822-222-2222222222−1−i3−1+i3−1−i3−1+i300-200-200-200-2-200001+i31−i32−1−i3−1+i3−1−i3−1+i31+i31−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i30000-21+i31−i30000001+i31−i30000-21+i31−i3000000-2-21+i31+i31−i31−i3000000000000000000000000
χ5922-222-2222222222−1−i3−1+i3−1−i3−1+i300-200-200-200-2-200001+i31−i3-11+i321−i32−1−i3−1+i31+i31−i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i321+i31−i300001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i3211−1−i32−1−i32−1+i32−1+i32−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000000000
χ6022-222-2222222222−1−i3−1+i3−1−i3−1+i300-200-200-200-2-200001+i31−i3-11+i321−i32−1−i3−1+i31+i31−i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3200001−1−i32−1+i32i3−i33−i32−3+i32−3−i323+i321+i31−i300001−1−i32−1+i32−i3i3−3+i323−i323+i32−3−i3211−1−i32−1−i32−1+i32−1+i32i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000000000
χ6122-222-2222222222−1+i3−1−i3−1+i3−1−i300-200-200-200-2-200001−i31+i32−1+i3−1−i3−1+i3−1−i31−i31+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i30000-21−i31+i30000001−i31+i30000-21−i31+i3000000-2-21−i31−i31+i31+i3000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.