Finite Group Databasebeta

← Group #13173186

Character table — Group #13173186

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147
size111122222222222222222222222222222222224444444466888888888888888888888888888888888888888888888888888888888888888888881212121212121212121212121212121212181818187272727272727272108108
order1222333344666666666666121212121212121212121212121212123366666644333333336666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212122666666661212121212121212224466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111−1−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ411111111111111111111111111111111111111−1−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-1
χ511111111111111111111111111111111111111−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ611111111111111111111111111111111111111−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-1
χ711111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-11
χ811111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111-1
χ911111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-11111111111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11
χ1011111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-111111111-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ1111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-11111111111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-11
χ1211111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1-111111111-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ1322222-1-1-12222-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ1422222-1-1-12222-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32222-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ1522222-1-1-12222-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32222-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ1622222-1-1-1-2-222-1-1-1-1-1-12-1-1-1-2-2-2-211111111111122222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-2111111111111-2-2-211111122-1-1-1-1-1-100000000000000
χ1722222-1-1-1-2-222-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31+i31−i31−i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-2-2-211111122-1-1-1-1-1-100000000000000
χ1822222-1-1-1-2-222-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31−i31+i31+i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-2-2-211111122-1-1-1-1-1-100000000000000
χ192222-12-1-122-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-100000000000000
χ202222-12-1-122-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i322-1-122-1-1-1-1-1-122-1-1-1-100000000000000
χ212222-12-1-122-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i322-1-122-1-1-1-1-1-122-1-1-1-100000000000000
χ222222-12-1-1-2-2-1-122-1-1-1-1-12-1-11111-2-2-2-2111111112222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-2-21111-2-2-2-2111111111111-2-2-2-211111111-211-2-21111-1-122-1-1-1-100000000000000
χ232222-12-1-1-2-2-1-122-1-1-1-1-12-1-11111-2-2-2-211111111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3221+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-211-2-21111-1-122-1-1-1-100000000000000
χ242222-12-1-1-2-2-1-122-1-1-1-1-12-1-11111-2-2-2-211111111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-211-2-21111-1-122-1-1-1-100000000000000
χ252222-1-12-122-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-100000000000000
χ262222-1-12-122-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i322-1-1-1-122-1-1-1-1-1-122-1-100000000000000
χ272222-1-12-122-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i322-1-1-1-122-1-1-1-1-1-122-1-100000000000000
χ282222-1-12-1-2-2-1-1-1-122-1-1-1-12-111111111-2-2-2-211112222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-2-2-2-211111111-2-2-2-2111111111111-2-2-2-21111-21111-2-211-1-1-1-122-1-100000000000000
χ292222-1-12-1-2-2-1-1-1-122-1-1-1-12-111111111-2-2-2-21111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3221+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32-21111-2-211-1-1-1-122-1-100000000000000
χ302222-1-12-1-2-2-1-1-1-122-1-1-1-12-111111111-2-2-2-21111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32-21111-2-211-1-1-1-122-1-100000000000000
χ312222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12200000000000000
χ322222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i32-1-1-1-1-1-122-1-1-1-1-1-12200000000000000
χ332222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i32-1-1-1-1-1-122-1-1-1-1-1-12200000000000000
χ342222-1-1-12-2-2-1-1-1-1-1-122-1-1-12111111111111-2-2-2-22222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2-2111111-2-2-1-1-1-1-1-12200000000000000
χ352222-1-1-12-2-2-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3-2111111-2-2-1-1-1-1-1-12200000000000000
χ362222-1-1-12-2-2-1-1-1-1-1-122-1-1-12111111111111-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3221−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3-2111111-2-2-1-1-1-1-1-12200000000000000
χ372-22-222222i−2i2-22-22-22-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i-1-1-1-1111100-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-111111111i−ii−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i000000000000000002-22i−2i1-11-1i−ii−i00
χ382-22-222222i−2i2-22-22-22-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i-1-1-1-1111100-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-111111111i−ii−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i00000000000000000-22−2i2i-11-11−ii−ii00
χ392-22-222222i−2i2-22-22-22-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32001+i321+i321+i321+i321−i321−i321−i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32ζ11−ζ11ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7000000000000000002-22i−2i−1−i321+i32−1+i321−i32ζ11−ζ11ζ7−ζ700
χ402-22-222222i−2i2-22-22-22-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32001+i321+i321+i321+i321−i321−i321−i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32ζ11−ζ11ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ700000000000000000-22−2i2i1+i32−1−i321−i32−1+i32−ζ11ζ11−ζ7ζ700
χ412-22-222222i−2i2-22-22-22-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32001−i321−i321−i321−i321+i321+i321+i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32ζ7−ζ7ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11000000000000000002-22i−2i−1+i321−i32−1−i321+i32ζ7−ζ7ζ11−ζ1100
χ422-22-222222i−2i2-22-22-22-2-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32001−i321−i321−i321−i321+i321+i321+i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32ζ7−ζ7ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ1100000000000000000-22−2i2i1−i32−1+i321+i32−1−i32−ζ7ζ7−ζ11ζ1100
χ432-22-22222−2i2i2-22-22-22-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i-1-1-1-1111100-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-111111111−ii−ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000000000000002-2−2i2i1-11-1−ii−ii00
χ442-22-22222−2i2i2-22-22-22-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i-1-1-1-1111100-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-111111111−ii−ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii00000000000000000-222i−2i-11-11i−ii−i00
χ452-22-22222−2i2i2-22-22-22-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32001+i321+i321+i321+i321−i321−i321−i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7000000000000000002-2−2i2i−1−i321+i32−1+i321−i32−ζ11ζ11−ζ7ζ700
χ462-22-22222−2i2i2-22-22-22-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32001+i321+i321+i321+i321−i321−i321−i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ700000000000000000-222i−2i1+i32−1−i321−i32−1+i32ζ11−ζ11ζ7−ζ700
χ472-22-22222−2i2i2-22-22-22-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32001−i321−i321−i321−i321+i321+i321+i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11000000000000000002-2−2i2i−1+i321−i32−1−i321+i32−ζ7ζ7−ζ11ζ1100
χ482-22-22222−2i2i2-22-22-22-2-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32001−i321−i321−i321−i321+i321+i321+i321+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ1100000000000000000-222i−2i1−i32−1+i321+i32−1−i32ζ7−ζ7ζ11−ζ1100
χ492-2-22222200-2-2-2-2-2-2-2-22222000000000000000022-2-222-2-22-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000002-22-22-22-200000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.