Finite Group Databasebeta

← Group #11921274

Character table — Group #11921274

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444446666666666668888888888888888888888888888888888888888121212121212121212122424242424242424242424242424242436363636
order12224444344446661212121212121212121212123366666612121212121212122244888888883366666612121212121212121212121212121212121212121212121212121212121212124466121212121212242424242424242424242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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+i32111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111−1−i32−1−i32−1−i32−1−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
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+i321111-1-1-1-1-1-1-1-1−1−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1
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−i32111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111−1+i32−1+i32−1+i32−1+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
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−i321111-1-1-1-1-1-1-1-1−1+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ9111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−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+i3211111111-1-1-1-1−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1
χ10111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−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+i321111-1-1-1-11111−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-11111-1-1-1-11+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-111
χ11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+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−i3211111111-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1
χ12111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+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−i321111-1-1-1-11111−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-11111-1-1-1-11−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-111
χ131111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−i1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−i
χ141111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii
χ151111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111ii−i−iii−i−i−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321-1-1-11111-1-1ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14i−ii−i
χ161111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111−i−iii−i−iii−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321-1-1-11111-1-1−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ii−ii
χ171111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111ii−i−iii−i−i−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321-1-1-11111-1-1ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22i−ii−i
χ181111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111−i−iii−i−iii−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321-1-1-11111-1-1−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ii−ii
χ191111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ201111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ211111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111ii−i−i−i−iii−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11-1-111-1-111ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14i−i−ii
χ221111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111−i−iiiii−i−i−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11-1-111-1-111−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−iii−i
χ231111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111ii−i−i−i−iii−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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11-1-111-1-111ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22i−i−ii
χ241111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111−i−iiiii−i−i−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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11-1-111-1-111−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−iii−i
χ2522222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222200000000-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000000000
χ2622222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i32222000000001+i321−i321+i321+i321+i321−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3222-1-1-1-1-1-1-1-100000000000000000000
χ2722222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i32222000000001−i321+i321−i321−i321−i321+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3222-1-1-1-1-1-1-1-100000000000000000000
χ2822222222-1-2-2-2-2-1-1-1-1-1-1-1111111112222222222222222222200000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-2-1-1-1-1111100000000000000000000
χ2922222222-1-2-2-2-2-1-1-1-1-1-1-111111111−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i32222000000001+i321−i321+i321+i321+i321−i321−i321−i321+i31+i31+i31+i31−i31−i31−i31−i31+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-2-2-1-1-1-1111100000000000000000000
χ3022222222-1-2-2-2-2-1-1-1-1-1-1-111111111−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i32222000000001−i321+i321−i321−i321−i321+i321+i321+i321−i31−i31−i31−i31+i31+i31+i31+i31−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-2-2-1-1-1-1111100000000000000000000
χ312222-2-2-2-2-122-2-2-1-1-11111-1-1-1-1111122222222-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-111111111-1-1-1-111112-211-1-1-1-11100000000000000000000
χ322222-2-2-2-2-122-2-2-1-1-11111-1-1-1-11111−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-2-222000000001+i321−i321+i321+i321+i321−i321−i321−i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i322-211-1-1-1-11100000000000000000000
χ332222-2-2-2-2-122-2-2-1-1-11111-1-1-1-11111−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3-2-222000000001−i321+i321−i321−i321−i321+i321+i321+i32−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i322-211-1-1-1-11100000000000000000000
χ342222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-122222222-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-1-1-1-1-1-2-222-2-22211111111-1-1-1-111111111-1-1-1-1-2211-1-111-1-100000000000000000000
χ352222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-2-222000000001+i321−i321+i321+i321+i321−i321−i321−i321+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-2211-1-111-1-100000000000000000000
χ362222-2-2-2-2-1-2-222-1-1-111111111-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3-2-222000000001−i321+i321−i321−i321−i321+i321+i321+i321−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-2211-1-111-1-100000000000000000000
χ3722-2-222-2-2200002-2-222-2-200000000222-2-22-2-22222-2-2-2-22-22-200000000222-2-22-2-20000000022-2-20000000022-2-200000000002-22-2000000000000000000000000
χ3822-2-222-2-2200002-2-222-2-200000000−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i32-22-200000000−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i300000000−1−i3−1−i31+i31+i300000000−1+i3−1+i31−i31−i300000000002-22-2000000000000000000000000
χ3922-2-222-2-2200002-2-222-2-200000000−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i32-22-200000000−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i300000000−1+i3−1+i31−i31−i300000000−1−i3−1−i31+i31+i300000000002-22-2000000000000000000000000
χ4022-2-222-2-2-10000-111-1-11133−3−333−3−3222-2-22-2-22222-2-2-2-22-22-200000000-1-1-111-11100000000-1-11133−3−333−3−3-1-11133−3−333−3−300-11-113−33−300000000000000000000
χ4122-2-222-2-2-10000-111-1-11133−3−333−3−3−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i32-22-2000000001+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32000000001+i321+i32−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ221−i321−i32−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200-11-113−33−300000000000000000000
χ4222-2-222-2-2-10000-111-1-11133−3−333−3−3−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i32-22-2000000001−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32000000001−i321−i32−1+i32−1+i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ221+i321+i32−1−i32−1−i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200-11-113−33−300000000000000000000
χ4322-2-222-2-2-10000-111-1-111−3−333−3−333222-2-22-2-22222-2-2-2-22-22-200000000-1-1-111-11100000000-1-111−3−333−3−333-1-111−3−333−3−33300-11-11−33−3300000000000000000000
χ4422-2-222-2-2-10000-111-1-111−3−333−3−333−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i32-22-2000000001+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32000000001+i321+i32−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ221−i321−i32−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ2200-11-11−33−3300000000000000000000
χ4522-2-222-2-2-10000-111-1-111−3−333−3−333−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i32-22-2000000001−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32000000001−i321−i32−1+i32−1+i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ221+i321+i32−1−i32−1−i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ2200-11-11−33−3300000000000000000000
χ4622-2-2-2-222200002-2-2-2-22200000000222-2-22-2-2-2-2-2-22222-222-200000000222-2-22-2-200000000-2-22200000000-2-2220000000000-222-2000000000000000000000000
χ4722-2-2-2-222200002-2-2-2-22200000000−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-222-200000000−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3000000001+i31+i3−1−i3−1−i3000000001−i31−i3−1+i3−1+i30000000000-222-2000000000000000000000000
χ4822-2-2-2-222200002-2-2-2-22200000000−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-222-200000000−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3000000001−i31−i3−1+i3−1+i3000000001+i31+i3−1−i3−1−i30000000000-222-2000000000000000000000000
χ4922-2-2-2-222-10000-11111-1-133−3−3−3−333222-2-22-2-2-2-2-2-22222-222-200000000-1-1-111-1110000000011-1-133−3−3−3−33311-1-133−3−3−3−333001-1-113−3−3300000000000000000000
χ5022-2-2-2-222-10000-11111-1-133−3−3−3−333−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-222-2000000001+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i3200000000−1−i32−1−i321+i321+i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−1+i32−1+i321−i321−i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22001-1-113−3−3300000000000000000000
χ5122-2-2-2-222-10000-11111-1-133−3−3−3−333−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-222-2000000001−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i3200000000−1+i32−1+i321−i321−i32−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−1−i32−1−i321+i321+i322ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22001-1-113−3−3300000000000000000000
χ5222-2-2-2-222-10000-11111-1-1−3−33333−3−3222-2-22-2-2-2-2-2-22222-222-200000000-1-1-111-1110000000011-1-1−3−33333−3−311-1-1−3−33333−3−3001-1-11−333−300000000000000000000
χ5322-2-2-2-222-10000-11111-1-1−3−33333−3−3−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-222-2000000001+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i3200000000−1−i32−1−i321+i321+i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−1+i32−1+i321−i321−i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22001-1-11−333−300000000000000000000
χ5422-2-2-2-222-10000-11111-1-1−3−33333−3−3−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-222-2000000001−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i3200000000−1+i32−1+i321−i321−i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−1−i32−1−i321+i321+i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22001-1-11−333−300000000000000000000
χ552-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22-22i−2i2i−2i-1-111-111-1i−ii−ii−ii−i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-1-111-111-11-1i−i1-1i−ii−ii−i1-11-1i−ii−ii−ii−i1-11-1i−ii−i0000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ130000
χ562-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22-22i−2i2i−2i-1-111-111-1i−ii−ii−ii−i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-1-111-111-11-1i−i1-1i−ii−ii−i1-11-1i−ii−ii−ii−i1-11-1i−ii−i0000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ130000
χ572-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22-22i−2i2i−2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ1400002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i321+i32ζ22−ζ22−1+i321−i32ζ14−ζ14ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ140000000000−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5−ζ23ζ23ζ5−ζ50000
χ582-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22-22i−2i2i−2i1+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ140000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1−i321+i32ζ22−ζ22−1+i321−i32ζ14−ζ14ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ140000000000ζ7−ζ7−ζ13ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5ζ23−ζ23−ζ5ζ50000
χ592-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22-22i−2i2i−2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ2200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i321−i32ζ14−ζ14−1−i321+i32ζ22−ζ22ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ220000000000−ζ23ζ23ζ5−ζ5−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ13−ζ130000
χ602-22-22i−2i2i−2i22-22i−2i-22-22i−2i2i−2i2-22-22i−2i2i−2i1−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ220000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1+i321−i32ζ14−ζ14−1−i321+i32ζ22−ζ22ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ220000000000ζ23−ζ23−ζ5ζ5ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13ζ7−ζ7−ζ13ζ130000
χ612-22-22i−2i2i−2i2-22−2i2i-22-22i−2i2i−2i-22-22−2i2i−2i2i-1-111-111-1i−ii−ii−ii−i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-1-111-111-1-11−ii-11−iii−ii−i-11-11−ii−iii−ii−i-11-11−ii−ii0000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ130000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.