Finite Group Databasebeta

← Group #11921333

Character table — Group #11921333

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222222244444444444444446666666666668888888888888888888888888888888888888888121212121212121212122424242424242424242424242424242436363636
order12224444366688881212121224242424242424243366666612121212121212122244444488883366666612121212121212122424242424242424242424242424242424242424242424246688121224242424121212121212121224242424242424244488
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
χ7111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ8111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ9111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−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+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−i3211-1-111-1-1-1-1−1−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
χ10111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−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+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−i3211-1-111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-111
χ11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+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−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+i3211-1-111-1-1-1-1−1+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
χ12111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+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−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+i3211-1-111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-111
χ131111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−i11111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1i−i11ii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i
χ141111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iii11111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1i−i11ii−i−i-1-111-1-111−i−iii−i−iii-11−ii
χ151111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11111-1-1ii−i−i−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14-1-1i−i11ii−i−i−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141-1i−i
χ161111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111-1-111−i−iii−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14-1-1i−i11ii−i−i1+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-11−ii
χ171111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11111-1-1ii−i−i−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22-1-1i−i11ii−i−i−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221-1i−i
χ181111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111-1-111−i−iii−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22-1-1i−i11ii−i−i1−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-11−ii
χ191111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-11111-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1−ii11−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii
χ201111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−i11111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1−ii11−i−iii-1-111-1-111ii−i−iii−i−i-11i−i
χ211111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11111-1-1−i−iii−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14-1-1−ii11−i−iii−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141-1−ii
χ221111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111-1-111ii−i−i−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14-1-1−ii11−i−iii1+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-11i−i
χ231111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11111-1-1−i−iii−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22-1-1−ii11−i−iii−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221-1−ii
χ241111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111-1-111ii−i−i−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22-1-1−ii11−i−iii1−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-11i−i
χ2522222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000000000000000
χ2622222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+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+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−i32-1-122-1-1-1-1-1-100000000000000000000
χ2722222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−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−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+i32-1-122-1-1-1-1-1-100000000000000000000
χ2822222222-1-1-1-1-2-2-2-2-1-1-1-1111111112222222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-2-2-1-1111100000000000000000000
χ2922222222-1-1-1-1-2-2-2-2-1-1-1-111111111−1−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+i321+i321−i321−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32-1-1-2-2-1-1111100000000000000000000
χ3022222222-1-1-1-1-2-2-2-2-1-1-1-111111111−1+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−i321−i321+i321+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32-1-1-2-2-1-1111100000000000000000000
χ312222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii22222222-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii112i−2i-1-1−i−iii00000000000000000000
χ322222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii−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−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i322ζ222ζ22−2ζ22−2ζ222ζ142ζ14−2ζ14−2ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14112i−2i-1-1−i−iii00000000000000000000
χ332222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii−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+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i322ζ142ζ14−2ζ14−2ζ142ζ222ζ22−2ζ22−2ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22112i−2i-1-1−i−iii00000000000000000000
χ342222-2-2-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i22222222-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i11−2i2i-1-1ii−i−i00000000000000000000
χ352222-2-2-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i−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−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−2ζ22−2ζ222ζ222ζ22−2ζ14−2ζ142ζ142ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ1411−2i2i-1-1ii−i−i00000000000000000000
χ362222-2-2-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i−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+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−2ζ14−2ζ142ζ142ζ14−2ζ22−2ζ222ζ222ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ2211−2i2i-1-1ii−i−i00000000000000000000
χ3722-2-222-2-22-2-22000022-2-2000000002222-2-2-2-22222-2-2-2-22-22-20000000022-2-2-2-2222222-2-2-2-20000000000000000000000002-2002-2000000000000000000000000
χ3822-2-222-2-22-2-22000022-2-200000000−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i32-22-200000000−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i30000000000000000000000002-2002-2000000000000000000000000
χ3922-2-222-2-22-2-22000022-2-200000000−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i32-22-200000000−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i30000000000000000000000002-2002-2000000000000000000000000
χ4022-2-222-2-2-111-10000-1-11133−3−333−3−32222-2-2-2-22222-2-2-2-22-22-200000000-1-11111-1-1-1-1-1-111110000000033−3−333−3−333−3−333−3−3-1100-113−33−300000000000000000000
χ4122-2-222-2-2-111-10000-1-11133−3−333−3−3−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i32-22-2000000001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32000000002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22-1100-113−33−300000000000000000000
χ4222-2-222-2-2-111-10000-1-11133−3−333−3−3−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i32-22-2000000001−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200000000−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22-1100-113−33−300000000000000000000
χ4322-2-222-2-2-111-10000-1-111−3−333−3−3332222-2-2-2-22222-2-2-2-22-22-200000000-1-11111-1-1-1-1-1-1111100000000−3−333−3−333−3−333−3−333-1100-11−33−3300000000000000000000
χ4422-2-222-2-2-111-10000-1-111−3−333−3−333−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i32-22-2000000001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200000000−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22-1100-11−33−3300000000000000000000
χ4522-2-222-2-2-111-10000-1-111−3−333−3−333−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i32-22-2000000001−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200000000ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22-1100-11−33−3300000000000000000000
χ4622-2-2-2-2222-2-220000-2-222000000002222-2-2-2-2-2-2-2-22222-222-20000000022-2-2-2-222-2-2-2-22222000000000000000000000000-22002-2000000000000000000000000
χ4722-2-2-2-2222-2-220000-2-22200000000−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-222-200000000−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3000000000000000000000000-22002-2000000000000000000000000
χ4822-2-2-2-2222-2-220000-2-22200000000−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-222-200000000−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3000000000000000000000000-22002-2000000000000000000000000
χ4922-2-2-2-222-111-1000011-1-1−i3−i3i3i3i3i3−i3−i32222-2-2-2-2-2-2-2-22222-222-200000000-1-11111-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i31-100-11−i3i3i3−i300000000000000000000
χ5022-2-2-2-222-111-1000011-1-1−i3−i3i3i3i3i3−i3−i3−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-222-2000000001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3200000000−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i323+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i321-100-11−i3i3i3−i300000000000000000000
χ5122-2-2-2-222-111-1000011-1-1−i3−i3i3i3i3i3−i3−i3−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-222-2000000001−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32000000003+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i32−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i321-100-11−i3i3i3−i300000000000000000000
χ5222-2-2-2-222-111-1000011-1-1i3i3−i3−i3−i3−i3i3i32222-2-2-2-2-2-2-2-22222-222-200000000-1-11111-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i31-100-11i3−i3−i3i300000000000000000000
χ5322-2-2-2-222-111-1000011-1-1i3i3−i3−i3−i3−i3i3i3−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-222-2000000001+i321−i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32000000003−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i32−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i321-100-11i3−i3−i3i300000000000000000000
χ5422-2-2-2-222-111-1000011-1-1i3i3−i3−i3−i3−i3i3i3−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-222-2000000001−i321+i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3200000000−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i323−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i321-100-11i3−i3−i3i300000000000000000000
χ552-22-22i−2i2i−2i22-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13-1-1111-11-1i−ii−ii−ii−i00002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-1-11-11-111i−ii−ii−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300000000001-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ130000
χ562-22-22i−2i2i−2i22-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13-1-1111-11-1i−ii−ii−ii−i0000-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-1-11-11-111i−ii−ii−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ130000000000-11−ii-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ130000
χ572-22-22i−2i2i−2i22-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ131+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ1400002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ14−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7−ζ7ζ7ζ13−ζ13ζ13−ζ13−ζ23ζ23−ζ23ζ23ζ5−ζ5ζ5−ζ50000000000−1−i321+i32ζ22−ζ22−1+i321−i32ζ14−ζ14−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ50000
χ582-22-22i−2i2i−2i22-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ131+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ140000-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131+i321−i32−1−i321+i32−1+i321−i32−1−i32−1+i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ14−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5−ζ7ζ7−ζ7ζ7ζ13−ζ13ζ13−ζ13−ζ23ζ23−ζ23ζ23ζ5−ζ5ζ5−ζ500000000001+i32−1−i32−ζ22ζ221−i32−1+i32−ζ14ζ14ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ50000
χ592-22-22i−2i2i−2i22-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ131−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ2200002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131−i321+i32−1+i321−i32−1−i321+i32−1+i32−1−i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ22−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13−ζ23ζ23−ζ23ζ23ζ5−ζ5ζ5−ζ5−ζ7ζ7−ζ7ζ7ζ13−ζ13ζ13−ζ130000000000−1+i321−i32ζ14−ζ14−1−i321+i32ζ22−ζ22−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ130000
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χ12266-6-666-6-6-333-30000-3-3333333−33−333333−33−330000000000000000-22-220000000000000000000000000000000000000000000000001-1001-1−33−3300000000000000000000
χ12366-6-666-6-6-333-30000-3-333−33−333333−33−3333330000000000000000-22-220000000000000000000000000000000000000000000000001-1001-13−33−300000000000000000000
χ12466-6-6-6-6666-6-660000-6-6660000000000000000000000002-2-220000000000000000000000000000000000000000000000002-200-22000000000000000000000000
χ12566-6-6-6-666-333-3000033-3-3−3i3−3i33i33i33i33i3−3i3−3i300000000000000002-2-22000000000000000000000000000000000000000000000000-11001-1i3−i3−i3i300000000000000000000
χ12666-6-6-6-666-333-3000033-3-33i33i3−3i3−3i3−3i3−3i33i33i300000000000000002-2-22000000000000000000000000000000000000000000000000-11001-1−i3i3i3−i300000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.