Finite Group Databasebeta

← Group #11721502

Character table — Group #11721502

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111111122222222222222222222333333333333333366666666666666666666666666666666666666666666666666666666181818181818181818181818181818181818181818181818
order1244888823466688121212122424242424242424336612121212242424242424242433366666666666121212121212121212121212121224242424242424242424242424242424242424242424242424242424224466668888121212122424242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−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+i321111−1−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
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+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−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+i32-1-1-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
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−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+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−i321111−1+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
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−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+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−i32-1-1-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ711111111-11-1-1-11-1-1-1-1111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-11-11-111-1-111-1-1
χ811111111-11-1-1-11-1-1-1-1111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-11-11-1-111-1-111
χ911111111-11-1-1-11-1-1-1-1111111-1-1-1-1−1−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+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321-11-1−1−i321+i32−1+i321−i3211-1-1−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ1011111111-11-1-1-11-1-1-1-1111111-1-1-1-1−1−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+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-11-111+i32−1−i321−i32−1+i32-1-1111+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ1111111111-11-1-1-11-1-1-1-1111111-1-1-1-1−1+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−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321-11-1−1+i321−i32−1−i321+i3211-1-1−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ1211111111-11-1-1-11-1-1-1-1111111-1-1-1-1−1+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−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-11-111−i32−1+i321+i32−1−i32-1-1111−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ131111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ141111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ151111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1−i32−1+i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ161111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i3211111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ171111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1+i32−1−i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ181111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i3211111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ191111-1-1-1-1-11-1-1-1111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-11-1-1-1111-11-1-1-111-1-111
χ201111-1-1-1-1-11-1-1-1111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11-11-1111-1-1-11-1111-1-111-1-1
χ211111-1-1-1-1-11-1-1-1111-1-111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321-11-1−1−i321+i32−1+i321−i32-1-111−1−i321+i32−1+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ221111-1-1-1-1-11-1-1-1111-1-111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11-111+i32−1−i321−i32−1+i3211-1-11+i32−1−i321−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ231111-1-1-1-1-11-1-1-1111-1-111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321-11-1−1+i321−i32−1−i321+i32-1-111−1+i321−i32−1−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ241111-1-1-1-1-11-1-1-1111-1-111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11-111−i32−1+i321+i32−1−i3211-1-11−i32−1+i321+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ2511-1-1ii−i−i11-1111i−i-1-1-1-1ii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-1-111-11-1i−ii−i-11-11i−ii−ii−ii−i
χ2611-1-1ii−i−i11-1111i−i-1-1-1-1ii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i-111-1-11-11−ii−ii1-11-1−ii−ii−ii−ii
χ2711-1-1ii−i−i11-1111i−i-1-1-1-1ii−i−iii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32ζ22−ζ22ζ14−ζ14ii−i−iii−i−iζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141-1-11−1−i321+i32−1+i321−i32i−ii−i1+i32−1−i321−i32−1+i32ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14
χ2811-1-1ii−i−i11-1111i−i-1-1-1-1ii−i−iii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32ζ22−ζ22ζ14−ζ14ii−i−iii−i−iζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14-111-11+i32−1−i321−i32−1+i32−ii−ii−1−i321+i32−1+i321−i32−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14
χ2911-1-1ii−i−i11-1111i−i-1-1-1-1ii−i−iii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32ζ14−ζ14ζ22−ζ22ii−i−iii−i−iζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221-1-11−1+i321−i32−1−i321+i32i−ii−i1−i32−1+i321+i32−1−i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22
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χ4211-1-1−i−iii11-1111−ii-1-1-1-1−i−iii−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−ζ14ζ14−ζ22ζ22−i−iii−i−iii−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22-111-11−i32−1+i321+i32−1−i32i−ii−i−1+i321−i32−1−i321+i32ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22
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χ4811-1-1−i−iii-111-1-11i−i11-1-1−i−iiiii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221−1+i32−1−i321−i321+i32-1-11−i321−i321+i321+i321−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32ζ14−ζ14ζ22−ζ22−i−iiiii−i−i−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22-1-1111−i321−i321+i321+i32i−i−ii−1+i32−1+i32−1−i32−1−i32ζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22
χ4922222222222222222222222222222222222222222222-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ502222222222222222222222222222−1−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+i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000000000
χ512222222222222222222222222222−1+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−i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000000000
χ5222222222-22-2-2-22-2-2-2-2222222-2-2-2-22222222222222222-1-1-1-2-2111111-1-1-1-2-2111111-1-1-1-1-1-1-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000000000
χ5322222222-22-2-2-22-2-2-2-2222222-2-2-2-2−1−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+i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i31+i31−i31−i3-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ5422222222-22-2-2-22-2-2-2-2222222-2-2-2-2−1+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−i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i31−i31+i31+i3-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
χ552222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111111111000000000000000000000000
χ562222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i31+i31−i31−i311111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000
χ572222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i31−i31+i31+i311111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000000000000000
χ582222-2-2-2-2-22-2-2-2222-2-222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-1-1-1-2-2111111-1-1-1-2-2111111-1-1-1-1-1-122221111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000
χ592222-2-2-2-2-22-2-2-2222-2-222-2-2-2-22222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32-11+i321−i321+i31−i311−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i31111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000000000000000
χ602222-2-2-2-2-22-2-2-2222-2-222-2-2-2-22222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32-11−i321+i321−i31+i311−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i31111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000000000000000
χ6122-2-22i2i−2i−2i22-22222i−2i-2-2-2-22i2i−2i−2i2i2i−2i−2i2222-2-2-2-22i2i−2i−2i2i2i−2i−2i-1-1-122-1-1-1-1-1-1-1-1-1-2-21111111111112i−2i2i−2i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.