Finite Group Databasebeta

← Group #13141652

Character table — Group #13141652

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11222223333444444444666666666666888888999999121212121212121212121212121212121212121212181818181818181818242424242424242424242424242424242424363636363636363636363636363636363636
order1222236336624444466633366666666661212121212441212121266666666666121212121212121212124441212121212126661212121212121212121212121212122444446612121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ511111111111-1-111-1-1111111111111111-1-111-1-1111111-1-1111111111-1-11111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ711111111111-1-1-1-111111111111111111-1-1-1-111111111-1-1111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ811111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1
χ91111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−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+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ101111111−1−i32−1+i32−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111-1-11+i321+i321−i321−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+i32−1−i32−1−i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32
χ111111111−1−i32−1+i32−1−i32−1+i3211-1-1-1-11111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111−1−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+i321+i321+i321−i321−i321+i321+i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ121111111−1−i32−1+i32−1−i32−1+i3211-1-1-1-11111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1-1-11+i321+i321−i321−i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-111111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ131111111−1−i32−1+i32−1−i32−1+i32-1-111-1-11111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-111−1−i32−1−i32−1+i32−1+i321+i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-111-1-11+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ141111111−1−i32−1+i32−1−i32−1+i32-1-111-1-11111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ151111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1111+i321−i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ161111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ171111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+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−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ181111111−1+i32−1−i32−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111-1-11−i321−i321+i321+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−i32−1+i32−1+i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32
χ191111111−1+i32−1−i32−1+i32−1−i3211-1-1-1-11111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111−1+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−i321−i321−i321+i321+i321−i321−i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ201111111−1+i32−1−i32−1+i32−1−i3211-1-1-1-11111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1-1-11−i321−i321+i321+i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-111111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ211111111−1+i32−1−i32−1+i32−1−i32-1-111-1-11111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-111−1+i32−1+i32−1−i32−1−i321−i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-111-1-11−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ221111111−1+i32−1−i32−1+i32−1−i32-1-111-1-11111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ231111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1111−i321+i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ241111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ25111-1-11111111-1i−ii−i1-1-111111111-1-1-1-11-1i−ii−i11111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−i1-1-11-1-11-1-1111-1-1-1i−ii−ii−ii−ii−ii−i-11i−ii−i-1-111i−ii−ii−ii−i
χ26111-1-11111111-1i−ii−i1-1-111111111-1-1-1-11-1i−ii−i-1-1-1-1-1-111111-1-1-1-1-1-1-1-1i−ii−ii−ii−i-111-111-111111-1-1-1i−ii−ii−ii−ii−ii−i1-1−ii−ii11-1-1−ii−ii−ii−ii
χ27111-1-11111111-1−ii−ii1-1-111111111-1-1-1-11-1−ii−ii11111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii1-1-11-1-11-1-1111-1-1-1−ii−ii−ii−ii−ii−ii-11−ii−ii-1-111−ii−ii−ii−ii
χ28111-1-11111111-1−ii−ii1-1-111111111-1-1-1-11-1−ii−ii-1-1-1-1-1-111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii-111-111-111111-1-1-1−ii−ii−ii−ii−ii−ii1-1i−ii−i11-1-1i−ii−ii−ii−i
χ29111-1-1111111-11i−i−ii1-1-111111111-1-1-1-1-11i−i−ii111111-1-1111-1-1-1-1-1-111i−ii−i−ii−ii1-1-11-1-11-1-1-1-1-1111i−ii−ii−i−ii−ii−ii1-1i−i−ii11-1-1i−ii−i−ii−ii
χ30111-1-1111111-11i−i−ii1-1-111111111-1-1-1-1-11i−i−ii-1-1-1-1-1-1-1-1111-1-1-1-1-1-111i−ii−i−ii−ii-111-111-111-1-1-1111i−ii−ii−i−ii−ii−ii-11−iii−i-1-111−ii−iii−ii−i
χ31111-1-1111111-11−iii−i1-1-111111111-1-1-1-1-11−iii−i111111-1-1111-1-1-1-1-1-111−ii−iii−ii−i1-1-11-1-11-1-1-1-1-1111−ii−ii−iii−ii−ii−i1-1−iii−i11-1-1−ii−iii−ii−i
χ32111-1-1111111-11−iii−i1-1-111111111-1-1-1-1-11−iii−i-1-1-1-1-1-1-1-1111-1-1-1-1-1-111−ii−iii−ii−i-111-111-111-1-1-1111−ii−ii−iii−ii−ii−i-11i−i−ii-1-111i−ii−i−ii−ii
χ33111-1-111−1−i32−1+i32−1−i32−1+i321-1i−ii−i1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321-1i−ii−i11−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ71-1-1−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ7i−iζ11−ζ11ζ7−ζ7-11i−ii−i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ7
χ34111-1-111−1−i32−1+i32−1−i32−1+i321-1i−ii−i1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321-1i−ii−i-1-11+i321+i321−i321−i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ7-1111+i32−1−i32−1−i321−i32−1+i32−1+i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ7i−iζ11−ζ11ζ7−ζ71-1−ii−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ7
χ35111-1-111−1−i32−1+i32−1−i32−1+i321-1−ii−ii1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321-1−ii−ii11−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ71-1-1−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ7−ii−ζ11ζ11−ζ7ζ7-11−ii−ii1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ7
χ36111-1-111−1−i32−1+i32−1−i32−1+i321-1−ii−ii1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321-1−ii−ii-1-11+i321+i321−i321−i32−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ7-1111+i32−1−i32−1−i321−i32−1+i32−1+i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ7−ii−ζ11ζ11−ζ7ζ71-1i−ii−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ7
χ37111-1-111−1−i32−1+i32−1−i32−1+i32-11i−i−ii1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-11i−i−ii11−1−i32−1−i32−1+i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ71-1-1−1−i321+i321+i32−1+i321−i321−i32-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7−ii−ζ11ζ11−ζ7ζ71-1i−i−ii−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7
χ38111-1-111−1−i32−1+i32−1−i32−1+i32-11i−i−ii1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-11i−i−ii-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-11+i321−i321−1−i32−1+i32i−iζ11−ζ11ζ7−ζ7−ii−ζ11ζ11−ζ7ζ7-11−iii−i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7
χ39111-1-111−1−i32−1+i32−1−i32−1+i32-11−iii−i1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-11−iii−i11−1−i32−1−i32−1+i32−1+i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ71-1-1−1−i321+i321+i32−1+i321−i321−i32-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7i−iζ11−ζ11ζ7−ζ71-1−iii−i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7
χ40111-1-111−1−i32−1+i32−1−i32−1+i32-11−iii−i1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i32-11−iii−i-1-11+i321+i321−i321−i321+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7-1111+i32−1−i32−1−i321−i32−1+i32−1+i32-11+i321−i321−1−i32−1+i32−ii−ζ11ζ11−ζ7ζ7i−iζ11−ζ11ζ7−ζ7-11i−i−ii1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7
χ41111-1-111−1+i32−1−i32−1+i32−1−i321-1i−ii−i1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321-1i−ii−i11−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ111-1-1−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11i−iζ7−ζ7ζ11−ζ11-11i−ii−i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ11
χ42111-1-111−1+i32−1−i32−1+i32−1−i321-1i−ii−i1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321-1i−ii−i-1-11−i321−i321+i321+i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ11-1111−i32−1+i32−1+i321+i32−1−i32−1−i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11i−iζ7−ζ7ζ11−ζ111-1−ii−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11
χ43111-1-111−1+i32−1−i32−1+i32−1−i321-1−ii−ii1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321-1−ii−ii11−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ111-1-1−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ11-11−ii−ii1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11
χ44111-1-111−1+i32−1−i32−1+i32−1−i321-1−ii−ii1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321-1−ii−ii-1-11−i321−i321+i321+i32−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11-1111−i32−1+i32−1+i321+i32−1−i32−1−i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ111-1i−ii−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ11
χ45111-1-111−1+i32−1−i32−1+i32−1−i32-11i−i−ii1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-11i−i−ii11−1+i32−1+i32−1−i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ111-1-1−1+i321−i321−i32−1−i321+i321+i32-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11−ii−ζ7ζ7−ζ11ζ111-1i−i−ii−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11
χ46111-1-111−1+i32−1−i32−1+i32−1−i32-11i−i−ii1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-11i−i−ii-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-11−i321+i321−1+i32−1−i32i−iζ7−ζ7ζ11−ζ11−ii−ζ7ζ7−ζ11ζ11-11−iii−i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ11
χ47111-1-111−1+i32−1−i32−1+i32−1−i32-11−iii−i1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-11−iii−i11−1+i32−1+i32−1−i32−1−i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ111-1-1−1+i321−i321−i32−1−i321+i321+i32-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11i−iζ7−ζ7ζ11−ζ111-1−iii−i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ11
χ48111-1-111−1+i32−1−i32−1+i32−1−i32-11−iii−i1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i32-11−iii−i-1-11−i321−i321+i321+i321−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ11-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-11−i321+i321−1+i32−1−i32−ii−ζ7ζ7−ζ11ζ11i−iζ7−ζ7ζ11−ζ11-11i−i−ii1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11
χ4922222222222222222222-1-1-122-1-1-1222222222200000022-1-1-1-1-1-1-1-1-12222222222000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
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χ5122222222222-2-222-2-2222-1-1-122-1-1-12222-2-222-2-2000000-2-2-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-2000000000111111-1-1-1-1-1-1111111000000000000000000
χ5222222222222-2-2-2-222222-1-1-122-1-1-12222-2-2-2-222000000-2-2-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222000000000111111111111-1-1-1-1-1-1000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.