Finite Group Databasebeta

← Group #13141703

Character table — Group #13141703

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11222223333444444444666666666666888888999999121212121212121212121212121212121212121212181818181818181818242424242424242424242424242424242424363636363636363636363636363636363636
order1223446336644688881212669991212121218181812122424242444121212121212121218181824242424242424243636363636362246666121236363636363672727272727272727272727222666688882424242424242424
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
χ311111111111111-1-1-1-11111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111-1-1111-1-111111111111111-1-111-1-1111111-1-1-1-11111111-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111-1-1111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-1-11111
χ711111111111-1-11-1-11111111111111111-1-1-1-111111111-1-1-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ811111111111-1-11-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1
χ91111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ101111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-11+i321+i321−i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ111111111−1−i32−1+i32−1−i32−1+i32111-1-1-1-111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211-1-1-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ121111111−1−i32−1+i32−1−i32−1+i32111-1-1-1-111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211-1-1-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-11+i321+i321−i321−i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ131111111−1−i32−1+i32−1−i32−1+i32-1-1111-1-111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-111-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ141111111−1−i32−1+i32−1−i32−1+i32-1-1111-1-111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-111-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-11+i321+i321−i321−i321+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ151111111−1−i32−1+i32−1−i32−1+i32-1-11-1-11111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32-1-1111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ161111111−1−i32−1+i32−1−i32−1+i32-1-11-1-11111−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-111-1-11+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-11+i321+i321−i321−i321+i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ171111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ181111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-11−i321−i321+i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ191111111−1+i32−1−i32−1+i32−1−i32111-1-1-1-111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211-1-1-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ201111111−1+i32−1−i32−1+i32−1−i32111-1-1-1-111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211-1-1-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-11−i321−i321+i321+i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ211111111−1+i32−1−i32−1+i32−1−i32-1-1111-1-111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-111-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ221111111−1+i32−1−i32−1+i32−1−i32-1-1111-1-111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-111-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-11−i321−i321+i321+i321−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ231111111−1+i32−1−i32−1+i32−1−i32-1-11-1-11111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32-1-1111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ241111111−1+i32−1−i32−1+i32−1−i32-1-11-1-11111−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-111-1-11−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-11−i321−i321+i321+i321−i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ251111-1-1111111-11i−ii−i-1-111111-1-1-1-11111-1i−ii−i1111111-11-1111i−ii−ii−ii−i-1-1-1-1-1-1-1-11-1-1-1-1111-11-11-1i−ii−ii−ii−ii−ii−i1-11-11-1i−ii−ii−ii−ii−ii−i
χ261111-1-1111111-11i−ii−i-1-111111-1-1-1-11111-1i−ii−i-1-1-1-1-1-11-11-1111i−ii−ii−ii−i-1-1-1-1-1-111-11111-1-11-11-11-1i−ii−ii−ii−ii−ii−i-11-11-11−ii−ii−ii−ii−ii−ii
χ271111-1-1111111-11−ii−ii-1-111111-1-1-1-11111-1−ii−ii1111111-11-1111−ii−ii−ii−ii-1-1-1-1-1-1-1-11-1-1-1-1111-11-11-1−ii−ii−ii−ii−ii−ii1-11-11-1−ii−ii−ii−ii−ii−ii
χ281111-1-1111111-11−ii−ii-1-111111-1-1-1-11111-1−ii−ii-1-1-1-1-1-11-11-1111−ii−ii−ii−ii-1-1-1-1-1-111-11111-1-11-11-11-1−ii−ii−ii−ii−ii−ii-11-11-11i−ii−ii−ii−ii−ii−i
χ291111-1-111111-111i−i−ii-1-111111-1-1-1-1111-11i−i−ii111111-11-11111i−ii−i−ii−ii-1-1-1-1-1-1-1-11-1-1-1-111-11-11-11i−ii−ii−i−ii−ii−ii-11-11-11i−i−iii−ii−i−ii−ii
χ301111-1-111111-111i−i−ii-1-111111-1-1-1-1111-11i−i−ii-1-1-1-1-1-1-11-11111i−ii−i−ii−ii-1-1-1-1-1-111-11111-1-1-11-11-11i−ii−ii−i−ii−ii−ii1-11-11-1−iii−i−ii−iii−ii−i
χ311111-1-111111-111−iii−i-1-111111-1-1-1-1111-11−iii−i111111-11-11111−ii−iii−ii−i-1-1-1-1-1-1-1-11-1-1-1-111-11-11-11−ii−ii−iii−ii−ii−i-11-11-11−iii−i−ii−iii−ii−i
χ321111-1-111111-111−iii−i-1-111111-1-1-1-1111-11−iii−i-1-1-1-1-1-1-11-11111−ii−iii−ii−i-1-1-1-1-1-111-11111-1-1-11-11-11−ii−ii−iii−ii−ii−i1-11-11-1i−i−iii−ii−i−ii−ii
χ331111-1-11−1−i32−1+i32−1−i32−1+i321-11i−ii−i-1-1−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321-1i−ii−i11−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i321−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ7-1-11+i321+i321−i321−i32-1-111+i321+i321−i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ7i−iζ11−ζ11ζ7−ζ71-1−1−i321+i32−1+i321−i32i−ii−iζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ7
χ341111-1-11−1−i32−1+i32−1−i32−1+i321-11i−ii−i-1-1−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321-1i−ii−i-1-11+i321+i321−i321−i32−1−i321+i32−1+i321−i321−1−i32−1+i32ζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ7-1-11+i321+i321−i321−i3211-1−1−i32−1−i32−1+i32−1+i321+i321−i321-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ7i−iζ11−ζ11ζ7−ζ7-111+i32−1−i321−i32−1+i32−ii−ii−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ7
χ351111-1-11−1−i32−1+i32−1−i32−1+i321-11−ii−ii-1-1−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321-1−ii−ii11−1−i32−1−i32−1+i32−1+i32−1−i321+i32−1+i321−i321−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ7-1-11+i321+i321−i321−i32-1-111+i321+i321−i321−i32−1−i32−1+i321-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ7−ii−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32−ii−ii−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ7
χ361111-1-11−1−i32−1+i32−1−i32−1+i321-11−ii−ii-1-1−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i321-1−ii−ii-1-11+i321+i321−i321−i32−1−i321+i32−1+i321−i321−1−i32−1+i32−ζ11ζ11−ζ7ζ7−ζ11ζ11−ζ7ζ7-1-11+i321+i321−i321−i3211-1−1−i32−1−i32−1+i32−1+i321+i321−i321-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ7−ii−ζ11ζ11−ζ7ζ7-111+i32−1−i321−i32−1+i32i−ii−iζ11−ζ11ζ7−ζ7ζ11−ζ11ζ7−ζ7
χ371111-1-11−1−i32−1+i32−1−i32−1+i32-111i−i−ii-1-1−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-11i−i−ii11−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i321−1−i32−1+i32ζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7-1-11+i321+i321−i321−i32-1-111+i321+i321−i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ7−ii−ζ11ζ11−ζ7ζ7-111+i32−1−i321−i32−1+i32i−i−iiζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7
χ381111-1-11−1−i32−1+i32−1−i32−1+i32-111i−i−ii-1-1−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-11i−i−ii-1-11+i321+i321−i321−i321+i32−1−i321−i32−1+i321−1−i32−1+i32ζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7-1-11+i321+i321−i321−i3211-1−1−i32−1−i32−1+i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ7−ii−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32−iii−i−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7
χ391111-1-11−1−i32−1+i32−1−i32−1+i32-111−iii−i-1-1−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-11−iii−i11−1−i32−1−i32−1+i32−1+i321+i32−1−i321−i32−1+i321−1−i32−1+i32−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7-1-11+i321+i321−i321−i32-1-111+i321+i321−i321−i32−1−i32−1+i32-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ7i−iζ11−ζ11ζ7−ζ7-111+i32−1−i321−i32−1+i32−iii−i−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7
χ401111-1-11−1−i32−1+i32−1−i32−1+i32-111−iii−i-1-1−1−i32−1+i321−1−i32−1+i321+i321+i321−i321−i321−1−i32−1+i32-11−iii−i-1-11+i321+i321−i321−i321+i32−1−i321−i32−1+i321−1−i32−1+i32−ζ11ζ11−ζ7ζ7ζ11−ζ11ζ7−ζ7-1-11+i321+i321−i321−i3211-1−1−i32−1−i32−1+i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ7i−iζ11−ζ11ζ7−ζ71-1−1−i321+i32−1+i321−i32i−i−iiζ11−ζ11ζ7−ζ7−ζ11ζ11−ζ7ζ7
χ411111-1-11−1+i32−1−i32−1+i32−1−i321-11i−ii−i-1-1−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321-1i−ii−i11−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i321−1+i32−1−i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ11-1-11−i321−i321+i321+i32-1-111−i321−i321+i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ11i−iζ7−ζ7ζ11−ζ111-1−1+i321−i32−1−i321+i32i−ii−iζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ11
χ421111-1-11−1+i32−1−i32−1+i32−1−i321-11i−ii−i-1-1−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321-1i−ii−i-1-11−i321−i321+i321+i32−1+i321−i32−1−i321+i321−1+i32−1−i32ζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ11-1-11−i321−i321+i321+i3211-1−1+i32−1+i32−1−i32−1−i321−i321+i321-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ11i−iζ7−ζ7ζ11−ζ11-111−i32−1+i321+i32−1−i32−ii−ii−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11
χ431111-1-11−1+i32−1−i32−1+i32−1−i321-11−ii−ii-1-1−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321-1−ii−ii11−1+i32−1+i32−1−i32−1−i32−1+i321−i32−1−i321+i321−1+i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11-1-11−i321−i321+i321+i32-1-111−i321−i321+i321+i32−1+i32−1−i321-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ111-1−1+i321−i32−1−i321+i32−ii−ii−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11
χ441111-1-11−1+i32−1−i32−1+i32−1−i321-11−ii−ii-1-1−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i321-1−ii−ii-1-11−i321−i321+i321+i32−1+i321−i32−1−i321+i321−1+i32−1−i32−ζ7ζ7−ζ11ζ11−ζ7ζ7−ζ11ζ11-1-11−i321−i321+i321+i3211-1−1+i32−1+i32−1−i32−1−i321−i321+i321-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ11−ii−ζ7ζ7−ζ11ζ11-111−i32−1+i321+i32−1−i32i−ii−iζ7−ζ7ζ11−ζ11ζ7−ζ7ζ11−ζ11
χ451111-1-11−1+i32−1−i32−1+i32−1−i32-111i−i−ii-1-1−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-11i−i−ii11−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i321−1+i32−1−i32ζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11-1-11−i321−i321+i321+i32-1-111−i321−i321+i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ11−ii−ζ7ζ7−ζ11ζ11-111−i32−1+i321+i32−1−i32i−i−iiζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11
χ461111-1-11−1+i32−1−i32−1+i32−1−i32-111i−i−ii-1-1−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-11i−i−ii-1-11−i321−i321+i321+i321−i32−1+i321+i32−1−i321−1+i32−1−i32ζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11-1-11−i321−i321+i321+i3211-1−1+i32−1+i32−1−i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ11−ii−ζ7ζ7−ζ11ζ111-1−1+i321−i32−1−i321+i32−iii−i−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ11
χ471111-1-11−1+i32−1−i32−1+i32−1−i32-111−iii−i-1-1−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-11−iii−i11−1+i32−1+i32−1−i32−1−i321−i32−1+i321+i32−1−i321−1+i32−1−i32−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ11-1-11−i321−i321+i321+i32-1-111−i321−i321+i321+i32−1+i32−1−i32-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ11i−iζ7−ζ7ζ11−ζ11-111−i32−1+i321+i32−1−i32−iii−i−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ11
χ481111-1-11−1+i32−1−i32−1+i32−1−i32-111−iii−i-1-1−1+i32−1−i321−1+i32−1−i321−i321−i321+i321+i321−1+i32−1−i32-11−iii−i-1-11−i321−i321+i321+i321−i32−1+i321+i32−1−i321−1+i32−1−i32−ζ7ζ7−ζ11ζ11ζ7−ζ7ζ11−ζ11-1-11−i321−i321+i321+i3211-1−1+i32−1+i32−1−i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ11i−iζ7−ζ7ζ11−ζ111-1−1+i321−i32−1−i321+i32i−i−iiζ7−ζ7ζ11−ζ11−ζ7ζ7−ζ11ζ11
χ492222222222222222222222-1-1-12222-1-1-12222220000002222-1-1-122222222-1-1-1-1-1-1000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ5022222222222222-2-2-2-22222-1-1-12222-1-1-122-2-2-2-20000002222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1000000000-1-1-1-1-1-1111111111111000000000000000000
χ5122222222222-2-2222-2-22222-1-1-12222-1-1-1-2-222-2-2000000-2-2-2-2-1-1-12222-2-2-2-2-1-1-1-1-1-1000000000111111-1-1-1-1-1-1111111000000000000000000
χ5222222222222-2-22-2-2222222-1-1-12222-1-1-1-2-2-2-222000000-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-1-1-1000000000111111111111-1-1-1-1-1-1000000000000000000
χ532222222−1−i3−1+i3−1−i3−1+i3222222222−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32222222000000−1−i3−1−i3−1+i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32000000000-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32000000000000000000
χ542222222−1−i3−1+i3−1−i3−1+i3222-2-2-2-222−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i3222-2-2-2-2000000−1−i3−1−i3−1+i3−1+i3-11+i321−i321+i31+i31−i31−i31+i31+i31−i31−i3-1-11+i321+i321−i321−i32000000000-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
χ552222222−1−i3−1+i3−1−i3−1+i3-2-2222-2-222−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32-2-222-2-20000001+i31+i31−i31−i3-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3-1-11+i321+i321−i321−i3200000000011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32000000000000000000
χ562222222−1−i3−1+i3−1−i3−1+i3-2-22-2-22222−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1+i3−1+i3-11+i321−i32-2-2-2-2220000001+i31+i31−i31−i3-11+i321−i321+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i3200000000011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32000000000000000000
χ572222222−1+i3−1−i3−1+i3−1−i3222222222−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i32222222000000−1+i3−1+i3−1−i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32000000000-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32000000000000000000
χ582222222−1+i3−1−i3−1+i3−1−i3222-2-2-2-222−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i3222-2-2-2-2000000−1+i3−1+i3−1−i3−1−i3-11−i321+i321−i31−i31+i31+i31−i31−i31+i31+i3-1-11−i321−i321+i321+i32000000000-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
χ592222222−1+i3−1−i3−1+i3−1−i3-2-2222-2-222−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i32-2-222-2-20000001−i31−i31+i31+i3-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3-1-11−i321−i321+i321+i3200000000011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32000000000000000000
χ602222222−1+i3−1−i3−1+i3−1−i3-2-22-2-22222−1+i3−1−i3-11−i321+i32−1+i3−1+i3−1−i3−1−i3-11−i321+i32-2-2-2-2220000001−i31−i31+i31+i3-11−i321+i321−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i3200000000011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32000000000000000000
χ612222-2-2222222-222i−2i2i−2i-2-222-1-1-1-2-2-2-2-1-1-12-22i−2i2i−2i0000002-22-2-1-1-12i−2i2i−2i2i−2i2i−2i111111000000000-11-11-11−ii−ii−ii−ii−ii−ii000000000000000000
χ622222-2-2222222-22−2i2i−2i2i-2-222-1-1-1-2-2-2-2-1-1-12-2−2i2i−2i2i0000002-22-2-1-1-1−2i2i−2i2i−2i2i−2i2i111111000000000-11-11-11i−ii−ii−ii−ii−ii−i000000000000000000
χ632222-2-222222-2222i−2i−2i2i-2-222-1-1-1-2-2-2-2-1-1-1-222i−2i−2i2i000000-22-22-1-1-12i−2i2i−2i−2i2i−2i2i1111110000000001-11-11-1−ii−ii−iii−ii−ii−i000000000000000000
χ642222-2-222222-222−2i2i2i−2i-2-222-1-1-1-2-2-2-2-1-1-1-22−2i2i2i−2i000000-22-22-1-1-1−2i2i−2i2i2i−2i2i−2i1111110000000001-11-11-1i−ii−ii−i−ii−ii−ii000000000000000000
χ652222-2-22−1−i3−1+i3−1−i3−1+i32-222i−2i2i−2i-2-2−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i322-22i−2i2i−2i000000−1−i31+i3−1+i31−i3-11+i321−i322ζ11−2ζ112ζ7−2ζ72ζ11−2ζ112ζ7−2ζ711−1−i32−1−i32−1+i32−1+i32000000000-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ7−ii−ζ11ζ11−ζ7ζ7000000000000000000
χ662222-2-22−1−i3−1+i3−1−i3−1+i32-22−2i2i−2i2i-2-2−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i322-2−2i2i−2i2i000000−1−i31+i3−1+i31−i3-11+i321−i32−2ζ112ζ11−2ζ72ζ7−2ζ112ζ11−2ζ72ζ711−1−i32−1−i32−1+i32−1+i32000000000-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ7i−iζ11−ζ11ζ7−ζ7000000000000000000
χ672222-2-22−1−i3−1+i3−1−i3−1+i3-2222i−2i−2i2i-2-2−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i32-222i−2i−2i2i0000001+i3−1−i31−i3−1+i3-11+i321−i322ζ11−2ζ112ζ7−2ζ7−2ζ112ζ11−2ζ72ζ711−1−i32−1−i32−1+i32−1+i320000000001-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ7i−iζ11−ζ11ζ7−ζ7000000000000000000
χ682222-2-22−1−i3−1+i3−1−i3−1+i3-222−2i2i2i−2i-2-2−1−i3−1+i3-11+i321−i321+i31+i31−i31−i3-11+i321−i32-22−2i2i2i−2i0000001+i3−1−i31−i3−1+i3-11+i321−i32−2ζ112ζ11−2ζ72ζ72ζ11−2ζ112ζ7−2ζ711−1−i32−1−i32−1+i32−1+i320000000001-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ7−ii−ζ11ζ11−ζ7ζ7000000000000000000
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χ11024-240-1200120000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.