Finite Group Databasebeta

← Group #10631304

Character table — Group #10631304

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111111111222222444444444444444444444444444444888888888888888888888888888888161616161616161616161616161616161616161616161616
order122233666666226666222222444466666666666612121212121212122222444444666666661212121212121212121212124444444412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i
χ611111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111111111111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111
χ11111111111111111111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-1-11-1111-1-111-1-1-1-111-1-111
χ12111111111111111111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-11-1-1-111-1-11111-1-111-1-1
χ13111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ171111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−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+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+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
χ181111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−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+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+i32−1−i32−1−i32−1+i32−1+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
χ191111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−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+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ201111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−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+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ211111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32ii−i−iii−i−iζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ221111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−i−iii−i−iii−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ231111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ii−i−i−i−iiiζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ241111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i3211-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−i−iiiii−i−i−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ251111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1111111-1-11+i321+i321−i321−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−i3211-1-1-1-111-1-1−1−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−i321-11-11-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ261111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1111111-1-11+i321+i321−i321−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−i3211-1-1-1-111-1-1−1−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−i32-11-11-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ271111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1111111-1-11+i321+i321−i321−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−i32-1-111-1-1-1-1111+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+i321-11-1-11-11−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ281111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1111111-1-11+i321+i321−i321−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−i32-1-111-1-1-1-1111+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+i32-11-111-11-11+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ291111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-111-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-111-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32i−i−iii−i−iiζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ301111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-111-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-111-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−iii−i−iii−i−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ311111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-111-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1111111-1-11+i321+i321−i321−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−i32i−i−ii−iii−iζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7
χ321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-111-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1111111-1-11+i321+i321−i321−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−i32−iii−ii−i−ii−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7
χ331111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+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−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−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
χ341111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+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−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−i32−1+i32−1+i32−1−i32−1−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
χ351111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+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−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ361111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+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−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ371111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32ii−i−iii−i−iζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ381111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−i−iii−i−iii−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ391111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32ii−i−i−i−iiiζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ401111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i3211-1-1-1-11111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-111111−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−i−iiiii−i−i−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ411111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1111111-1-11−i321−i321+i321+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+i3211-1-1-1-111-1-1−1+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+i321-11-11-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ421111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1111111-1-11−i321−i321+i321+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+i3211-1-1-1-111-1-1−1+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+i32-11-11-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ431111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1111111-1-11−i321−i321+i321+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+i32-1-111-1-1-1-1111−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−i321-11-1-11-11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ441111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1111111-1-11−i321−i321+i321+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+i32-1-111-1-1-1-1111−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−i32-11-111-11-11−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ451111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-111-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211-1-111-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32i−i−iii−i−iiζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ461111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-111-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211-1-111-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−iii−i−iii−i−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ471111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-111-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1111111-1-11−i321−i321+i321+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+i32i−i−ii−iii−iζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11
χ481111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-111-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1111111-1-11−i321−i321+i321+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+i32−iii−ii−i−ii−ζ7−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ11
χ492222222222222222222222-2-2-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-200002-20000000000002-22-200000000000000000000000000000000
χ5022222222222222222222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2-2-2-2-20000-22000000000000-22-2200000000000000000000000000000000
χ51222222222222222222-2-222-2-2-2-222-2-2-2-222-2-222-2-2-2-2-2-222220000-22000000000000-22-2200000000000000000000000000000000
χ52222222222222222222-2-2-2-222-2-222-2-2-2-2-2-222-2-222-2-2-2-2222200002-20000000000002-22-200000000000000000000000000000000
χ532222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i32222-2-2-2-2-2-2−1−i3−1−i3−1+i3−1+i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i31+i31−i31−i31+i31+i31−i31−i300002-2000000000000−1−i31+i3−1+i31−i300000000000000000000000000000000
χ542222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i322-2-222-2-2-2-2−1−i3−1−i3−1+i3−1+i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i30000-220000000000001+i3−1−i31−i3−1+i300000000000000000000000000000000
χ552222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3-2-222-2-2-2-2221+i31+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i30000-220000000000001+i3−1−i31−i3−1+i300000000000000000000000000000000
χ562222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3-2-2-2-222-2-2221+i31+i31−i31−i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i300002-2000000000000−1−i31+i3−1+i31−i300000000000000000000000000000000
χ572222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i32222-2-2-2-2-2-2−1+i3−1+i3−1−i3−1−i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31−i31+i31+i31−i31−i31+i31+i300002-2000000000000−1+i31−i3−1−i31+i300000000000000000000000000000000
χ582222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i322-2-222-2-2-2-2−1+i3−1+i3−1−i3−1−i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i30000-220000000000001−i3−1+i31+i3−1−i300000000000000000000000000000000
χ592222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3-2-222-2-2-2-2221−i31−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i30000-220000000000001−i3−1+i31+i3−1−i300000000000000000000000000000000
χ602222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3-2-2-2-222-2-2221−i31−i31+i31+i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i300002-2000000000000−1+i31−i3−1−i31+i300000000000000000000000000000000
χ612-2-2222-2-2-2-222-22-2-222002-22-22-20000002-22-22-22-22-22-20000002-200002-200002-22-2000000002-22-2000000000000000000000000
χ622-2-2222-2-2-2-222-22-2-222002-22-22-20000002-22-22-22-22-22-2000000-220000-220000-22-2200000000-22-22000000000000000000000000
χ632-2-2222-2-2-2-222-22-2-222002-2-22-220000002-2-222-2-22-22-2200002-200002-2002-22-2000000002-22-20000000000000000000000000000
χ642-2-2222-2-2-2-222-22-2-222002-2-22-220000002-2-222-2-22-22-220000-220000-2200-22-2200000000-22-220000000000000000000000000000
χ652-2-2222-2-2-2-222-22-2-22200-222-2-22000000-222-2-222-2-22-2200002-20000-22002-22-200000000-22-220000000000000000000000000000
χ662-2-2222-2-2-2-222-22-2-22200-222-2-22000000-222-2-222-2-22-220000-2200002-200-22-22000000002-22-20000000000000000000000000000
χ672-2-2222-2-2-2-222-22-2-22200-22-222-2000000-22-22-22-222-22-20000002-20000-2200002-22-200000000-22-22000000000000000000000000
χ682-2-2222-2-2-2-222-22-2-22200-22-222-2000000-22-22-22-222-22-2000000-2200002-20000-22-22000000002-22-2000000000000000000000000
χ692-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-221+i31−i3−1−i3−1+i3002-22-22-2000000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3−1+i31−i30000002-200002-20000−1−i31+i3−1+i31−i300000000−1−i31+i3−1+i31−i3000000000000000000000000
χ702-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-221+i31−i3−1−i3−1+i3002-22-22-2000000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3−1+i31−i3000000-220000-2200001+i3−1−i31−i3−1+i3000000001+i3−1−i31−i3−1+i3000000000000000000000000
χ712-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-221+i31−i3−1−i3−1+i3002-2-22-22000000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i31+i3−1−i31−i3−1+i300002-200002-200−1−i31+i3−1+i31−i300000000−1−i31+i3−1+i31−i30000000000000000000000000000
χ722-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-221+i31−i3−1−i3−1+i3002-2-22-22000000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i31+i3−1−i31−i3−1+i30000-220000-22001+i3−1−i31−i3−1+i3000000001+i3−1−i31−i3−1+i30000000000000000000000000000
χ732-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-221+i31−i3−1−i3−1+i300-222-2-220000001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i31+i3−1−i31−i3−1+i300002-20000-2200−1−i31+i3−1+i31−i3000000001+i3−1−i31−i3−1+i30000000000000000000000000000
χ742-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-221+i31−i3−1−i3−1+i300-222-2-220000001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i31+i3−1−i31−i3−1+i30000-2200002-2001+i3−1−i31−i3−1+i300000000−1−i31+i3−1+i31−i30000000000000000000000000000
χ752-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-221+i31−i3−1−i3−1+i300-22-222-20000001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3−1−i31+i3−1+i31−i30000002-20000-220000−1−i31+i3−1+i31−i3000000001+i3−1−i31−i3−1+i3000000000000000000000000
χ762-2-22−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-221+i31−i3−1−i3−1+i300-22-222-20000001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i3−1−i31+i3−1+i31−i3000000-2200002-200001+i3−1−i31−i3−1+i300000000−1−i31+i3−1+i31−i3000000000000000000000000
χ772-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-221−i31+i3−1+i3−1−i3002-22-22-2000000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3−1−i31+i30000002-200002-20000−1+i31−i3−1−i31+i300000000−1+i31−i3−1−i31+i3000000000000000000000000
χ782-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-221−i31+i3−1+i3−1−i3002-22-22-2000000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3−1−i31+i3000000-220000-2200001−i3−1+i31+i3−1−i3000000001−i3−1+i31+i3−1−i3000000000000000000000000
χ792-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-221−i31+i3−1+i3−1−i3002-2-22-22000000−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i31−i3−1+i31+i3−1−i300002-200002-200−1+i31−i3−1−i31+i300000000−1+i31−i3−1−i31+i30000000000000000000000000000
χ802-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-221−i31+i3−1+i3−1−i3002-2-22-22000000−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i31−i3−1+i31+i3−1−i30000-220000-22001−i3−1+i31+i3−1−i3000000001−i3−1+i31+i3−1−i30000000000000000000000000000
χ812-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-221−i31+i3−1+i3−1−i300-222-2-220000001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i31−i3−1+i31+i3−1−i300002-20000-2200−1+i31−i3−1−i31+i3000000001−i3−1+i31+i3−1−i30000000000000000000000000000
χ822-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-221−i31+i3−1+i3−1−i300-222-2-220000001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i31−i3−1+i31+i3−1−i30000-2200002-2001−i3−1+i31+i3−1−i300000000−1+i31−i3−1−i31+i30000000000000000000000000000
χ832-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-221−i31+i3−1+i3−1−i300-22-222-20000001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3−1+i31−i3−1−i31+i30000002-20000-220000−1+i31−i3−1−i31+i3000000001−i3−1+i31+i3−1−i3000000000000000000000000
χ842-2-22−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-221−i31+i3−1+i3−1−i300-22-222-20000001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i3−1+i31−i3−1−i31+i3000000-2200002-200001−i3−1+i31+i3−1−i300000000−1+i31−i3−1−i31+i3000000000000000000000000
χ85444444444444-4-4-4-4-4-4000000004-400000000000000004-44-4000000000000000000000000000000000000000000000000000000
χ86444444444444-4-4-4-4-4-400000000-440000000000000000-44-44000000000000000000000000000000000000000000000000000000
χ874444−2−2i3−2+2i3−2−2i3−2−2i3−2+2i3−2+2i3−2−2i3−2+2i3-4-42+2i32−2i32+2i32−2i3000000004-40000000000000000−2−2i32+2i3−2+2i32−2i3000000000000000000000000000000000000000000000000000000
χ884444−2−2i3−2+2i3−2−2i3−2−2i3−2+2i3−2+2i3−2−2i3−2+2i3-4-42+2i32−2i32+2i32−2i300000000-4400000000000000002+2i3−2−2i32−2i3−2+2i3000000000000000000000000000000000000000000000000000000
χ894444−2+2i3−2−2i3−2+2i3−2+2i3−2−2i3−2−2i3−2+2i3−2−2i3-4-42−2i32+2i32−2i32+2i3000000004-40000000000000000−2+2i32−2i3−2−2i32+2i3000000000000000000000000000000000000000000000000000000
χ904444−2+2i3−2−2i3−2+2i3−2+2i3−2−2i3−2−2i3−2+2i3−2−2i3-4-42−2i32+2i32−2i32+2i300000000-4400000000000000002−2i3−2+2i32+2i3−2−2i3000000000000000000000000000000000000000000000000000000
χ914-4-4444-4-4-4-4444-444-4-44-4000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-4-4-4-4444-444-4-4-4400000000-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-44−2−2i3−2+2i32+2i32+2i32−2i32−2i3−2−2i3−2+2i34-4−2−2i3−2+2i32+2i32−2i34-400000000−2−2i32+2i3−2+2i32−2i30000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-44−2−2i3−2+2i32+2i32+2i32−2i32−2i3−2−2i3−2+2i34-4−2−2i3−2+2i32+2i32−2i3-44000000002+2i3−2−2i32−2i3−2+2i30000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i34-4−2+2i3−2−2i32−2i32+2i34-400000000−2+2i32−2i3−2−2i32+2i30000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-44−2+2i3−2−2i32−2i32−2i32+2i32+2i3−2+2i3−2−2i34-4−2+2i3−2−2i32−2i32+2i3-44000000002−2i3−2+2i32+2i3−2−2i30000000000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8888-88-8-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8−4−4i3−4+4i3−4−4i34+4i3−4+4i34−4i34+4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8−4+4i3−4−4i3−4+4i34−4i3−4−4i34+4i34−4i34+4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-888-88-88-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8−4−4i3−4+4i34+4i3−4−4i34−4i3−4+4i34+4i34−4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8−4+4i3−4−4i34−4i3−4+4i34+4i3−4−4i34−4i34+4i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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