Finite Group Databasebeta

← Group #72222824

Character table — Group #72222824

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111113333333344888888888888121216161616161616161616161616161616161616161616242424242424242432323232323232323232323232323232323232323232323248484848484848484848484864646464646464646464646464646464
order1222222222222222442222222222224433444444666666666666664444444466666666666666666666666622444444444412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111−1−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+i32−1+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+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
χ311111111111111111111111111111111−1+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−i32−1−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−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
χ41111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-1-1-1-1-111−1−i32−1+i3211-1-1-1-1−1−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+i3211111111−1−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−i321−i321−i321−i32-1-1-1-111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ61111111111111111111111-1-1-1-1-1-1-1-111−1+i32−1−i3211-1-1-1-1−1+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−i3211111111−1+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+i321+i321+i321+i32-1-1-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ7111111111111111111-1-1-1-11111-1-1-1-11111-1-111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-1
χ8111111111111111111-1-1-1-11111-1-1-1-111−1−i32−1+i32-1-111-1-1−1−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+i32111111111+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−i321−i321−i321−i32-1-1-1-1-1-111-1-111−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ9111111111111111111-1-1-1-11111-1-1-1-111−1+i32−1−i32-1-111-1-1−1+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−i32111111111−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+i321+i321+i321+i32-1-1-1-1-1-111-1-111−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ11111111111111111111-1-1-1-1-1-1-1-1111111−1−i32−1+i32-1-1-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111111+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+i32−1+i32−1+i32−1+i321111-1-1-1-1-1-1-1-1−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ12111111111111111111-1-1-1-1-1-1-1-1111111−1+i32−1−i32-1-1-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111111−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−i32−1−i32−1−i32−1−i321111-1-1-1-1-1-1-1-1−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ131111111111111111-1-1111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-11111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ141111111111111111-1-1111111111111-1-1−1−i32−1+i32-1-1-1-1-1-1−1−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+i32-1-1-1-11111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-111-1-1-1-111111+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ151111111111111111-1-1111111111111-1-1−1+i32−1−i32-1-1-1-1-1-1−1+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−i32-1-1-1-11111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-111-1-1-1-111111−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ161111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ171111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32-1-11111−1−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+i32-1-1-1-11111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i3211-1-1-1-11111-1-11+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ181111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32-1-11111−1+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−i32-1-1-1-11111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i3211-1-1-1-11111-1-11−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ191111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111
χ201111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1−1−i32−1+i3211-1-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111111+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−i321−i321−i321−i3211-1-111-1-1-1-1111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ211111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1−1+i32−1−i3211-1-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111111−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+i321+i321+i321+i3211-1-111-1-1-1-1111−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ221111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ231111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1−1−i32−1+i321111-1-1−1−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+i32-1-1-1-111111+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+i32−1+i32−1+i32−1+i32-1-1111111-1-1-1-11+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ241111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1−1+i32−1−i321111-1-1−1+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−i32-1-1-1-111111−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−i32−1−i32−1−i32−1−i32-1-1111111-1-1-1-11−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ252222-2-2-2-22-2-2-2222-22i−2i22-2-222-2-222-2-22i−2i-1-12i−2i2i−2i2i−2i-1-1-1-1-1-1111111110000000011-1-111-1-111-1-111-1-111-1-111-1-1000000000000i−ii−ii−ii−ii−ii−ii−ii−i
χ262222-2-2-2-22-2-2-2222-22i−2i22-2-222-2-222-2-22i−2i1+i321−i322i−2i2i−2i2i−2i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32000000000000ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ272222-2-2-2-22-2-2-2222-22i−2i22-2-222-2-222-2-22i−2i1−i321+i322i−2i2i−2i2i−2i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32000000000000ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ282222-2-2-2-22-2-2-2222-22i−2i22-2-2-2-222-2-2222i−2i-1-12i−2i−2i2i−2i2i-1-1-1-1-1-1111111110000000011-1-1-1-111-1-11111-1-1-1-111-1-111000000000000i−ii−i−ii−iii−ii−i−ii−ii
χ292222-2-2-2-22-2-2-2222-22i−2i22-2-2-2-222-2-2222i−2i1+i321−i322i−2i−2i2i−2i2i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000000000000ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ302222-2-2-2-22-2-2-2222-22i−2i22-2-2-2-222-2-2222i−2i1−i321+i322i−2i−2i2i−2i2i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000000000ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11
χ312222-2-2-2-22-2-2-2222-22i−2i-2-22222-2-2-2-2222i−2i-1-1−2i2i2i−2i−2i2i-1-1-1-1-1-11111111100000000-1-11111-1-1-1-111-1-11111-1-1-1-111000000000000i−i−iii−i−iii−i−iii−i−ii
χ322222-2-2-2-22-2-2-2222-22i−2i-2-22222-2-2-2-2222i−2i1+i321−i32−2i2i2i−2i−2i2i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000000000000ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7
χ332222-2-2-2-22-2-2-2222-22i−2i-2-22222-2-2-2-2222i−2i1−i321+i32−2i2i2i−2i−2i2i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000000000000ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11
χ342222-2-2-2-22-2-2-2222-22i−2i-2-222-2-22222-2-22i−2i-1-1−2i2i−2i2i2i−2i-1-1-1-1-1-11111111100000000-1-111-1-11111-1-1-1-111-1-11111-1-1000000000000i−i−ii−iii−ii−i−ii−iii−i
χ352222-2-2-2-22-2-2-2222-22i−2i-2-222-2-22222-2-22i−2i1+i321−i32−2i2i−2i2i2i−2i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000000000ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7
χ362222-2-2-2-22-2-2-2222-22i−2i-2-222-2-22222-2-22i−2i1−i321+i32−2i2i−2i2i2i−2i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000000000ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11
χ372222-2-2-2-22-2-2-2222-2−2i2i22-2-222-2-222-2-2−2i2i-1-1−2i2i−2i2i−2i2i-1-1-1-1-1-1111111110000000011-1-111-1-111-1-111-1-111-1-111-1-1000000000000−ii−ii−ii−ii−ii−ii−ii−ii
χ382222-2-2-2-22-2-2-2222-2−2i2i22-2-222-2-222-2-2−2i2i1+i321−i32−2i2i−2i2i−2i2i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32000000000000−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ392222-2-2-2-22-2-2-2222-2−2i2i22-2-222-2-222-2-2−2i2i1−i321+i32−2i2i−2i2i−2i2i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32000000000000−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ402222-2-2-2-22-2-2-2222-2−2i2i22-2-2-2-222-2-222−2i2i-1-1−2i2i2i−2i2i−2i-1-1-1-1-1-1111111110000000011-1-1-1-111-1-11111-1-1-1-111-1-111000000000000−ii−iii−ii−i−ii−iii−ii−i
χ412222-2-2-2-22-2-2-2222-2−2i2i22-2-2-2-222-2-222−2i2i1+i321−i32−2i2i2i−2i2i−2i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32000000000000−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7
χ422222-2-2-2-22-2-2-2222-2−2i2i22-2-2-2-222-2-222−2i2i1−i321+i32−2i2i2i−2i2i−2i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32000000000000−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11
χ432222-2-2-2-22-2-2-2222-2−2i2i-2-22222-2-2-2-222−2i2i-1-12i−2i−2i2i2i−2i-1-1-1-1-1-11111111100000000-1-11111-1-1-1-111-1-11111-1-1-1-111000000000000−iii−i−iii−i−iii−i−iii−i
χ442222-2-2-2-22-2-2-2222-2−2i2i-2-22222-2-2-2-222−2i2i1+i321−i322i−2i−2i2i2i−2i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000001+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000000000000−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ452222-2-2-2-22-2-2-2222-2−2i2i-2-22222-2-2-2-222−2i2i1−i321+i322i−2i−2i2i2i−2i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000001−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000000000000−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11
χ462222-2-2-2-22-2-2-2222-2−2i2i-2-222-2-22222-2-2−2i2i-1-12i−2i2i−2i−2i2i-1-1-1-1-1-11111111100000000-1-111-1-11111-1-1-1-111-1-11111-1-1000000000000−iii−ii−i−ii−iii−ii−i−ii
χ472222-2-2-2-22-2-2-2222-2−2i2i-2-222-2-22222-2-2−2i2i1+i321−i322i−2i2i−2i−2i2i1+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000001+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000000000−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7
χ482222-2-2-2-22-2-2-2222-2−2i2i-2-222-2-22222-2-2−2i2i1−i321+i322i−2i2i−2i−2i2i1−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000001−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000000000−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11
χ4922-2-22-2-2222-2-22-2-2200000000002-22-200220000002-2-22-2-222-2-222-2-2000022-2-2000000002-22-2000000002-22-2002-2000000000000000000000000
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χ5222-2-22-2-2222-2-22-2-220000000000-22-2200220000002-2-22-2-222-2-222-2-2000022-2-200000000-22-2200000000-22-2200-22000000000000000000000000
χ5322-2-22-2-2222-2-22-2-220000000000-22-2200−1−i3−1+i3000000−1−i31+i31+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3000022-2-2000000001+i3−1−i31+i3−1−i3000000001−i3−1+i31−i3−1+i300-22000000000000000000000000
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χ552-22-2-22-222-22-2-22-220000002-22-200000022000000-22-2-22-22-22-22-22-200002-22-200002-22-2000000002-22-2000000000000002-20000000000000000
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χ582-22-2-22-222-22-2-22-22000000-22-2200000022000000-22-2-22-22-22-22-22-200002-22-20000-22-2200000000-22-2200000000000000-220000000000000000
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χ1031212-12-1212-12-1212-4-444-444-40000000000000000000000000000000000000044-4-400000000000000000000000000000000000000000000000000000000
χ1041212-12-1212-12-1212-4-444-444-400000000000000000000000000000000000000-4-44400000000000000000000000000000000000000000000000000000000
χ1051212-12-12-121212-12-44-4-4-444400000000000000000000000000000000000000000000000000000000000000000000004-400000000000000000000000000
χ1061212-12-12-121212-12-44-4-4-44440000000000000000000000000000000000000000000000000000000000000000000000-4400000000000000000000000000
χ10712-1212-1212-1212-12-4-44-44-44400000000000000000000000000000000000000000000000000000000000000000000000000004-400000000000000000000
χ10812-1212-1212-1212-12-4-44-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000-4400000000000000000000
χ10912-1212-12-1212-1212-44-444-44-4000000000000000000000000000000000000004-44-400000000000000000000000000000000000000000000000000000000
χ11012-1212-12-1212-1212-44-444-44-400000000000000000000000000000000000000-44-4400000000000000000000000000000000000000000000000000000000
χ11112-12-12121212-12-12-4-4-4444-44000000000000000000000000000000000000000000000000000000000000000000000000004-40000000000000000000000
χ11212-12-12121212-12-12-4-4-4444-4400000000000000000000000000000000000000000000000000000000000000000000000000-440000000000000000000000
χ11312-12-1212-12-121212-444-444-4-4000000000000000000000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ11412-12-1212-12-121212-444-444-4-400000000000000000000000000000000000000-444-400000000000000000000000000000000000000000000000000000000

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