Finite Group Databasebeta

← Group #13057411

Character table — Group #13057411

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222224444666677777777777777777777121212121212141414141414141414141414141414141414141414141414141414141414242424242828282828282828282828282828282828282828
order122244444422447141414334444666666121212121212121228282828282822444466661212121212121212121212121212121212121212141428282244666666661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ3111111111111111111−1−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+i32−1+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−i32−1+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
χ4111111111111111111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111111-1-1-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−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−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ5111111111111111111−1+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−i32−1−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+i32−1−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
χ6111111111111111111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111111-1-1-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+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+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ71111111111-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ81111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ91111111111-1-1-1-11111−1−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+i32−1+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−i32−1+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
χ101111111111-1-1-1-11111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32111111-1-1-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ111111111111-1-1-1-11111−1+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−i32−1−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+i32−1−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
χ121111111111-1-1-1-11111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32111111-1-1-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-111111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ13111111-1-1-1-11-11-111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11-11-11-11-11-11-11-11-11-11-11-11-1
χ14111111-1-1-1-11-11-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-1-1-111-1-111-1-1-1-11-11-1-11-111-11-1-11-111-11-1-11-11
χ15111111-1-1-1-11-11-11111−1−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+i32−1+i32−1+i3211-1-1-1-1-1-111-1-11+i321+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−i321+i321+i321−i321−i321-11-11-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ16111111-1-1-1-11-11-11111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-111-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i321-11-1-11-11−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ17111111-1-1-1-11-11-11111−1+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−i32−1−i32−1−i3211-1-1-1-1-1-111-1-11−i321−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+i321−i321−i321+i321+i321-11-11-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ18111111-1-1-1-11-11-11111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-111-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i321-11-1-11-11−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ19111111-1-1-1-1-11-1111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-11-11-11-11-11-11-11-11-11-11-11-11
χ20111111-1-1-1-1-11-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1-11-111-11-1-11-111-11-1-11-111-11-1
χ21111111-1-1-1-1-11-111111−1−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+i32−1+i32−1+i3211-1-1-1-1-1-111-1-11+i321+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−i321+i321+i321−i321−i32-11-11-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ22111111-1-1-1-1-11-111111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-111-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32-11-111-11-11+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ23111111-1-1-1-1-11-111111−1+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−i32−1−i32−1−i3211-1-1-1-1-1-111-1-11−i321−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+i321−i321−i321+i321+i32-11-11-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ24111111-1-1-1-1-11-111111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-111-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32-11-111-11-11−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ251111-1-111-1-11-1-11111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11-1-11-111-11-11-1-11-11-11-111-11-1
χ261111-1-111-1-11-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-11-1-111-1-111-11-11-11-1-11-11-11-11
χ271111-1-111-1-11-1-111111−1−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+i32−1+i32−1+i32-1-111-1-1-1-1-1-1111+i321+i321−i321−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+i321−i321−i321-1-11-111-1−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32
χ281111-1-111-1-11-1-111111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-1-11111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i321-1-111-1-11−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ291111-1-111-1-11-1-111111−1+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−i32−1−i32−1−i32-1-111-1-1-1-1-1-1111−i321−i321+i321+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−i321+i321+i321-1-11-111-1−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32
χ301111-1-111-1-11-1-111111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111-1-11111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i321-1-111-1-11−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ311111-1-111-1-1-111-1111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-111-11-1-11-11-111-11-11-11-1-11-11
χ321111-1-111-1-1-111-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-11111-1-111-1-1-1-1-1-1-111-1-111-1-11-11-11-111-11-11-11-1
χ331111-1-111-1-1-111-11111−1−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+i32−1+i32−1+i32-1-111-1-1-1-1-1-1111+i321+i321−i321−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+i321−i321−i32-111-11-1-111+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i321+i32−1−i321−i32−1+i32
χ341111-1-111-1-1-111-11111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-1-11111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32-111-1-111-11+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ351111-1-111-1-1-111-11111−1+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−i32−1−i32−1−i32-1-111-1-1-1-1-1-1111−i321−i321+i321+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−i321+i321+i32-111-11-1-111−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i321−i32−1+i321+i32−1−i32
χ361111-1-111-1-1-111-11111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111-1-11111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32-111-1-111-11−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ371111-1-1-1-11111-1-1111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ381111-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ391111-1-1-1-11111-1-11111−1−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+i32−1+i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ401111-1-1-1-11111-1-11111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111-1-111111+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+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ411111-1-1-1-11111-1-11111−1+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−i32−1−i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ421111-1-1-1-11111-1-11111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111-1-111111−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−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ431111-1-1-1-111-1-111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ441111-1-1-1-111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111
χ451111-1-1-1-111-1-1111111−1−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+i32−1+i32−1+i32-1-1-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ461111-1-1-1-111-1-1111111−1−i32−1+i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111-1-111111+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+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ471111-1-1-1-111-1-1111111−1+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−i32−1−i32−1−i32-1-1-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ481111-1-1-1-111-1-1111111−1+i32−1−i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111-1-111111−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−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-1111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ4922-2-2002i−2i00000022-2-2222i2i−2i−2i2-22-2-2-22i2i−2i−2i2i2i−2i−2i002i−2i0000002-20000002i−2i002i−2i002-2002-20000000000000000000000000000
χ5022-2-2002i−2i00000022-2-222−2i−2i2i2i2-22-2-2-2−2i−2i2i2i−2i−2i2i2i002i−2i000000-220000002i−2i002i−2i00-2200-220000000000000000000000000000
χ5122-2-2002i−2i00000022-2-2−1−i3−1+i32i2i−2i−2i−1−i31+i3−1+i31−i31+i31−i32ζ112ζ11−2ζ11−2ζ112ζ72ζ7−2ζ7−2ζ7002i−2i0000002-20000002ζ11−2ζ11002ζ7−2ζ700−1−i31+i300−1+i31−i30000000000000000000000000000
χ5222-2-2002i−2i00000022-2-2−1−i3−1+i3−2i−2i2i2i−1−i31+i3−1+i31−i31+i31−i3−2ζ11−2ζ112ζ112ζ11−2ζ7−2ζ72ζ72ζ7002i−2i000000-220000002ζ11−2ζ11002ζ7−2ζ7001+i3−1−i3001−i3−1+i30000000000000000000000000000
χ5322-2-2002i−2i00000022-2-2−1+i3−1−i32i2i−2i−2i−1+i31−i3−1−i31+i31−i31+i32ζ72ζ7−2ζ7−2ζ72ζ112ζ11−2ζ11−2ζ11002i−2i0000002-20000002ζ7−2ζ7002ζ11−2ζ1100−1+i31−i300−1−i31+i30000000000000000000000000000
χ5422-2-2002i−2i00000022-2-2−1+i3−1−i3−2i−2i2i2i−1+i31−i3−1−i31+i31−i31+i3−2ζ7−2ζ72ζ72ζ7−2ζ11−2ζ112ζ112ζ11002i−2i000000-220000002ζ7−2ζ7002ζ11−2ζ11001−i3−1+i3001+i3−1−i30000000000000000000000000000
χ5522-2-200−2i2i00000022-2-2222i2i−2i−2i2-22-2-2-22i2i−2i−2i2i2i−2i−2i00−2i2i000000-22000000−2i2i00−2i2i00-2200-220000000000000000000000000000
χ5622-2-200−2i2i00000022-2-222−2i−2i2i2i2-22-2-2-2−2i−2i2i2i−2i−2i2i2i00−2i2i0000002-2000000−2i2i00−2i2i002-2002-20000000000000000000000000000
χ5722-2-200−2i2i00000022-2-2−1−i3−1+i32i2i−2i−2i−1−i31+i3−1+i31−i31+i31−i32ζ112ζ11−2ζ11−2ζ112ζ72ζ7−2ζ7−2ζ700−2i2i000000-22000000−2ζ112ζ1100−2ζ72ζ7001+i3−1−i3001−i3−1+i30000000000000000000000000000
χ5822-2-200−2i2i00000022-2-2−1−i3−1+i3−2i−2i2i2i−1−i31+i3−1+i31−i31+i31−i3−2ζ11−2ζ112ζ112ζ11−2ζ7−2ζ72ζ72ζ700−2i2i0000002-2000000−2ζ112ζ1100−2ζ72ζ700−1−i31+i300−1+i31−i30000000000000000000000000000
χ5922-2-200−2i2i00000022-2-2−1+i3−1−i32i2i−2i−2i−1+i31−i3−1−i31+i31−i31+i32ζ72ζ7−2ζ7−2ζ72ζ112ζ11−2ζ11−2ζ1100−2i2i000000-22000000−2ζ72ζ700−2ζ112ζ11001−i3−1+i3001+i3−1−i30000000000000000000000000000
χ6022-2-200−2i2i00000022-2-2−1+i3−1−i3−2i−2i2i2i−1+i31−i3−1−i31+i31−i31+i3−2ζ7−2ζ72ζ72ζ7−2ζ11−2ζ112ζ112ζ1100−2i2i0000002-2000000−2ζ72ζ700−2ζ112ζ1100−1+i31−i300−1−i31+i30000000000000000000000000000
χ612-22-22i−2i000000002-22-2222i−2i2i−2i-22-22-2-22i−2i2i−2i2i−2i2i−2i2i−2i0000002-20000002i−2i002i−2i002-2002-2000000000000000000000000000000
χ622-22-22i−2i000000002-22-222−2i2i−2i2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i2i−2i000000-220000002i−2i002i−2i00-2200-22000000000000000000000000000000
χ632-22-22i−2i000000002-22-2−1−i3−1+i32i−2i2i−2i1+i3−1−i31−i3−1+i31+i31−i32ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ72i−2i0000002-20000002ζ11−2ζ11002ζ7−2ζ700−1−i31+i300−1+i31−i3000000000000000000000000000000
χ642-22-22i−2i000000002-22-2−1−i3−1+i3−2i2i−2i2i1+i3−1−i31−i3−1+i31+i31−i3−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ72i−2i000000-220000002ζ11−2ζ11002ζ7−2ζ7001+i3−1−i3001−i3−1+i3000000000000000000000000000000
χ652-22-22i−2i000000002-22-2−1+i3−1−i32i−2i2i−2i1−i3−1+i31+i3−1−i31−i31+i32ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ112i−2i0000002-20000002ζ7−2ζ7002ζ11−2ζ1100−1+i31−i300−1−i31+i3000000000000000000000000000000
χ662-22-22i−2i000000002-22-2−1+i3−1−i3−2i2i−2i2i1−i3−1+i31+i3−1−i31−i31+i3−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ112i−2i000000-220000002ζ7−2ζ7002ζ11−2ζ11001−i3−1+i3001+i3−1−i3000000000000000000000000000000
χ672-22-2−2i2i000000002-22-2222i−2i2i−2i-22-22-2-22i−2i2i−2i2i−2i2i−2i−2i2i000000-22000000−2i2i00−2i2i00-2200-22000000000000000000000000000000
χ682-22-2−2i2i000000002-22-222−2i2i−2i2i-22-22-2-2−2i2i−2i2i−2i2i−2i2i−2i2i0000002-2000000−2i2i00−2i2i002-2002-2000000000000000000000000000000
χ692-22-2−2i2i000000002-22-2−1−i3−1+i32i−2i2i−2i1+i3−1−i31−i3−1+i31+i31−i32ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ7−2i2i000000-22000000−2ζ112ζ1100−2ζ72ζ7001+i3−1−i3001−i3−1+i3000000000000000000000000000000
χ702-22-2−2i2i000000002-22-2−1−i3−1+i3−2i2i−2i2i1+i3−1−i31−i3−1+i31+i31−i3−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ7−2i2i0000002-2000000−2ζ112ζ1100−2ζ72ζ700−1−i31+i300−1+i31−i3000000000000000000000000000000
χ712-22-2−2i2i000000002-22-2−1+i3−1−i32i−2i2i−2i1−i3−1+i31+i3−1−i31−i31+i32ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ11−2i2i000000-22000000−2ζ72ζ700−2ζ112ζ11001−i3−1+i3001+i3−1−i3000000000000000000000000000000
χ722-22-2−2i2i000000002-22-2−1+i3−1−i3−2i2i−2i2i1−i3−1+i31+i3−1−i31−i31+i3−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ11−2i2i0000002-2000000−2ζ72ζ700−2ζ112ζ1100−1+i31−i300−1−i31+i3000000000000000000000000000000
χ732-2-2200002-200002-2-22222-2-22-2-2-2-2222-2-222-2-2200002-22-200002-22-200000000000000002-22-2000000000000000000000000
χ742-2-2200002-200002-2-2222-222-2-2-2-2-222-222-2-222-200002-2-220000-22-2200000000000000002-22-2000000000000000000000000
χ752-2-2200002-200002-2-22−1−i3−1+i32-2-221+i31+i31−i31−i3−1−i3−1+i3−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300002-22-20000−1−i31+i3−1+i31−i30000000000000000−1−i31+i3−1+i31−i3000000000000000000000000
χ762-2-2200002-200002-2-22−1−i3−1+i3-222-21+i31+i31−i31−i3−1−i3−1+i31+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i300002-2-2200001+i3−1−i31−i3−1+i30000000000000000−1−i31+i3−1+i31−i3000000000000000000000000
χ772-2-2200002-200002-2-22−1+i3−1−i32-2-221−i31−i31+i31+i3−1+i3−1−i3−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i300002-22-20000−1+i31−i3−1−i31+i30000000000000000−1+i31−i3−1−i31+i3000000000000000000000000
χ782-2-2200002-200002-2-22−1+i3−1−i3-222-21−i31−i31+i31+i3−1+i3−1−i31−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300002-2-2200001−i3−1+i31+i3−1−i30000000000000000−1+i31−i3−1−i31+i3000000000000000000000000
χ792-2-220000-2200002-2-22222-2-22-2-2-2-2222-2-222-2-220000-22-220000-22-220000000000000000-22-22000000000000000000000000
χ802-2-220000-2200002-2-2222-222-2-2-2-2-222-222-2-222-20000-222-200002-22-20000000000000000-22-22000000000000000000000000
χ812-2-220000-2200002-2-22−1−i3−1+i32-2-221+i31+i31−i31−i3−1−i3−1+i3−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i30000-22-2200001+i3−1−i31−i3−1+i300000000000000001+i3−1−i31−i3−1+i3000000000000000000000000
χ822-2-220000-2200002-2-22−1−i3−1+i3-222-21+i31+i31−i31−i3−1−i3−1+i31+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i30000-222-20000−1−i31+i3−1+i31−i300000000000000001+i3−1−i31−i3−1+i3000000000000000000000000
χ832-2-220000-2200002-2-22−1+i3−1−i32-2-221−i31−i31+i31+i3−1+i3−1−i3−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i30000-22-2200001−i3−1+i31+i3−1−i300000000000000001−i3−1+i31+i3−1−i3000000000000000000000000
χ842-2-220000-2200002-2-22−1+i3−1−i3-222-21−i31−i31+i31+i3−1+i3−1−i31−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i30000-222-20000−1+i31−i3−1−i31+i300000000000000001−i3−1+i31+i3−1−i3000000000000000000000000
χ8566666666666666-1-1-1-100000000000000000000-1-1-1-1-1-1000000000000000000000000000000-1-1-1-100000000000000000000
χ866666666666-6-6-6-6-1-1-1-100000000000000000000-1-1-1-1-1-1000000000000000000000000000000111100000000000000000000
χ87666666-6-6-6-66-66-6-1-1-1-100000000000000000000-1-11111000000000000000000000000000000-11-1100000000000000000000
χ88666666-6-6-6-6-66-66-1-1-1-100000000000000000000-1-111110000000000000000000000000000001-11-100000000000000000000
χ896666-6-666-6-66-6-66-1-1-1-10000000000000000000011-1-111000000000000000000000000000000-111-100000000000000000000
χ906666-6-666-6-6-666-6-1-1-1-10000000000000000000011-1-1110000000000000000000000000000001-1-1100000000000000000000
χ916666-6-6-6-66666-6-6-1-1-1-1000000000000000000001111-1-1000000000000000000000000000000-1-11100000000000000000000
χ926666-6-6-6-666-6-666-1-1-1-1000000000000000000001111-1-100000000000000000000000000000011-1-100000000000000000000
χ931212-12-120012i−12i000000-2-2220000000000000000000000−2i2i00000000000000000000000000000000000000000000000000000000
χ941212-12-1200−12i12i000000-2-22200000000000000000000002i−2i00000000000000000000000000000000000000000000000000000000
χ9512-1212-1212i−12i00000000-22-2200000000000000000000−2i2i0000000000000000000000000000000000000000000000000000000000
χ9612-1212-12−12i12i00000000-22-22000000000000000000002i−2i0000000000000000000000000000000000000000000000000000000000
χ9712-12-1212000012-120000-222-2000000000000000000000000-22000000000000000000000000000000000000000000000000000000
χ9812-12-12120000-12120000-222-20000000000000000000000002-2000000000000000000000000000000000000000000000000000000

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