Finite Group Databasebeta

← Group #138

Character table — Group #138

Order 32.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size11111111111111111111111111111111
order14242424242424242424242424242424
χ111111111111111111111111111111111
χ21i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i
χ31-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1
χ41−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i
χ51111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i
χ71-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-11
χ81−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ101i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i
χ111-11-11-11-1-11-11-11-111-11-11-11-1-11-11-11-11
χ121−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i
χ131111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ141i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i
χ151-11-1-11-11-11-111-11-11-11-1-11-11-11-111-11-1
χ161−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ181i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i-1−i1i-1−i1i
χ191-11-11-11-11-11-11-11-1-11-11-11-11-11-11-11-11
χ201−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i-1i1−i-1i1−i
χ211111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ221i-1−i-1−i1i1i-1−i-1−i1i-1−i1i1i-1−i-1−i1i1i-1−i
χ231-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-1
χ241−i-1i-1i1−i1−i-1i-1i1−i-1i1−i1−i-1i-1i1−i1−i-1i
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ261i-1−i1i-1−i-1−i1i-1−i1i-1−i1i-1−i1i1i-1−i1i-1−i
χ271-11-11-11-1-11-11-11-11-11-11-11-111-11-11-11-1
χ281−i-1i1−i-1i-1i1−i-1i1−i-1i1−i-1i1−i1−i-1i1−i-1i
χ291111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ301i-1−i-1−i1i-1−i1i1i-1−i-1−i1i1i-1−i1i-1−i-1−i1i
χ311-11-1-11-11-11-111-11-1-11-111-11-11-11-1-11-11
χ321−i-1i-1i1−i-1i1−i1−i-1i-1i1−i1−i-1i1−i-1i-1i1−i

Here i is the imaginary unit (i² = −1).