Finite Group Databasebeta

← Group #114

Character table — Group #114

Order 32.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size11111111111111111111111111111111
order14244444242444442424444424244444
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
χ51111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i
χ61i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-1
χ71-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii
χ81−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i1
χ91111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i
χ111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-11
χ121−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i
χ131111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii
χ141i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i1
χ151-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i
χ161−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-1
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
χ211111iiii-1-1-1-1−i−i−i−i-1-1-1-1−i−i−i−i1111iiii
χ221i-1−ii-1−i1-1−i1i−i1i-1-1−i1i−i1i-11i-1−ii-1−i1
χ231-11-1i−ii−i-11-11−ii−ii-11-11−ii−ii1-11-1i−ii−i
χ241−i-1ii1−i-1-1i1−i−i-1i1-1i1−i−i-1i11−i-1ii1−i-1
χ251111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ261i-1−i-1−i1i1i-1−i-1−i1i-1−i1i1i-1−i-1−i1i1i-1−i
χ271-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-1
χ281−i-1i-1i1−i1−i-1i-1i1−i-1i1−i1−i-1i-1i1−i1−i-1i
χ291111−i−i−i−i-1-1-1-1iiii-1-1-1-1iiii1111−i−i−i−i
χ301i-1−i−i1i-1-1−i1ii-1−i1-1−i1ii-1−i11i-1−i−i1i-1
χ311-11-1−ii−ii-11-11i−ii−i-11-11i−ii−i1-11-1−ii−ii
χ321−i-1i−i-1i1-1i1−ii1−i-1-1i1−ii1−i-11−i-1i−i-1i1

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