Finite Group Databasebeta

← Group #5939

Character table — Group #5939

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11444461144446114444611444461144446114444611444461144446
order12336642266664226666422666642266664226666422666642266664
χ111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321
χ311−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321
χ42-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-1110
χ52-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320
χ62-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320
χ7330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1
χ81111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ911−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1
χ1011−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1
χ112-2-1-1110-2211-1-102-2-1-1110-2211-1-102-2-1-1110-2211-1-102-2-1-1110-2211-1-10
χ122-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320
χ132-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320
χ14330000-1-3-300001330000-1-3-300001330000-1-3-300001330000-1-3-300001
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1611−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1
χ1711−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1
χ182-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-1110-2211-1-10-2211-1-10
χ192-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320
χ202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320
χ21330000-1330000-1-3-300001-3-300001330000-1330000-1-3-300001-3-300001
χ221111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ2311−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321
χ2411−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321
χ252-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-1110
χ262-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320
χ272-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320
χ28330000-1-3-300001-3-300001330000-1330000-1-3-300001-3-300001330000-1
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3011−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1
χ3111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1
χ322-2-1-11102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-10-2211-1-10
χ332-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320
χ342-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320
χ35330000-1330000-1330000-1330000-1-3-300001-3-300001-3-300001-3-300001
χ361111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111
χ3711−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321
χ3811−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321
χ392-2-1-1110-2211-1-102-2-1-1110-2211-1-10-2211-1-102-2-1-1110-2211-1-102-2-1-1110
χ402-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320
χ412-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320
χ42330000-1-3-300001330000-1-3-300001-3-300001330000-1-3-300001330000-1
χ4311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ4411−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321
χ4511−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321
χ462-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-10-2211-1-102-2-1-11102-2-1-1110
χ472-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320
χ482-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320
χ49330000-1330000-1-3-300001-3-300001-3-300001-3-300001330000-1330000-1
χ501111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1
χ5111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1
χ5211−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1
χ532-2-1-1110-2211-1-10-2211-1-102-2-1-1110-2211-1-102-2-1-11102-2-1-1110-2211-1-10
χ542-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320
χ552-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320
χ56330000-1-3-300001-3-300001330000-1-3-300001330000-1330000-1-3-300001

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