Finite Group Databasebeta

← Group #5941

Character table — Group #5941

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11114444444466111144444444661111444444446611114444444466
order124433661212121224224466661212121224224466661212121224224466661212121224
χ111111111111111111111111111111111111111111111111111111111
χ21111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ31111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ411-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11
χ511-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11
χ611-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11
χ72-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00
χ82-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700
χ92-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100
χ102-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00
χ112-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700
χ122-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100
χ13333300000000-1-1333300000000-1-1333300000000-1-1333300000000-1-1
χ1433-3-3000000001-133-3-3000000001-133-3-3000000001-133-3-3000000001-1
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
χ161111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1
χ171111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1
χ1811-1-11111-1-1-1-1-11-1-111-1-1-1-111111-111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1
χ1911-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ2011-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ212-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii00
χ222-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700
χ232-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100
χ242-2−2i2i-1-111−ii−ii00-222i−2i11-1-1i−ii−i002-2−2i2i-1-111−ii−ii00-222i−2i11-1-1i−ii−i00
χ252-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700
χ262-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100
χ27333300000000-1-1-3-3-3-30000000011333300000000-1-1-3-3-3-30000000011
χ2833-3-3000000001-1-3-33300000000-1133-3-3000000001-1-3-33300000000-11
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
χ301111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1
χ311111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1
χ3211-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1-1-111-1-1-1-111111-1
χ3311-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1
χ3411-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1
χ352-22i−2i-1-111i−ii−i002-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii00
χ362-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700
χ372-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100
χ382-2−2i2i-1-111−ii−ii002-2−2i2i-1-111−ii−ii00-222i−2i11-1-1i−ii−i00-222i−2i11-1-1i−ii−i00
χ392-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700
χ402-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100
χ41333300000000-1-1333300000000-1-1-3-3-3-30000000011-3-3-3-30000000011
χ4233-3-3000000001-133-3-3000000001-1-3-33300000000-11-3-33300000000-11
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
χ441111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211
χ451111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211
χ4611-1-11111-1-1-1-1-11-1-111-1-1-1-111111-1-1-111-1-1-1-111111-111-1-11111-1-1-1-1-11
χ4711-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11
χ4811-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i321-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11
χ492-22i−2i-1-111i−ii−i00-22−2i2i11-1-1−ii−ii00-22−2i2i11-1-1−ii−ii002-22i−2i-1-111i−ii−i00
χ502-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ700-22−2i2i−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7002-22i−2i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ700
χ512-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ1100-22−2i2i−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11002-22i−2i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ1100
χ522-2−2i2i-1-111−ii−ii00-222i−2i11-1-1i−ii−i00-222i−2i11-1-1i−ii−i002-2−2i2i-1-111−ii−ii00
χ532-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ700-222i−2i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7002-2−2i2i1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ700
χ542-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ1100-222i−2i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11002-2−2i2i1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ1100
χ55333300000000-1-1-3-3-3-30000000011-3-3-3-30000000011333300000000-1-1
χ5633-3-3000000001-1-3-33300000000-11-3-33300000000-1133-3-3000000001-1

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