Finite Group Databasebeta

← Group #3720

Character table — Group #3720

Order 144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size112233112233224466224466336699336699
order12364422664436361212666612124412124444121244
χ1111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
χ31-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i
χ41-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii
χ522-1-10022-1-10022-1-10022-1-10022-1-10022-1-100
χ62-2-11002-2-11002-2-11002-2-11002-2-11002-2-1100
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ81111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111
χ91-11-1i−i1-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii-11-11−ii
χ101-11-1−ii1-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i-11-11i−i
χ1122-1-10022-1-10022-1-10022-1-100-2-21100-2-21100
χ122-2-11002-2-11002-2-11002-2-1100-221-100-221-100
χ13111111-1-1-1-1-1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−i
χ141111-1-1-1-1-1-1111111-1-1-1-1-1-111iiii−i−i−i−i−i−iii
χ151-11-1i−i-11-11−ii1-11-1i−i-11-11−iii−ii−i-11−ii−ii1-1
χ161-11-1−ii-11-11i−i1-11-1−ii-11-11i−ii−ii−i1-1−ii−ii-11
χ1722-1-100-2-2110022-1-100-2-211002i2i−i−i00−2i−2iii00
χ182-2-1100-221-1002-2-1100-221-1002i−2i−ii00−2i2ii−i00
χ19111111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii
χ201111-1-1-1-1-1-1111111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i
χ211-11-1i−i-11-11−ii1-11-1i−i-11-11−ii−ii−ii1-1i−ii−i-11
χ221-11-1−ii-11-11i−i1-11-1−ii-11-11i−i−ii−ii-11i−ii−i1-1
χ2322-1-100-2-2110022-1-100-2-21100−2i−2iii002i2i−i−i00
χ242-2-1100-221-1002-2-1100-221-100−2i2ii−i002i−2i−ii00
χ25222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ262222-2-22222-2-2-1-1-1-111-1-1-1-111000000000000
χ272-22-22i−2i2-22-22i−2i-11-11−ii-11-11−ii000000000000
χ282-22-2−2i2i2-22-2−2i2i-11-11i−i-11-11i−i000000000000
χ2944-2-20044-2-200-2-21100-2-21100000000000000
χ304-4-22004-4-2200-221-100-221-100000000000000
χ31222222-2-2-2-2-2-2-1-1-1-1-1-1111111000000000000
χ322222-2-2-2-2-2-222-1-1-1-1111111-1-1000000000000
χ332-22-22i−2i-22-22−2i2i-11-11−ii1-11-1i−i000000000000
χ342-22-2−2i2i-22-222i−2i-11-11i−i1-11-1−ii000000000000
χ3544-2-200-4-42200-2-2110022-1-100000000000000
χ364-4-2200-442-200-221-1002-2-1100000000000000

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