Finite Group Databasebeta

← Group #3803

Character table — Group #3803

Order 144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size112233224466336699112233224466336699
order1236443636121222664422664466661212226644
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
χ7111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ81111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ91-11-1i−i1-11-1i−i-11-11−ii1-11-1i−i1-11-1i−i-11-11−ii
χ101-11-1−ii1-11-1−ii-11-11i−i1-11-1−ii1-11-1−ii-11-11i−i
χ1122-1-10022-1-100-2-2110022-1-10022-1-100-2-21100
χ122-2-11002-2-1100-221-1002-2-11002-2-1100-221-100
χ13222222-1-1-1-1-1-1000000222222-1-1-1-1-1-1000000
χ142222-2-2-1-1-1-1110000002222-2-2-1-1-1-111000000
χ152-22-22i−2i-11-11−ii0000002-22-22i−2i-11-11−ii000000
χ162-22-2−2i2i-11-11i−i0000002-22-2−2i2i-11-11i−i000000
χ1744-2-200-2-2110000000044-2-200-2-21100000000
χ184-4-2200-221-1000000004-4-2200-221-100000000
χ19111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ201111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ211-11-1i−i1-11-1i−i1-11-1i−i-11-11−ii-11-11−ii-11-11−ii
χ221-11-1−ii1-11-1−ii1-11-1−ii-11-11i−i-11-11i−i-11-11i−i
χ2322-1-10022-1-10022-1-100-2-21100-2-21100-2-21100
χ242-2-11002-2-11002-2-1100-221-100-221-100-221-100
χ25111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ261111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ271-11-1i−i1-11-1i−i-11-11−ii-11-11−ii-11-11−ii1-11-1i−i
χ281-11-1−ii1-11-1−ii-11-11i−i-11-11i−i-11-11i−i1-11-1−ii
χ2922-1-10022-1-100-2-21100-2-21100-2-2110022-1-100
χ302-2-11002-2-1100-221-100-221-100-221-1002-2-1100
χ31222222-1-1-1-1-1-1000000-2-2-2-2-2-2111111000000
χ322222-2-2-1-1-1-111000000-2-2-2-2221111-1-1000000
χ332-22-22i−2i-11-11−ii000000-22-22−2i2i1-11-1i−i000000
χ342-22-2−2i2i-11-11i−i000000-22-222i−2i1-11-1−ii000000
χ3544-2-200-2-21100000000-4-4220022-1-100000000
χ364-4-2200-221-100000000-442-2002-2-1100000000

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