Finite Group Databasebeta

← Group #1628

Character table — Group #1628

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size111122224444444448888888816
order12224444444448888244488882
χ111111111111111111111111111
χ21111111111111-1-1-1-11111-1-1-1-1-1
χ31111111111-1-111111-11-1-111-1-1-1
χ41111111111-1-11-1-1-1-1-11-1-1-1-1111
χ511111111-1-111111111-1-1-1-1-111-1
χ611111111-1-1111-1-1-1-11-1-1-111-1-11
χ711111111-1-1-1-111111-1-111-1-1-1-11
χ811111111-1-1-1-11-1-1-1-1-1-1111111-1
χ922222-22-20022-20000-200000000
χ1022222-22-200-2-2-20000200000000
χ112222-22-222200-200000-20000000
χ122222-22-22-2-200-20000020000000
χ132222-2-2-2-2000020000002-200000
χ142222-2-2-2-200002000000-2200000
χ152-22-2020-22i−2i000i2i2−i2−i200002−2000
χ162-22-2020-22i−2i000−i2−i2i2i20000−22000
χ172-22-2020-2−2i2i000i2i2−i2−i20000−22000
χ182-22-2020-2−2i2i000−i2−i2i2i200002−2000
χ192-2-2220-20002i−2i02−22−2000000i2−i20
χ202-2-2220-20002i−2i0−22−22000000−i2i20
χ212-2-2220-2000−2i2i02−22−2000000−i2i20
χ222-2-2220-2000−2i2i0−22−22000000i2−i20
χ2344-4-40000000002i−2i−2i2i000000000
χ2444-4-4000000000−2i2i2i−2i000000000
χ254-44-40-404000000000000000000
χ264-4-44-4040000000000000000000

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