Finite Group Databasebeta

← Group #1621

Character table — Group #1621

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size111122224444444448888888816
order12224444444448888222488882
χ111111111111111111111111111
χ21111111111111-1-1-1-11111-1-1-1-1-1
χ31111111111-1-1111111-1-1-111-1-1-1
χ41111111111-1-11-1-1-1-11-1-1-1-1-1111
χ511111111-1-11111111-1-1-11-1-111-1
χ611111111-1-1111-1-1-1-1-1-1-1111-1-11
χ711111111-1-1-1-111111-111-1-1-1-1-11
χ811111111-1-1-1-11-1-1-1-1-111-11111-1
χ922222-22-22200-20000-200000000
χ1022222-22-2-2-200-20000200000000
χ112222-22-220022-20000000-200000
χ122222-22-2200-2-2-20000000200000
χ132222-2-2-2-200002000002-2000000
χ142222-2-2-2-20000200000-22000000
χ1522-2-220-202i−2i00022−2−20000i2−i2000
χ1622-2-220-202i−2i000−2−2220000−i2i2000
χ1722-2-220-20−2i2i00022−2−20000−i2i2000
χ1822-2-220-20−2i2i000−2−2220000i2−i2000
χ192-2-220-202002-202−22−20000002−20
χ202-2-220-202002-20−22−22000000−220
χ212-2-220-20200-2202−22−2000000−220
χ222-2-220-20200-220−22−220000002−20
χ2344-4-4-4040000000000000000000
χ244-44-40000000002-2-22000000000
χ254-44-4000000000-222-2000000000
χ264-4-44040-4000000000000000000

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