Finite Group Databasebeta

← Group #1624

Character table — Group #1624

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size111122224444444448888888816
order12224444444448888224488882
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
χ511111111-1-11111111-11-1-1-1-111-1
χ611111111-1-1111-1-1-1-1-11-1-111-1-11
χ711111111-1-1-1-111111-1-111-1-1-1-11
χ811111111-1-1-1-11-1-1-1-1-1-1111111-1
χ922222-22-20022-200000-20000000
χ1022222-22-200-2-2-20000020000000
χ112222-22-222200-20000-200000000
χ122222-22-22-2-200-20000200000000
χ132222-2-2-2-2000020000002-200000
χ142222-2-2-2-200002000000-2200000
χ1522-2-2020-22i−2i000i2i2−i2−i200002−2000
χ1622-2-2020-22i−2i000−i2−i2i2i20000−22000
χ1722-2-2020-2−2i2i000i2i2−i2−i20000−22000
χ1822-2-2020-2−2i2i000−i2−i2i2i200002−2000
χ192-22-220-20002i−2i0i2−i2i2−i20000002−20
χ202-22-220-20002i−2i0−i2i2−i2i2000000−220
χ212-22-220-2000−2i2i0i2−i2i2−i2000000−220
χ222-22-220-2000−2i2i0−i2i2−i2i20000002−20
χ2344-4-40-404000000000000000000
χ244-44-4-4040000000000000000000
χ254-4-440000000002-2-22000000000
χ264-4-44000000000-222-2000000000

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