Finite Group Databasebeta

← Group #1639

Character table — Group #1639

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size111122224444444448888888816
order12224444222248888224488884
χ111111111111111111111111111
χ21111111111111-1-1-1-11111-1-1-1-1-1
χ31111111111-1-111111-1-11-111-1-1-1
χ41111111111-1-11-1-1-1-1-1-11-1-1-1111
χ511111111-1-11111111-1-1-11-1-111-1
χ611111111-1-1111-1-1-1-1-1-1-1111-1-11
χ711111111-1-1-1-11111111-1-1-1-1-1-11
χ811111111-1-1-1-11-1-1-1-111-1-11111-1
χ922222-22-20022-20000000-200000
χ1022222-22-200-2-2-20000000200000
χ112222-22-222200-2000000-2000000
χ122222-22-22-2-200-20000002000000
χ132222-2-2-2-20000200002-20000000
χ142222-2-2-2-2000020000-220000000
χ152-22-220-20002-20i2i2−i2−i2000000i2−i20
χ162-22-220-20002-20−i2−i2i2i2000000−i2i20
χ172-22-220-2000-220i2i2−i2−i2000000−i2i20
χ182-22-220-2000-220−i2−i2i2i2000000i2−i20
χ192-2-220-2022-20002−22−200002−2000
χ202-2-220-2022-2000−22−220000−22000
χ212-2-220-202-220002−22−20000−22000
χ222-2-220-202-22000−22−2200002−2000
χ2344-4-40000000002i−2i−2i2i000000000
χ2444-4-4000000000−2i2i2i−2i000000000
χ254-44-4-4040000000000000000000
χ264-4-44040-4000000000000000000

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