Finite Group Databasebeta

← Group #1665

Character table — Group #1665

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29
size1111222222224444444444488881616
order12224444888822444888888888824
χ111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1
χ3111111111111-1-11-1-111-1-1-1-11111-1-1
χ4111111111111-1-11-1-111-1-1-1-1-1-1-1-111
χ511111111-1-1-1-111111-1-1-1-1-1-111-1-11-1
χ611111111-1-1-1-111111-1-1-1-1-1-1-1-111-11
χ711111111-1-1-1-1-1-11-1-1-1-1111111-1-1-11
χ811111111-1-1-1-1-1-11-1-1-1-11111-1-1111-1
χ922222-2-22222200-200-2-20000000000
χ1022222-2-22-2-2-2-200-200220000000000
χ112222-222-2000022-2-2-2000000000000
χ122222-222-20000-2-2-222000000000000
χ132222-2-2-2-2000000200002i2i−2i−2i000000
χ142222-2-2-2-200000020000−2i−2i2i2i000000
χ1522-2-202-20i2i2−i2−i20002i−2ii2−i22−22−2000000
χ1622-2-202-20i2i2−i2−i2000−2i2ii2−i2−22−22000000
χ1722-2-202-20−i2−i2i2i20002i−2i−i2i2−22−22000000
χ1822-2-202-20−i2−i2i2i2000−2i2i−i2i22−22−2000000
χ1922-2-20-220i2i2−i2−i22-2000−i2i2i2−i2−i2i2000000
χ2022-2-20-220i2i2−i2−i2-22000−i2i2−i2i2i2−i2000000
χ2122-2-20-220−i2−i2i2i22-2000i2−i2−i2i2i2−i2000000
χ2222-2-20-220−i2−i2i2i2-22000i2−i2i2−i2−i2i2000000
χ232-2-22-20022-22-2000000000002−22−200
χ242-2-22-20022-22-200000000000−22−2200
χ252-2-22-2002-22-22000000000002−2−2200
χ262-2-22-2002-22-2200000000000−222−200
χ274-44-400002i2−2i2−2i22i200000000000000000
χ284-44-40000−2i22i22i2−2i200000000000000000
χ294-4-44400-4000000000000000000000

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