Finite Group Databasebeta

← Group #126147

Character table — Group #126147

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111122228888881616161616161616161616161616161616161616161616163232
order12222222222244444444444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ92222222222222-2-22-2-20000220000-2-200000000000000
χ102222222222222-2-22-2-20000-2-200002200000000000000
χ11222222222222-22-2-22-200220000-2-20000000000000000
χ12222222222222-22-2-22-200-2-20000220000000000000000
χ13222222222222-2-22-2-22220000-2-2000000000000000000
χ14222222222222-2-22-2-22-2-2000022000000000000000000
χ1522-222-2-2-2-222-2-20020000002i−2i000000000022−2−2i2i2−i2−i200
χ1622-222-2-2-2-222-2-20020000002i−2i0000000000−2−222−i2−i2i2i200
χ1722-222-2-2-2-222-2-2002000000−2i2i000000000022−2−2−i2−i2i2i200
χ1822-222-2-2-2-222-2-2002000000−2i2i0000000000−2−222i2i2−i2−i200
χ192-22-22-2-22-22-2200200-22-20000000000i2i2−i2−i2i2−i2i2−i2000000
χ202-22-22-2-22-22-2200200-22-20000000000−i2−i2i2i2−i2i2−i2i2000000
χ212-22-22-2-22-22-2200200-2-220000000000i2i2−i2−i2−i2i2−i2i2000000
χ222-22-22-2-22-22-2200200-2-220000000000−i2−i2i2i2i2−i2i2−i2000000
χ232-2-2-2222-2-2-2220200-20002i−2i00000000i2−i2i2−i200002−22−200
χ242-2-2-2222-2-2-2220200-20002i−2i00000000−i2i2−i2i20000−22−2200
χ252-2-2-2222-2-2-2220200-2000−2i2i00000000i2−i2i2−i20000−22−2200
χ262-2-2-2222-2-2-2220200-2000−2i2i00000000−i2i2−i2i200002−22−200
χ2744444444-4-4-4-40000000000000000000000000000002-2
χ2844444444-4-4-4-4000000000000000000000000000000-22
χ29444-4-44-4-400000000000000002-22-22-200000000000000
χ30444-4-44-4-400000000000000002-2-22-2200000000000000
χ31444-4-44-4-40000000000000000-222-2-2200000000000000
χ32444-4-44-4-40000000000000000-22-222-200000000000000
χ3344-444-4-4-44-4-440000000000000000002-2-220000000000
χ3444-444-4-4-44-4-44000000000000000000-222-20000000000
χ3544-444-4-4-4-444-4400-40000000000000000000000000000
χ364-44-44-4-444-44-4000000000000000000000000002i−2i−2i2i00
χ374-44-44-4-444-44-400000000000000000000000000−2i2i2i−2i00
χ384-44-44-4-44-44-4400-400400000000000000000000000000
χ394-4-4-4444-444-4-400000000000000000000002i−2i−2i2i000000
χ404-4-4-4444-444-4-40000000000000000000000−2i2i2i−2i000000
χ414-4-4-4444-4-4-4440-4004000000000000000000000000000
χ4288-8-8-8-888000000000000000000000000000000000000
χ438-888-8-88-8000000000000000000000000000000000000
χ448-8-88-88-88000000000000000000000000000000000000

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