Finite Group Databasebeta

← Group #142913

Character table — Group #142913

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122222244448888888816161616161616161616161616161616161632323232
order1222224444224488888888448888888816161616161616164444
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-11
χ81111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1
χ922222222222222-2-22222-2-2-2-200000000000000000000
χ1022222222222222-2-2-2-2-2-2-2-22200000000000000000000
χ112222222222-2-2-2-22-200002-200000000000000000020-20
χ122222222222-2-2-2-22-200002-2000000000000000000-2020
χ132222222222-2-2-2-2-220000-22000000000000000000020-2
χ142222222222-2-2-2-2-220000-220000000000000000000-202
χ15222222-2-2-2-222-2-2000000002-200000000i2i2−i2−i2i2i2−i2−i20000
χ16222222-2-2-2-222-2-2000000002-200000000−i2−i2i2i2−i2−i2i2i20000
χ17222222-2-2-2-222-2-200000000-2200000000i2i2−i2−i2−i2−i2i2i20000
χ18222222-2-2-2-222-2-200000000-2200000000−i2−i2i2i2i2i2−i2−i20000
χ192-2-22-2222-2-22-22-20022-2-2000000000000i2−i2i2−i2i2−i2i2−i20000
χ202-2-22-2222-2-22-22-20022-2-2000000000000−i2i2−i2i2−i2i2−i2i20000
χ212-2-22-2222-2-22-22-200-2-222000000000000i2−i2i2−i2−i2i2−i2i20000
χ222-2-22-2222-2-22-22-200-2-222000000000000−i2i2−i2i2i2−i2i2−i20000
χ232-2-22-22-2-2222-2-222-20000-22000000000000002-2-220000
χ242-2-22-22-2-2222-2-222-20000-2200000000000000-222-20000
χ252-2-22-22-2-2222-2-22-2200002-200000000002-2-2200000000
χ262-2-22-22-2-2222-2-22-2200002-20000000000-222-200000000
χ272-2-22-22-2-222-222-2220000-2-20000002i2i−2i−2i000000000000
χ282-2-22-22-2-222-222-2220000-2-2000000−2i−2i2i2i000000000000
χ292-2-22-22-2-222-222-2-2-20000220022-2-20000000000000000
χ302-2-22-22-2-222-222-2-2-200002200-2-2220000000000000000
χ31444444-4-4-4-4-4-444000000000000000000000000000000
χ324444-4-44-4-440000000000000000002i−2i2i−2i000000000000
χ334444-4-44-4-44000000000000000000−2i2i−2i2i000000000000
χ344444-4-4-444-4000000000000002i−2i2i−2i0000000000000000
χ354444-4-4-444-400000000000000−2i2i−2i2i0000000000000000
χ364-4-444-44-44-4000000000000002i−2i−2i2i0000000000000000
χ374-4-444-44-44-400000000000000−2i2i2i−2i0000000000000000
χ384-4-444-4-44-440000000000000000002-2-22000000000000
χ394-4-444-4-44-44000000000000000000-222-2000000000000
χ404-4-44-4444-4-4-44-44000000000000000000000000000000
χ4188-8-800000000000022−2222−22000000000000000000000000
χ4288-8-8000000000000−2222−2222000000000000000000000000
χ438-88-800000000000022−22−2222000000000000000000000000
χ448-88-8000000000000−222222−22000000000000000000000000

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