Finite Group Databasebeta

← Group #144218

Character table — Group #144218

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122222244444444888888888816161616161616163232323232323232
order1222222244244488882244888888161616161616161644444444
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111
χ5111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-11-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1111-1-1
χ922222222222222-2-2-2-22222-2-2-2-2-2-20000000000000000
χ1022222222222222-2-2-2-2-2-2-2-2-2-222220000000000000000
χ1122222222-2-22-2-2-2000022-2-200000022−2−222−2−200000000
χ1222222222-2-22-2-2-2000022-2-2000000−2−222−2−22200000000
χ1322222222-2-22-2-2-20000-2-22200000022−2−2−2−22200000000
χ1422222222-2-22-2-2-20000-2-222000000−2−22222−2−200000000
χ15222222-2-222-22-2-222-2-200002-2000000000000020-20000
χ16222222-2-222-22-2-222-2-200002-20000000000000-2020000
χ17222222-2-222-22-2-2-2-2220000-220000000000000000002-2
χ18222222-2-222-22-2-2-2-2220000-22000000000000000000-22
χ192222-2-22222-2-22-222-2-20000-2200000000000020-200000
χ202222-2-22222-2-22-222-2-20000-22000000000000-20200000
χ212222-2-22222-2-22-2-2-22200002-200000000000000002-200
χ222222-2-22222-2-22-2-2-22200002-20000000000000000-2200
χ232222-2-2-2-2222-2-2222220000-2-200002-22-2000000000000
χ242222-2-2-2-2222-2-2222220000-2-20000-22-22000000000000
χ252222-2-2-2-2222-2-22-2-2-2-2000022000000002i−2i2i−2i00000000
χ262222-2-2-2-2222-2-22-2-2-2-200002200000000−2i2i−2i2i00000000
χ272222-2-2-2-2-2-2222-200000000002i2i−2i−2i2−2−22i2−i2−i2i200000000
χ282222-2-2-2-2-2-2222-200000000002i2i−2i−2i−222−2−i2i2i2−i200000000
χ292222-2-2-2-2-2-2222-20000000000−2i−2i2i2i2−2−22−i2i2i2−i200000000
χ302222-2-2-2-2-2-2222-20000000000−2i−2i2i2i−222−2i2−i2−i2i200000000
χ31444444-4-4-4-4-4-444000000000000000000000000000000
χ324444-4-444-4-4-44-44000000000000000000000000000000
χ334-4-4400004-40000004i−4i2-22-2002i−2i2i−2i0000000000000000
χ344-4-4400004-40000004i−4i-22-2200−2i2i−2i2i0000000000000000
χ354-4-4400004-4000000−4i4i2-22-200−2i2i−2i2i0000000000000000
χ364-4-4400004-4000000−4i4i-22-22002i−2i2i−2i0000000000000000
χ374-4-440000-4400004-4002-2-22002-2-220000000000000000
χ384-4-440000-4400004-400-222-200-222-20000000000000000
χ394-4-440000-440000-44002-2-2200-222-20000000000000000
χ404-4-440000-440000-4400-222-2002-2-220000000000000000
χ4188-8-8008-8000000000000000000000000000000000000
χ4288-8-800-88000000000000000000000000000000000000
χ438-88-88-800000000000000000000000000000000000000
χ448-88-8-8800000000000000000000000000000000000000

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