Finite Group Databasebeta

← Group #343128

Character table — Group #343128

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222224444888888888888161616161616161616161616323232323232
order12224444442444888888888888244444444444888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-111-1-1-111-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-111-1-1-111-1-1-1-111
χ5111111111111111111-1-1-1-1-1-1-1-11111-11-111-11-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-1111-11-111-11-11-1-1-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1-11111-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-111-1
χ911111111111111-1-1-1-11111-1-1-1-11-1-1111-11111-11-1-1-1-11
χ1011111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-1-111-1111-1
χ1111111111111111-1-1-1-11111-1-1-1-1-11111-11-111-11-11-1-11-1
χ1211111111111111-1-1-1-11111-1-1-1-1-111-1-11-1-1-1-11-1-1111-11
χ1311111111111111-1-1-1-1-1-1-1-111111-1-11-11111-111-11-11-1-1
χ1411111111111111-1-1-1-1-1-1-1-111111-1-1-11-1-11-11-1-1-111-111
χ1511111111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-11-1-1-11-1-1111
χ1611111111111111-1-1-1-1-1-1-1-11111-111-1111-1-11111-11-1-1-1
χ1722222222-2-2-2-2-2222-2-20000000022-20000-20000000000
χ1822222222-2-2-2-2-2222-2-200000000-2-22000020000000000
χ1922222222-2-2-2-2-22-2-222000000002-220000-20000000000
χ2022222222-2-2-2-2-22-2-22200000000-22-2000020000000000
χ21222222-2-222-22-2-20000000022-2-20000022000-2-2000000
χ22222222-2-222-22-2-20000000022-2-200000-2-200022000000
χ23222222-2-222-22-2-200000000-2-222000002-2000-22000000
χ24222222-2-222-22-2-200000000-2-22200000-220002-2000000
χ252222-2-22222-2-22-2000022-2-2000000022000-2-200000000
χ262222-2-22222-2-22-2000022-2-20000000-2-20002200000000
χ272222-2-22222-2-22-20000-2-22200000002-2000-2200000000
χ282222-2-22222-2-22-20000-2-2220000000-220002-200000000
χ29444444-4-4-4-44-44-4000000000000000000000000000000
χ304444-4-444-4-444-4-4000000000000000000000000000000
χ314444-4-4-4-4444-4-44000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000
χ334-4-4400004-400002i−2i2i−2i002i2−2i222−2200000000000000000000
χ344-4-4400004-400002i−2i2i−2i00−2i22i2−222200000000000000000000
χ354-4-4400004-40000−2i2i−2i2i002i2−2i2−222200000000000000000000
χ364-4-4400004-40000−2i2i−2i2i00−2i22i222−2200000000000000000000
χ374-4-440000-4400002i−2i−2i2i22−2200002i2−2i2000000000000000000
χ384-4-440000-4400002i−2i−2i2i−22220000−2i22i2000000000000000000
χ394-4-440000-440000−2i2i2i−2i22−220000−2i22i2000000000000000000
χ404-4-440000-440000−2i2i2i−2i−222200002i2−2i2000000000000000000
χ4188-8-8008-8000000000000000000000000000000000000
χ4288-8-800-88000000000000000000000000000000000000
χ438-88-88-800000000000000000000000000000000000000
χ448-88-8-8800000000000000000000000000000000000000

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