Finite Group Databasebeta

← Group #343117

Character table — Group #343117

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112222224444888888888888161616161616161616161616323232323232
order12224444442444888888888888222244444444888888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ5111111111111111111-1-1-1-1-1-1-1-1111-1111-111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1111-11-1-111-1-1-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-11111-111-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-1111-1-11
χ911111111111111-1-1-1-11111-1-1-1-11-1111-11111-1-11-1-11-1-1
χ1011111111111111-1-1-1-11111-1-1-1-11-1-1-11-1-1-1-1-1111-11-111
χ1111111111111111-1-1-1-11111-1-1-1-1-1111-1111-1-111-111-1-1-1
χ1211111111111111-1-1-1-11111-1-1-1-1-11-1-1-11-1-111-1-1-11-1111
χ1311111111111111-1-1-1-1-1-1-1-111111-11-11-11-11111-11-1-1-11
χ1411111111111111-1-1-1-1-1-1-1-111111-1-111-1-11-1-1-1-1-11111-1
χ1511111111111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1-11-111-11
χ1611111111111111-1-1-1-1-1-1-1-11111-11-11-11-1111111-1-1-11-1
χ172222222-2-22-2-22-222-2-2000000002200-2-2000000000000
χ182222222-2-22-2-22-222-2-200000000-2-20022000000000000
χ192222222-2-22-2-22-2-2-222000000002-200-22000000000000
χ202222222-2-22-2-22-2-2-22200000000-22002-2000000000000
χ2122222-2-2222-22-2-20000000022-2-2000000002-22-2000000
χ2222222-2-2222-22-2-20000000022-2-200000000-22-22000000
χ2322222-2-2222-22-2-200000000-2-222000000002-2-22000000
χ2422222-2-2222-22-2-200000000-2-22200000000-222-2000000
χ252222-22222-2-2-2-22000022-2-20000002200-2-20000000000
χ262222-22222-2-2-2-22000022-2-2000000-2-200220000000000
χ272222-22222-2-2-2-220000-2-2220000002-200-220000000000
χ282222-22222-2-2-2-220000-2-222000000-22002-20000000000
χ2944444-4-4-4-444-4-44000000000000000000000000000000
χ304444-444-4-4-444-4-4000000000000000000000000000000
χ314444-4-4-444-44-44-4000000000000000000000000000000
χ324444-4-4-4-4-4-4-4444000000000000000000000000000000
χ334-44-440000-40000002i2−2i22-22-2002i2−2i2000000000000000000
χ344-44-440000-40000002i2−2i2-22-2200−2i22i2000000000000000000
χ354-44-440000-4000000−2i22i22-22-200−2i22i2000000000000000000
χ364-44-440000-4000000−2i22i2-22-22002i2−2i2000000000000000000
χ374-44-4-400004000022−22002-2-2222−2200000000000000000000
χ384-44-4-400004000022−2200-222-2−222200000000000000000000
χ394-44-4-4000040000−2222002-2-22−222200000000000000000000
χ404-44-4-4000040000−222200-222-222−2200000000000000000000
χ4188-8-808-80000000000000000000000000000000000000
χ4288-8-80-880000000000000000000000000000000000000
χ438-8-880008-800000000000000000000000000000000000
χ448-8-88000-8800000000000000000000000000000000000

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