Finite Group Databasebeta

← Group #180608

Character table — Group #180608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444244424444444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-11-1-11-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-111-11-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-111-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ911111111111111-1-1-1-11-11-11-11-11-11-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-11-11-11-11-11-11-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-1-1-1-1111-11-1111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-11-1-1-1-1111-11-11-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-11111-1-1-1-11-1111-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-1-11111-1-1-1-11-11-1-11111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-11-11-11-111-11-111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-11-11-11-111-11-1-1-11111-1-111-1-1-11
χ17222222222-2-2-2-2222-2-22-20200-20000000000000000000
χ18222222222-2-2-2-2222-2-2-220-20020000000000000000000
χ19222222222-2-2-2-22-2-222220-200-20000000000000000000
χ20222222222-2-2-2-22-2-222-2-2020020000000000000000000
χ2122222222-222-2-2-22-22-2000000002-2-2200000000000000
χ2222222222-222-2-2-22-22-200000000-222-200000000000000
χ2322222222-222-2-2-2-22-220000000022-2-200000000000000
χ2422222222-222-2-2-2-22-2200000000-2-22200000000000000
χ2522222222-2-2-222-22-2-220020-2-202000000000000000000
χ2622222222-2-2-222-22-2-2200-20220-2000000000000000000
χ2722222222-2-2-222-2-222-20020-220-2000000000000000000
χ2822222222-2-2-222-2-222-200-202-202000000000000000000
χ294-4444-4-4-440000-40000000000000000000022−2200000000
χ304-4444-4-4-440000-400000000000000000000−222200000000
χ314-4444-4-4-4-40000400000000000000000000002i2−2i2000000
χ324-4444-4-4-4-4000040000000000000000000000−2i22i2000000
χ334-44-4-444-404-40000000000000000000000000002i2−2i20000
χ344-44-4-444-404-4000000000000000000000000000−2i22i20000
χ354-44-4-444-40-44000000000000000000000000000002i2−2i200
χ364-44-4-444-40-4400000000000000000000000000000−2i22i200
χ374-4-4-44-4440004-4000000000000000000022−220000000000
χ384-4-4-44-4440004-40000000000000000000−22220000000000
χ394-4-4-44-444000-440000000000000000022−22000000000000
χ404-4-4-44-444000-4400000000000000000−2222000000000000
χ41888-8-8-8-88000000000000000000000000000000000000
χ4288-88-8-88-8000000000000000000000000000000000000
χ4388-8-888-8-8000000000000000000000000000000000000
χ448-8-88-88-88000000000000000000000000000000000000

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