Finite Group Databasebeta

← Group #180708

Character table — Group #180708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444244444444444444488888888888824
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-111-1-11-11-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-1-111-1-11-11-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1
χ911111111111111-1-1-1-11-1-11-11-111-11-111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-11-1-11-11-111-11-1-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-1-1-11-11-111-1111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-11-1-1-11-11-111-11-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-1111-1-111-1-1-1111-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-1-1111-1-111-1-1-11-1-11111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-111-111-1-1-111-111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-111-111-1-1-111-1-1-11111-1-111-1-1-11
χ17222222222-2-2-2-222-2-2222-200000-200000000000000000
χ18222222222-2-2-2-222-2-22-2-2200000200000000000000000
χ19222222222-2-2-2-22-222-22-2200000-200000000000000000
χ20222222222-2-2-2-22-222-2-22-200000200000000000000000
χ2122222222-222-2-2-222-2-2000002-2000-2200000000000000
χ2222222222-222-2-2-222-2-200000-220002-200000000000000
χ2322222222-222-2-2-2-2-2220000022000-2-200000000000000
χ2422222222-222-2-2-2-2-22200000-2-20002200000000000000
χ2522222222-2-2-222-22-22-20002200-20-20000000000000000
χ2622222222-2-2-222-22-22-2000-2-2002020000000000000000
χ2722222222-2-2-222-2-22-220002-200-2020000000000000000
χ2822222222-2-2-222-2-22-22000-220020-20000000000000000
χ294-444-4-44-40004-400000000000000000002i2−2i20000000000
χ304-444-4-44-40004-40000000000000000000−2i22i20000000000
χ314-444-4-44-4000-44000000000000000002i2−2i2000000000000
χ324-444-4-44-4000-4400000000000000000−2i22i2000000000000
χ334-44-44-4-4440000-4000000000000000000002i2−2i200000000
χ344-44-44-4-4440000-400000000000000000000−2i22i200000000
χ354-44-44-4-44-400004000000000000000000000022−22000000
χ364-44-44-4-44-4000040000000000000000000000−2222000000
χ374-4-4-4444-404-4000000000000000000000000000002i2−2i200
χ384-4-4-4444-404-400000000000000000000000000000−2i22i200
χ394-4-4-4444-40-440000000000000000000000000002i2−2i20000
χ404-4-4-4444-40-44000000000000000000000000000−2i22i20000
χ41888-8-88-8-8000000000000000000000000000000000000
χ4288-888-8-8-8000000000000000000000000000000000000
χ4388-8-8-8-888000000000000000000000000000000000000
χ448-8-88-88-88000000000000000000000000000000000000

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