Finite Group Databasebeta

← Group #180625

Character table — Group #180625

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111111144444488881616161616161616161616161616161616161616161616163232
order12222222444444444422244444444488888888888844
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-11-1-11-1-1-11-11-11111-1-1-1-11111-1-1
χ6111111111111111111-11-1-11-1-1-11-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-11-1-1-11-111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-11-1-1-11-11-1-1-1-111111111-1-1
χ911111111111111-1-1-1-1111-1-1-11-11-1-1111-1-111-1-111-1-11-1
χ1011111111111111-1-1-1-1111-1-1-11-11-1-11-1-111-1-111-1-111-11
χ1111111111111111-1-1-1-11-1-1-1111-1-111-111-1-111-1-1-1-111-11
χ1211111111111111-1-1-1-11-1-1-1111-1-111-1-1-111-1-11111-1-11-1
χ1311111111111111-1-1-1-1-11-11-11-1111-1-111-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-1-11-11-11-1111-1-1-1-11111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-1-1111-1-11-1-111-1-11111-1-111-1-1-11
χ172222222222-2-2-2-222-2-20200-2000-202000000000000000
χ182222222222-2-2-2-222-2-20-200200020-2000000000000000
χ192222222222-2-2-2-2-2-22202002000-20-2000000000000000
χ202222222222-2-2-2-2-2-2220-200-2000202000000000000000
χ2122222222-2-222-2-22-22-2200-200-22000000000000000000
χ2222222222-2-222-2-22-22-2-2002002-2000000000000000000
χ2322222222-2-222-2-2-22-22200200-2-2000000000000000000
χ2422222222-2-222-2-2-22-22-200-20022000000000000000000
χ2522222222-2-2-2-2222-2-2200200-200020-200000000000000
χ2622222222-2-2-2-2222-2-2200-2002000-20200000000000000
χ2722222222-2-2-2-222-222-2002002000-20-200000000000000
χ2822222222-2-2-2-222-222-200-200-200020200000000000000
χ294-44-4-444-400004-4000000000000000000000000002i2−2i200
χ304-44-4-444-400004-400000000000000000000000000−2i22i200
χ314-44-4-444-40000-440000000000000000000000002i2−2i20000
χ324-44-4-444-40000-44000000000000000000000000−2i22i20000
χ334-4-44-44-44004-400000000000000000000000022−22000000
χ344-4-44-44-44004-4000000000000000000000000−2222000000
χ354-4-44-44-4400-44000000000000000000000022−2200000000
χ364-4-44-44-4400-440000000000000000000000−222200000000
χ374-4-4-44-4444-4000000000000000000000022−220000000000
χ384-4-4-44-4444-40000000000000000000000−22220000000000
χ394-4-4-44-444-440000000000000000000022−22000000000000
χ404-4-4-44-444-4400000000000000000000−2222000000000000
χ41888-8-8-8-88000000000000000000000000000000000000
χ4288-88-8-88-8000000000000000000000000000000000000
χ4388-8-888-8-8000000000000000000000000000000000000
χ448-8888-8-8-8000000000000000000000000000000000000

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