Finite Group Databasebeta

← Group #175533

Character table — Group #175533

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444422224422224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1111-111-1-111-1-11-111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1111-1-1-1-1-111-1-11-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111-1111-1-1-1-111-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-11-1-1-1-1-1-111-11-1-111111111-1-1-1-1
χ911111111-1-11-1-11111111-1-1-1-111111-11-11-1-1-1-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11111111-1-1-1-111-1-11-11-11-1-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-11111111-1-1-1-1-1-1111-1-11-1111-1-111-1-1-1-111-1-111
χ1211111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-11-111111-1-11111-1-111-1-1
χ1311111111-1-11-1-111111-1-111-1-11-111-111-1-11-11-1-1-1-11111-1-1-1-111
χ1411111111-1-11-1-111111-1-111-1-11-1-1-1-111-1-11-111111-1-1-1-11111-1-1
χ1511111111-1-11-1-111111-1-111-1-1-1111-11-111-11-1-1-1-1-111-1-11111-1-1
χ1611111111-1-11-1-111111-1-111-1-1-11-1-1-11-111-11-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-2200002-202000000-2-20200000000000000
χ1822222222222-2-2-2-2-2-2200002-20-2000000220-200000000000000
χ192222222222-22222-2-2-20000-2-2200000-2-2002000000000000000
χ202222222222-22222-2-2-20000-2-2-2000002200-2000000000000000
χ212222222222-2-2-2-2-222-22222-220000-2-200000000000000000000
χ222222222222-2-2-2-2-222-2-2-2-2-2-2200002200000000000000000000
χ2322222222-2-2222-2-2-2-220000-2202000000-220-200000000000000
χ2422222222-2-2222-2-2-2-220000-220-20000002-20200000000000000
χ2522222222-2-2-222-2-222-222-2-22-20000-2200000000000000000000
χ2622222222-2-2-222-2-222-2-2-2222-200002-200000000000000000000
χ2722222222-2-2-2-2-222-2-2-2000022200000-2200-2000000000000000
χ2822222222-2-2-2-2-222-2-2-2000022-2000002-2002000000000000000
χ294444-4-4-4-40004i−4i0000000000000000000000000000000002-22i−2i
χ304444-4-4-4-40004i−4i000000000000000000000000000000000-22−2i2i
χ314444-4-4-4-4000−4i4i0000000000000000000000000000000002-2−2i2i
χ324444-4-4-4-4000−4i4i000000000000000000000000000000000-222i−2i
χ334-44-444-4-4004000000-4000000000000000000000000002i2−2i20000
χ344-44-444-4-4004000000-400000000000000000000000000−2i22i20000
χ354-44-444-4-400-4000000400000000000000000000000022−22000000
χ364-44-444-4-400-40000004000000000000000000000000−2222000000
χ374-44-4-4-4444-400000000000000002-2000000002-2000000000000
χ384-44-4-4-4444-40000000000000000-2200000000-22000000000000
χ394-44-4-4-444-4400000000000000002-200000000-22000000000000
χ404-44-4-4-444-440000000000000000-22000000002-2000000000000
χ414-4-444-44-4000004-4000000000000000000000000022−2200000000
χ424-4-444-44-4000004-40000000000000000000000000−222200000000
χ434-4-444-44-400000-440000000000000000000000022−220000000000
χ444-4-444-44-400000-4400000000000000000000000−22220000000000
χ454-4-44-44-4400000004-40004-40000000000000000000000000000
χ464-4-44-44-4400000004-4000-440000000000000000000000000000
χ474-4-44-44-440000000-4404-4000000000000000000000000000000
χ484-4-44-44-440000000-440-44000000000000000000000000000000
χ4988-8-88-8-88000000000000000000000000000000000000000000
χ5088-8-8-888-8000000000000000000000000000000000000000000

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