Finite Group Databasebeta

← Group #176451

Character table — Group #176451

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444444444444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-11-1-111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-1
χ7111111111111111111-1-11-1-11-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1
χ8111111111111111111-1-11-1-11-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1111111
χ911111111-1-1-1-111111111-1-1-1-111-1-1-11-111-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-1-11-111-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-11-1111-1-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-111-1-111-11-11-1-11111-1-1-1-1111-1
χ1311111111-1-1-1-1111111-1-1-111-111-1-11-11-11-1-1111-1-1-1-111-1-1111-1
χ1411111111-1-1-1-1111111-1-1-111-111-1-11-11-11-1-11-1-11111-1-111-1-1-11
χ1511111111-1-1-1-1111111-1-1-111-1-1-11111-1-1-111-111-1-111-1-1-1-111-11
χ1611111111-1-1-1-1111111-1-1-111-1-1-11111-1-1-111-1-1-111-1-11111-1-11-1
χ17222222222222-222-2-2-200-200-222220000-2-20000000000000000
χ18222222222222-222-2-2-200-200-2-2-2-2-20000220000000000000000
χ192222222222-2-22-2-2-2-2200-2002000002-2000-2200000000000000
χ202222222222-2-22-2-2-2-2200-200200000-220002-200000000000000
χ212222222222-2-2-2-2-222-222222-20000-200-2000000000000000000
χ222222222222-2-2-2-2-222-2-2-22-2-2-200002002000000000000000000
χ2322222222-2-2222-2-2-2-2200200-20000022000-2-200000000000000
χ2422222222-2-2222-2-2-2-2200200-200000-2-20002200000000000000
χ2522222222-2-222-2-2-222-222-2-2-220000200-2000000000000000000
χ2622222222-2-222-2-2-222-2-2-2-22220000-2002000000000000000000
χ2722222222-2-2-2-2-222-2-2-200200222-2-20000-220000000000000000
χ2822222222-2-2-2-2-222-2-2-2002002-2-22200002-20000000000000000
χ294444-4-4-4-4004-40000000000000000000000002-22-20000000000
χ304444-4-4-4-4004-4000000000000000000000000-22-220000000000
χ314444-4-4-4-400-440000000000000000000000002-2-220000000000
χ324444-4-4-4-400-44000000000000000000000000-222-20000000000
χ3344-4-44-4-444-400000000000000000000000000000000002i−2i2i−2i00
χ3444-4-44-4-444-40000000000000000000000000000000000−2i2i−2i2i00
χ3544-4-44-4-44-4400000000000000000000000000000000002i−2i−2i2i00
χ3644-4-44-4-44-440000000000000000000000000000000000−2i2i2i−2i00
χ374-44-444-4-4000004-4000000000004i−4i0000000000000000000000
χ384-44-444-4-4000004-400000000000−4i4i0000000000000000000000
χ394-44-444-4-400000-440000000004i−4i000000000000000000000000
χ404-44-444-4-400000-44000000000−4i4i000000000000000000000000
χ414-4-444-44-400000004-400004i−4i000000000000000000000000000
χ424-4-444-44-400000004-40000−4i4i000000000000000000000000000
χ434-4-444-44-40000000-4404i−4i000000000000000000000000000000
χ444-4-444-44-40000000-440−4i4i000000000000000000000000000000
χ454-4-44-44-44000040000-40000000000000000000000002i2−2i2000000
χ464-4-44-44-44000040000-4000000000000000000000000−2i22i2000000
χ474-4-44-44-440000-400004000000000000000000000022−2200000000
χ484-4-44-44-440000-4000040000000000000000000000−222200000000
χ4988-8-8-888-8000000000000000000000000000000000000000000
χ508-88-8-8-888000000000000000000000000000000000000000000

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