Finite Group Databasebeta

← Group #176540

Character table — Group #176540

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444422444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111-1-11-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-11-1-111111-1-1-1-11-11-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11-1-111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-11-1-1-1-11-1-1-111-1-11-111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-11-1-1-111-1-11-11-1-1-1-111111111-1-1
χ911111111-1-11-1-11111111-1-1-111-1-1-1-11-11-111-111-1-111-1-111-1-11-1
χ1011111111-1-11-1-11111111-1-1-111-1-1-1-11-11-111-1-1-111-1-111-1-111-11
χ1111111111-1-11-1-11111111-1-1-1-1-1-111-1-1111-1-1111-1-1-1-11111-1-1-11
χ1211111111-1-11-1-11111111-1-1-1-1-1-111-1-1111-1-11-1-11111-1-1-1-1111-1
χ1311111111-1-11-1-111111-1-1-11111-1-1-11-11-1-1-11111-1-111-1-1-1-111-11
χ1411111111-1-11-1-111111-1-1-11111-1-1-11-11-1-1-111-1-111-1-11111-1-11-1
χ1511111111-1-11-1-111111-1-1-111-1-1-11111-1-111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-11-1-111111-1-1-111-1-1-11111-1-111-1-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-2-2-220020022-2-2-2000020-2000000000000000
χ1822222222222-2-2-2-2-2-2200200-2-2-2220000-202000000000000000
χ192222222222-22222-2-2-222-22200-200-200-2000000000000000000
χ202222222222-22222-2-2-2-2-2-2-2-200-2002002000000000000000000
χ212222222222-2-2-2-2-222-200-2000020002-200-20200000000000000
χ222222222222-2-2-2-2-222-200-200002000-220020-200000000000000
χ2322222222-2-2222-2-2-2-2200-200222220000-20-2000000000000000
χ2422222222-2-2222-2-2-2-2200-200-2-22-2-20000202000000000000000
χ2522222222-2-2-222-2-222-20020000-20002200-20-200000000000000
χ2622222222-2-2-222-2-222-20020000-2000-2-20020200000000000000
χ2722222222-2-2-2-2-222-2-2-2222-2-200200200-2000000000000000000
χ2822222222-2-2-2-2-222-2-2-2-2-222200200-2002000000000000000000
χ294444-4-4-4-4000004-40000004-4000000000000000000000000000
χ304444-4-4-4-4000004-4000000-44000000000000000000000000000
χ314444-4-4-4-400000-440004-4000000000000000000000000000000
χ324444-4-4-4-400000-44000-44000000000000000000000000000000
χ3344-4-44-44-4004000000-4000004-40000000000000000000000000
χ3444-4-44-44-4004000000-400000-440000000000000000000000000
χ3544-4-44-44-400-40000004000000004i−4i0000000000000000000000
χ3644-4-44-44-400-4000000400000000−4i4i0000000000000000000000
χ3744-4-4-44-440004i−4i000000000000000000000002-22i−2i0000000000
χ3844-4-4-44-440004i−4i00000000000000000000000-22−2i2i0000000000
χ3944-4-4-44-44000−4i4i000000000000000000000002-2−2i2i0000000000
χ4044-4-4-44-44000−4i4i00000000000000000000000-222i−2i0000000000
χ414-44-4-444-44-40000000000000000000000000000002i−2i2i−2i000000
χ424-44-4-444-44-4000000000000000000000000000000−2i2i−2i2i000000
χ434-44-4-444-4-440000000000000000000000000000002i−2i−2i2i000000
χ444-44-4-444-4-44000000000000000000000000000000−2i2i2i−2i000000
χ454-4-44-4-44400000004-400000000000000000000000000022−220000
χ464-4-44-4-44400000004-4000000000000000000000000000−22220000
χ474-4-44-4-4440000000-440000000000000000000000000000022−2200
χ484-4-44-4-4440000000-4400000000000000000000000000000−222200
χ498-88-88-8-88000000000000000000000000000000000000000000
χ508-8-8888-8-8000000000000000000000000000000000000000000

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