Finite Group Databasebeta

← Group #176403

Character table — Group #176403

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442244444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-11-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-11-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-111-1-1-111-1-11-11-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-111-1-1-111-1-11-11-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-111-1-1-1-1-111-111-1-11-1111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111-111-1-1-1-1-111-111-1-11-11-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-11111-1-1-11-111-1-1111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-11111-1-1-11-111-1-11-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-111-1-1111-1-11-111-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-111-1-1111-1-11-111-1-1-11111-1-111-1-1-11
χ17222222222222-2-2-2-222-222-222000000-2-2000000000000000000
χ18222222222222-2-2-2-222-2-2-2-2-2-200000022000000000000000000
χ192222222222-2-222-2-2-2-2-20020022-2-20000-220000000000000000
χ202222222222-2-222-2-2-2-2-200200-2-22200002-20000000000000000
χ212222222222-2-2-2-222-2-2200-20000002-20000-2200000000000000
χ222222222222-2-2-2-222-2-2200-2000000-2200002-200000000000000
χ2322222222-2-22222-2-2-2-2200-20022220000-2-20000000000000000
χ2422222222-2-22222-2-2-2-2200-200-2-2-2-20000220000000000000000
χ2522222222-2-222-2-222-2-2-2002000000220000-2-200000000000000
χ2622222222-2-222-2-222-2-2-2002000000-2-200002200000000000000
χ2722222222-2-2-2-2-2-2-2-2222222-2-2000000-22000000000000000000
χ2822222222-2-2-2-2-2-2-2-2222-2-22220000002-2000000000000000000
χ29444-4-4-4-4400004-40000000000004i−4i0000000000000000000000
χ30444-4-4-4-4400004-4000000000000−4i4i0000000000000000000000
χ31444-4-4-4-440000-4400000000004i−4i000000000000000000000000
χ32444-4-4-4-440000-440000000000−4i4i000000000000000000000000
χ3344-444-4-4-40000004-400000000000000000000000022−2200000000
χ3444-444-4-4-40000004-4000000000000000000000000−222200000000
χ3544-444-4-4-4000000-440000000000000000000000000022−22000000
χ3644-444-4-4-4000000-4400000000000000000000000000−2222000000
χ3744-4-4-444-44i−4i00000000000000000000000000000000002i−2i2-200
χ3844-4-4-444-44i−4i0000000000000000000000000000000000−2i2i-2200
χ3944-4-4-444-4−4i4i00000000000000000000000000000000002i−2i-2200
χ4044-4-4-444-4−4i4i0000000000000000000000000000000000−2i2i2-200
χ414-4-44-44-44000000004-400004-400000000000000000000000000
χ424-4-44-44-44000000004-40000-4400000000000000000000000000
χ434-4-44-44-4400000000-4404-400000000000000000000000000000
χ444-4-44-44-4400000000-440-4400000000000000000000000000000
χ454-4-4-44-444004-40000000000000000000000002-22-20000000000
χ464-4-4-44-444004-4000000000000000000000000-22-220000000000
χ474-4-4-44-44400-440000000000000000000000002-2-220000000000
χ484-4-4-44-44400-44000000000000000000000000-222-20000000000
χ498-888-8-88-8000000000000000000000000000000000000000000
χ508-88-888-8-8000000000000000000000000000000000000000000

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