Finite Group Databasebeta

← Group #176856

Character table — Group #176856

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111-1-111111-11-1-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-111-1-111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-111-1-1-1-1-1-1-11-11-11-111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-111-1-1-1-1-1-1-11-11-11-11-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111-1-1111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-111-1-1111-1-11-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-11111-1-11-1-11-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-11111-1-11-1-11-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-111-1-111-111-1-111-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-111-1-111-111-1-111-1-1-11111-1-111-1-1-11
χ17222222222222-22-2-2-2200-2-2002222-20-20000000000000000000
χ18222222222222-22-2-2-2200-2-200-2-2-2-22020000000000000000000
χ192222222222-2-22-2-2-22-2222-22200000000-20-2000000000000000
χ202222222222-2-22-2-2-22-2-2-22-2-2-200000000202000000000000000
χ212222222222-2-2-2-222-2-200-2200000002020-20-200000000000000
χ222222222222-2-2-2-222-2-200-220000000-20-2020200000000000000
χ2322222222-2-2222-2-2-22-222-22-2-200000000-202000000000000000
χ2422222222-2-2222-2-2-22-2-2-2-22220000000020-2000000000000000
χ2522222222-2-222-2-222-2-2002-2000000020-20-20200000000000000
χ2622222222-2-222-2-222-2-2002-20000000-202020-200000000000000
χ2722222222-2-2-2-2-22-2-2-2200220022-2-2-2020000000000000000000
χ2822222222-2-2-2-2-22-2-2-22002200-2-22220-20000000000000000000
χ29444-44-4-4-40000004-4000000000000000000000000000022−220000
χ30444-44-4-4-40000004-40000000000000000000000000000−22220000
χ31444-44-4-4-4000000-4400000000000000000000000000000022−2200
χ32444-44-4-4-4000000-44000000000000000000000000000000−222200
χ3344-44-44-4-44-4000000000000000000000000002-22-20000000000
χ3444-44-44-4-44-400000000000000000000000000-22-220000000000
χ3544-44-44-4-4-44000000000000000000000000002-2-220000000000
χ3644-44-44-4-4-4400000000000000000000000000-222-20000000000
χ374-444-4-4-44004-400000000000000000000000000002i−2i2i−2i000000
χ384-444-4-4-44004-40000000000000000000000000000−2i2i−2i2i000000
χ394-444-4-4-4400-4400000000000000000000000000002i−2i−2i2i000000
χ404-444-4-4-4400-440000000000000000000000000000−2i2i2i−2i000000
χ414-44-4-444-400004000-4000004-400000000000000000000000000
χ424-44-4-444-400004000-400000-4400000000000000000000000000
χ434-44-4-444-40000-4000404i−4i000000000000000000000000000000
χ444-44-4-444-40000-400040−4i4i000000000000000000000000000000
χ454-4-4-444-44000004000-4000000004i−4i0000000000000000000000
χ464-4-4-444-44000004000-400000000−4i4i0000000000000000000000
χ474-4-4-444-4400000-400040000004-4000000000000000000000000
χ484-4-4-444-4400000-40004000000-44000000000000000000000000
χ4988-8-8-8-888000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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