Finite Group Databasebeta

← Group #176802

Character table — Group #176802

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-11-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-1111111-11-1-1-11-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11-1-11-1-11-11-1-1-1111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-11-1-11-1-11-11-1-1-111-1-1-1-11111-1-1-1-111
χ911111111-1-111-1-1111111-1-1-111-1-1-1-1-111-111-111-1-111-1-111-1-11-1
χ1011111111-1-111-1-1111111-1-1-111-1-1-1-1-111-111-1-1-111-1-111-1-111-11
χ1111111111-1-111-1-1111111-1-1-1-1-1-11111-11-1-1-1111-1-1-1-111-1-1111-1
χ1211111111-1-111-1-1111111-1-1-1-1-1-11111-11-1-1-11-1-11111-1-111-1-1-11
χ1311111111-1-111-1-11111-1-111-111-1-1-11-1-1-111-1111-1-111-1-1-1-111-11
χ1411111111-1-111-1-11111-1-111-111-1-1-11-1-1-111-11-1-111-1-11111-1-11-1
χ1511111111-1-111-1-11111-1-111-1-1-1-111-111-11-11-111-1-1-1-11111-1-1-11
χ1611111111-1-111-1-11111-1-111-1-1-1-111-111-11-11-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-20000-200200202000-2-200000000000000
χ1822222222222-2-2-2-2-22-20000-200200-20-20002200000000000000
χ192222222222-2222-2-2-220000-222-2220-2000-20000000000000000
χ202222222222-2222-2-2-220000-2-2-2-2-2-20200020000000000000000
χ212222222222-2-2-2-222-2-22222200-200000-2-200000000000000000
χ222222222222-2-2-2-222-2-2-2-2-2-2200-2000002200000000000000000
χ2322222222-2-22-222-2-22-20000200-20020-20002-200000000000000
χ2422222222-2-22-222-2-22-20000200-200-202000-2200000000000000
χ2522222222-2-2-22-2-2-2-2-2200002222-2-202000-20000000000000000
χ2622222222-2-2-22-2-2-2-2-2200002-2-22220-200020000000000000000
χ2722222222-2-2-2-22222-2-222-2-2-200200000-2200000000000000000
χ2822222222-2-2-2-22222-2-2-2-222-2002000002-200000000000000000
χ29444-44-4-4-40000004-400004-40000000000000000000000000000
χ30444-44-4-4-40000004-40000-440000000000000000000000000000
χ31444-44-4-4-4000000-44004-4000000000000000000000000000000
χ32444-44-4-4-4000000-4400-44000000000000000000000000000000
χ3344-44-4-44-400400000-400000000000000000000022−220000000000
χ3444-44-4-44-400400000-4000000000000000000000−22220000000000
χ3544-44-4-44-400-400000400000000000000000002i2−2i2000000000000
χ3644-44-4-44-400-40000040000000000000000000−2i22i2000000000000
χ3744-4-4-44-4400004-40000000000000000000000000000002i−2i2i−2i00
χ3844-4-4-44-4400004-4000000000000000000000000000000−2i2i−2i2i00
χ3944-4-4-44-440000-440000000000000000000000000000002i−2i−2i2i00
χ4044-4-4-44-440000-44000000000000000000000000000000−2i2i2i−2i00
χ414-4-444-4-444i−4i0000000000000000000000000000002i−2i2-2000000
χ424-4-444-4-444i−4i000000000000000000000000000000−2i2i-22000000
χ434-4-444-4-44−4i4i0000000000000000000000000000002i−2i-22000000
χ444-4-444-4-44−4i4i000000000000000000000000000000−2i2i2-2000000
χ454-4-4-4444-4000400000-4000000004i−4i0000000000000000000000
χ464-4-4-4444-4000400000-400000000−4i4i0000000000000000000000
χ474-4-4-4444-4000-4000004000004-40000000000000000000000000
χ484-4-4-4444-4000-400000400000-440000000000000000000000000
χ498-888-88-8-8000000000000000000000000000000000000000000
χ508-88-8-8-888000000000000000000000000000000000000000000

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