Finite Group Databasebeta

← Group #176864

Character table — Group #176864

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442244444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-11-1-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111-1-1111-1-11-1-1-11-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111-1-1111-1-111-1-1-1-1-11-1111111111-1-1-1-1-1-1
χ61111111111111111111-1-1111-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111
χ71111111111111111111-1-1-1-11-1-1-1-1-1111-1-11-11111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-11-1-1-1-1-1111-1-11-1-1-1-1-11111-1-1-1-111
χ911111111-1-1-1-1111111-11111-1-1-1-1-1-111-11-1-1111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-11111-1-1-1-1-1-111-11-1-11-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-111-1-1-1-1-111-1-1-11111-111-1-1-1-111-1-1111-1
χ1211111111-1-1-1-1111111-111-1-1-1-1-111-1-1-11111-1-1-11111-1-111-1-1-11
χ1311111111-1-1-1-1111111-1-1-111-111-1-11-1-11-1-11111-1-111-1-1-1-111-11
χ1411111111-1-1-1-1111111-1-1-111-111-1-11-1-11-1-111-1-111-1-11111-1-11-1
χ1511111111-1-1-1-1111111-1-1-1-1-1-11111111-1-11-1-111-1-1-1-11111-1-1-11
χ1611111111-1-1-1-1111111-1-1-1-1-1-11111111-1-11-1-1-1-11111-1-1-1-1111-1
χ172222222222222-2-2-22-2-20022-2002200000-20-200000000000000
χ182222222222222-2-2-22-2-200-2-2-200-2-20000020200000000000000
χ192222222222-2-2-22-2-2-2220000-2000002-2200-2000000000000000
χ202222222222-2-2-22-2-2-2220000-200000-22-2002000000000000000
χ212222222222-2-2-2-222-2-2-222002-2-2002000-200000000000000000
χ222222222222-2-2-2-222-2-2-2-2-20022200-2000200000000000000000
χ2322222222-2-222-22-2-2-22-200002000002-2-2002000000000000000
χ2422222222-2-222-22-2-2-22-20000200000-22200-2000000000000000
χ2522222222-2-222-2-222-2-222200-22200-2000-200000000000000000
χ2622222222-2-222-2-222-2-22-2-200-2-2-2002000200000000000000000
χ2722222222-2-2-2-22-2-2-22-220022200-2-20000020-200000000000000
χ2822222222-2-2-2-22-2-2-22-2200-2-22002200000-20200000000000000
χ29444-44-4-4-4004i−4i00000000000000000000000000002-22i−2i000000
χ30444-44-4-4-4004i−4i0000000000000000000000000000-22−2i2i000000
χ31444-44-4-4-400−4i4i00000000000000000000000000002-2−2i2i000000
χ32444-44-4-4-400−4i4i0000000000000000000000000000-222i−2i000000
χ3344-44-44-4-40000004-4000000004i−4i000000000000000000000000
χ3444-44-44-4-40000004-400000000−4i4i000000000000000000000000
χ3544-44-44-4-4000000-440004i−4i00000000000000000000000000000
χ3644-44-44-4-4000000-44000−4i4i00000000000000000000000000000
χ3744-4-4-4-44400004000-400004i−4i000000000000000000000000000
χ3844-4-4-4-44400004000-40000−4i4i000000000000000000000000000
χ3944-4-4-4-4440000-400040000000004-40000000000000000000000
χ4044-4-4-4-4440000-40004000000000-440000000000000000000000
χ414-444-4-44-44-400000000000000000000000000000000002i−2i2i−2i00
χ424-444-4-44-44-40000000000000000000000000000000000−2i2i−2i2i00
χ434-444-4-44-4-4400000000000000000000000000000000002i−2i−2i2i00
χ444-444-4-44-4-440000000000000000000000000000000000−2i2i2i−2i00
χ454-4-444-4-44000004000-40000000000000000002i2−2i2000000000000
χ464-4-444-4-44000004000-4000000000000000000−2i22i2000000000000
χ474-4-444-4-4400000-400040000000000000000000022−220000000000
χ484-4-444-4-4400000-4000400000000000000000000−22220000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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