Finite Group Databasebeta

← Group #176853

Character table — Group #176853

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442444444488888888888822
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1111-1-111-1-11-11-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1111-1-111-1-11-11-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1111-1-1-1-111111111-1-1
χ911111111-1-111-1-11111-11111-1-1-1-1-111-1-11-1-1111-1-111-1-111-1-11-1
χ1011111111-1-111-1-11111-11111-1-1-1-1-111-1-11-1-11-1-111-1-111-1-111-11
χ1111111111-1-111-1-11111-111-1-1-1-1-111-111-1-111-111-1-111-1-1-1-111-11
χ1211111111-1-111-1-11111-111-1-1-1-1-111-111-1-111-1-1-111-1-11111-1-11-1
χ1311111111-1-111-1-11111-1-1-111-111-1-1-1-1-11111-111-1-1-1-11111-1-1-11
χ1411111111-1-111-1-11111-1-1-111-111-1-1-1-1-11111-1-1-11111-1-1-1-1111-1
χ1511111111-1-111-1-11111-1-1-1-1-1-111111-111-1-1-1111-1-1-1-111-1-1111-1
χ1611111111-1-111-1-11111-1-1-1-1-1-111111-111-1-1-11-1-11111-1-111-1-1-11
χ1722222222222-222-2-22-2-22200-222000-20-2000000000000000000
χ1822222222222-222-2-22-2-2-2-200-2-2-2000202000000000000000000
χ192222222222-22-2-2-2-2-22-20022200-2-20020-200000000000000000
χ202222222222-22-2-2-2-2-22-200-2-22002200-20200000000000000000
χ212222222222-2-2-2-222-2-220000-20000200002-2-200000000000000
χ222222222222-2-2-2-222-2-220000-20000-20000-22200000000000000
χ2322222222-2-22-2-2-2-2-22-2222002-2-2000-202000000000000000000
χ2422222222-2-22-2-2-2-2-22-22-2-20022200020-2000000000000000000
χ2522222222-2-2-2222-2-2-2220022-2002200-20-200000000000000000
χ2622222222-2-2-2222-2-2-22200-2-2-200-2-20020200000000000000000
χ2722222222-2-2-2-22222-2-2-200002000020000-22-200000000000000
χ2822222222-2-2-2-22222-2-2-2000020000-200002-2200000000000000
χ29444-44-4-4-40000004-4000000000000000000000000002i2−2i2000000
χ30444-44-4-4-40000004-400000000000000000000000000−2i22i2000000
χ31444-44-4-4-4000000-440000000000000000000000002i2−2i200000000
χ32444-44-4-4-4000000-44000000000000000000000000−2i22i200000000
χ3344-44-44-4-44-400000000000000000000000000000000002i−2i2i−2i00
χ3444-44-44-4-44-40000000000000000000000000000000000−2i2i−2i2i00
χ3544-44-44-4-4-4400000000000000000000000000000000002i−2i−2i2i00
χ3644-44-44-4-4-440000000000000000000000000000000000−2i2i2i−2i00
χ3744-4-4-4-444000400000-40004i−4i000000000000000000000000000
χ3844-4-4-4-444000400000-4000−4i4i000000000000000000000000000
χ3944-4-4-4-444000-4000004000000004-40000000000000000000000
χ4044-4-4-4-444000-400000400000000-440000000000000000000000
χ414-444-4-4-4400400000-4004i−4i00000000000000000000000000000
χ424-444-4-4-4400400000-400−4i4i00000000000000000000000000000
χ434-444-4-4-4400-400000400000004-4000000000000000000000000
χ444-444-4-4-4400-40000040000000-44000000000000000000000000
χ454-4-4-444-4400004-400000000000000000000002-22-20000000000
χ464-4-4-444-4400004-40000000000000000000000-22-220000000000
χ474-4-4-444-440000-4400000000000000000000002-2-220000000000
χ484-4-4-444-440000-440000000000000000000000-222-20000000000
χ498-88-8-888-8000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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