Finite Group Databasebeta

← Group #175376

Character table — Group #175376

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444224444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-11-1-1-11-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-11-1-1-11-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-11-1-1-1-1-11-1-111-1111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-11-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-111111111
χ911111111-1-111-1-1-1-1111111-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-111-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-111-1-1-1-1111111-1-1-1-1-111111-1-1-1-1111-1-1-1-11111-1-1-1-111
χ1211111111-1-111-1-1-1-1111111-1-1-1-1-111111-1-1-1-11-1-11111-1-1-1-11111-1-1
χ1311111111-1-111-1-1-1-11111-1-111-111-1-1-11-11-1-11111-1-1-1-111-1-11111-1-1
χ1411111111-1-111-1-1-1-11111-1-111-111-1-1-11-11-1-111-1-11111-1-111-1-1-1-111
χ1511111111-1-111-1-1-1-11111-1-111-1-1-1111-1-1-1111-111-1-111-1-1-1-111-1-111
χ1611111111-1-111-1-1-1-11111-1-111-1-1-1111-1-1-1111-1-1-111-1-11111-1-111-1-1
χ1722222222222-2-2-2-2-2-2-22-20000222-2-2200-200000000000000000000
χ1822222222222-2-2-2-2-2-2-22-200002-2-222-200200000000000000000000
χ192222222222-2222-2-2-2-2-2222-2-2-2000000-2000200000000000000000
χ202222222222-2222-2-2-2-2-22-2-222-20000002000-200000000000000000
χ212222222222-2-2-2-22222-2-20000-200000200-220-20000000000000000
χ222222222222-2-2-2-22222-2-20000-200000-2002-2020000000000000000
χ2322222222-2-22-22222-2-22-20000-22222-200-200000000000000000000
χ2422222222-2-22-22222-2-22-20000-2-2-2-2-2200200000000000000000000
χ2522222222-2-2-22-2-222-2-2-2222222000000-2000-200000000000000000
χ2622222222-2-2-22-2-222-2-2-22-2-2-2-220000002000200000000000000000
χ2722222222-2-2-2-222-2-222-2-200002000002002-20-20000000000000000
χ2822222222-2-2-2-222-2-222-2-20000200000-200-22020000000000000000
χ29444-4-4-44-400040000000-44-40000000000000000000000000000000
χ30444-4-4-44-400040000000-4-440000000000000000000000000000000
χ31444-4-4-44-4000-400000004004i−4i00000000000000000000000000000
χ32444-4-4-44-4000-40000000400−4i4i00000000000000000000000000000
χ3344-44-44-4-40040000000-40000004-400000000000000000000000000
χ3444-44-44-4-40040000000-4000000-4400000000000000000000000000
χ3544-44-44-4-400-400000004000000004i−4i000000000000000000000000
χ3644-44-44-4-400-40000000400000000−4i4i000000000000000000000000
χ3744-4-44-4-440000004-400000000000000000000000002i−2i2i−2i00000000
χ3844-4-44-4-440000004-40000000000000000000000000−2i2i−2i2i00000000
χ3944-4-44-4-44000000-4400000000000000000000000002i−2i−2i2i00000000
χ4044-4-44-4-44000000-440000000000000000000000000−2i2i2i−2i00000000
χ414-444-4-4-44000000004-40000000000000000000000000000000002i2−2i2
χ424-444-4-4-44000000004-4000000000000000000000000000000000−2i22i2
χ434-444-4-4-4400000000-4400000000000000000000000000000002i2−2i200
χ444-444-4-4-4400000000-440000000000000000000000000000000−2i22i200
χ454-4-444-44-44-4000000000000000000000000000000000002i−2i2i−2i0000
χ464-4-444-44-44-400000000000000000000000000000000000−2i2i−2i2i0000
χ474-4-444-44-4-44000000000000000000000000000000000002i−2i−2i2i0000
χ484-4-444-44-4-4400000000000000000000000000000000000−2i2i2i−2i0000
χ494-4-4-4-444400004-4000000000000000000000002-22-2000000000000
χ504-4-4-4-444400004-400000000000000000000000-22-22000000000000
χ514-4-4-4-44440000-44000000000000000000000002-2-22000000000000
χ524-4-4-4-44440000-4400000000000000000000000-222-2000000000000
χ538-88-888-8-8000000000000000000000000000000000000000000000

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