Finite Group Databasebeta

← Group #175175

Character table — Group #175175

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444222244444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1
χ911111111-1-1-1-11-1-111111-111-1-111-1-11-1111-11-11-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-111111-111-1-111-1-11-1-1-11-11-11-111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-111111-111-1-1-1-111-11111-1-11-11-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-11-1-111111-111-1-1-1-111-11-1-11-1-11-1111-1-11111-1-111-1-1
χ1311111111-1-1-1-11-1-111111-1-1-11111-1-1-1111-111-1-11-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-11-1-111111-1-1-11111-1-1-11-1-1-111-1-111111-1-1-1-11111-1-1
χ1511111111-1-1-1-11-1-111111-1-1-111-1-1111-111-11-111-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-111111-1-1-111-1-1111-1-1-1-11-111-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-2-222-2-2222200000000-2-2000000000000000000
χ18222222222222-2-2-2-2-222-2-2-2-2-2-20000000022000000000000000000
χ192222222222-2-22-2-2-2-2-2-222000000002-2000000-2200000000000000
χ202222222222-2-22-2-2-2-2-2-22200000000-220000002-200000000000000
χ212222222222-2-2-22222-2-2-2-2000022-2-2000000-220000000000000000
χ222222222222-2-2-22222-2-2-2-20000-2-2220000002-20000000000000000
χ2322222222-2-222222-2-2-2-22-20000000022000000-2-200000000000000
χ2422222222-2-222222-2-2-2-22-200000000-2-20000002200000000000000
χ2522222222-2-222-2-2-222-2-2-2200002222000000-2-20000000000000000
χ2622222222-2-222-2-2-222-2-2-220000-2-2-2-2000000220000000000000000
χ2722222222-2-2-2-2-222-2-222-2222-2-200000000-22000000000000000000
χ2822222222-2-2-2-2-222-2-222-22-2-222000000002-2000000000000000000
χ29444-4-4-44-4000004-40000000000000000000000000000002i−2i2i−2i0000
χ30444-4-4-44-4000004-4000000000000000000000000000000−2i2i−2i2i0000
χ31444-4-4-44-400000-440000000000000000000000000000002i−2i−2i2i0000
χ32444-4-4-44-400000-44000000000000000000000000000000−2i2i2i−2i0000
χ3344-44-4-4-444i−4i0000000000000000000002-20000002i−2i000000000000
χ3444-44-4-4-444i−4i000000000000000000000-22000000−2i2i000000000000
χ3544-44-4-4-44−4i4i0000000000000000000002-2000000−2i2i000000000000
χ3644-44-4-4-44−4i4i000000000000000000000-220000002i−2i000000000000
χ3744-4-444-4-400000004-400000000004i−4i000000000000000000000000
χ3844-4-444-4-400000004-40000000000−4i4i000000000000000000000000
χ3944-4-444-4-40000000-44000000004i−4i00000000000000000000000000
χ4044-4-444-4-40000000-4400000000−4i4i00000000000000000000000000
χ414-4444-4-4-40000000004-400004i−4i0000000000000000000000000000
χ424-4444-4-4-40000000004-40000−4i4i0000000000000000000000000000
χ434-4444-4-4-4000000000-44004i−4i000000000000000000000000000000
χ444-4444-4-4-4000000000-4400−4i4i000000000000000000000000000000
χ454-44-4-44-4400004000000-40000000000000000000002i2−2i20000000000
χ464-44-4-44-4400004000000-4000000000000000000000−2i22i20000000000
χ474-44-4-44-440000-400000040000000000000000000000022−2200000000
χ484-44-4-44-440000-4000000400000000000000000000000−222200000000
χ494-4-4-44-444004-400000000000000000000000000000000000002-22-2
χ504-4-4-44-444004-40000000000000000000000000000000000000-22-22
χ514-4-4-44-44400-4400000000000000000000000000000000000002-2-22
χ524-4-4-44-44400-440000000000000000000000000000000000000-222-2
χ538-8-88-888-8000000000000000000000000000000000000000000000

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