Finite Group Databasebeta

← Group #175080

Character table — Group #175080

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-11-111-111-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-111111111-1-111-1-1-1-11-11111-11-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-111111111-1-111-1-1-1-11-11-1-11-11-111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-11111-11-11-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-111111111-1-1-1-111-1-1-111-1-1-11-1111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1111111-1-11111-1-1-11-11-1111-1-11-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1111111-1-11111-1-1-11-11-1-1-11-1-111111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1111111-1-111-1-111-111-1-111-111-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1111111-1-111-1-111-111-1-1-1-1-111-11111-1-111-1-1-1-111
χ17222222222222-2-22-2-2-2-2200000000-202200000-2-200000000000000
χ18222222222222-2-22-2-2-2-2200000000-20-2-2000002200000000000000
χ192222222222-2-222-2-2-222-222220000-2-200-200000000000000000000
χ202222222222-2-222-2-2-222-2-2-2-2-20000-2200200000000000000000000
χ212222222222-2-2-2-2-222-2-2-2000022222000000-2-20000000000000000
χ222222222222-2-2-2-2-222-2-2-20000-2-2-2-22000000220000000000000000
χ2322222222-2-22222-222-2-2-2000022-2-2-2000000-220000000000000000
χ2422222222-2-22222-222-2-2-20000-2-222-20000002-20000000000000000
χ2522222222-2-222-2-2-2-2-222-222-2-200002200-200000000000000000000
χ2622222222-2-222-2-2-2-2-222-2-2-22200002-200200000000000000000000
χ2722222222-2-2-2-2222-2-2-2-2200000000202-200000-2200000000000000
χ2822222222-2-2-2-2222-2-2-2-220000000020-22000002-200000000000000
χ29444-4-44-4-40000000004-40004-400000000000000000000000000000
χ30444-4-44-4-40000000004-4000-4400000000000000000000000000000
χ31444-4-44-4-4000000000-4404-40000000000000000000000000000000
χ32444-4-44-4-4000000000-440-440000000000000000000000000000000
χ3344-44-4-44-44-40000000000000000000000000000000000000002-22-2
χ3444-44-4-44-44-4000000000000000000000000000000000000000-22-22
χ3544-44-4-44-4-440000000000000000000000000000000000000002-2-22
χ3644-44-4-44-4-44000000000000000000000000000000000000000-222-2
χ3744-4-44-4-4400000004-40000000004i−4i0000000000000000000000000
χ3844-4-44-4-4400000004-4000000000−4i4i0000000000000000000000000
χ3944-4-44-4-440000000-4400000004i−4i000000000000000000000000000
χ4044-4-44-4-440000000-440000000−4i4i000000000000000000000000000
χ414-4444-4-4-4004-40000000000000000000000000000000002-22-20000
χ424-4444-4-4-4004-4000000000000000000000000000000000-22-220000
χ434-4444-4-4-400-440000000000000000000000000000000002-2-220000
χ444-4444-4-4-400-44000000000000000000000000000000000-222-20000
χ454-44-4-4-44400000040000-40000000000000000000002i2−2i20000000000
χ464-44-4-4-44400000040000-4000000000000000000000−2i22i20000000000
χ474-44-4-4-444000000-4000040000000000000000000000022−2200000000
χ484-44-4-4-444000000-40000400000000000000000000000−222200000000
χ494-4-4-4444-400004i−4i00000000000000000002-200002i−2i000000000000
χ504-4-4-4444-400004i−4i0000000000000000000-220000−2i2i000000000000
χ514-4-4-4444-40000−4i4i00000000000000000002-20000−2i2i000000000000
χ524-4-4-4444-40000−4i4i0000000000000000000-2200002i−2i000000000000
χ538-8-88-88-88000000000000000000000000000000000000000000000

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