Finite Group Databasebeta

← Group #175402

Character table — Group #175402

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1-1-111111-11-1-1-1-1-111111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-111111-11-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-11-1-11-11-11-11-111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-1-1-11-1-11-11-11-11-1-1-1-1-1-1-1-1-111111111
χ911111111-1-11-1-11-1-1111111-1-111-1-1-11-1-1-1-111111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11-1-1111111-1-111-1-1-11-1-1-1-1111-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-11-1-1111111-1-1-1-1-111-111-111-1-111-1-1-1-11111-1-1-1-111
χ1211111111-1-11-1-11-1-1111111-1-1-1-1-111-111-111-1-1-1-11111-1-1-1-11111-1-1
χ1311111111-1-11-1-11-1-11111-1-11111-1-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1
χ1411111111-1-11-1-11-1-11111-1-11111-1-1-1-1-1111-1-11-1-11111-1-111-1-1-1-111
χ1511111111-1-11-1-11-1-11111-1-111-1-1-11111-11-1-11-111-1-111-1-1-1-111-1-111
χ1611111111-1-11-1-11-1-11111-1-111-1-1-11111-11-1-11-1-1-111-1-11111-1-111-1-1
χ172222222222222-2-2-2-2-22-2000022-2-2-20200000-20000000000000000
χ182222222222222-2-2-2-2-22-20000-2-2-2220-20000020000000000000000
χ192222222222-2-2-22-2-2-2-2-2222-2-20020000020-2000000000000000000
χ202222222222-2-2-22-2-2-2-2-22-2-22200200000-202000000000000000000
χ212222222222-2-2-2-22222-2-2000000-20020-2020-200000000000000000
χ222222222222-2-2-2-22222-2-2000000-200-2020-20200000000000000000
χ2322222222-2-22-2-2-222-2-22-20000222220-200000-20000000000000000
χ2422222222-2-22-2-2-222-2-22-20000-2-22-2-2020000020000000000000000
χ2522222222-2-2-222222-2-2-22222200-200000-20-2000000000000000000
χ2622222222-2-2-222222-2-2-22-2-2-2-200-200000202000000000000000000
χ2722222222-2-2-222-2-2-222-2-20000002002020-20-200000000000000000
χ2822222222-2-2-222-2-2-222-2-2000000200-20-2020200000000000000000
χ29444-4-44-4-44-40000000000000000000000000000000000000002-22-2
χ30444-4-44-4-44-4000000000000000000000000000000000000000-22-22
χ31444-4-44-4-4-440000000000000000000000000000000000000002-2-22
χ32444-4-44-4-4-44000000000000000000000000000000000000000-222-2
χ3344-44-4-44-400000400000-4004-400000000000000000000000000000
χ3444-44-4-44-400000400000-400-4400000000000000000000000000000
χ3544-44-4-44-400000-40000044i−4i0000000000000000000000000000000
χ3644-44-4-44-400000-4000004−4i4i0000000000000000000000000000000
χ3744-4-44-4-44000000004-4000000000000000000000000000002i2−2i20000
χ3844-4-44-4-44000000004-400000000000000000000000000000−2i22i20000
χ3944-4-44-4-4400000000-440000000000000000000000000002i2−2i2000000
χ4044-4-44-4-4400000000-44000000000000000000000000000−2i22i2000000
χ414-444-4-4-440000004-400000000000000000000000002i−2i2i−2i00000000
χ424-444-4-4-440000004-40000000000000000000000000−2i2i−2i2i00000000
χ434-444-4-4-44000000-4400000000000000000000000002i−2i−2i2i00000000
χ444-444-4-4-44000000-440000000000000000000000000−2i2i2i−2i00000000
χ454-4-4444-4-40040000000-4000004-4000000000000000000000000000
χ464-4-4444-4-40040000000-400000-44000000000000000000000000000
χ474-4-4444-4-400-400000004000000004i−4i000000000000000000000000
χ484-4-4444-4-400-40000000400000000−4i4i000000000000000000000000
χ494-4-4-4-44440004-40000000000000000000000002-22-2000000000000
χ504-4-4-4-44440004-4000000000000000000000000-22-22000000000000
χ514-4-4-4-4444000-440000000000000000000000002-2-22000000000000
χ524-4-4-4-4444000-44000000000000000000000000-222-2000000000000
χ538-88-88-88-8000000000000000000000000000000000000000000000

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