Finite Group Databasebeta

← Group #175196

Character table — Group #175196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111111-111-1-111-1-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-11-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-11-1-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1
χ911111111-1-1-1-11-1-11111111-1-1-111-1-1-11-11-11111-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-11111111-1-1-111-1-1-11-11-1-1-111-111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-11111111-1-1-1-1-111-1-11-11111-11-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-11-1-11111111-1-1-1-1-111-1-11-11-1-11-1111-1-11111-1-111-1-1
χ1311111111-1-1-1-11-1-111111-1-111-111-1-111-1-1111-1-11-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-11-1-111111-1-111-111-1-111-1-11-1-1-1-111111-1-1-1-11111-1-1
χ1511111111-1-1-1-11-1-111111-1-111-1-1-1111-111-111-11-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-111111-1-111-1-1-1111-111-1-1-1-11-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-2-2-220000-2000000022000-2-200000000000000
χ182222222222222-2-2-2-2-2-220000-20000000-2-20002200000000000000
χ192222222222-2-2-222-2-222-22222-20000-2000000-20000000000000000
χ202222222222-2-2-222-2-222-2-2-2-2-2-20000200000020000000000000000
χ212222222222-2-2-2-2-222-2-2-20000222220-2-2000000000000000000000
χ222222222222-2-2-2-2-222-2-2-200002-2-2-2-2022000000000000000000000
χ2322222222-2-222-22222-2-2-20000-222-2-20-22000000000000000000000
χ2422222222-2-222-22222-2-2-20000-2-2-22202-2000000000000000000000
χ2522222222-2-222-2-2-2-2-222-222-2-2200002000000-20000000000000000
χ2622222222-2-222-2-2-2-2-222-2-2-22220000-200000020000000000000000
χ2722222222-2-2-2-2222-2-2-2-220000200000002-2000-2200000000000000
χ2822222222-2-2-2-2222-2-2-2-22000020000000-220002-200000000000000
χ29444-4-4-44-400000004-400000000004-4000000000000000000000000
χ30444-4-4-44-400000004-40000000000-44000000000000000000000000
χ31444-4-4-44-40000000-44000000004-400000000000000000000000000
χ32444-4-4-44-40000000-4400000000-4400000000000000000000000000
χ3344-444-4-4-4004-40000000000000000000000000000000002-22-20000
χ3444-444-4-4-4004-4000000000000000000000000000000000-22-220000
χ3544-444-4-4-400-440000000000000000000000000000000002-2-220000
χ3644-444-4-4-400-44000000000000000000000000000000000-222-20000
χ3744-4-4-44-44000004i−4i00000000000000000002i−2i0002-2000000000000
χ3844-4-4-44-44000004i−4i0000000000000000000−2i2i000-22000000000000
χ3944-4-4-44-4400000−4i4i00000000000000000002i−2i000-22000000000000
χ4044-4-4-44-4400000−4i4i0000000000000000000−2i2i0002-2000000000000
χ414-444-44-4-44-40000000000000000000000000000000000000002-22-2
χ424-444-44-4-44-4000000000000000000000000000000000000000-22-22
χ434-444-44-4-4-440000000000000000000000000000000000000002-2-22
χ444-444-44-4-4-44000000000000000000000000000000000000000-222-2
χ454-44-44-4-440000000004-40004i−4i00000000000000000000000000000
χ464-44-44-4-440000000004-4000−4i4i00000000000000000000000000000
χ474-44-44-4-44000000000-4404i−4i0000000000000000000000000000000
χ484-44-44-4-44000000000-440−4i4i0000000000000000000000000000000
χ494-4-4-4444-400004000000-40000000000000000000002i2−2i20000000000
χ504-4-4-4444-400004000000-4000000000000000000000−2i22i20000000000
χ514-4-4-4444-40000-400000040000000000000000000000022−2200000000
χ524-4-4-4444-40000-4000000400000000000000000000000−222200000000
χ538-8-88-8-888000000000000000000000000000000000000000000000

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