Finite Group Databasebeta

← Group #166395

Character table — Group #166395

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ511111111111111111111111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111-111-1-111-1-11111-1-1-1-1111-11-1-1-11-11-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-1-1-111111-1-1-11-1111-11-1-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-1111111-111-1-1-1-1111111-1-1-1-1-1111-11-1-11-1-11-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1-1-1-11111-1-1-11-11111-1-1111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-11111-1-1-1-11-1-1-1-1111-11-1111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-11111111-1-11-1-1-11-11-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-111-111-111-1-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-11111-11111-1-1-1-111-111-1-1-1-111
χ1722222222222222-2-22-2-2-2-22-20000222200000000-200-20000000000000000
χ1822222222222222-2-22-2-2-2-22-20000-2-2-2-20000000020020000000000000000
χ19222222222222-2-222-2-2-222-2-222-2-200000000000000000000-220000000000
χ20222222222222-2-222-2-2-222-2-2-2-222000000000000000000002-20000000000
χ21222222222222-2-2-2-2-222-2-2-22000000000000000000002-20000-2200000000
χ22222222222222-2-2-2-2-222-2-2-2200000000000000000000-2200002-200000000
χ2322222222-2-2-2-22222-222-2-2-2-200000000000000000000220000-2-200000000
χ2422222222-2-2-2-22222-222-2-2-2-200000000000000000000-2-200002200000000
χ2522222222-2-2-2-222-2-2-2-2-222-22222200000000000000000000-2-20000000000
χ2622222222-2-2-2-222-2-2-2-2-222-22-2-2-2-200000000000000000000220000000000
χ2722222222-2-2-2-2-2-2222-2-2-2-222000022-2-200000000-20020000000000000000
χ2822222222-2-2-2-2-2-2222-2-2-2-2220000-2-22200000000200-20000000000000000
χ292-2-22-22-2222-2-22-20020000-2000002-22-2i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i20000
χ302-2-22-22-2222-2-22-20020000-2000002-22-2−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i20000
χ312-2-22-22-2222-2-22-20020000-200000-22-22i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i20000
χ322-2-22-22-2222-2-22-20020000-200000-22-22−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i20000
χ332-2-22-22-22-2-222-220020000-2000002-2-22i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i20000
χ342-2-22-22-22-2-222-220020000-2000002-2-22−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i20000
χ352-2-22-22-22-2-222-220020000-200000-222-2i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i20000
χ362-2-22-22-22-2-222-220020000-200000-222-2−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i20000
χ37444-4-44-4-40000000004-4000000000000000022−2222−2200000000000000000000
χ38444-4-44-4-40000000004-40000000000000000−2222−222200000000000000000000
χ39444-4-44-4-4000000000-4400000000000022−2222−22000000000000000000000000
χ40444-4-44-4-4000000000-44000000000000−2222−2222000000000000000000000000
χ4144-444-4-4-4000000000004-400004-400000000000000000000000000000000
χ4244-444-4-4-4000000000004-40000-4400000000000000000000000000000000
χ4344-444-4-4-400000000000-44004-40000000000000000000000000000000000
χ4444-444-4-4-400000000000-4400-440000000000000000000000000000000000
χ4544-4-4-4-4444i−4i4i−4i00000000000000000000000000000000000000000002-22i−2i
χ4644-4-4-4-4444i−4i4i−4i0000000000000000000000000000000000000000000-22−2i2i
χ4744-4-4-4-444−4i4i−4i4i00000000000000000000000000000000000000000002-2−2i2i
χ4844-4-4-4-444−4i4i−4i4i0000000000000000000000000000000000000000000-222i−2i
χ494-44-44-4-444i−4i−4i4i00000000000000000000000000002-20002i−2i000000000000
χ504-44-44-4-444i−4i−4i4i0000000000000000000000000000-22000−2i2i000000000000
χ514-44-44-4-44−4i4i4i−4i00000000000000000000000000002-2000−2i2i000000000000
χ524-44-44-4-44−4i4i4i−4i0000000000000000000000000000-220002i−2i000000000000
χ534-4-44-44-4444-4-4-4400-4000040000000000000000000000000000000000000
χ544-4-44-44-44-4-4444-400-4000040000000000000000000000000000000000000
χ554-4-4-4444-40000004-40000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ564-4-4-4444-40000004-4000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ574-4-4-4444-4000000-440000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ584-4-4-4444-4000000-44000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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