Finite Group Databasebeta

← Group #240809

Character table — Group #240809

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444488888888888888881616161616161616161616161616161616161616
order12222222224444444444444444444444448888888824444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1
χ911111-1-1-1-11-1-11111111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1-1-111-1-111-1-11-11-1
χ1011111-1-1-1-11-1-11111111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-111-1-111-11-11
χ1111111-1-1-1-11-1-11111111-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-111-11-11
χ1211111-1-1-1-11-1-11111111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1111-1-11111-1-11-11-1
χ1311111-1-1-1-11-1-11111111-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-111-1-1-11111-1-1-11-11
χ1411111-1-1-1-11-1-11111111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111111-1-1-1-1111-11-1
χ1511111-1-1-1-11-1-11111111-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-111-1-1111-11-1
χ1611111-1-1-1-11-1-11111111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1111-1-1111-1-111-1-1-11-11
χ172222222222222-2-2-2-2222-2-2-2-2-2-200000000000000000002-22-20000000000000
χ182222222222222-2-2-2-2222-2-2-2-2-2-20000000000000000000-22-220000000000000
χ192222222222-2-2-22222-2-2-222-2-2-2-20000000000000000000000002-22-200000000
χ202222222222-2-2-22222-2-2-222-2-2-2-2000000000000000000000000-22-2200000000
χ212222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000002i−2i2i−2i0000
χ222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000−2i2i−2i2i0000
χ2322222-2-2-2-2222-22222-2-22-2-2-2-2220000000000000000000000002-2-2200000000
χ2422222-2-2-2-2222-22222-2-22-2-2-2-222000000000000000000000000-222-200000000
χ2522222-2-2-2-2222-2-2-2-2-2-2-222222-2-200000000000000000000000000002i−2i−2i2i0000
χ2622222-2-2-2-2222-2-2-2-2-2-2-222222-2-20000000000000000000000000000−2i2i2i−2i0000
χ2722222-2-2-2-22-2-22-2-2-2-222-222-2-22200000000000000000002-2-220000000000000
χ2822222-2-2-2-22-2-22-2-2-2-222-222-2-2220000000000000000000-222-20000000000000
χ292222-222-2-2-222222-2-22-2-22-22-22-20000000000000000000000000000000022-2-2
χ302222-222-2-2-222222-2-22-2-22-22-22-200000000000000000000000000000000-2-222
χ312222-222-2-2-2222-2-2222-2-2-22-22-2200000000000000002-220000-2000000000000
χ322222-222-2-2-2222-2-2222-2-2-22-22-220000000000000000-22-200002000000000000
χ332222-222-2-2-2-2-2-222-2-2-2222-2-22-22000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ342222-222-2-2-2-2-2-222-2-2-2222-2-22-2200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ352222-222-2-2-2-2-2-2-2-222-222-222-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ362222-222-2-2-2-2-2-2-2-222-222-222-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ372222-2-2-222-222-222-2-2-22-2-22-222-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ382222-2-2-222-222-222-2-2-22-2-22-222-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ392222-2-2-222-222-2-2-222-22-22-22-2-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ402222-2-2-222-222-2-2-222-22-22-22-2-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ412222-2-2-222-2-2-2222-2-22-22-222-2-22000000000000000000000000000000002-2-22
χ422222-2-2-222-2-2-2222-2-22-22-222-2-2200000000000000000000000000000000-222-2
χ432222-2-2-222-2-2-22-2-2222-222-2-222-200000000000000002-2-200002000000000000
χ442222-2-2-222-2-2-22-2-2222-222-2-222-20000000000000000-2220000-2000000000000
χ4544-4-404-40004-440000-4000000002-22-22-22-20000000000000000000000000000
χ4644-4-404-40004-440000-400000000-22-22-22-220000000000000000000000000000
χ4744-4-404-4000-44-400004000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ4844-4-404-4000-44-40000400000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ4944-4-40-440004-4-400004000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ5044-4-40-440004-4-40000400000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ5144-4-40-44000-4440000-4000000002-22-2-22-220000000000000000000000000000
χ5244-4-40-44000-4440000-400000000-22-222-22-20000000000000000000000000000
χ534-44-440000-40004-44-400000000000000000000022−2222−2200000000000000000000
χ544-44-440000-40004-44-4000000000000000000000−2222−222200000000000000000000
χ554-44-440000-4000-44-440000000000000000022−2222−22000000000000000000000000
χ564-44-440000-4000-44-4400000000000000000−2222−2222000000000000000000000000
χ574-44-4-4000040004-4-440000000000000000000002i2−2i2−2i22i200000000000000000000
χ584-44-4-4000040004-4-44000000000000000000000−2i22i22i2−2i200000000000000000000
χ594-44-4-400004000-444-4000000000000000002i2−2i2−2i22i2000000000000000000000000
χ604-44-4-400004000-444-400000000000000000−2i22i22i2−2i2000000000000000000000000
χ618-8-880008-800000000000000000000000000000000000000000000000000000
χ628-8-88000-8800000000000000000000000000000000000000000000000000000

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