Finite Group Databasebeta

← Group #352378

Character table — Group #352378

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222244444444444444444444448888888888888888883232323232323232
order12222244444444448888888888888888888824448888888888888824448888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-11-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1
χ91111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111111-11-1-11-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-11-111-11-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1-11-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-111-11-1-11
χ17222222222-2-2-2-22-2-2000000000000000022-2-222-2-2000022-2-22-2000000000000
χ18222222222-2-2-2-22-2-2000000000000000022-2-2-2-2220000-2-2222-2000000000000
χ19222222222-2-2-2-22-2-20000000000000000-2-22222-2-20000-2-222-22000000000000
χ20222222222-2-2-2-22-2-20000000000000000-2-222-2-222000022-2-2-22000000000000
χ21222222-2-2-222-2-2-22-22i2i2i2i−2i−2i−2i−2i000022-2-200000000002-22i−2i2i−2i00000000000000
χ22222222-2-2-222-2-2-22-22i2i2i2i−2i−2i−2i−2i0000-2-2220000000000-22−2i2i−2i2i00000000000000
χ23222222-2-2-222-2-2-22-2−2i−2i−2i−2i2i2i2i2i000022-2-200000000002-2−2i2i−2i2i00000000000000
χ24222222-2-2-222-2-2-22-2−2i−2i−2i−2i2i2i2i2i0000-2-2220000000000-222i−2i2i−2i00000000000000
χ25222222-2-2-2-2-222-2-220000000022-2-20000000000002-2002i−2i−2i2i002i2i−2i−2i00000000
χ26222222-2-2-2-2-222-2-220000000022-2-20000000000002-200−2i2i2i−2i00−2i−2i2i2i00000000
χ27222222-2-2-2-2-222-2-2200000000-2-222000000000000-22002i−2i−2i2i00−2i−2i2i2i00000000
χ28222222-2-2-2-2-222-2-2200000000-2-222000000000000-2200−2i2i2i−2i002i2i−2i−2i00000000
χ292222-2-222-22222-2-2-2000000002222222222220000-2-2-2-20000-2-2000000000000
χ302222-2-222-22222-2-2-2000000002222-2-2-2-2-2-2-2-20000-2-222000022000000000000
χ312222-2-222-22222-2-2-200000000-2-2-2-22222-2-2-2-2000022-2-2000022000000000000
χ322222-2-222-22222-2-2-200000000-2-2-2-2-2-2-2-22222000022220000-2-2000000000000
χ332222-2-222-2-2-2-2-2-2222i2i−2i−2i2i2i−2i−2i0000000022-2-2000000000000-222i−2i2i−2i00000000
χ342222-2-222-2-2-2-2-2-2222i2i−2i−2i2i2i−2i−2i00000000-2-2220000000000002-2−2i2i−2i2i00000000
χ352222-2-222-2-2-2-2-2-222−2i−2i2i2i−2i−2i2i2i0000000022-2-2000000000000-22−2i2i−2i2i00000000
χ362222-2-222-2-2-2-2-2-222−2i−2i2i2i−2i−2i2i2i00000000-2-2220000000000002-22i−2i2i−2i00000000
χ372222-2-2-2-2222-2-22-2200000000000022-2-200002-22-200-220000002-2-2200000000
χ382222-2-2-2-2222-2-22-2200000000000022-2-20000-22-2200-22000000-222-200000000
χ392222-2-2-2-2222-2-22-22000000000000-2-22200002-22-2002-2000000-222-200000000
χ402222-2-2-2-2222-2-22-22000000000000-2-2220000-22-22002-20000002-2-2200000000
χ412222-2-2-2-22-2-22222-222-2-2-2-22222-2-200000000-222-2-2200000000000000000000
χ422222-2-2-2-22-2-22222-222-2-2-2-222-2-222000000002-2-222-200000000000000000000
χ432222-2-2-2-22-2-22222-2-2-22222-2-222-2-2000000002-2-22-2200000000000000000000
χ442222-2-2-2-22-2-22222-2-2-22222-2-2-2-22200000000-222-22-200000000000000000000
χ4544-4-44-44-440000-40022−2222−2222−2222−2200000000000000000000000000000000000000
χ4644-4-44-44-440000-400−2222−2222−2222−222200000000000000000000000000000000000000
χ4744-4-44-4-44-400004002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ4844-4-44-4-44-40000400−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ4944-4-4-444-4-400004002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000
χ5044-4-4-444-4-40000400−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000
χ5144-4-4-44-4440000-40022−22−2222−222222−2200000000000000000000000000000000000000
χ5244-4-4-44-4440000-400−222222−2222−22−222200000000000000000000000000000000000000
χ534-4-4400000004-400000000000004-422−2222−2222−2222−2200000000000000000000000000
χ544-4-4400000004-400000000000004-4−2222−2222−2222−222200000000000000000000000000
χ554-4-4400000004-40000000000000-4422−2222−22−2222−222200000000000000000000000000
χ564-4-4400000004-40000000000000-44−2222−222222−2222−2200000000000000000000000000
χ574-4-440000000-44000000000004-40022−22−222222−22−222200000000000000000000000000
χ584-4-440000000-44000000000004-400−222222−22−222222−2200000000000000000000000000
χ594-4-440000000-4400000000000-440022−22−2222−222222−2200000000000000000000000000
χ604-4-440000000-4400000000000-4400−222222−2222−22−222200000000000000000000000000
χ618-88-8000008-8000000000000000000000000000000000000000000000000000
χ628-88-800000-88000000000000000000000000000000000000000000000000000

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