Finite Group Databasebeta

← Group #352379

Character table — Group #352379

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222244444444444444444444448888888888888888883232323232323232
order12222244444444448888888888888888888824448888888888888844448888
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
χ1722222222-2-2-2-2-2-22-20000000022-2-20000000000002-2002i2i−2i−2i002i2i−2i−2i00000000
χ1822222222-2-2-2-2-2-22-20000000022-2-20000000000002-200−2i−2i2i2i00−2i−2i2i2i00000000
χ1922222222-2-2-2-2-2-22-200000000-2-222000000000000-22002i2i−2i−2i00−2i−2i2i2i00000000
χ2022222222-2-2-2-2-2-22-200000000-2-222000000000000-2200−2i−2i2i2i002i2i−2i−2i00000000
χ21222222-2-2222-2-22-2-2000000000000000022-2-22-22-200002-22-22-2000000000000
χ22222222-2-2222-2-22-2-2000000000000000022-2-2-22-220000-22-222-2000000000000
χ23222222-2-2222-2-22-2-20000000000000000-2-2222-22-20000-22-22-22000000000000
χ24222222-2-2222-2-22-2-20000000000000000-2-222-22-2200002-22-2-22000000000000
χ25222222-2-2-2-2-222-2-222i2i2i2i−2i−2i−2i−2i000022-2-200000000002-22i−2i−2i2i00000000000000
χ26222222-2-2-2-2-222-2-222i2i2i2i−2i−2i−2i−2i0000-2-2220000000000-22−2i2i2i−2i00000000000000
χ27222222-2-2-2-2-222-2-22−2i−2i−2i−2i2i2i2i2i000022-2-200000000002-2−2i2i2i−2i00000000000000
χ28222222-2-2-2-2-222-2-22−2i−2i−2i−2i2i2i2i2i0000-2-2220000000000-222i−2i−2i2i00000000000000
χ292222-2-22222-222-2-2-2000000002222222222220000-2-2-2-20000-2-2000000000000
χ302222-2-22222-222-2-2-2000000002222-2-2-2-2-2-2-2-20000-2-222000022000000000000
χ312222-2-22222-222-2-2-200000000-2-2-2-22222-2-2-2-2000022-2-2000022000000000000
χ322222-2-22222-222-2-2-200000000-2-2-2-2-2-2-2-22222000022220000-2-2000000000000
χ332222-2-222-2-22-2-22-2222-2-222-2-222-2-20000000022-2-2-2200000000000000000000
χ342222-2-222-2-22-2-22-2222-2-222-2-2-2-22200000000-2-2222-200000000000000000000
χ352222-2-222-2-22-2-22-22-2-222-2-22222-2-200000000-2-222-2200000000000000000000
χ362222-2-222-2-22-2-22-22-2-222-2-222-2-2220000000022-2-22-200000000000000000000
χ372222-2-2-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000022-2-2000000000000-222i−2i2i−2i00000000
χ382222-2-2-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000-2-2220000000000002-2−2i2i−2i2i00000000
χ392222-2-2-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000022-2-2000000000000-22−2i2i−2i2i00000000
χ402222-2-2-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000-2-2220000000000002-22i−2i2i−2i00000000
χ412222-2-2-2-2-2-222222-200000000000022-2-200002-2-2200-22000000-222-200000000
χ422222-2-2-2-2-2-222222-200000000000022-2-20000-222-200-220000002-2-2200000000
χ432222-2-2-2-2-2-222222-2000000000000-2-22200002-2-22002-20000002-2-2200000000
χ442222-2-2-2-2-2-222222-2000000000000-2-2220000-222-2002-2000000-222-200000000
χ4544-4-4004-400000000000000004-40022−2222−2222−2222−2200000000000000000000000000
χ4644-4-4004-400000000000000004-400−2222−2222−2222−222200000000000000000000000000
χ4744-4-4004-40000000000000000-440022−2222−22−2222−222200000000000000000000000000
χ4844-4-4004-40000000000000000-4400−2222−222222−2222−2200000000000000000000000000
χ4944-4-400-440000000000000000004-422−22−222222−22−222200000000000000000000000000
χ5044-4-400-440000000000000000004-4−222222−22−222222−2200000000000000000000000000
χ5144-4-400-44000000000000000000-4422−22−2222−222222−2200000000000000000000000000
χ5244-4-400-44000000000000000000-44−222222−2222−22−222200000000000000000000000000
χ534-44-44-4004-4400-40022−2222−2222−2222−2200000000000000000000000000000000000000
χ544-44-44-4004-4400-400−2222−2222−2222−222200000000000000000000000000000000000000
χ554-44-44-400-44-4004002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ564-44-44-400-44-400400−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ574-44-4-44004-4-4004002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000
χ584-44-4-44004-4-400400−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000
χ594-44-4-4400-44400-40022−22−222222−22−222200000000000000000000000000000000000000
χ604-44-4-4400-44400-400−222222−22−222222−2200000000000000000000000000000000000000
χ618-8-8800000008-80000000000000000000000000000000000000000000000000
χ628-8-880000000-880000000000000000000000000000000000000000000000000

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