Finite Group Databasebeta

← Group #347989

Character table — Group #347989

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244444444444444444888822444444888888888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1
χ611111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1111-1-1
χ91111111111111-1-1-1-111-1-1-1-111111-11-11-11-111-1-111-1-1-1-111-1-11111-1-11-11-1
χ101111111111111-1-1-1-111-1-1-1-111111-11-11-11-111-1-111-1-1-1-111-1-1-1-1-1-111-11-11
χ111111111111111-1-1-1-111-1-1-1-11111-11-11-11-11-1-11111-1-1-1-1-1-1111111-1-1-11-11
χ121111111111111-1-1-1-111-1-1-1-11111-11-11-11-11-1-11111-1-1-1-1-1-111-1-1-1-1111-11-1
χ131111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-11-11-1-1-111-1-11111-1-11111-1-1-111-1-11
χ141111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-11-11-1-1-111-1-11111-1-111-1-1111-1-111-1
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-11-1111-1-1-1-1111111-1-111-1-1-11-111-1
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-11-1111-1-1-1-1111111-1-1-1-1111-11-1-11
χ172222222222-2-2-22222-2-2-2-2-2-2000022-2-222-2-2000000000000000000000000
χ182222222222-2-2-22222-2-2-2-2-2-20000-2-222-2-222000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2222200002-2-222-2-22000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-222220000-222-2-222-2000000000000000000000000
χ21222222-2-2-2-222222-2-2-2-222-2-22222000000000000-2-222-2-200000000000000
χ22222222-2-2-2-222222-2-2-2-222-2-2-2-2-2-200000000000022-2-22200000000000000
χ23222222-2-2-2-2222-2-222-2-2-2-2222222000000000000-2-2-2-22200000000000000
χ24222222-2-2-2-2222-2-222-2-2-2-222-2-2-2-20000000000002222-2-200000000000000
χ25222222-2-2-2-2-2-2-222-2-222-2-2220000000000002i−2i2i−2i0000002i−2i2i−2i0000000000
χ26222222-2-2-2-2-2-2-222-2-222-2-222000000000000−2i2i−2i2i000000−2i2i−2i2i0000000000
χ27222222-2-2-2-2-2-2-2-2-2222222-2-20000000000002i−2i−2i2i0000002i−2i−2i2i0000000000
χ28222222-2-2-2-2-2-2-2-2-2222222-2-2000000000000−2i2i2i−2i000000−2i2i2i−2i0000000000
χ292222-2-222-2-222-200002-2000022-2-202020-20-200222-2000000-2-20000000000
χ302222-2-222-2-222-200002-2000022-2-20-20-2020200-2-22-2000000220000000000
χ312222-2-222-2-222-200002-20000-2-22202020-20-200-2-2-22000000220000000000
χ322222-2-222-2-222-200002-20000-2-2220-20-202020022-22000000-2-20000000000
χ332222-2-222-2-2-2-220000-2200000000020-20-2022i−2i00002i−2i2i−2i−2i2i000000000000
χ342222-2-222-2-2-2-220000-2200000000020-20-202−2i2i0000−2i2i−2i2i2i−2i000000000000
χ352222-2-222-2-2-2-220000-22000000000-202020-22i−2i0000−2i2i−2i2i−2i2i000000000000
χ362222-2-222-2-2-2-220000-22000000000-202020-2−2i2i00002i−2i2i−2i2i−2i000000000000
χ372222-2-2-2-22222-20000-22000022-2-22020-20-202200-220000-2-2000000000000
χ382222-2-2-2-22222-20000-22000022-2-2-20-202020-2-200-22000022000000000000
χ392222-2-2-2-22222-20000-220000-2-2222020-20-20-2-2002-2000022000000000000
χ402222-2-2-2-22222-20000-220000-2-222-20-20202022002-20000-2-2000000000000
χ412222-2-2-2-222-2-2200002-20000000020-20-2020002i−2i002i−2i−2i2i00−2i2i0000000000
χ422222-2-2-2-222-2-2200002-20000000020-20-202000−2i2i00−2i2i2i−2i002i−2i0000000000
χ432222-2-2-2-222-2-2200002-200000000-202020-20002i−2i00−2i2i2i−2i00−2i2i0000000000
χ442222-2-2-2-222-2-2200002-200000000-202020-2000−2i2i002i−2i−2i2i002i−2i0000000000
χ4544-4-40000004-4000000000004-40000000000000000000000002-22-2000000
χ4644-4-40000004-4000000000004-4000000000000000000000000-22-22000000
χ4744-4-40000004-400000000000-440000000000000000000000002-2-22000000
χ4844-4-40000004-400000000000-44000000000000000000000000-222-2000000
χ494-44-44-44-44-40004-44-4000000000000000000000000000000000000000000
χ504-44-44-44-44-4000-44-44000000000000000000000000000000000000000000
χ514-44-44-4-44-440004-4-44000000000000000000000000000000000000000000
χ524-44-44-4-44-44000-444-4000000000000000000000000000000000000000000
χ534-44-4-444-4-440000000004i−4i4i−4i000000000000000000000000000000000000
χ544-44-4-444-4-44000000000−4i4i−4i4i000000000000000000000000000000000000
χ554-44-4-44-444-40000000004i−4i−4i4i000000000000000000000000000000000000
χ564-44-4-44-444-4000000000−4i4i4i−4i000000000000000000000000000000000000
χ5788-8-8000000-8800000000000000000000000000000000000000000000000
χ588-8-8800000000000000000000042−4200000000000000000000000000000000
χ598-8-88000000000000000000000−424200000000000000000000000000000000

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