Finite Group Databasebeta

← Group #348128

Character table — Group #348128

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222222224444488888888888822244444444488888888882244444444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1-11-1-1-111-1-1-11-111-1-1-1-111-1-111-1-11-111-1-1
χ611111111111111111111111-1-1-1-1-11-1-1-111-1-1-11-111-1-1-1-111-1-1-1-111-11-1-111
χ711111111111111111111111-1-1-1-1-1-11-1-1-1-111-1-11-1-111-1-1-1-11111-1-11-1-1-111
χ811111111111111111111111-1-1-1-1-1-11-1-1-1-111-1-11-1-111-1-1-1-111-1-111-1111-1-1
χ9111111111111111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-11-1-1-11111-1-1111111-1-11-11-1
χ10111111111111111-1-1-1-1-1-1-1-11111-11-1-1-111-1-1-11-1-1-11111-1-111-1-1-1-111-11-11
χ11111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-1111-1-11111-1-11111-1-1-11-11
χ12111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-1111-1-11111-1-1-1-1-1-1111-11-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11
χ14111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-11111-1-1111111-1-1-11-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-11111-1-11111-1-1111-11-1-11
χ172222222222-2-2-2-2-200000000000022-22-22-22-2-2-2200000000000000000000
χ182222222222-2-2-2-2-20000000000002-222-2-22-22-22-200000000000000000000
χ192222222222-2-2-2-2-2000000000000-222-222-2-222-2-200000000000000000000
χ202222222222-2-2-2-2-2000000000000-2-2-2-22-222-222200000000000000000000
χ2122222-2-2-22-2222-2-20000000022-2-20020000-2-200222002-2-2-2000000000000
χ2222222-2-2-22-2222-2-20000000022-2-200-200002200-2-2-2002-222000000000000
χ2322222-2-2-22-2222-2-200000000-2-2220020000-2-2002-2-200-2222000000000000
χ2422222-2-2-22-2222-2-200000000-2-22200-200002200-22200-22-2-2000000000000
χ2522222-2-2-22-2-2-2-2222i2i−2i−2i2i2i−2i−2i000000200002-200-2002i−2i00002i−2i0000000000
χ2622222-2-2-22-2-2-2-2222i2i−2i−2i2i2i−2i−2i000000-20000-2200200−2i2i0000−2i2i0000000000
χ2722222-2-2-22-2-2-2-222−2i−2i2i2i−2i−2i2i2i000000200002-200-200−2i2i0000−2i2i0000000000
χ2822222-2-2-22-2-2-2-222−2i−2i2i2i−2i−2i2i2i000000-20000-22002002i−2i00002i−2i0000000000
χ292222-22-2-2-2222-22-20000000022-2-202000-2-2000200022-2200-2-20000000000
χ302222-22-2-2-2222-22-20000000022-2-20-200022000-2000-2-2-2200220000000000
χ312222-22-2-2-2222-22-200000000-2-22202000-2-20002000-2-22-200220000000000
χ322222-22-2-2-2222-22-200000000-2-2220-200022000-2000222-200-2-20000000000
χ332222-22-2-2-22-2-22-222i2i−2i−2i−2i−2i2i2i000002000-22000-202i−2i00002i−2i000000000000
χ342222-22-2-2-22-2-22-222i2i−2i−2i−2i−2i2i2i00000-20002-200020−2i2i0000−2i2i000000000000
χ352222-22-2-2-22-2-22-22−2i−2i2i2i2i2i−2i−2i000002000-22000-20−2i2i0000−2i2i000000000000
χ362222-22-2-2-22-2-22-22−2i−2i2i2i2i2i−2i−2i00000-20002-2000202i−2i00002i−2i000000000000
χ372222-2-222-2-222-2-222222-2-2-2-22222-200220000-2000000-2-200000000000000
χ382222-2-222-2-222-2-222222-2-2-2-2-2-2-2-2200-2-2000020000002200000000000000
χ392222-2-222-2-222-2-22-2-2-2-222222222200-2-200002000000-2-200000000000000
χ402222-2-222-2-222-2-22-2-2-2-22222-2-2-2-2-200220000-20000002200000000000000
χ412222-2-222-2-2-2-222-2000000000000200-220000-2002i−2i2i−2i00−2i2i−2i2i0000000000
χ422222-2-222-2-2-2-222-2000000000000200-220000-200−2i2i−2i2i002i−2i2i−2i0000000000
χ432222-2-222-2-2-2-222-2000000000000-2002-200002002i−2i−2i2i00−2i2i2i−2i0000000000
χ442222-2-222-2-2-2-222-2000000000000-2002-20000200−2i2i2i−2i002i−2i−2i2i0000000000
χ4544-4-4444-4-4-40000022−2222−2222−2222−22000000000000000000000000000000000000
χ4644-4-4444-4-4-400000−2222−2222−2222−2222000000000000000000000000000000000000
χ4744-4-44-4-44-44000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000
χ4844-4-44-4-44-4400000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000
χ4944-4-4-44-444-4000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000
χ5044-4-4-44-444-400000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000
χ5144-4-4-4-44-4440000022−2222−22−2222−2222000000000000000000000000000000000000
χ5244-4-4-4-44-44400000−2222−222222−2222−22000000000000000000000000000000000000
χ534-4-44000000-4400000000000004-400000000000000000000002-22-2000000
χ544-4-44000000-4400000000000004-40000000000000000000000-22-22000000
χ554-4-44000000-440000000000000-4400000000000000000000002-2-22000000
χ564-4-44000000-440000000000000-440000000000000000000000-222-2000000
χ578-88-800000000000000000004i2−4i20000000000000000000000000000000000
χ588-88-80000000000000000000−4i24i20000000000000000000000000000000000
χ598-8-880000008-800000000000000000000000000000000000000000000000

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