Finite Group Databasebeta

← Group #347410

Character table — Group #347410

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444444444222222224444444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1111-1-1-111-1111-1-1-1-1-1-1-1111111-1-111-1-1-11-1
χ411111111111111111111-1-1-1-1-1111-1-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11
χ511111111111111111-1-1-1111-1-111-11-1-11-11-1-1-1111-1-1-1-1111111-1-1-1-111-1-11
χ611111111111111111-1-1-1111-1-111-11-1-11-11-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ711111111111111111-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1
χ811111111111111111-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111
χ9111111111111-1-111111-111-111-1-1-1-111-1-1-111-111-1-1-1-1-11111-1-111-1-1-1-1-111
χ10111111111111-1-111111-111-111-1-1-1-111-1-1-111-111-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ11111111111111-1-111111-1-1-11-1-1-1-1-11-1-1-1-1111-1-1-1111111111-1-1-1-1-1-11111-1
χ12111111111111-1-111111-1-1-11-1-1-1-1-11-1-1-1-1111-1-1-111111-1-1-1-1111111-1-1-1-11
χ13111111111111-1-1111-1-1111-1-1-1-1-11-1-1-1-11-1-1-1111-111111111-1-1-1-111-1-11-11
χ14111111111111-1-1111-1-1111-1-1-1-1-11-1-1-1-11-1-1-1111-11111-1-1-1-11111-1-111-11-1
χ15111111111111-1-1111-1-11-1-1111-1-11111-111-1-11-1-11-1-1-1-11111-1-1111111-1-1-1
χ16111111111111-1-1111-1-11-1-1111-1-11111-111-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ172222222-2-22-2-2222-2-20000002-2-2-2002-220000000022-2-2000000000000000
χ182222222-2-22-2-2222-2-2000000-22-2-200-22200000000-2-222000000000000000
χ192222222-2-22-2-2-2-22-2-20000002-222002-2-200000000-2-222000000000000000
χ202222222-2-22-2-2-2-22-2-2000000-222200-22-20000000022-2-2000000000000000
χ21222222-222-22200-2-2-2002002-2-200-2-2220-2-20020020000000000000000000
χ22222222-222-22200-2-2-200200-22200-22-2-20-2200200-20000000000000000000
χ23222222-222-22200-2-2-200-200222002-2-2-202-200-20020000000000000000000
χ24222222-222-22200-2-2-200-200-2-2-200222202200-200-20000000000000000000
χ25222222-2-2-2-2-2-200-2222-202-202-20000-220002-202-200000000000000000000
χ26222222-2-2-2-2-2-200-2222-20-220-2200002-20002-20-2200000000000000000000
χ27222222-2-2-2-2-2-200-222-2202-20-2200002-2000-2202-200000000000000000000
χ28222222-2-2-2-2-2-200-222-220-2202-20000-22000-220-2200000000000000000000
χ292222-2-222-222-222-22-200022-2002-20-200-202000-2-220000000000000000000
χ302222-2-222-222-222-22-2000-2-22002-20200-20-200022-20000000000000000000
χ312222-2-222-222-2-2-2-22-200022200-22020020-2000-2-2-20000000000000000000
χ322222-2-222-222-2-2-2-22-2000-2-2-200-220-2002020002220000000000000000000
χ332222-2-22-222-2222-2-2222-200000-22-2000-220-2-220000000000000000000000
χ342222-2-22-222-2222-2-22-2-2200000-222000-2-2022-20000000000000000000000
χ352222-2-22-222-22-2-2-2-22222000002-220002-20-2-2-20000000000000000000000
χ362222-2-22-222-22-2-2-2-22-2-2-2000002-2-20002202220000000000000000000000
χ372222-2-2-22-2-22-2002-222-2000200000-200002-22000-22-22-2000000000000000
χ382222-2-2-22-2-22-2002-222-2000-20000020000-2-220002-22-22000000000000000
χ392222-2-2-22-2-22-2002-22-22000200000-2000022-2000-2-22-22000000000000000
χ402222-2-2-22-2-22-2002-22-22000-20000020000-22-200022-22-2000000000000000
χ412222-2-2-2-22-2-220022-20022-200000-200002000-2-220-222-2000000000000000
χ422222-2-2-2-22-2-220022-2002-2200000-200002000-22-202-2-22000000000000000
χ432222-2-2-2-22-2-220022-200-22-20000020000-20002-2202-2-22000000000000000
χ442222-2-2-2-22-2-220022-200-2-220000020000-200022-20-222-2000000000000000
χ4544-4-400-4004004i−4i00000000000000000000000000000022-2-22i−2i000000000
χ4644-4-400-4004004i−4i000000000000000000000000000000-2-222−2i2i000000000
χ4744-4-400-400400−4i4i00000000000000000000000000000022-2-2−2i2i000000000
χ4844-4-400-400400−4i4i000000000000000000000000000000-2-2222i−2i000000000
χ494-4-444-404-40-440000000000000000000000000000000000000000002i2−2i2000
χ504-4-444-404-40-44000000000000000000000000000000000000000000−2i22i2000
χ514-4-444-40-4404-400000000000000000000000000000000000000002i2−2i200000
χ524-4-444-40-4404-40000000000000000000000000000000000000000−2i22i200000
χ534-4-44-440440-4-4000000000000000000000000000000002i2−2i22i2−2i200000000000
χ544-4-44-440440-4-400000000000000000000000000000000−2i22i2−2i22i200000000000
χ554-4-44-440-4-40440000000000000000000000000000000000000022−220000000
χ564-4-44-440-4-404400000000000000000000000000000000000000−22220000000
χ5788-8-800800-80000000000000000000000000000000000000000000000000
χ588-88-800000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ598-88-80000000000000000000000000000000000000000−2i22i22i2−2i200000000000

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