Finite Group Databasebeta

← Group #242046

Character table — Group #242046

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444444444444444888888888888888822224444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1111-1111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-1-11111-1-111-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-11-1-11-1-1-1-11-1-1-111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-111-1111-11111
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-11-11-1-111-1-1-1-1111-1-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-1-111-1-11-111-1-1-111
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1111-11-1-1-1-1-11111-111-1-1
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-11-1-11-1-111
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-11-1-1-11111-1-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-11-11-1-1-1-1-1-1111-1-111
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-111-1-111111-1-1-1-111-1-1
χ172222222222-2-222-2-222-2-222-2-2-2-20000000000000000000200-20000-200020000
χ182222222222-2-222-2-222-2-222-2-2-2-20000000000000000000-200200002000-20000
χ192222222222-2-222-2-2-2-222-2-222-2-2000000000000000000020020000-2000-20000
χ202222222222-2-222-2-2-2-222-2-222-2-20000000000000000000-200-20000200020000
χ2122222222-2-222-2-22222-2-2-2-222-2-200000000000000002000-22000000-20000000
χ2222222222-2-222-2-22222-2-2-2-222-2-20000000000000000-20002-200000020000000
χ2322222222-2-222-2-222-2-22222-2-2-2-200000000000000002000-2-200000020000000
χ2422222222-2-222-2-222-2-22222-2-2-2-20000000000000000-200022000000-20000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-222000000000000000002-200002-200000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000-220000-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000002-20000-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000-2200002-200000000000
χ29222-2-2-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i2-2000000000000000000000000000000002-22i−2i
χ30222-2-2-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i2-200000000000000000000000000000000-22−2i2i
χ31222-2-2-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-2000000000000000000000000000000002-2−2i2i
χ32222-2-2-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-200000000000000000000000000000000-222i−2i
χ33222-2-2-22-22-2-222-2-222i−2i−2i2i2i−2i−2i2i-220000000022-2-22i2i−2i−2i00000000000000000000
χ34222-2-2-22-22-2-222-2-222i−2i−2i2i2i−2i−2i2i-2200000000-2-222−2i−2i2i2i00000000000000000000
χ35222-2-2-22-22-2-222-2-22−2i2i2i−2i−2i2i2i−2i-220000000022-2-2−2i−2i2i2i00000000000000000000
χ36222-2-2-22-22-2-222-2-22−2i2i2i−2i−2i2i2i−2i-2200000000-2-2222i2i−2i−2i00000000000000000000
χ37222-2-2-22-2-222-2-222-22i−2i−2i2i−2i2i2i−2i-2200000000000000000000000002-2002i−2i00000
χ38222-2-2-22-2-222-2-222-22i−2i−2i2i−2i2i2i−2i-220000000000000000000000000-2200−2i2i00000
χ39222-2-2-22-2-222-2-222-2−2i2i2i−2i2i−2i−2i2i-2200000000000000000000000002-200−2i2i00000
χ40222-2-2-22-2-222-2-222-2−2i2i2i−2i2i−2i−2i2i-220000000000000000000000000-22002i−2i00000
χ41222-2-2-22-2-22-22-22-222i−2i2i−2i−2i2i−2i2i2-22i2i−2i−2i22-2-20000000000000000000000000000
χ42222-2-2-22-2-22-22-22-222i−2i2i−2i−2i2i−2i2i2-2−2i−2i2i2i-2-2220000000000000000000000000000
χ43222-2-2-22-2-22-22-22-22−2i2i−2i2i2i−2i2i−2i2-22i2i−2i−2i-2-2220000000000000000000000000000
χ44222-2-2-22-2-22-22-22-22−2i2i−2i2i2i−2i2i−2i2-2−2i−2i2i2i22-2-20000000000000000000000000000
χ454-444-44-4-44-400-44000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ464-444-44-4-44-400-4400000000000000000000−2i22i2−2i22i2000000000000000000000000
χ474-444-44-4-4-44004-40000000000000000000000002i2−2i22i2−2i200000000000000000000
χ484-444-44-4-4-44004-4000000000000000000000000−2i22i2−2i22i200000000000000000000
χ494-44-44-4-444400-4-4000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-44-44-4-444400-4-400000000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-44-44-4-44-4-4004400000000000000000000000022−22−222200000000000000000000
χ524-44-44-4-44-4-40044000000000000000000000000−222222−2200000000000000000000
χ534-4-44-4-444004-400-440000000000000022−2222−220000000000000000000000000000
χ544-4-44-4-444004-400-4400000000000000−2222−22220000000000000000000000000000
χ554-4-44-4-44400-44004-4000000000022−2222−2200000000000000000000000000000000
χ564-4-44-4-44400-44004-40000000000−2222−222200000000000000000000000000000000
χ574-4-4-4444-4004400-4-400000000002i2−2i2−2i22i200000000000000000000000000000000
χ584-4-4-4444-4004400-4-40000000000−2i22i22i2−2i200000000000000000000000000000000
χ594-4-4-4444-400-4-400440000000000000022−22−22220000000000000000000000000000
χ604-4-4-4444-400-4-4004400000000000000−222222−220000000000000000000000000000
χ6188-888-8-8-8000000000000000000000000000000000000000000000000000000
χ6288-8-8-88-88000000000000000000000000000000000000000000000000000000

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