Finite Group Databasebeta

← Group #238296

Character table — Group #238296

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444488888888888888881616161616161616161616161616161616161616
order12222222222222444422444444444444448888888844444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111
χ9111111-1-1-1-11111-1-111-1-111-1-1-111111-1-1-1-11111-1-1-1-11-11-111-1-1111-1-1-11-111-1-1
χ10111111-1-1-1-11111-1-111-1-111-1-1-111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-1-1111-11-1-111
χ11111111-1-1-1-11111-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-1111-1111-1-1
χ12111111-1-1-1-11111-1-111-1-111-1-1-111111-1-1-1-1-1-1-1-11111-11-11-1-111111-1-1-11-1-1-111
χ13111111-1-1-1-11111-1-111-1-111-1-1-11-1-1-1-111111111-1-1-1-1-11-1111-1-111-11-1-1-11-1-111
χ14111111-1-1-1-11111-1-111-1-111-1-1-11-1-1-1-111111111-1-1-1-1-11-11-1-111-1-11-1111-111-1-1
χ15111111-1-1-1-11111-1-111-1-111-1-1-11-1-1-1-11111-1-1-1-111111-11-111-1-1-1-11-1111-1-1-111
χ16111111-1-1-1-11111-1-111-1-111-1-1-11-1-1-1-11111-1-1-1-111111-11-1-1-11111-11-1-1-1111-1-1
χ1722222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000002-200-220000
χ1822222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000000000-22002-20000
χ192222222222-2-2-2-22222-2-2-2-22-2-22000000000000000000002i−2i2i−2i000000000000
χ202222222222-2-2-2-22222-2-2-2-22-2-2200000000000000000000−2i2i−2i2i000000000000
χ212222222222-2-2-2-2-2-2-2-2-2-222-222-2000000000000000022-2-20000000000000000
χ222222222222-2-2-2-2-2-2-2-2-2-222-222-20000000000000000-2-2220000000000000000
χ23222222-2-2-2-2222222-2-2-2-2-2-2222-2000000000000000000000000002200-2-20000
χ24222222-2-2-2-2222222-2-2-2-2-2-2222-200000000000000000000000000-2-200220000
χ25222222-2-2-2-2-2-2-2-222-2-222222-2-2-200000000000000002-2-220000000000000000
χ26222222-2-2-2-2-2-2-2-222-2-222222-2-2-20000000000000000-222-20000000000000000
χ27222222-2-2-2-2-2-2-2-2-2-22222-2-2-2222000000000000000000002i−2i−2i2i000000000000
χ28222222-2-2-2-2-2-2-2-2-2-22222-2-2-222200000000000000000000−2i2i2i−2i000000000000
χ292222-2-222-2-222-2-222222-22-2-22-2-2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ302222-2-222-2-222-2-222222-22-2-22-2-200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ312222-2-222-2-222-2-2-2-2-2-22-2-222-222000000000000000000000000000000002i−2i2i−2i
χ322222-2-222-2-222-2-2-2-2-2-22-2-222-22200000000000000000000000000000000−2i2i−2i2i
χ332222-2-222-2-2-2-2222222-22-22-2-22-20000000000000000000000002-2002-2000000
χ342222-2-222-2-2-2-2222222-22-22-2-22-2000000000000000000000000-2200-22000000
χ352222-2-222-2-2-2-222-2-2-2-2-222-222-2222-2-222-2-20000000000000000000000000000
χ362222-2-222-2-2-2-222-2-2-2-2-222-222-22-2-222-2-2220000000000000000000000000000
χ372222-2-2-2-22222-2-222-2-2-22-22-22-22000000000000000000000000000000002i−2i−2i2i
χ382222-2-2-2-22222-2-222-2-2-22-22-22-2200000000000000000000000000000000−2i2i2i−2i
χ392222-2-2-2-22222-2-2-2-222-222-22-22-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ402222-2-2-2-22222-2-2-2-222-222-22-22-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ412222-2-2-2-222-2-22222-2-22-22-2-2-22222-2-2-2-2220000000000000000000000000000
χ422222-2-2-2-222-2-22222-2-22-22-2-2-222-2-22222-2-20000000000000000000000000000
χ432222-2-2-2-222-2-222-2-2222-2-2222-2-20000000000000000000000002-200-22000000
χ442222-2-2-2-222-2-222-2-2222-2-2222-2-2000000000000000000000000-22002-2000000
χ4544-4-44-400004-44-400000000000000000000000022−2222−2200000000000000000000
χ4644-4-44-400004-44-4000000000000000000000000−2222−222200000000000000000000
χ4744-4-44-40000-44-44000000000000000000002i2−2i22i2−2i2000000000000000000000000
χ4844-4-44-40000-44-4400000000000000000000−2i22i2−2i22i2000000000000000000000000
χ4944-4-4-4400004-4-440000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5044-4-4-4400004-4-44000000000000000000000000−2i22i22i2−2i200000000000000000000
χ5144-4-4-440000-444-40000000000000000000022−22−2222000000000000000000000000
χ5244-4-4-440000-444-400000000000000000000−222222−22000000000000000000000000
χ534-44-4004-40000004i−4i4i−4i000000002-22i−2i2-22i−2i0000000000000000000000000000
χ544-44-4004-40000004i−4i4i−4i00000000-22−2i2i-22−2i2i0000000000000000000000000000
χ554-44-4004-4000000−4i4i−4i4i000000002-2−2i2i2-2−2i2i0000000000000000000000000000
χ564-44-4004-4000000−4i4i−4i4i00000000-222i−2i-222i−2i0000000000000000000000000000
χ574-44-400-440000004i−4i−4i4i000000002-2−2i2i-222i−2i0000000000000000000000000000
χ584-44-400-440000004i−4i−4i4i00000000-222i−2i2-2−2i2i0000000000000000000000000000
χ594-44-400-44000000−4i4i4i−4i000000002-22i−2i-22−2i2i0000000000000000000000000000
χ604-44-400-44000000−4i4i4i−4i00000000-22−2i2i2-22i−2i0000000000000000000000000000
χ618-8-8800008-80000000000000000000000000000000000000000000000000000
χ628-8-880000-880000000000000000000000000000000000000000000000000000

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