Finite Group Databasebeta

← Group #238366

Character table — Group #238366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444488888888888888881616161616161616161616161616161616161616
order12222222224444444444444444444444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111
χ91111-1-1-1-111-1-1-1-111111-1-111-1-1111-1-111-1-11111-1-1-1-111-1-11-111-1-11-111-1-111-1-1
χ101111-1-1-1-111-1-1-1-111111-1-111-1-1111-1-111-1-11111-1-1-1-1-1-111-11-1-111-1111-1-1-1-111
χ111111-1-1-1-111-1-1-1-111111-1-111-1-1111-1-111-1-1-1-1-1-1111111-1-1-11-1-111-11-1-11111-1-1
χ121111-1-1-1-111-1-1-1-111111-1-111-1-1111-1-111-1-1-1-1-1-11111-1-1111-111-1-11-1-1-111-1-111
χ131111-1-1-1-111-1-1-1-111111-1-111-1-11-1-111-1-1111111-1-1-1-111-1-1-1111-1-1-11-1-111-1-111
χ141111-1-1-1-111-1-1-1-111111-1-111-1-11-1-111-1-1111111-1-1-1-1-1-1111-1-1-1111-1-1-11111-1-1
χ151111-1-1-1-111-1-1-1-111111-1-111-1-11-1-111-1-111-1-1-1-1111111-1-11-1-1-1111-111-1-1-1-111
χ161111-1-1-1-111-1-1-1-111111-1-111-1-11-1-111-1-111-1-1-1-11111-1-111-1111-1-1-1111-1-111-1-1
χ17222222222222-2-2-2-222-2-2-22-22-2-200000000000000000000220000-2-200000000
χ18222222222222-2-2-2-222-2-2-22-22-2-200000000000000000000-2-200002200000000
χ192222222222-2-222-2-2-2-2-2-2-2-22-2222222-2-2-2-20000000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-22-222-2-2-2-222220000000000000000000000000000
χ212222222222-2-2-2-222-2-2222-2-2-2-2-200000000000000000000002-22-20000000000
χ222222222222-2-2-2-222-2-2222-2-2-2-2-20000000000000000000000-22-220000000000
χ23222222-2-2-2-222222222-22-2-22-2-2-2000000000000000000000000000000002i−2i2i−2i
χ24222222-2-2-2-222222222-22-2-22-2-2-200000000000000000000000000000000−2i2i−2i2i
χ25222222-2-2-2-222-2-2-2-2222-22-2-2-222000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ26222222-2-2-2-222-2-2-2-2222-22-2-2-22200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ27222222-2-2-2-2-2-222-2-2-2-22-22222-2-200000000000000002-22-20000000000000000
χ28222222-2-2-2-2-2-222-2-2-2-22-22222-2-20000000000000000-22-220000000000000000
χ29222222-2-2-2-2-2-2-2-222-2-2-22-22-222200000000000000000000000000002i−2i2i−2i0000
χ30222222-2-2-2-2-2-2-2-222-2-2-22-22-22220000000000000000000000000000−2i2i−2i2i0000
χ312222-2-222-2-2222222-2-2-2-222-2-2-2200000000000000000000000000002i−2i−2i2i0000
χ322222-2-222-2-2222222-2-2-2-222-2-2-220000000000000000000000000000−2i2i2i−2i0000
χ332222-2-222-2-222-2-2-2-2-2-222-222-22-200000000000000002-2-220000000000000000
χ342222-2-222-2-222-2-2-2-2-2-222-222-22-20000000000000000-222-20000000000000000
χ352222-2-222-2-2-2-222-2-22222-2-2-22-22000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ362222-2-222-2-2-2-222-2-22222-2-2-22-2200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ372222-2-222-2-2-2-2-2-22222-2-22-2222-2000000000000000000000000000000002i−2i−2i2i
χ382222-2-222-2-2-2-2-2-22222-2-22-2222-200000000000000000000000000000000−2i2i2i−2i
χ392222-2-2-2-222222222-2-22-2-2-2-222-200000000000000000000002-2-220000000000
χ402222-2-2-2-222222222-2-22-2-2-2-222-20000000000000000000000-222-20000000000
χ412222-2-2-2-22222-2-2-2-2-2-2-222-222-2222-2-2-2-2220000000000000000000000000000
χ422222-2-2-2-22222-2-2-2-2-2-2-222-222-22-2-22222-2-20000000000000000000000000000
χ432222-2-2-2-222-2-222-2-222-2222-2-22-2000000000000000000002-20000-2200000000
χ442222-2-2-2-222-2-222-2-222-2222-2-22-200000000000000000000-2200002-200000000
χ4544-4-44-44-44-40000000000000000000000002-22-22-22-200000000000000000000
χ4644-4-44-44-44-4000000000000000000000000-22-22-22-2200000000000000000000
χ4744-4-44-4-44-440000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ4844-4-44-4-44-44000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ4944-4-4-444-4-440000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ5044-4-4-444-4-44000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ5144-4-4-44-444-40000000000000000000000002-22-2-22-2200000000000000000000
χ5244-4-4-44-444-4000000000000000000000000-22-222-22-200000000000000000000
χ534-44-40000004-44i−4i4i−4i00000000002-22i−2i2i−2i2-20000000000000000000000000000
χ544-44-40000004-44i−4i4i−4i0000000000-22−2i2i−2i2i-220000000000000000000000000000
χ554-44-40000004-4−4i4i−4i4i00000000002-2−2i2i−2i2i2-20000000000000000000000000000
χ564-44-40000004-4−4i4i−4i4i0000000000-222i−2i2i−2i-220000000000000000000000000000
χ574-44-4000000-444i−4i−4i4i00000000002-22i−2i−2i2i-220000000000000000000000000000
χ584-44-4000000-444i−4i−4i4i0000000000-22−2i2i2i−2i2-20000000000000000000000000000
χ594-44-4000000-44−4i4i4i−4i00000000002-2−2i2i2i−2i-220000000000000000000000000000
χ604-44-4000000-44−4i4i4i−4i0000000000-222i−2i−2i2i2-20000000000000000000000000000
χ618-8-880000000000008i−8i00000000000000000000000000000000000000000000
χ628-8-88000000000000−8i8i00000000000000000000000000000000000000000000

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