Finite Group Databasebeta

← Group #235113

Character table — Group #235113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444488888888888888881616161616161616161616161616161616161616
order12222222224444444444444444222244444444444422244444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-11111
χ91111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11-11-111-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-1-11-11-11-1-11-1-111-1-111-1-111
χ111111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-11111-11-11-111-1-1-111-1-11111-1-1
χ121111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111-11-1111-1-111-1-1-1-111
χ131111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111111111-1-1-1-1-11-11-111-111-1-1-1-111-1-111
χ141111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111-11-11-1-11111-1-111-1-1
χ151111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11-11-1-1-11111-1-1-1-111
χ161111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-111111-11-11-1-1111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2-2-222-2-2-2-20000000022-2-222-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-222-2-2-2-200000000-2-222-2-22200000000000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-2222-20000000022-2-2-2-22200000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-2222-200000000-2-22222-2-200000000000000000000
χ21222222-2-2-2-222-2-22222-2-22-22-2-22000000000000000002-2000-22000000000000
χ22222222-2-2-2-222-2-22222-2-22-22-2-2200000000000000000-220002-2000000000000
χ23222222-2-2-2-222-2-2-2-2-2-2222-2-222-20000000000000000000000002i−2i2i−2i00000000
χ24222222-2-2-2-222-2-2-2-2-2-2222-2-222-2000000000000000000000000−2i2i−2i2i00000000
χ25222222-2-2-2-2-2-22222-2-222-222-2-2-20000000000000000000000002i−2i−2i2i00000000
χ26222222-2-2-2-2-2-22222-2-222-222-2-2-2000000000000000000000000−2i2i2i−2i00000000
χ27222222-2-2-2-2-2-222-2-222-2-2-22-22220000000000000000022000-2-2000000000000
χ28222222-2-2-2-2-2-222-2-222-2-2-22-222200000000000000000-2-200022000000000000
χ292222-2-22-2-2222-2-222222-2-22-22-2-200000000000000000000000000002-22-20000
χ302222-2-22-2-2222-2-222222-2-22-22-2-20000000000000000000000000000-22-220000
χ312222-2-22-2-2222-2-2-2-2-2-2-22-222-222000000000000000000000000000000002-22-2
χ322222-2-22-2-2222-2-2-2-2-2-2-22-222-22200000000000000000000000000000000-22-22
χ332222-2-22-2-22-2-22222-2-2-222-2-22-22000000000000000000000000000000002-2-22
χ342222-2-22-2-22-2-22222-2-2-222-2-22-2200000000000000000000000000000000-222-2
χ352222-2-22-2-22-2-222-2-2222-22-22-22-200000000000000000000000000002-2-220000
χ362222-2-22-2-22-2-222-2-2222-22-22-22-20000000000000000000000000000-222-20000
χ372222-2-2-222-222222222-22-2-2-2-22-20000000000000000200-2-2200000000000000
χ382222-2-2-222-222222222-22-2-2-2-22-20000000000000000-20022-200000000000000
χ392222-2-2-222-22222-2-2-2-22-2-2-222-2222-2-222-2-20000000000000000000000000000
χ402222-2-2-222-22222-2-2-2-22-2-2-222-22-2-222-2-2220000000000000000000000000000
χ412222-2-2-222-2-2-2-2-222-2-22-222-2-22222-2-2-2-2220000000000000000000000000000
χ422222-2-2-222-2-2-2-2-222-2-22-222-2-222-2-22222-2-20000000000000000000000000000
χ432222-2-2-222-2-2-2-2-2-2-222-222222-2-200000000000000002002-2-200000000000000
χ442222-2-2-222-2-2-2-2-2-2-222-222222-2-20000000000000000-200-22200000000000000
χ4544-4-40000004i−4i004i−4i4-4000000002-22-22i−2i2i−2i0000000000000000000000000000
χ4644-4-40000004i−4i004i−4i4-400000000-22-22−2i2i−2i2i0000000000000000000000000000
χ4744-4-40000004i−4i00−4i4i-44000000002-2-222i−2i−2i2i0000000000000000000000000000
χ4844-4-40000004i−4i00−4i4i-4400000000-222-2−2i2i2i−2i0000000000000000000000000000
χ4944-4-4000000−4i4i004i−4i-44000000002-2-22−2i2i2i−2i0000000000000000000000000000
χ5044-4-4000000−4i4i004i−4i-4400000000-222-22i−2i−2i2i0000000000000000000000000000
χ5144-4-4000000−4i4i00−4i4i4-4000000002-22-2−2i2i−2i2i0000000000000000000000000000
χ5244-4-4000000−4i4i00−4i4i4-400000000-22-222i−2i2i−2i0000000000000000000000000000
χ534-44-44-444-4-400000000000000000000000000004i−4i0000000000000000000000
χ544-44-44-444-4-40000000000000000000000000000−4i4i0000000000000000000000
χ554-44-44-4-4-444000000000000000000000000004-4000000000000000000000000
χ564-44-44-4-4-44400000000000000000000000000-44000000000000000000000000
χ574-44-4-444-44-40000000000000000000000000000004i−4i00000000000000000000
χ584-44-4-444-44-4000000000000000000000000000000−4i4i00000000000000000000
χ594-44-4-44-44-440000000000000000000000004-400000000000000000000000000
χ604-44-4-44-44-44000000000000000000000000-4400000000000000000000000000
χ618-8-88000000008-8000000000000000000000000000000000000000000000000
χ628-8-8800000000-88000000000000000000000000000000000000000000000000

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