Finite Group Databasebeta

← Group #242748

Character table — Group #242748

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222224444444488888888888888881616161616161616161616161616161616161616
order12222222224444444444444444888888888888888844448888888888888888
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
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111
χ9111111-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1111-111-1-111-1-1-1-11-1
χ10111111-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-11111-11
χ11111111-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111111-1-1-111-1-111-1-11-1
χ12111111-1-1-1-1-1-11111111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1-111-1-111-11
χ13111111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1111-1-1-1-111-1-1-11
χ14111111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11-1-1-11111-1-1111-1
χ15111111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-11-1-11111-1-1-1-1-11
χ16111111-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-111-1-1-1-111111-1
χ172222222222222-2-2-22-222-2-2-2-2-2-2000000000000000000002i−2i00000000002i−2i00
χ182222222222222-2-2-22-222-2-2-2-2-2-200000000000000000000−2i2i0000000000−2i2i00
χ192222222222-2-2-2222-22-2-222-2-2-2-200000000000000000000000000002-22-20000
χ202222222222-2-2-2222-22-2-222-2-2-2-20000000000000000000000000000-22-220000
χ212222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002-22-20000000000000000
χ222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000-22-220000000000000000
χ23222222-2-2-2-222-2222-22-22-2-2-2-22200000000000000000000000000002-2-220000
χ24222222-2-2-2-222-2222-22-22-2-2-2-2220000000000000000000000000000-222-20000
χ25222222-2-2-2-222-2-2-2-2-2-2-222222-2-200000000000000002-2-220000000000000000
χ26222222-2-2-2-222-2-2-2-2-2-2-222222-2-20000000000000000-222-20000000000000000
χ27222222-2-2-2-2-2-22-2-2-22-22-222-2-222000000000000000000002i−2i0000000000−2i2i00
χ28222222-2-2-2-2-2-22-2-2-22-22-222-2-22200000000000000000000−2i2i00000000002i−2i00
χ292222-2-222-2-22222-2-222-2-22-22-22-222-2-222-2-20000000000000000000000000000
χ302222-2-222-2-22222-2-222-2-22-22-22-2-2-222-2-2220000000000000000000000000000
χ312222-2-222-2-2222-2222-2-2-2-22-22-220000000000000000000000220000000000-2-2
χ322222-2-222-2-2222-2222-2-2-2-22-22-220000000000000000000000-2-2000000000022
χ332222-2-222-2-2-2-2-22-2-2-22222-2-22-220000000000000000000000002i−2i2i−2i00000000
χ342222-2-222-2-2-2-2-22-2-2-22222-2-22-22000000000000000000000000−2i2i−2i2i00000000
χ352222-2-222-2-2-2-2-2-222-2-222-222-22-2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ362222-2-222-2-2-2-2-2-222-2-222-222-22-200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ372222-2-2-2-22222-22-2-2-222-2-22-222-20000000000000000000000002i−2i−2i2i00000000
χ382222-2-2-2-22222-22-2-2-222-2-22-222-2000000000000000000000000−2i2i2i−2i00000000
χ392222-2-2-2-22222-2-222-2-22-22-22-2-22000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ402222-2-2-2-22222-2-222-2-22-22-22-2-2200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ412222-2-2-2-222-2-222-2-222-22-222-2-2222-2-2-2-2220000000000000000000000000000
χ422222-2-2-2-222-2-222-2-222-22-222-2-22-2-22222-2-20000000000000000000000000000
χ432222-2-2-2-222-2-22-2222-2-222-2-222-200000000000000000000002-20000000000-22
χ442222-2-2-2-222-2-22-2222-2-222-2-222-20000000000000000000000-2200000000002-2
χ4544-4-4004-4004-44000-40000000000022−220022−220000000000000000000000000000
χ4644-4-4004-4004-44000-400000000000−222200−22220000000000000000000000000000
χ4744-4-4004-400-44-400040000000002i2−2i2002i2−2i2000000000000000000000000000000
χ4844-4-4004-400-44-40004000000000−2i22i200−2i22i2000000000000000000000000000000
χ4944-4-400-44004-4-400040000000002i2−2i200−2i22i2000000000000000000000000000000
χ5044-4-400-44004-4-40004000000000−2i22i2002i2−2i2000000000000000000000000000000
χ5144-4-400-4400-444000-40000000000022−2200−22220000000000000000000000000000
χ5244-4-400-4400-444000-400000000000−22220022−220000000000000000000000000000
χ534-44-44-4000000044-40-40000000000000000000022−2222−2200000000000000000000
χ544-44-44-4000000044-40-400000000000000000000−2222−222200000000000000000000
χ554-44-44-40000000-4-440400000000000000002i2−2i22i2−2i2000000000000000000000000
χ564-44-44-40000000-4-44040000000000000000−2i22i2−2i22i2000000000000000000000000
χ574-44-4-4400000004-440-4000000000000000022−22−2222000000000000000000000000
χ584-44-4-4400000004-440-40000000000000000−222222−22000000000000000000000000
χ594-44-4-440000000-44-404000000000000000000002i2−2i2−2i22i200000000000000000000
χ604-44-4-440000000-44-40400000000000000000000−2i22i22i2−2i200000000000000000000
χ618-8-8800008-80000000000000000000000000000000000000000000000000000
χ628-8-880000-880000000000000000000000000000000000000000000000000000

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