Finite Group Databasebeta

← Group #263173

Character table — Group #263173

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222224444488888881616161616161616161616161616161616161616161616161616
order12222244444444488244488824444444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1
χ3111111111111111111111111-1-1-111-1-1-1-1-111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111
χ511111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1
χ611111111111111111-1-1-1-1111111-1-11-1-1-1-111-111-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1111111
χ811111111111111111-1-1-1-1111-1-1-1-1-1-1111111-1111111-1-1-1-1-1-1-1
χ9111111111111111-1-11111-1-1-11-1-111111-1-1-1-1-11111-1-1-1-1-111-1-1
χ10111111111111111-1-11111-1-1-11-1-1-1-1111-1-111-1-1-1-1-111-111-1-111
χ11111111111111111-1-11111-1-1-1-11111-1-1-111-1-1-111-1-111-1-1-1-1-111
χ12111111111111111-1-11111-1-1-1-111-1-1-1-1-11111-1-1-111-1-1-11111-1-1
χ13111111111111111-1-1-1-1-1-1-1-1-11-1-1111-1-111111-1-111-1-11-1-1-1-111
χ14111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11-1-111-1-1111-1-11111111-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1111-1-1-1-1111-1-111-1-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111111-1-1111-1-111
χ172222222-2-2222-2-2-2222-2-222-2-2000000000000-20000002000000
χ182222222-2-2222-2-2-222-222-22-2-20000000000002000000-2000000
χ192222222-2-2222-2-2-2-2-22-2-22-2220000000000002000000-2000000
χ202222222-2-2222-2-2-2-2-2-222-2-222000000000000-20000002000000
χ212222-2-22222-2-2-2-220022-2-20000002-2000000002-200000000000
χ222222-2-22222-2-2-2-220022-2-2000000-2200000000-2200000000000
χ232222-2-22222-2-2-2-2200-2-2220000002-200000000-2200000000000
χ242222-2-22222-2-2-2-2200-2-222000000-22000000002-200000000000
χ252222-2-22-2-22-2-222-2002-22-200000000000002i−2i000000002i−2i0000
χ262222-2-22-2-22-2-222-2002-22-20000000000000−2i2i00000000−2i2i0000
χ272222-2-22-2-22-2-222-200-22-2200000000000002i−2i00000000−2i2i0000
χ282222-2-22-2-22-2-222-200-22-220000000000000−2i2i000000002i−2i0000
χ292222-2-2-222-2222-2-2220000-22-222-200-200000000000000000000
χ302222-2-2-222-2222-2-2220000-22-2-2-2200200000000000000000000
χ312222-2-2-222-2222-2-2-2-200002-222-2200-200000000000000000000
χ322222-2-2-222-2222-2-2-2-200002-22-22-200200000000000000000000
χ332222-2-2-2-2-2-222-222220000-2-220000002-22-20000000000000000
χ342222-2-2-2-2-2-222-222220000-2-22000000-22-220000000000000000
χ352222-2-2-2-2-2-222-222-2-2000022-20000002-2-220000000000000000
χ362222-2-2-2-2-2-222-222-2-2000022-2000000-222-20000000000000000
χ37444444-444-4-4-4-44-400000000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4400000000000000000000000000000000000
χ394-4-444-4400-4-440000000000000000000000000002i2−2i2000000000
χ404-4-444-4400-4-44000000000000000000000000000−2i22i2000000000
χ414-4-444-4-40044-40000000000000000000000000000000000002i2−2i2
χ424-4-444-4-40044-4000000000000000000000000000000000000−2i22i2
χ434-4-44-44400-44-400000000000000000000000000000000002i2−2i200
χ444-4-44-44400-44-40000000000000000000000000000000000−2i22i200
χ454-4-44-44-4004-440000000000000000000000000000022−220000000
χ464-4-44-44-4004-4400000000000000000000000000000−22220000000
χ4788-8-80000000000042−42000000000000000000000000000000000
χ4888-8-800000000000−4242000000000000000000000000000000000
χ498-88-80008-800000000000000000000000000000000000000000
χ508-88-8000-8800000000000000000000000000000000000000000

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