Finite Group Databasebeta

← Group #263150

Character table — Group #263150

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222224444488888881616161616161616161616161616161616161616161616161616
order12222244444444488244488822222444444488888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-11111-1-1-11-1-1-1-1-1-11-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-1111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111
χ511111111111111111-1-1-1-111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1111111
χ611111111111111111-1-1-1-111111-1-1-111-1-1-111-1111111-1-1-1-1-1-1-1
χ711111111111111111-1-1-1-1111-1-1111-1-1111-1-1-1-1-11111-111-1-1-1-1
χ811111111111111111-1-1-1-1111-1-111-1-1-111-111-111-1-1-1-1-1-1-11111
χ9111111111111111-1-11111-1-1-1111-11-1-11-11-1-1-11111-1-1-1-1-111-1-1
χ10111111111111111-1-11111-1-1-1111-1-1-1-11-1-111-1-1-1-1-111-111-1-111
χ11111111111111111-1-11111-1-1-1-1-1-11111-111-1-1-111-1-111-1-1-1-1-111
χ12111111111111111-1-11111-1-1-1-1-1-11-111-11-111-1-1-111-1-1-11111-1-1
χ13111111111111111-1-1-1-1-1-1-1-1-111-111-1-1-111111-1-1-1-1111-1-111-1-1
χ14111111111111111-1-1-1-1-1-1-1-1-111-11-1-1-1-11-1-1-111111-1-1111-1-111
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-11-11111-11111-1-111-1-11-1-1-1-111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111-1-11111111-1-1
χ172222222-2-2222-2-2-2222-2-22-2-220000000000002000000-2000000
χ182222222-2-2222-2-2-222-222-2-2-22000000000000-20000002000000
χ192222222-2-2222-2-2-2-2-22-2-2222-2000000000000-20000002000000
χ202222222-2-2222-2-2-2-2-2-222-222-20000000000002000000-2000000
χ212222-2-22222-2-2-2-22002-22-2000000020000-20002-200000000000
χ222222-2-22222-2-2-2-22002-22-20000000-200002000-2200000000000
χ232222-2-22222-2-2-2-2200-22-22000000020000-2000-2200000000000
χ242222-2-22222-2-2-2-2200-22-220000000-2000020002-200000000000
χ252222-2-22-2-22-2-222-20022-2-200000000000002i−2i000000002i−2i0000
χ262222-2-22-2-22-2-222-20022-2-20000000000000−2i2i00000000−2i2i0000
χ272222-2-22-2-22-2-222-200-2-22200000000000002i−2i00000000−2i2i0000
χ282222-2-22-2-22-2-222-200-2-2220000000000000−2i2i000000002i−2i0000
χ292222-2-2-222-2222-2-22200002-2-2002-2000-2200000000000000000
χ302222-2-2-222-2222-2-22200002-2-200-220002-200000000000000000
χ312222-2-2-222-2222-2-2-2-20000-2220022000-2-200000000000000000
χ322222-2-2-222-2222-2-2-2-20000-22200-2-20002200000000000000000
χ332222-2-2-2-2-2-222-222220000-22-22-20002-20000000000000000000
χ342222-2-2-2-2-2-222-222220000-22-2-22000-220000000000000000000
χ352222-2-2-2-2-2-222-222-2-200002-222-2000-220000000000000000000
χ362222-2-2-2-2-2-222-222-2-200002-22-220002-20000000000000000000
χ37444444-444-4-4-4-44-400000000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4400000000000000000000000000000000000
χ394-4-444-4400-44-40000000000000000000000000000000000002i2−2i2
χ404-4-444-4400-44-4000000000000000000000000000000000000−2i22i2
χ414-4-444-4-4004-4400000000000000000000000000022−22000000000
χ424-4-444-4-4004-44000000000000000000000000000−2222000000000
χ434-4-44-44400-4-440000000000000000000000000000022−220000000
χ444-4-44-44400-4-4400000000000000000000000000000−22220000000
χ454-4-44-44-40044-4000000000000000000000000000000000022−2200
χ464-4-44-44-40044-40000000000000000000000000000000000−222200
χ4788-8-8000000000004i2−4i2000000000000000000000000000000000
χ4888-8-800000000000−4i24i2000000000000000000000000000000000
χ498-88-80008-800000000000000000000000000000000000000000
χ508-88-8000-8800000000000000000000000000000000000000000

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