Finite Group Databasebeta

← Group #488568

Character table — Group #488568

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444444444444888888881616161616161616161616161616161632323232
order1222224444224444448888448888882244444416161616161616162444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-111-1-1-1-11-111-1-11-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-11111-1-111-1-1-1-11-111-1-11-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-11111-1-111-1-1-1-1-11-1-111-111111-1-1-1-1-1-111
χ811111111111111-1-1-1-11111-1-111-1-1-1-1-11-1-111-11-1-1-1-1111111-1-1
χ91111111-1-11-1-11-111-1-11111-11-1-111-1-11-1-1-1111-111-1-111-1-11-11-1
χ101111111-1-11-1-11-111-1-11111-11-1-111-1-11-1-1-1111-1-1-111-1-111-11-11
χ111111111-1-11-1-11-111-1-11111-11-1-111-1-1-1111-1-1-1111-1-111-1-1-11-11
χ121111111-1-11-1-11-111-1-11111-11-1-111-1-1-1111-1-1-11-1-111-1-1111-11-1
χ131111111-1-11-1-11-1-1-11111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ141111111-1-11-1-11-1-1-11111111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ151111111-1-11-1-11-1-1-11111111-1-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ161111111-1-11-1-11-1-1-11111111-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
χ17222222222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ192222222-2-22-2-22-222-2-2-2-2-2-2-2222-2-22200000000000000000000
χ202222222-2-22-2-22-2-2-222-2-2-2-22-22222-2-200000000000000000000
χ21222222-222-2-2-2-2222220000-2-2000000000000002−22−22−22−20000
χ22222222-222-2-2-2-2222220000-2-200000000000000−22−22−22−220000
χ23222222-222-2-2-2-22-2-2-2-2000022000000000000002−22−2−22−220000
χ24222222-222-2-2-2-22-2-2-2-200002200000000000000−22−222−22−20000
χ25222222-2-2-2-222-2-222-2-200002-2000000000000002−2−222−2−220000
χ26222222-2-2-2-222-2-222-2-200002-200000000000000−222−2−222−20000
χ27222222-2-2-2-222-2-2-2-2220000-22000000000000002−2−22−222−20000
χ28222222-2-2-2-222-2-2-2-2220000-2200000000000000−222−22−2−220000
χ292222-2-222222-2-2-2000022-2-2002-2000002002-20-2000000000000
χ302222-2-222222-2-2-2000022-2-2002-200000-200-2202000000000000
χ312222-2-222222-2-2-20000-2-22200-220000202-200-20000000000000
χ322222-2-222222-2-2-20000-2-22200-220000-20-220020000000000000
χ332222-2-22-2-22-22-22000022-2-200-2200000200-220-2000000000000
χ342222-2-22-2-22-22-22000022-2-200-2200000-2002-202000000000000
χ352222-2-22-2-22-22-220000-2-222002-2000020-2200-20000000000000
χ362222-2-22-2-22-22-220000-2-222002-20000-202-20020000000000000
χ374444-4-4-444-4-444-4000000000000000000000000000000000000
χ384444-4-4-4-4-4-44-444000000000000000000000000000000000000
χ394-4-444-4000000004i−4i0022−2222−2200002i2−2i20000000000000000000000
χ404-4-444-4000000004i−4i00−2222−22220000−2i22i20000000000000000000000
χ414-4-444-400000000−4i4i0022−2222−220000−2i22i20000000000000000000000
χ424-4-444-400000000−4i4i00−2222−222200002i2−2i20000000000000000000000
χ434-4-44-4400000000004-422−22−222200000022−2200000000000000000000
χ444-4-44-4400000000004-4−222222−22000000−222200000000000000000000
χ454-4-44-440000000000-4422−22−2222000000−222200000000000000000000
χ464-4-44-440000000000-44−222222−2200000022−2200000000000000000000
χ4788-8-80008i−8i00000000000000000000000000000000000000000
χ4888-8-8000−8i8i00000000000000000000000000000000000000000
χ498-88-800800-80000000000000000000000000000000000000000
χ508-88-800-80080000000000000000000000000000000000000000

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