Finite Group Databasebeta

← Group #263286

Character table — Group #263286

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222222448888888888888888161616161616161616161616161632323232
order12222244444444444444444488888888222244444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-11-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111-11-1-111-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-11-1-1-1-1-11-11
χ511111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-111-111-1-1-11-11
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-111-1-1111-1-11-11-1
χ711111111111111111111-1-1-1-1-1-1-1-11111-1111-111111-1-111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111111111111111-1-1-1-1111111111111-11-11-1-1-11-11-1-1-1-1-1-111
χ101111111111111111-1-1-1-1111111111111-1-11-1-111-11-1-1-1-1-111-1-1
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-111-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-1-111-1-111-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-11-1111-1-111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111-11-111-1-1-1-111
χ172222222-2-2-2222-2-2-222-2-222-2-2000000002000-20000000000000
χ182222222-2-2-2222-2-2-222-2-2-2-22200000000-200020000000000000
χ192222222-2-2-2222-2-2-2-2-22222-2-200000000-200020000000000000
χ202222222-2-2-2222-2-2-2-2-222-2-222000000002000-20000000000000
χ21222222-2222-2-2-22-2-22-22-20000000022-2-20000000000002-20000
χ22222222-2222-2-2-22-2-22-22-200000000-2-222000000000000-220000
χ23222222-2222-2-2-22-2-2-22-220000000022-2-2000000000000-220000
χ24222222-2222-2-2-22-2-2-22-2200000000-2-2220000000000002-20000
χ25222222-2-2-2-2-2-2-2-2222-2-2200002i2i−2i−2i000000000000002i−2i000000
χ26222222-2-2-2-2-2-2-2-2222-2-220000−2i−2i2i2i00000000000000−2i2i000000
χ27222222-2-2-2-2-2-2-2-222-222-200002i2i−2i−2i00000000000000−2i2i000000
χ28222222-2-2-2-2-2-2-2-222-222-20000−2i−2i2i2i000000000000002i−2i000000
χ292222-2-222-2-2-2-2222-20000000000002-22-2002002-20-2000000000
χ302222-2-222-2-2-2-2222-20000000000002-22-200-200-2202000000000
χ312222-2-222-2-2-2-2222-2000000000000-22-2200200-220-2000000000
χ322222-2-222-2-2-2-2222-2000000000000-22-2200-2002-202000000000
χ332222-2-2-22-2-222-22-220000000000002-2-220202000-20-200000000
χ342222-2-2-22-2-222-22-220000000000002-2-220-20-200020200000000
χ352222-2-2-22-2-222-22-22000000000000-222-2020-2000-20200000000
χ362222-2-2-22-2-222-22-22000000000000-222-20-20200020-200000000
χ374444-4-44-444-4-44-4-440000000000000000000000000000000000
χ384444-4-4-4-44444-4-44-40000000000000000000000000000000000
χ394-4-444-440004-4-4000000000002i2−2i22i2−2i20000000000000000000000
χ404-4-444-440004-4-400000000000−2i22i2−2i22i20000000000000000000000
χ414-4-444-4-4000-4440000000000022−22−22220000000000000000000000
χ424-4-444-4-4000-44400000000000−222222−220000000000000000000000
χ434-4-44-444000-44-400000004i−4i0000000000000000000000000000
χ444-4-44-444000-44-40000000−4i4i0000000000000000000000000000
χ454-4-44-44-40004-440000000004-400000000000000000000000000
χ464-4-44-44-40004-44000000000-4400000000000000000000000000
χ4788-8-800008i−8i0000000000000000000000000000000000000000
χ4888-8-80000−8i8i0000000000000000000000000000000000000000
χ498-88-8000800000-8000000000000000000000000000000000000
χ508-88-8000-8000008000000000000000000000000000000000000

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