Finite Group Databasebeta

← Group #263289

Character table — Group #263289

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222222448888888888888888161616161616161616161616161632323232
order12222244444444444444444488888888244444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-11-1-1-1-11-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1111-111-1-1-1-1-11-11
χ511111111111111111111-1-1-1-11111-1-1-1-11-111-1-1-11-1-111-1-1-11-11
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11-11-1
χ711111111111111111111-1-1-1-1-1-1-1-111111-11111-1111-1-111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111111111111111-1-1-1-11111111111111-11-11-1-1-11-1-1-1-1-111-1-1
χ101111111111111111-1-1-1-1111111111111-1-1-11-11-11-11-1-1-1-1-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-11-1-1-1111111-1-11
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-111-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1-11-1-111-111-1
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-111-1111-1-1-1111-1-11
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-11-11-111-1-1-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1111-1111-1-111-1-1
χ172222222-2-222-2-22-2-222-2-222-2-200000000020000-200000000000
χ182222222-2-222-2-22-2-222-2-2-2-222000000000-20000200000000000
χ192222222-2-222-2-22-2-2-2-22222-2-2000000000-20000200000000000
χ202222222-2-222-2-22-2-2-2-222-2-22200000000020000-200000000000
χ21222222-222-2-222-2-2-22-22-20000000022-2-20000000000002-20000
χ22222222-222-2-222-2-2-22-22-200000000-2-222000000000000-220000
χ23222222-222-2-222-2-2-2-22-220000000022-2-2000000000000-220000
χ24222222-222-2-222-2-2-2-22-2200000000-2-2220000000000002-20000
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
χ292222-2-22-2-2-2-22222-20000000000002-22-220-202000-2000000000
χ302222-2-22-2-2-2-22222-20000000000002-22-2-2020-20002000000000
χ312222-2-22-2-2-2-22222-2000000000000-22-2220-20-20002000000000
χ322222-2-22-2-2-2-22222-2000000000000-22-22-20202000-2000000000
χ332222-2-2-2-2-22222-2-220000000000002-2-220002020-20-200000000
χ342222-2-2-2-2-22222-2-220000000000002-2-22000-20-2020200000000
χ352222-2-2-2-2-22222-2-22000000000000-222-200020-20-20200000000
χ362222-2-2-2-2-22222-2-22000000000000-222-2000-202020-200000000
χ374444-4-4444-4-4-4-44-440000000000000000000000000000000000
χ384444-4-4-44444-4-4-44-40000000000000000000000000000000000
χ3944-4-44-44004-400-4000000000022−2222−220000000000000000000000
χ4044-4-44-44004-400-40000000000−2222−22220000000000000000000000
χ4144-4-44-4-400-4400400000000002i2−2i2−2i22i20000000000000000000000
χ4244-4-44-4-400-440040000000000−2i22i22i2−2i20000000000000000000000
χ4344-4-4-44400-4400-40000004-40000000000000000000000000000
χ4444-4-4-44400-4400-4000000-440000000000000000000000000000
χ4544-4-4-44-4004-4004000000004i−4i00000000000000000000000000
χ4644-4-4-44-4004-400400000000−4i4i00000000000000000000000000
χ478-88-800000008-80000000000000000000000000000000000000
χ488-88-80000000-880000000000000000000000000000000000000
χ498-8-880008i−8i00000000000000000000000000000000000000000
χ508-8-88000−8i8i00000000000000000000000000000000000000000

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