Finite Group Databasebeta

← Group #251069

Character table — Group #251069

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444888888888888888161616161616161616161616161616161616161632
order12222244444444444222444444888888222444444448888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1111-1-1-1-1-11-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111-1-1-1-11-1-1-111-1-1-1-1-1-1-1111
χ4111111111111111111111111-1-1-1-1-1-1-1-11-11-1-11111-1-1-11-1-1111-1-1-1
χ51111111111111111111-1-11-1-111-1-11111-11-111-111-111-1-1-1-111-1-1-1-1
χ61111111111111111111-1-11-1-111-1-1-1-1-1-1-11111-1-1-11-1-1-11-1-1-1-11111
χ71111111111111111111-1-11-1-1-1-1111111-1-11-1-1-1-1-11111111-1-11-1-1-1
χ81111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-11111-1111
χ91111111111111-1-111-1-111-11111111111-11-1-1-1-1-1-1-1-1-111-1-111111-1
χ101111111111111-1-111-1-111-1111111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11
χ111111111111111-1-111-1-111-111-1-1-1-11111-1-1111-1111-1-1-1-111-1-1-111-1
χ121111111111111-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111111-1-11
χ131111111111111-1-111-1-1-1-1-1-1-111-1-11111111-1-11-1-11-1-1-1-11111-1-1-11
χ141111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111-111-1111-1-1111-1
χ151111111111111-1-111-1-1-1-1-1-1-1-1-11111111-1-111111-1-1-111-1-1-1-11-1-11
χ161111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-11111-1-1-111-111-1
χ1722222222-222-2-200-2-2002-202-2222200000-2000000000-2000000000
χ1822222222-222-2-200-2-2002-202-2-2-2-2-20000020000000002000000000
χ1922222222-222-2-200-2-200-220-2222-2-200000-20000000002000000000
χ2022222222-222-2-200-2-200-220-22-2-222000002000000000-2000000000
χ21222222-2-22-2-22-222-22-2-200200000000000000002-200000002-20000
χ22222222-2-22-2-22-222-22-2-20020000000000000000-220000000-220000
χ23222222-2-22-2-22-2-2-2-222200-200000000000000002-20000000-220000
χ24222222-2-22-2-22-2-2-2-222200-20000000000000000-2200000002-20000
χ252222-2-22-222-22-2222-22-200-2000000000000200000-2000-200002000
χ262222-2-22-222-22-2222-22-200-2000000000000-200000200020000-2000
χ272222-2-22-222-22-2-2-22-2-22002000000000000200000-200020000-2000
χ282222-2-22-222-22-2-2-22-2-22002000000000000-2000002000-200002000
χ292222-2-2-222-222222-2-2-222-2-2-2200000000-200002000000000000000
χ302222-2-2-222-222222-2-2-22-22-22-20000000020000-2000000000000000
χ312222-2-2-222-2222-2-2-2-22-22-22-220000000020000-2000000000000000
χ322222-2-2-222-2222-2-2-2-22-2-2222-200000000-200002000000000000000
χ332222-2-2-22-2-22-2-2002200220-2-2000000000002-2000000002-2000000
χ342222-2-2-22-2-22-2-2002200220-2-200000000000-2200000000-22000000
χ352222-2-2-22-2-22-2-2002200-2-2022000000000002-200000000-22000000
χ362222-2-2-22-2-22-2-2002200-2-202200000000000-22000000002-2000000
χ37444444-4-4-4-4-4-44004-4000000000000000000000000000000000000
χ384444-4-44-4-44-4-4400-44000000000000000000000000000000000000
χ394-44-40000400-404i−4i00000000000002i2i−2i−2i0000000002-20000000000
χ404-44-40000400-404i−4i0000000000000−2i−2i2i2i000000000-220000000000
χ414-44-40000400-40−4i4i00000000000002i2i−2i−2i000000000-220000000000
χ424-44-40000400-40−4i4i0000000000000−2i−2i2i2i0000000002-20000000000
χ434-4-444-44-40-440000000000000000000000000000000000000002i2−2i20
χ444-4-444-44-40-44000000000000000000000000000000000000000−2i22i20
χ454-4-444-4-4404-40000000000000004i−4i0000000000000000000000000
χ464-4-444-4-4404-4000000000000000−4i4i0000000000000000000000000
χ474-4-44-44440-4-400000000000004i−4i000000000000000000000000000
χ484-4-44-44440-4-40000000000000−4i4i000000000000000000000000000
χ494-4-44-44-4-40440000000000000000022−2222−22000000000000000000000
χ504-4-44-44-4-404400000000000000000−2222−2222000000000000000000000
χ5188-8-80000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5288-8-8000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ538-88-80000-800800000000000000000000000000000000000000000

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