Finite Group Databasebeta

← Group #318589

Character table — Group #318589

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222222244444488888888881616161616161616161616161616161632323232
order12222244444444448888888888888822244444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-111-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-11-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1
χ91111111111111111-1-1-1-1-1-11111-1-1-1-11-11111-1111-1-1-1-1-1-11-11-1
χ101111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-11-1-111-1-11111-11-11
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-111-1-111-1-1-1-1-11-11
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-11-1-1-11111111-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-111111-111-11-1-1-1-111-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-111-11-1-11111-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-11-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-11-11111-1-111-1-11-1-11
χ1722222222-2-222-2-2-2-200000022-2-200000000000000002i−2i2i−2i0000
χ1822222222-2-222-2-2-2-200000022-2-20000000000000000−2i2i−2i2i0000
χ1922222222-2-222-2-2-2-2000000-2-22200000000000000002i−2i−2i2i0000
χ2022222222-2-222-2-2-2-2000000-2-2220000000000000000−2i2i2i−2i0000
χ21222222-2-222-2-222-2-22222-2-2000000002-2000-220000000000000
χ22222222-2-222-2-222-2-22222-2-200000000-220002-20000000000000
χ23222222-2-222-2-222-2-2-2-2-2-2220000000022000-2-20000000000000
χ24222222-2-222-2-222-2-2-2-2-2-22200000000-2-2000220000000000000
χ252222-2-22222-2-2-2-22-222-2-22-200000000000000002i−2i2i−2i00000000
χ262222-2-22222-2-2-2-22-222-2-22-20000000000000000−2i2i−2i2i00000000
χ272222-2-22222-2-2-2-22-2-2-222-2200000000000000002i−2i−2i2i00000000
χ282222-2-22222-2-2-2-22-2-2-222-220000000000000000−2i2i2i−2i00000000
χ292222-2-2-2-22222-2-2-2222-2-2-222-22-222-2-200000000000000000000
χ302222-2-2-2-22222-2-2-2222-2-2-22-22-22-2-22200000000000000000000
χ312222-2-2-2-22222-2-2-22-2-2222-22-22-2-2-22200000000000000000000
χ322222-2-2-2-22222-2-2-22-2-2222-2-22-2222-2-200000000000000000000
χ332222-2-2-2-2-2-222222-20000002-2-220000002-2200-2000000000000
χ342222-2-2-2-2-2-222222-20000002-2-22000000-22-2002000000000000
χ352222-2-2-2-2-2-222222-2000000-222-20000002-2-2002000000000000
χ362222-2-2-2-2-2-222222-2000000-222-2000000-22200-2000000000000
χ37444444-4-4-4-4-4-4-4-4440000000000000000000000000000000000
χ384444-4-444-4-4-4-444-440000000000000000000000000000000000
χ3944-4-44-4004-4004-40000000000002i2−2i22i2−2i200000000000000000000
χ4044-4-44-4004-4004-4000000000000−2i22i2−2i22i200000000000000000000
χ4144-4-44-400-4400-44004i−4i4i−4i000000000000000000000000000000
χ4244-4-44-400-4400-4400−4i4i−4i4i000000000000000000000000000000
χ4344-4-4-44004-400-440000000000002i2−2i2−2i22i200000000000000000000
χ4444-4-4-44004-400-44000000000000−2i22i22i2−2i200000000000000000000
χ4544-4-4-4400-44004-4004i−4i−4i4i000000000000000000000000000000
χ4644-4-4-4400-44004-400−4i4i4i−4i000000000000000000000000000000
χ478-88-8008i−8i000000000000000000000000000000000000000000
χ488-88-800−8i8i000000000000000000000000000000000000000000
χ498-8-880000008-800000000000000000000000000000000000000
χ508-8-88000000-8800000000000000000000000000000000000000

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