Finite Group Databasebeta

← Group #265385

Character table — Group #265385

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222444444444448888888888888161616161616161616161616161632323232
order12222244224448888882444444488888224444444488884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111-1-1-1-11-1-1-1-111-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111-1-1-1-11111111111-1-1-1111-1-1-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-1111111111-11-1-1-1-1-1111-1-1-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-111111-1-1-1-1-111-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1111-1-11111-1-1
χ91111111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-11-1-11-1-1-1-1111-11-1
χ101111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-111-11-11
χ111111111111111-1-1-1-1-1-11111-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-11-11
χ121111111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-111-111-1-1-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-11111-1-11-1-11
χ141111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1111-1-111-1-1-111-1
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-11-1-1-1111111-111-1
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-111111-1-11
χ1722222222-2-22-2-22222-2-200000000-200000200000-22-200000000
χ1822222222-2-22-2-22222-2-200000000-200000-2000002-2200000000
χ1922222222-2-22-2-2-2-2-2-22200000000200000200000-2-2200000000
χ2022222222-2-22-2-2-2-2-2-22200000000200000-20000022-200000000
χ21222222-2-2-2-2-22200000022-2-20000022-2-2002-200000000000000
χ22222222-2-2-2-2-22200000022-2-200000-2-22200-2200000000000000
χ23222222-2-2-2-2-222000000-2-2220000022-2-200-2200000000000000
χ24222222-2-2-2-2-222000000-2-22200000-2-222002-200000000000000
χ252222-2-2222-2-2-2222-2-22200000000-200002000-22-200000000000
χ262222-2-2222-2-2-2222-2-22200000000-20000-20002-2200000000000
χ272222-2-2222-2-2-22-2-222-2-200000000200002000-2-2200000000000
χ282222-2-2222-2-2-22-2-222-2-20000000020000-200022-200000000000
χ292222-2-222-22-22-222-2-2-2-22-22-20000200000000000000-22000000
χ302222-2-222-22-22-222-2-2-2-2-22-2200002000000000000002-2000000
χ312222-2-222-22-22-2-2-222222-22-20000-2000000000000002-2000000
χ322222-2-222-22-22-2-2-22222-22-220000-200000000000000-22000000
χ332222-2-2-2-22-222-20000002-2-222i2i−2i−2i000000000000000002i−2i0000
χ342222-2-2-2-22-222-20000002-2-22−2i−2i2i2i00000000000000000−2i2i0000
χ352222-2-2-2-22-222-2000000-222-22i2i−2i−2i00000000000000000−2i2i0000
χ362222-2-2-2-22-222-2000000-222-2−2i−2i2i2i000000000000000002i−2i0000
χ37444444-4-444-4-4-40000000000000000000000000000000000000
χ384444-4-4-4-4-444-440000000000000000000000000000000000000
χ3944-4-44-400000002i2−2i22i2−2i20000002-22-20002i2−2i2000000000000000000
χ4044-4-44-400000002i2−2i22i2−2i2000000-22-22000−2i22i2000000000000000000
χ4144-4-44-40000000−2i22i2−2i22i20000002-22-2000−2i22i2000000000000000000
χ4244-4-44-40000000−2i22i2−2i22i2000000-22-220002i2−2i2000000000000000000
χ4344-4-4-4400000002i2−2i2−2i22i20000002i−2i−2i2i022−2200000000000000000000
χ4444-4-4-4400000002i2−2i2−2i22i2000000−2i2i2i−2i0−222200000000000000000000
χ4544-4-4-440000000−2i22i22i2−2i20000002i−2i−2i2i0−222200000000000000000000
χ4644-4-4-440000000−2i22i22i2−2i2000000−2i2i2i−2i022−2200000000000000000000
χ478-88-800000000000004i2−4i20000000000000000000000000000000
χ488-88-80000000000000−4i24i20000000000000000000000000000000
χ498-8-88008-8000000000000000000000000000000000000000000
χ508-8-8800-88000000000000000000000000000000000000000000

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