Finite Group Databasebeta

← Group #289385

Character table — Group #289385

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222444444888888888881616161616161616161616161616161632323232
order12224444442444888888888888822444488888888882488
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-11-111-1-1-111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-11-1-11-11-1-11111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111-1-1-1-11111-11-1-11-1-11111-1-1-1-1-111-1-1
χ61111111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1111111-1-1-111-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11-111-111-1-1-1-11-1-11111-1-1
χ911111111111111-1-1-1-1-1111111-1-111-1-11111-1-1-11-1-1-1-1-111-1
χ1011111111111111-1-1-1-1-1111111-1-11-1-1-1-11-11-111-1-1-1111-1-11
χ1111111111111111-1-1-1-1-11111-1-111-11111-11-11-1-11-1-1-1-11-1-11
χ1211111111111111-1-1-1-1-11111-1-111-1-111-1-1-1-1111-1-1-111-111-1
χ1311111111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-1-1-11111-11-11
χ1411111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-111111-1-11-11-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-111111-11-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1111111-1-1-11-11
χ172222222-2-22-2-2-22222-2-200000000202-20-200000000000000
χ182222222-2-22-2-2-22222-2-200000000-20-220200000000000000
χ192222222-2-22-2-2-22-2-2-2220000000020-220-200000000000000
χ202222222-2-22-2-2-22-2-2-22200000000-202-20200000000000000
χ2122222-2-2222-22-2-20000022-2-200000200-2020000-200000000
χ2222222-2-2222-22-2-20000022-2-200000-20020-20000200000000
χ2322222-2-2222-22-2-200000-2-22200000200-20-20000200000000
χ2422222-2-2222-22-2-200000-2-22200000-2002020000-200000000
χ252222-22222-2-2-22-222-22-2000022220000000-2-200000000000
χ262222-22222-2-2-22-222-22-20000-2-2-2-200000002200000000000
χ272222-22222-2-2-22-2-2-22-22000022-2-20000000-2200000000000
χ282222-22222-2-2-22-2-2-22-220000-2-22200000002-200000000000
χ292222-222-2-2-222-2-222-2-222i−2i2i−2i00000000000000002i−2i000000
χ302222-222-2-2-222-2-222-2-22−2i2i−2i2i0000000000000000−2i2i000000
χ312222-222-2-2-222-2-2-2-222-22i−2i2i−2i0000000000000000−2i2i000000
χ322222-222-2-2-222-2-2-2-222-2−2i2i−2i2i00000000000000002i−2i000000
χ332222-2-2-2-2-2-2-2222000002i−2i−2i2i00000000000002i−2i0002-20000
χ342222-2-2-2-2-2-2-2222000002i−2i−2i2i0000000000000−2i2i000-220000
χ352222-2-2-2-2-2-2-222200000−2i2i2i−2i00000000000002i−2i000-220000
χ362222-2-2-2-2-2-2-222200000−2i2i2i−2i0000000000000−2i2i0002-20000
χ3744444-4-4-4-444-44-4000000000000000000000000000000000
χ384444-4-4-444-44-4-44000000000000000000000000000000000
χ394-44-404-400000004i−4i00000002i2−2i222−2200000000000000000000
χ404-44-404-400000004i−4i0000000−2i22i2−222200000000000000000000
χ414-44-404-40000000−4i4i00000002i2−2i2−222200000000000000000000
χ424-44-404-40000000−4i4i0000000−2i22i222−2200000000000000000000
χ4388-8-880000-80000000000000000000000000000000000000
χ4488-8-8-8000080000000000000000000000000000000000000
χ458-88-80-880000000000000000000000000000000000000000
χ468-8-880008-800000000000000000000000000000000000000
χ478-8-88000-8800000000000000000000000000000000000000

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