Finite Group Databasebeta

← Group #295247

Character table — Group #295247

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1-11111-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1
χ911111111-1-1111111-1-1-11111-11-11-11-1-11-111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-1-11111-11-11-11-1-11-1-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-1-11111-1-11-11-11-1-1111-1-111-1-1-1-111-11
χ1211111111-1-1111111-1-1-11111-1-11-11-11-1-11-1-111-1-11111-1-11-1
χ1311111111-1-1111111-1-1-1-1-1-1-111-11-1-111-1111-1-1-1-11111-1-1-11
χ1411111111-1-1111111-1-1-1-1-1-1-111-11-1-111-11-1-11111-1-1-1-1111-1
χ1511111111-1-1111111-1-1-1-1-1-1-11-11-111-111-111-1-1-1-111-1-1111-1
χ1611111111-1-1111111-1-1-1-1-1-1-11-11-111-111-1-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-22-2-2222-2-22000000-20000000000000000
χ1822222222222-2-2-2-22-2-22-2-222-200000020000000000000000
χ192222222222-222-2-2-22-2-20000000002-20-2200000000000000
χ202222222222-222-2-2-22-2-2000000000-2202-200000000000000
χ212222222222-2-2-222-2-22-2000002-2-220000000000000000000
χ222222222222-2-2-222-2-22-200000-222-20000000000000000000
χ2322222222-2-22-2-2-2-2222-222-2-2-200000020000000000000000
χ2422222222-2-22-2-2-2-2222-2-2-2222000000-20000000000000000
χ2522222222-2-2-222-2-2-2-222000000000220-2-200000000000000
χ2622222222-2-2-222-2-2-2-222000000000-2-202200000000000000
χ2722222222-2-2-2-2-222-22-220000022-2-20000000000000000000
χ2822222222-2-2-2-2-222-22-2200000-2-2220000000000000000000
χ292-2-222-2-220022-22-2-20002i−2i2i−2i0000000000002-2002i−2i000000
χ302-2-222-2-220022-22-2-20002i−2i2i−2i000000000000-2200−2i2i000000
χ312-2-222-2-220022-22-2-2000−2i2i−2i2i0000000000002-200−2i2i000000
χ322-2-222-2-220022-22-2-2000−2i2i−2i2i000000000000-22002i−2i000000
χ332-2-222-2-22002-22-22-20002i−2i−2i2i00000000002-2002i−2i00000000
χ342-2-222-2-22002-22-22-20002i−2i−2i2i0000000000-2200−2i2i00000000
χ352-2-222-2-22002-22-22-2000−2i2i2i−2i00000000002-200−2i2i00000000
χ362-2-222-2-22002-22-22-2000−2i2i2i−2i0000000000-22002i−2i00000000
χ37444-4-4-4-444i−4i00000000000000000000000000000002-22i−2i00
χ38444-4-4-4-444i−4i0000000000000000000000000000000-22−2i2i00
χ39444-4-4-4-44−4i4i00000000000000000000000000000002-2−2i2i00
χ40444-4-4-4-44−4i4i0000000000000000000000000000000-222i−2i00
χ414-4-444-4-4400-44-4-4440000000000000000000000000000000
χ424-4-444-4-4400-4-444-440000000000000000000000000000000
χ4388-88-88-8-8000000000000000000000000000000000000000
χ4488-8-88-88-8000000000000000000000000000000000000000
χ458-888-8-88-8000000000000000000000000000000000000000
χ468-88-888-8-8000000000000000000000000000000000000000
χ478-8-8-8-8888000000000000000000000000000000000000000

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