Finite Group Databasebeta

← Group #268252

Character table — Group #268252

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444442444444224444444488888888888824
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ51111111111111111111-1-1-1-11-11-11-1-1-11-111111111-1-1-1-1-1-1
χ61111111111111111111-1-1-1-11-11-11-1-1-11-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111-1-1-1-1-11-11-11-1-1-111111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-1-11-11-11-1-1-11-1-1-1-11111-1-1-1-111
χ911111111-1-1111111-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-11-1
χ1011111111-1-1111111-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-11
χ1111111111-1-1111111-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1111-1
χ1211111111-1-1111111-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ1311111111-1-1111111-1-1-1-1-1-1-11-1-11-11111-111-1-111-1-1-1-111-11
χ1411111111-1-1111111-1-1-1-1-1-1-11-1-11-11111-1-1-111-1-11111-1-11-1
χ1511111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1111-1-1-1-11111-1-1-11
χ1611111111-1-1111111-1-1-1-1-1-1-1-111-11-111-11-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-2-22-20000020-202000-200000000000000
χ1822222222222-2-2-22-2-22-200000-2020-2000200000000000000
χ192222222222-22-2-2-22-2-22000020-202000-2000000000000000
χ202222222222-22-2-2-22-2-220000-2020-20002000000000000000
χ212222222222-2-222-2-22-2-222-2-20000002-20000000000000000
χ222222222222-2-222-2-22-2-2-2-222000000-220000000000000000
χ2322222222-2-22-2-2-22-22-22000002020-2000-200000000000000
χ2422222222-2-22-2-2-22-22-2200000-20-202000200000000000000
χ2522222222-2-2-22-2-2-2222-200002020-2000-2000000000000000
χ2622222222-2-2-22-2-2-2222-20000-20-2020002000000000000000
χ2722222222-2-2-2-222-2-2-22222-2-2000000-220000000000000000
χ2822222222-2-2-2-222-2-2-222-2-2220000002-20000000000000000
χ2922-2-2-2-22200222-2-2-20002-22-200000000000000002i−2i002i−2i00
χ3022-2-2-2-22200222-2-2-20002-22-20000000000000000−2i2i00−2i2i00
χ3122-2-2-2-22200222-2-2-2000-22-2200000000000000002i−2i00−2i2i00
χ3222-2-2-2-22200222-2-2-2000-22-220000000000000000−2i2i002i−2i00
χ3322-2-2-2-22200-2-22-2220002-2-22000000000000002-2002-20000
χ3422-2-2-2-22200-2-22-2220002-2-2200000000000000-2200-220000
χ3522-2-2-2-22200-2-22-222000-222-2000000000000002-200-220000
χ3622-2-2-2-22200-2-22-222000-222-200000000000000-22002-20000
χ3744-4-444-4-44-4000000000000000000000002i−2i2i−2i0000000000
χ3844-4-444-4-44-400000000000000000000000−2i2i−2i2i0000000000
χ3944-4-444-4-4-44000000000000000000000002i−2i−2i2i0000000000
χ4044-4-444-4-4-4400000000000000000000000−2i2i2i−2i0000000000
χ4144-4-4-4-444004-4-44-440000000000000000000000000000000
χ4244-4-4-4-44400-44-444-40000000000000000000000000000000
χ438888-8-8-8-8000000000000000000000000000000000000000
χ448-88-88-88-8000000000000000000000000000000000000000
χ458-88-8-88-88000000000000000000000000000000000000000
χ468-8-888-8-88000000000000000000000000000000000000000
χ478-8-88-888-8000000000000000000000000000000000000000

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