Finite Group Databasebeta

← Group #484841

Character table — Group #484841

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222222222444444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111
χ51111111111111111-1-1-1-11111111-11-111-111-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-11111111-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1-1-1-1-111-11-1111-11111-1-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-111-111111111-1-1-1-1
χ91111-1-1-1-1111-1-11-1-111-1-111-1-11111-1-11-1-11-11-1111-1-111-1-111-1-1
χ101111-1-1-1-1111-1-11-1-111-1-111-1-11111-1-1-11-1-111-11-1-111-1-111-1-111
χ111111-1-1-1-1111-1-11-1-111-1-1-1-11111-1-1111-1-11-1-111-1-11111-1-1-1-111
χ121111-1-1-1-1111-1-11-1-111-1-1-1-11111-1-111-11-1-11-11111-1-1-1-11111-1-1
χ131111-1-1-1-1111-1-11-1-1-1-11111-1-1111-1-111-111-1-11-111-1-1-1-111-1-111
χ141111-1-1-1-1111-1-11-1-1-1-11111-1-1111-1-11-111-11-11-1-1-11111-1-111-1-1
χ151111-1-1-1-1111-1-11-1-1-1-111-1-11111-111-11-111-11-1-1-1-111-1-11111-1-1
χ161111-1-1-1-1111-1-11-1-1-1-111-1-11111-111-1-111-111-1-111-1-111-1-1-1-111
χ1722222222222222-2-200002222-2-2-20-2000000000000000000000
χ1822222222222222-2-20000-2-2-2-2-2-2202000000000000000000000
χ192222222222-2-2-2-22-2000000002-2020200000-2-20000000000000
χ202222222222-2-2-2-22-2000000002-20-20-200000220000000000000
χ212222222222-2-2-2-2-2222-2-20000-2200000020000-2000000000000
χ222222222222-2-2-2-2-22-2-2220000-22000000-200002000000000000
χ232222-2-2-2-2222-2-2222000022-2-2-2-2-202000000000000000000000
χ242222-2-2-2-2222-2-22220000-2-222-2-220-2000000000000000000000
χ252222-2-2-2-222-222-22-222220000-22000000-20000-2000000000000
χ262222-2-2-2-222-222-22-2-2-2-2-20000-22000000200002000000000000
χ272222-2-2-2-222-222-2-22000000002-2020-200000-220000000000000
χ282222-2-2-2-222-222-2-22000000002-20-202000002-20000000000000
χ2922-2-222-2-22-2-22-220000002i−2i2i−2i0000000000000000002−22−2i2−i2i2−i2
χ3022-2-222-2-22-2-22-220000002i−2i2i−2i000000000000000000−22−22−i2i2−i2i2
χ3122-2-222-2-22-2-22-22000000−2i2i−2i2i0000000000000000002−22−2−i2i2−i2i2
χ3222-2-222-2-22-2-22-22000000−2i2i−2i2i000000000000000000−22−22i2−i2i2−i2
χ3322-2-2-2-2222-2-2-2220000002i−2i−2i2i0000000000000000002−2−22i2−i2−i2i2
χ3422-2-2-2-2222-2-2-2220000002i−2i−2i2i000000000000000000−222−2−i2i2i2−i2
χ3522-2-2-2-2222-2-2-222000000−2i2i2i−2i0000000000000000002−2−22−i2i2i2−i2
χ3622-2-2-2-2222-2-2-222000000−2i2i2i−2i000000000000000000−222−2i2−i2−i2i2
χ3744444-44-4-4-400000000000000000000220-2-2000000000000000
χ3844444-44-4-4-400000000000000000000-2-2022000000000000000
χ394444-44-44-4-4000000000000000000002-20-22000000000000000
χ404444-44-44-4-400000000000000000000-2202-2000000000000000
χ4144-4-444-4-44-44-44-4000000000000000000000000000000000000
χ4244-4-44-4-44-4400000000000000000000000000002i−2i2i−2i00000000
χ4344-4-44-4-44-440000000000000000000000000000−2i2i−2i2i00000000
χ4444-4-4-444-4-4400000000000000000000000000002i−2i−2i2i00000000
χ4544-4-4-444-4-440000000000000000000000000000−2i2i2i−2i00000000
χ4644-4-4-4-4444-444-4-4000000000000000000000000000000000000
χ478-88-8000000000000004i−4i000000000000000000000000000000
χ488-88-800000000000000−4i4i000000000000000000000000000000
χ498-8-880000000000004-400000000000000000000000000000000
χ508-8-88000000000000-4400000000000000000000000000000000

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