Finite Group Databasebeta

← Group #484372

Character table — Group #484372

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222222222444444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-111-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ5111111111111111-1-11-1-1111111-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111-1-11-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ8111111111111111-1-11-1-1-1-1-1-1111-1-11-1-1-1-1-1-11111111111-1-1-1-1
χ91111-1-1-1-1111-1-11-111-1-1-1111111-11-111-1-1-11-11-111-1-111-1-111-1-1
χ101111-1-1-1-1111-1-11-111-1-1-1111111-1-111-11-1-11-11-1-1-111-1-111-1-111
χ111111-1-1-1-1111-1-11-111-1-1-1-1-1-1-11111-1-11-1111-1-1111-1-1-1-111-1-111
χ121111-1-1-1-1111-1-11-111-1-1-1-1-1-1-1111-11-1-11111-1-11-1-11111-1-111-1-1
χ131111-1-1-1-1111-1-11-1-1-1-11111111111-1-11-1-1-1-11-11-1-11111-1-1-1-111
χ141111-1-1-1-1111-1-11-1-1-1-1111111111-11-1-11-1-1-11-1111-1-1-1-11111-1-1
χ151111-1-1-1-1111-1-11-1-1-1-111-1-1-1-111-11-111-111-111-1-1-111-1-11111-1-1
χ161111-1-1-1-1111-1-11-1-1-1-111-1-1-1-111-1-111-1111-111-111-1-111-1-1-1-111
χ1722222222222222-222-2220000-2-200000000-2-200000000000000
χ1822222222222222-2-2-2-2-2-20000-2-2000000002200000000000000
χ192222222222-2-2-2-2200-20000002-22002000000-2-2000000000000
χ202222222222-2-2-2-2200-20000002-2-200-200000022000000000000
χ212222222222-2-2-2-2-20020022-2-2-220000002-20000000000000000
χ222222222222-2-2-2-2-200200-2-222-22000000-220000000000000000
χ232222-2-2-2-2222-2-222222-2-20000-2-200000000-2200000000000000
χ242222-2-2-2-2222-2-222-2-22220000-2-2000000002-200000000000000
χ252222-2-2-2-222-222-2200-20022-2-2-22000000-220000000000000000
χ262222-2-2-2-222-222-2200-200-2-222-220000002-20000000000000000
χ272222-2-2-2-222-222-2-20020000002-2200-20000002-2000000000000
χ282222-2-2-2-222-222-2-20020000002-2-2002000000-22000000000000
χ292-22-222-2-2-2222-2-202i−2i02i−2i0000000000000000000000i2−i2i2−i22−22−2
χ302-22-222-2-2-2222-2-202i−2i02i−2i0000000000000000000000−i2i2−i2i2−22−22
χ312-22-222-2-2-2222-2-20−2i2i0−2i2i0000000000000000000000i2−i2i2−i2−22−22
χ322-22-222-2-2-2222-2-20−2i2i0−2i2i0000000000000000000000−i2i2−i2i22−22−2
χ332-22-2-2-222-222-22-202i−2i0−2i2i0000000000000000000000i2−i2−i2i22−2−22
χ342-22-2-2-222-222-22-202i−2i0−2i2i0000000000000000000000−i2i2i2−i2−222−2
χ352-22-2-2-222-222-22-20−2i2i02i−2i0000000000000000000000i2−i2−i2i2−222−2
χ362-22-2-2-222-222-22-20−2i2i02i−2i0000000000000000000000−i2i2i2−i22−2−22
χ3744444-44-4-4-400000000000000000220-2-2000000000000000000
χ3844444-44-4-4-400000000000000000-2-2022000000000000000000
χ394444-44-44-4-4000000000000000002-20-22000000000000000000
χ404444-44-44-4-400000000000000000-2202-2000000000000000000
χ414-44-444-4-4-44-4-444000000000000000000000000000000000000
χ424-44-44-4-444-400000000000000000000000000002i−2i2i−2i00000000
χ434-44-44-4-444-40000000000000000000000000000−2i2i−2i2i00000000
χ444-44-4-444-44-400000000000000000000000000002i−2i−2i2i00000000
χ454-44-4-444-44-40000000000000000000000000000−2i2i2i−2i00000000
χ464-44-4-4-444-44-44-44000000000000000000000000000000000000
χ4788-8-80000000000000000004i−4i00000000000000000000000000
χ4888-8-8000000000000000000−4i4i00000000000000000000000000
χ498-8-8800000000000000004-40000000000000000000000000000
χ508-8-880000000000000000-440000000000000000000000000000

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