Finite Group Databasebeta

← Group #332425

Character table — Group #332425

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888888888161616161616161616161616161616323232
order12222244444444224444448888888888244444888888888488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-11-1111-11-1-111-1-1-1-11-1-1
χ311111111111111111111-1-1-1-111111111-1-11-1-1-1-111-1-1-1-1-1-111-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111111-11
χ51111111111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-111-1-1-11-1
χ61111111111111111-1-1-1-111-1-1-1-1-1-111111-1111-1-111-1-1-1-111-1-11
χ71111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11-1-111-1-111-111
χ81111111111111111-1-1-1-1-1-111-1-1-1-11111-111-1-111111111-1-1-1-1-1
χ911111111111111-1-111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1
χ1011111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-111
χ1111111111111111-1-11111-1-1-1-111111111-11-1111-1-1-111-1-1-1-1-1-11
χ1211111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-11-1
χ1311111111111111-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-1-1111111-1-11-11
χ1411111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11-1-1-111-1-11111-1
χ1511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1111111-1-1-1-1111-1-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-11-1-1-1-111-1-1111
χ172222222222-2-2-2-20022-2-222-2-200000000-200000200000000000
χ182222222222-2-2-2-20022-2-2-2-22200000000200000-200000000000
χ192222222222-2-2-2-200-2-222222200000000-200000-200000000000
χ202222222222-2-2-2-200-2-222-2-2-2-200000000200000200000000000
χ21222222-2-2-2-22-22-2220000000000002i2i−2i−2i00-200002i−2i000000000
χ22222222-2-2-2-22-22-222000000000000−2i−2i2i2i00-20000−2i2i000000000
χ23222222-2-2-2-22-22-2-2-20000000000002i2i−2i−2i0020000−2i2i000000000
χ24222222-2-2-2-22-22-2-2-2000000000000−2i−2i2i2i00200002i−2i000000000
χ252222-2-22-2-22-2-222000000000022-2-200000202-2-2000000000000
χ262222-2-22-2-22-2-222000000000022-2-200000-20-222000000000000
χ272222-2-22-2-22-2-2220000000000-2-2220000020-22-2000000000000
χ282222-2-22-2-22-2-2220000000000-2-22200000-202-22000000000000
χ292-22-22-2-22-22000000002i−2i2i−2i2-22−22−2i2−i2i2−i200000000000i2−i22−2000
χ302-22-22-2-22-22000000002i−2i2i−2i2-2−22−22−i2i2−i2i200000000000−i2i2−22000
χ312-22-22-2-22-22000000002i−2i−2i2i-222−22−2i2−i2i2−i200000000000−i2i2−22000
χ322-22-22-2-22-22000000002i−2i−2i2i-22−22−22−i2i2−i2i200000000000i2−i22−2000
χ332-22-22-2-22-2200000000−2i2i2i−2i-222−22−2−i2i2−i2i200000000000i2−i2−22000
χ342-22-22-2-22-2200000000−2i2i2i−2i-22−22−22i2−i2i2−i200000000000−i2i22−2000
χ352-22-22-2-22-2200000000−2i2i−2i2i2-22−22−2−i2i2−i2i200000000000−i2i22−2000
χ362-22-22-2-22-2200000000−2i2i−2i2i2-2−22−22i2−i2i2−i200000000000i2−i2−22000
χ37444444-4-4-4-4-44-44000000000000000000000000000000000000
χ384444-4-44-4-4444-4-4000000000000000000000000000000000000
χ394444-4-4-444-44-4-44000000000000000000000000000000000000
χ404444-4-4-444-4-444-4000000000000000000000000000000000000
χ414-44-44-44-44-400000000000000000022−22−2222000000000000000000
χ424-44-44-44-44-4000000000000000000−222222−22000000000000000000
χ434-44-4-4444-4-40000004-400000000000000000000000000000000
χ444-44-4-4444-4-4000000-4400000000000000000000000000000000
χ454-44-4-44-4-4440000000000000022−22−22220000000000000000000000
χ464-44-4-44-4-44400000000000000−222222−220000000000000000000000
χ4788-8-8000000000000000000000000000000000000022−220000000
χ4888-8-80000000000000000000000000000000000000−22220000000
χ498-8-8800000000004-40000000000000000000000000000000000
χ508-8-880000000000-440000000000000000000000000000000000

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