Finite Group Databasebeta

← Group #299251

Character table — Group #299251

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444444488888888888888161616161616161616161616161632323232
order12222244444444888824448888888888244444448888882444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-11111-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1
χ911111111111111-1-1-1-11111-1-11111-1-1-1-111-11-1-11-1-1-111-1-11-11-1
χ1011111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11-111-11-1-111-1-1-11-11
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1111111-11-1-11-1-1-1-1-111-11-11
χ1211111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11-111-11-1-1-1-1111-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-1111-1-1111-1-11
χ1411111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-111-1-111-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-11111-1-11-1-11
χ172222222222-2-2-2-222-2-222-2-22-200000000000000002-200000000
χ182222222222-2-2-2-222-2-2-2-2222-20000000000000000-2200000000
χ192222222222-2-2-2-2-2-22222-2-2-220000000000000000-2200000000
χ202222222222-2-2-2-2-2-222-2-222-2200000000000000002-200000000
χ21222222-2-2-2-222-2-200002-2-220022-2-2000000000000002-2000000
χ22222222-2-2-2-222-2-200002-2-2200-2-22200000000000000-22000000
χ23222222-2-2-2-222-2-20000-222-20022-2-200000000000000-22000000
χ24222222-2-2-2-222-2-20000-222-200-2-222000000000000002-2000000
χ25222222-2-2-2-2-2-22200002-22-200000022-2-20000000000002-20000
χ26222222-2-2-2-2-2-22200002-22-2000000-2-222000000000000-220000
χ27222222-2-2-2-2-2-2220000-22-2200000022-2-2000000000000-220000
χ28222222-2-2-2-2-2-2220000-22-22000000-2-2220000000000002-20000
χ292222-2-2-2-2222-22-222220000-2-2000000002-2-2002000000000000
χ302222-2-2-2-2222-22-222220000-2-200000000-22200-2000000000000
χ312222-2-2-2-2222-22-2-2-2-2-2000022000000002-2200-2000000000000
χ322222-2-2-2-2222-22-2-2-2-2-200002200000000-22-2002000000000000
χ332222-2-2-2-222-22-2222-2-20000-2200000000000220-2-20000000000
χ342222-2-2-2-222-22-2222-2-20000-2200000000000-2-20220000000000
χ352222-2-2-2-222-22-22-2-22200002-2000000000002-20-220000000000
χ362222-2-2-2-222-22-22-2-22200002-200000000000-2202-20000000000
χ374444-4-444-4-44-4-44000000000000000000000000000000000000
χ384444-4-444-4-4-444-4000000000000000000000000000000000000
χ3944-4-44-44-44-40000000000000022−2222−220000000000000000000000
χ4044-4-44-44-44-400000000000000−2222−22220000000000000000000000
χ4144-4-44-4-44-440000000000000022−22−22220000000000000000000000
χ4244-4-44-4-44-4400000000000000−222222−220000000000000000000000
χ4344-4-4-444-4-440000000000000000002i2−2i22i2−2i2000000000000000000
χ4444-4-4-444-4-44000000000000000000−2i22i2−2i22i2000000000000000000
χ4544-4-4-44-444-40000000000000000002i2−2i2−2i22i2000000000000000000
χ4644-4-4-44-444-4000000000000000000−2i22i22i2−2i2000000000000000000
χ478-88-80000000000004i2−4i200000000000000000000000000000000
χ488-88-8000000000000−4i24i200000000000000000000000000000000
χ498-8-88000000000042−420000000000000000000000000000000000
χ508-8-880000000000−42420000000000000000000000000000000000

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