Finite Group Databasebeta

← Group #250722

Character table — Group #250722

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244448888888888888816161616161616161616161616161616161616161632
order12222244444444224444444444882444444488888888888884
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-11111-1
χ311111111111111111111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11
χ411111111111111111111-1-1-1-1-1-111-1-1-1-11-1-1-111111-1-11111-1-1-1
χ51111111111111111-1-1-1-111111111-11-1-1111-1111-1-1-1-1-1-1-1-1-1-11
χ61111111111111111-1-1-1-11111-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1
χ71111111111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-11-1-1-111-1-111-1-1111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1111-1111-1-11111-1-111-1-1-1-111-1
χ911111111111111-1-11111111111111111-1-1-11-1-1111-1-1-1-1-1-1-1-1-1
χ1011111111111111-1-111111111-1-1-1-11-1-1-1-1-1-1111-1-1-11111-1-1-1-11
χ1111111111111111-1-11111-1-1-1-111-1-1-1111-111-111-1-1-1-1-111-1-111-1
χ1211111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1-111111-1-1-1-1111
χ1311111111111111-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-11-1-111111111-1
χ1411111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-111-1-1-1-111111
χ1511111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111111-11111-1-111-1-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1111-1-11-1-1-1-11111-1-11
χ172222222222-2-2-2-200000022-2-222220-200000000-200000000000
χ182222222222-2-2-2-200000022-2-2-2-2-2-20200000000200000000000
χ192222222222-2-2-2-2000000-2-22222-2-20-200000000200000000000
χ202222222222-2-2-2-2000000-2-222-2-2220200000000-200000000000
χ21222222-2-2-2-2-22-222222-2-2000000000000-20000000000002-2000
χ22222222-2-2-2-2-22-2222-2-222000000000000-2000000000000-22000
χ23222222-2-2-2-2-22-22-2-222-2-20000000000002000000000000-22000
χ24222222-2-2-2-2-22-22-2-2-2-22200000000000020000000000002-2000
χ252222-2-22-22-2-2-222002-22-200000000000002-20000000000002-20
χ262222-2-22-22-2-2-222002-22-20000000000000-22000000000000-220
χ272222-2-22-22-2-2-22200-22-2200000000000002-2000000000000-220
χ282222-2-22-22-2-2-22200-22-220000000000000-220000000000002-20
χ292222-2-2-22-222-2-22002-2-222-22-200002000000-200000000000000
χ302222-2-2-22-222-2-22002-2-22-22-220000-2000000200000000000000
χ312222-2-2-22-222-2-2200-222-22-22-20000-2000000200000000000000
χ322222-2-2-22-222-2-2200-222-2-22-2200002000000-200000000000000
χ332222-2-2-22-22-222-20000002-2-220000002-200000002-2000000000
χ342222-2-2-22-22-222-20000002-2-22000000-220000000-22000000000
χ352222-2-2-22-22-222-2000000-222-20000002-20000000-22000000000
χ362222-2-2-22-22-222-2000000-222-2000000-2200000002-2000000000
χ37444444-4-4-4-44-44-4000000000000000000000000000000000000
χ384444-4-44-44-444-4-4000000000000000000000000000000000000
χ394-4-444-44-4-4400000000000000004i−4i0000000000000000000000
χ404-4-444-44-4-440000000000000000−4i4i0000000000000000000000
χ414-4-444-4-444-40000000000000000000000000000000002i2−2i200000
χ424-4-444-4-444-4000000000000000000000000000000000−2i22i200000
χ434-4-44-4444-4-400000000000000000000000000000002i2−2i20000000
χ444-4-44-4444-4-40000000000000000000000000000000−2i22i20000000
χ454-4-44-44-4-444000000000000004-4000000000000000000000000
χ464-4-44-44-4-44400000000000000-44000000000000000000000000
χ4788-8-80000000000000000000000000000000022−22000000000000
χ4888-8-800000000000000000000000000000000−2222000000000000
χ498-88-800000000004-40000000000000000000000000000000000
χ508-88-80000000000-440000000000000000000000000000000000

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