Finite Group Databasebeta

← Group #250749

Character table — Group #250749

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244448888888888888816161616161616161616161616161616161616161632
order12222244444444222244444444882444444488888888888884
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11
χ3111111111111111111-1-1111111-1-11-1-1111-11-1-1-1-1-1-1-1-1-11111-1
χ4111111111111111111-1-1-1-111-1-111-1-1-1-1-11-1-111111-1-11111-1-1-1
χ51111111111111111-1-11111111111111-1-1-1111-1-111-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-111-1-111-1-1-1-1-11111-11-1-111-1-1-1-111-1-111-1
χ71111111111111111-1-1-1-1111111-1-11-1-1-1-1-1-11-111-1-11111-1-1-1-11
χ81111111111111111-1-1-1-1-1-111-1-111-1-1-111-1-1-11-1-11111-1-1-1-1111
χ911111111111111-1-1111111-1-11111-1-1-11111-1111-1-1-1-1-1-1-1-1-1-11
χ1011111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-111-1-111-1-1111
χ1111111111111111-1-111-1-111-1-111-1-1-111111-1-1-1-1-1111111-1-1-1-1-1
χ1211111111111111-1-111-1-1-1-1-1-1-1-111111-1-11-11111-1-111-1-1-1-111-1
χ1311111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11-11-1-1-1-111111111-1
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-111-1111111-1-111-1-1-1
χ1511111111111111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-111111
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-11
χ172222222222-2-2-2-20000222200-2-2-2-2000000-2020000000000000
χ182222222222-2-2-2-2000022-2-2002222000000-20-20000000000000
χ192222222222-2-2-2-20000-2-22200-2-22200000020-20000000000000
χ202222222222-2-2-2-20000-2-2-2-20022-2-20000002020000000000000
χ21222222-2-2-2-2-22-222-22200002-2000000000-2000000000002-2000
χ22222222-2-2-2-2-22-222-2-2-200002-2000000000200000000000-22000
χ23222222-2-2-2-2-22-22-22220000-22000000000-200000000000-22000
χ24222222-2-2-2-2-22-22-22-2-20000-220000000002000000000002-2000
χ252222-2-22-22-2-2-22222000000-2-200000002-2000000000000002-20
χ262222-2-22-22-2-2-22222000000-2-20000000-2200000000000000-220
χ272222-2-22-22-2-2-222-2-20000002200000002-200000000000000-220
χ282222-2-22-22-2-2-222-2-2000000220000000-22000000000000002-20
χ292222-2-2-22-222-2-222-200002-2-222-2002000000-200000000000000
χ302222-2-2-22-222-2-222-20000-22-22-2200-2000000200000000000000
χ312222-2-2-22-222-2-22-2200002-22-22-200-2000000200000000000000
χ322222-2-2-22-222-2-22-220000-222-2-22002000000-200000000000000
χ332222-2-2-22-22-222-20000002-200-220002-2000000002-2000000000
χ342222-2-2-22-22-222-20000002-200-22000-2200000000-22000000000
χ352222-2-2-22-22-222-2000000-22002-20002-200000000-22000000000
χ362222-2-2-22-22-222-2000000-22002-2000-22000000002-2000000000
χ37444444-4-4-4-44-44-4000000000000000000000000000000000000
χ384444-4-44-44-444-4-4000000000000000000000000000000000000
χ394-4-444-44-4-4400000000000000000000000000000002i2−2i20000000
χ404-4-444-44-4-440000000000000000000000000000000−2i22i20000000
χ414-4-444-4-444-4000000004i−4i000000000000000000000000000000
χ424-4-444-4-444-400000000−4i4i000000000000000000000000000000
χ434-4-44-4444-4-400000000000000004i−4i0000000000000000000000
χ444-4-44-4444-4-40000000000000000−4i4i0000000000000000000000
χ454-4-44-44-4-44400000000000000000000000000000000022−2200000
χ464-4-44-44-4-444000000000000000000000000000000000−222200000
χ4788-8-80000000000004-400000000000000000000000000000000
χ4888-8-8000000000000-4400000000000000000000000000000000
χ498-88-80000000000000000000000000000000002i2−2i200000000000
χ508-88-8000000000000000000000000000000000−2i22i200000000000

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