Finite Group Databasebeta

← Group #250727

Character table — Group #250727

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244448888888888888816161616161616161616161616161616161616161632
order12222244444444222222444444882244444488888888888884
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1111-11111-1-11-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1111111-1-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1
χ4111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11
χ51111111111111111-1-11111-1-11111-11-1-11-111111-1-1-1-1-1-1-1-1-1-11
χ61111111111111111-1-11111-1-1-1-111-1-1-1-11-1-1-11-1-1-1-111111111-1
χ71111111111111111-1-1-1-111-1-111-1-111-1-1-1111-1-1-1111111-1-1-1-1-1
χ81111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-11-1-1-11111-1-1-1-111111
χ911111111111111-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1-111-1-111-1-11
χ1011111111111111-1-11111-1-111-1-1-1-11-1-1-11111-111-1-1-1-111-1-111-1
χ1111111111111111-1-111-1-1-1-1111111-11-1-1-1-1-1-111111-1-11111-1-1-1
χ1211111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1111-1-11111-1-1-1-1111
χ1311111111111111-1-1-1-111-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-111-1-1111
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-111-1111111-1-111-1-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-1111-1-111-1-1-1-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-111-11111-1-1-1-1-1-11111-1-11
χ172222222222-2-2-2-2220022-2-20000-2-20000-200020000000000000
χ182222222222-2-2-2-22200-2-2-2-200002200002000-20000000000000
χ192222222222-2-2-2-2-2-20022220000220000-2000-20000000000000
χ202222222222-2-2-2-2-2-200-2-2220000-2-20000200020000000000000
χ21222222-2-2-2-2-22-22002-200002-222000-20000000000000002-2000
χ22222222-2-2-2-2-22-22002-200002-2-2-20002000000000000000-22000
χ23222222-2-2-2-2-22-2200-220000-2222000-2000000000000000-22000
χ24222222-2-2-2-2-22-2200-220000-22-2-200020000000000000002-2000
χ252222-2-22-22-2-2-22200220000-2-200000000002-2000000000002-20
χ262222-2-22-22-2-2-22200220000-2-20000000000-2200000000000-220
χ272222-2-22-22-2-2-22200-2-200002200000000002-200000000000-220
χ282222-2-22-22-2-2-22200-2-20000220000000000-22000000000002-20
χ292222-2-2-22-222-2-222-22-2002-2-220000002-2000000000000000000
χ302222-2-2-22-222-2-222-2-22002-22-2000000-22000000000000000000
χ312222-2-2-22-222-2-22-222-200-22-22000000-22000000000000000000
χ322222-2-2-22-222-2-22-22-2200-222-20000002-2000000000000000000
χ332222-2-2-22-22-222-22-20000-2200000020000-2000002-2000000000
χ342222-2-2-22-22-222-22-20000-22000000-20000200000-22000000000
χ352222-2-2-22-22-222-2-2200002-200000020000-200000-22000000000
χ362222-2-2-22-22-222-2-2200002-2000000-200002000002-2000000000
χ37444444-4-4-4-44-44-4000000000000000000000000000000000000
χ384444-4-44-44-444-4-4000000000000000000000000000000000000
χ394-4-444-444-4-400000000000000004i−4i0000000000000000000000
χ404-4-444-444-4-40000000000000000−4i4i0000000000000000000000
χ414-4-444-4-4-44400000000000000000000000000000000022−2200000
χ424-4-444-4-4-444000000000000000000000000000000000−222200000
χ434-4-44-444-4-44000000000000000000000000000000022−220000000
χ444-4-44-444-4-440000000000000000000000000000000−22220000000
χ454-4-44-44-444-4000000004-4000000000000000000000000000000
χ464-4-44-44-444-400000000-44000000000000000000000000000000
χ4788-8-80000000000000000000000000000000002i2−2i200000000000
χ4888-8-8000000000000000000000000000000000−2i22i200000000000
χ498-88-8000000000000000000004i−4i000000000000000000000000
χ508-88-800000000000000000000−4i4i000000000000000000000000

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