Finite Group Databasebeta

← Group #245604

Character table — Group #245604

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12222222224444222444444444444422244444448888888844
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111-1-1-1-1-111-111-1-1-1-111-1-1111-1-1-111-1-111-1-11-1
χ61111111111111111-1-1-1-1-111-111-1-1-1-11-11-111-11-1-1-1-111-1-111-11
χ71111111111111111-1-1-1-1-111-1-1-11111-11-1-1-1-11-111-1-11111-1-1-11
χ81111111111111111-1-1-1-1-111-1-1-11111-1-11-1-1-1-111111-1-1-1-1111-1
χ911111111111111-1-1111-1-1-1-111111-1-1-111-11-1111-1-1-1-1-1-1-1-1-111
χ1011111111111111-1-1111-1-1-1-111111-1-1-1-1-1-11-1-1-11-111111111-1-1
χ1111111111111111-1-1111-1-1-1-11-1-1-1-111111-1-1111-111111-1-1-1-1-1-1
χ1211111111111111-1-1111-1-1-1-11-1-1-1-1111-1-1-1-11-1-1-11-1-1-1-1111111
χ1311111111111111-1-1-1-1-111-1-1-111-1-111-11-111-11-1-11-1-111-1-1111-1
χ1411111111111111-1-1-1-1-111-1-1-111-1-111-1-1111-1-11-1111-1-111-1-1-11
χ1511111111111111-1-1-1-1-111-1-1-1-1-111-1-111-11-111-11-111-1-1-1-111-11
χ1611111111111111-1-1-1-1-111-1-1-1-1-111-1-11-111-11-111-1-1-11111-1-11-1
χ172222222222-2-2-2-2002-2-20000222-2-2000000-2000200000000000
χ182222222222-2-2-2-2002-2-200002-2-2220000002000-200000000000
χ192222222222-2-2-2-200-2220000-22222000000-2000-200000000000
χ202222222222-2-2-2-200-2220000-2-2-2-2-20000002000200000000000
χ2122222-2-22-2-2-22-222-2000002-200000000020000-2000000002-200
χ2222222-2-22-2-2-22-222-2000002-2000000000-20000200000000-2200
χ2322222-2-22-2-2-22-22-2200000-2200000000020000-200000000-2200
χ2422222-2-22-2-2-22-22-2200000-22000000000-200002000000002-200
χ252222-22-2-22-2-2-2222-200000-220000000020000-200000002-20000
χ262222-22-2-22-2-2-2222-200000-2200000000-2000020000000-220000
χ272222-22-2-22-2-2-222-22000002-20000000020000-20000000-220000
χ282222-22-2-22-2-2-222-22000002-200000000-20000200000002-20000
χ292222-2-22-2-222-2-222222-2-2-2-2-2-200000000020000000000000000
χ302222-2-22-2-222-2-2222-2-2222-2-22000000000-20000000000000000
χ312222-2-22-2-222-2-22-2-222-22222-2000000000-20000000000000000
χ322222-2-22-2-222-2-22-2-2-2-22-2-222200000000020000000000000000
χ332222-2-22-2-22-222-2002-220000-2000022-200002000-20000000000
χ342222-2-22-2-22-222-2002-220000-20000-2-220000-200020000000000
χ352222-2-22-2-22-222-200-22-20000200002220000-2000-20000000000
χ362222-2-22-2-22-222-200-22-2000020000-2-2-20000200020000000000
χ3744444-4-44-4-44-44-4000000000000000000000000000000000000
χ384444-44-4-44-444-4-4000000000000000000000000000000000000
χ394-4-44444-4-4-400000000000000004i−4i0000000000000000000000
χ404-4-44444-4-4-40000000000000000−4i4i0000000000000000000000
χ414-4-444-4-4-44400000000000000000000000000000022−2200000000
χ424-4-444-4-4-444000000000000000000000000000000−222200000000
χ434-4-44-44-44-440000000000000000000000000000000022−22000000
χ444-4-44-44-44-4400000000000000000000000000000000−2222000000
χ454-4-44-4-4444-4000000000000004-4000000000000000000000000
χ464-4-44-4-4444-400000000000000-44000000000000000000000000
χ4788-8-80000000000000004i−4i00000000000000000000000000000
χ4888-8-8000000000000000−4i4i00000000000000000000000000000
χ498-88-80000000000000000000000004i−4i00000000000000000000
χ508-88-8000000000000000000000000−4i4i00000000000000000000

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