Finite Group Databasebeta

← Group #261451

Character table — Group #261451

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422222244444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111-1-11-1-1-1-11-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-111-1-1111-111-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-111-1-1111-111-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111-1-111111-1-111-1-111-11-1-11-11-1-111-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-111-1-111-11-1-11-11-1-1-1-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-1-1-1-1-1-111-111-1111-1-111-1-1-1-111-1-111
χ121111111111111-1-111111-1-1-1-1-1-1-1-1-1-111-111-11-1-111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-11111-1-111-1-11-1-11-11-111-1-1-1-11111-1-1-1-111
χ141111111111111-1-1111-1-11111-1-111-1-11-1-11-11-1-1-11111-1-1-1-11111-1-1
χ151111111111111-1-1111-1-111-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-111-1-1-1-1-1-1-11-111-1-111-1-11111-1-111-1-1-1-111
χ17222222222222-222-2-2-2222200-2-200200000-2-200000000000000000
χ18222222222222-222-2-2-2-2-2-2-200-2-2002000002200000000000000000
χ19222222222222-2-2-2-2-2-222-2-2002200-200000-2200000000000000000
χ20222222222222-2-2-2-2-2-2-2-222002200-2000002-200000000000000000
χ2122222222-2-2-2-2222-2-220000002-200-2220-2-20000000000000000000
χ2222222222-2-2-2-2222-2-220000002-200-2-2-20220000000000000000000
χ2322222222-2-2-2-22-2-2-2-22000000-220022-20-220000000000000000000
χ2422222222-2-2-2-22-2-2-2-22000000-22002-2202-20000000000000000000
χ2522222222-2-2-2-2-22222-2000022-22-2-2-200-2000020000000000000000
χ2622222222-2-2-2-2-22222-20000-2-2-2222-20020000-20000000000000000
χ2722222222-2-2-2-2-2-2-222-20000222-2-2-220020000-20000000000000000
χ2822222222-2-2-2-2-2-2-222-20000-2-22-222200-2000020000000000000000
χ292-22-2-222-222-2-22002-2-200002-2002-2000000000002i−2i0000002i−2i0000
χ302-22-2-222-222-2-22002-2-200002-2002-200000000000−2i2i000000−2i2i0000
χ312-22-2-222-222-2-22002-2-20000-2200-22000000000002i−2i000000−2i2i0000
χ322-22-2-222-222-2-22002-2-20000-2200-2200000000000−2i2i0000002i−2i0000
χ332-22-2-222-2-2-222-2002-2200002-200-220000000002-20000002-2000000
χ342-22-2-222-2-2-222-2002-2200002-200-22000000000-22000000-22000000
χ352-22-2-222-2-2-222-2002-220000-22002-20000000002-2000000-22000000
χ362-22-2-222-2-2-222-2002-220000-22002-2000000000-220000002-2000000
χ3744-44-44-4-44-44-40000000000000000000000000000000000000002i2−2i2
χ3844-44-44-4-44-44-4000000000000000000000000000000000000000−2i22i2
χ3944-44-44-4-4-44-4400000000000000000000000000000000000002i2−2i200
χ4044-44-44-4-4-44-440000000000000000000000000000000000000−2i22i200
χ4144-4-4-4-444000004-4000000000000000000000000002-22-200000000
χ4244-4-4-4-444000004-400000000000000000000000000-22-2200000000
χ4344-4-4-4-44400000-44000000000000000000000000002-2-2200000000
χ4444-4-4-4-44400000-4400000000000000000000000000-222-200000000
χ454-44-4-444-444-4-4-400-44400000000000000000000000000000000000
χ464-44-4-444-4-4-444400-44-400000000000000000000000000000000000
χ474-4-4-444-444-4-440000004-4000000000000000000000000000000000
χ484-4-4-444-444-4-44000000-44000000000000000000000000000000000
χ494-4-4-444-44-444-4000000004-40000000000000000000000000000000
χ504-4-4-444-44-444-400000000-440000000000000000000000000000000
χ51888-88-8-8-8000000000000000000000000000000000000000000000
χ528-888-8-8-88000000000000000000000000000000000000000000000
χ538-8-888-88-8000000000000000000000000000000000000000000000

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