Finite Group Databasebeta

← Group #255803

Character table — Group #255803

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444222444444448888888822444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111
χ5111111111111111111111-1-11111-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1
χ7111111111111111111111-1-11-1-11-1-1-1-111111111-1-1-111-1111111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111
χ91111111111111111-1-111-111-111-111-1-11111-1-1-1-1-11-111-111-1-1-1-111-1-111-1-1
χ101111111111111111-1-111-111-111-111-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-111-111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-111
χ121111111111111111-1-111-111-1-1-1-11111-1-1-1-11111-1-1111-1-1-111-1-1-1-11111-1-1
χ131111111111111111-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1-11-1-11111-1-11111-1-1
χ141111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-1-111
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1111111-1-1-1-1-1-111-1-111
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1111-1-11111-1-111-1-1
χ1722222222222-2-2-2-2222-2-2-222-2002-2-2000000000020000-200000000000000
χ1822222222222-2-2-2-2222-2-2-2-2-2-2002220000000000-20000200000000000000
χ1922222222222-2-2-2-22-2-2-2-2222200-2-2-20000000000-20000200000000000000
χ2022222222222-2-2-2-22-2-2-2-22-2-2200-222000000000020000-200000000000000
χ2122222222-2-2-22222-222-2-2-200222-200-2-2000000000-2200000000000000000
χ2222222222-2-2-22222-222-2-2-2002-2-2-200220000000002-200000000000000000
χ2322222222-2-2-22222-2-2-2-2-2200-22220022000000000-2-200000000000000000
χ2422222222-2-2-22222-2-2-2-2-2200-2-2-2200-2-20000000002200000000000000000
χ2522222222-2-2-2-2-2-2-2-22222200-200-20000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-22222200-200-2000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-20020020000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2002002000000000000000000-222-20000000000
χ292-2-22-222-222-22-22-2-2002-202-200002-2000000000000000000002i−2i0000002i−2i
χ302-2-22-222-222-22-22-2-2002-202-200002-200000000000000000000−2i2i000000−2i2i
χ312-2-22-222-222-22-22-2-2002-20-220000-22000000000000000000002i−2i000000−2i2i
χ322-2-22-222-222-22-22-2-2002-20-220000-2200000000000000000000−2i2i0000002i−2i
χ332-2-22-222-222-2-22-22-200-2202-20000-2200000000000002i−2i000000000002i−2i00
χ342-2-22-222-222-2-22-22-200-2202-20000-220000000000000−2i2i00000000000−2i2i00
χ352-2-22-222-222-2-22-22-200-220-2200002-200000000000002i−2i00000000000−2i2i00
χ362-2-22-222-222-2-22-22-200-220-2200002-20000000000000−2i2i000000000002i−2i00
χ3744-444-4-4-44-440000-40000000000000000000000000000000000022−22000000
χ3844-444-4-4-44-440000-400000000000000000000000000000000000−2222000000
χ3944-444-4-4-4-44-40000400000000000000000000000000000000000002i2−2i20000
χ4044-444-4-4-4-44-4000040000000000000000000000000000000000000−2i22i20000
χ4144-4-4-44-4400044-4-4000000000000000000002i22i2−2i2−2i200000000000000000000
χ4244-4-4-44-4400044-4-400000000000000000000−2i2−2i22i22i200000000000000000000
χ4344-4-4-44-44000-4-44400000000000000002222−22−22000000000000000000000000
χ4444-4-4-44-44000-4-4440000000000000000−22−222222000000000000000000000000
χ454-444-4-4-444-4-40000400000000000000022−2222−22000000000000000000000000
χ464-444-4-4-444-4-400004000000000000000−2222−2222000000000000000000000000
χ474-444-4-4-44-4440000-400000000000000000002i2−2i22i2−2i200000000000000000000
χ484-444-4-4-44-4440000-40000000000000000000−2i22i2−2i22i200000000000000000000
χ494-44-444-4-40004-4-440000000004i−4i000000000000000000000000000000000
χ504-44-444-4-40004-4-44000000000−4i4i000000000000000000000000000000000
χ514-44-444-4-4000-444-4000000000000004i−4i0000000000000000000000000000
χ524-44-444-4-4000-444-400000000000000−4i4i0000000000000000000000000000
χ534-4-44-444-4-4-444-44-4400-44000000000000000000000000000000000000000
χ544-4-44-444-4-4-44-44-444004-4000000000000000000000000000000000000000
χ554-4-4-44-444000000004-400000000000002-2-222-2-2200000000000000000000
χ564-4-4-44-444000000004-40000000000000-222-2-222-200000000000000000000
χ574-4-4-44-44400000000-4400000000000002-2-22-222-200000000000000000000
χ584-4-4-44-44400000000-440000000000000-222-22-2-2200000000000000000000
χ59888-8-8-88-8000000000000000000000000000000000000000000000000000

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