Finite Group Databasebeta

← Group #171074

Character table — Group #171074

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444224444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11-1-1-1-1-1111-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-11-1-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-11-1-1-1-1-1-1-11-1-11111-1111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-1-1-1-1-1-11-1-111-1-1-11-1-111111111-1-1-1-1
χ911111111-1-111-1-11-1-111111-111-1-1-1-1-111-11-1111-1-1-111-1-111-1-111-1-1
χ1011111111-1-111-1-11-1-111111-111-1-1-1-1-111-11-1-1-11-111-1-111-1-111-1-111
χ1111111111-1-111-1-11-1-111111-1-1-1-1-111-1-1-11-111111-1-111-1-1-1-111-1-111
χ1211111111-1-111-1-11-1-111111-1-1-1-1-111-1-1-11-11-1-11111-1-11111-1-111-1-1
χ1311111111-1-111-1-11-1-1111-1-1-11111-1-11-11-1-1111-11-1-1-1-11111-1-1-1-111
χ1411111111-1-111-1-11-1-1111-1-1-11111-1-11-11-1-11-1-1-111111-1-1-1-11111-1-1
χ1511111111-1-111-1-11-1-1111-1-1-1-1-1111111-111-111-1-1-1-1-1-111-1-11111-1-1
χ1611111111-1-111-1-11-1-1111-1-1-1-1-1111111-111-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222-222-2-2-22-2-200-20000000200-2-2000200000000000000
χ1822222222222-222-2-2-22-2-200-20000000-20022000-200000000000000
χ192222222222-22-2-2-222-22-222-2002200-20000000-2000000000000000
χ202222222222-22-2-2-222-22-2-2-2-200-2-200200000002000000000000000
χ212222222222-2-2-2-22-2-2-2-220022200-2-200-2200000000000000000000
χ222222222222-2-2-2-22-2-2-2-22002-2-20022002-200000000000000000000
χ2322222222-2-22-2-2-2-2222-2-20020000000200-22000-200000000000000
χ2422222222-2-22-2-2-2-2222-2-20020000000-2002-2000200000000000000
χ2522222222-2-2-2222-2-2-2-22-222200-2-20020000000-2000000000000000
χ2622222222-2-2-2222-2-2-2-22-2-2-22002200-200000002000000000000000
χ2722222222-2-2-2-222222-2-2200-222002200-2-200000000000000000000
χ2822222222-2-2-2-222222-2-2200-2-2-200-2-2002200000000000000000000
χ292-2-2-2-222200002-2-22-20020002-2002-20000000000002−22−200002−22−2
χ302-2-2-2-222200002-2-22-20020002-2002-2000000000000−22−220000−22−22
χ312-2-2-2-222200002-2-22-2002000-2200-220000000000002−22−20000−22−22
χ322-2-2-2-222200002-2-22-2002000-2200-22000000000000−22−2200002−22−2
χ332-2-2-2-22220000-22-2-220020002-200-220000000000002−2−2200002−2−22
χ342-2-2-2-22220000-22-2-220020002-200-22000000000000−222−20000−222−2
χ352-2-2-2-22220000-22-2-22002000-22002-20000000000002−2−220000−222−2
χ362-2-2-2-22220000-22-2-22002000-22002-2000000000000−222−200002−2−22
χ3744-44-44-4-40004000000-404-40000000000000000000000000000000
χ3844-44-44-4-40004000000-40-440000000000000000000000000000000
χ3944-44-44-4-4000-400000040000004i−4i00000000000000000000000000
χ4044-44-44-4-4000-40000004000000−4i4i00000000000000000000000000
χ4144-4-44-4-44004000000-4000000000000000000000000000002i2−2i20000
χ4244-4-44-4-44004000000-400000000000000000000000000000−2i22i20000
χ4344-4-44-4-4400-4000000400000000000000000000000000022−22000000
χ4444-4-44-4-4400-40000004000000000000000000000000000−2222000000
χ454-4-444-44-44i−4i00000000000000000000000002-2002i−2i000000000000
χ464-4-444-44-44i−4i0000000000000000000000000-2200−2i2i000000000000
χ474-4-444-44-4−4i4i00000000000000000000000002-200−2i2i000000000000
χ484-4-444-44-4−4i4i0000000000000000000000000-22002i−2i000000000000
χ494-4-4-4-444400004-44-4400-4000000000000000000000000000000000
χ504-4-4-4-44440000-4444-400-4000000000000000000000000000000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ528-888-8-8-88000000000000000000000000000000000000000000000
χ538-88-888-8-8000000000000000000000000000000000000000000000

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