Finite Group Databasebeta

← Group #268236

Character table — Group #268236

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222224444444444444244444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-111111111-1-1
χ511111111111111111-1-111-1-11-11-1-11-1-11-111111111-1-1-1-1-1-1
χ611111111111111111-1-111-1-11-11-1-11-1-11-1-1-1-1-1-1-1-1-1111111
χ711111111111111111-1-111-1-1-11-11-1-11-1-111111-1-1-1-11111-1-1
χ811111111111111111-1-111-1-1-11-11-1-11-1-11-1-1-1-11111-1-1-1-111
χ911111111-1-1111111-111-1-1111-1-1-1-1-11-11111-1-111-1-111-1-11-1
χ1011111111-1-1111111-111-1-1111-1-1-1-1-11-111-1-111-1-111-1-111-11
χ1111111111-1-1111111-111-1-111-1111-11-1-1-1-111-1-1-1-111-1-1111-1
χ1211111111-1-1111111-111-1-111-1111-11-1-1-1-1-1-11111-1-111-1-1-11
χ1311111111-1-1111111-1-1-1-1-1-1-111-111-1-111-111-1-111-1-1-1-111-11
χ1411111111-1-1111111-1-1-1-1-1-1-111-111-1-111-1-1-111-1-11111-1-11-1
χ1511111111-1-1111111-1-1-1-1-1-1-1-1-11-11111-1111-1-1-1-11111-1-1-11
χ1611111111-1-1111111-1-1-1-1-1-1-1-1-11-11111-11-1-11111-1-1-1-1111-1
χ1722222222222-2-2-22-2200-2-200020-200200-200000000000000
χ1822222222222-2-2-22-2200-2-2000-20200-200200000000000000
χ192222222222-22-2-2-22-200-220020-200200-2000000000000000
χ202222222222-22-2-2-22-200-2200-20200-2002000000000000000
χ212222222222-2-222-2-2-2222-2-2-20000200-20000000000000000
χ222222222222-2-222-2-2-2-2-22-2220000-20020000000000000000
χ2322222222-2-22-2-2-22-2-2002200020-200-200200000000000000
χ2422222222-2-22-2-2-22-2-20022000-20200200-200000000000000
χ2522222222-2-2-22-2-2-222002-20020200-200-2000000000000000
χ2622222222-2-2-22-2-2-222002-200-20-2002002000000000000000
χ2722222222-2-2-2-222-2-2222-22-2-20000-20020000000000000000
χ2822222222-2-2-2-222-2-22-2-2-22220000200-20000000000000000
χ292-2-2-22-22200222-2-2-202-2002-2000000000000002i−2i002i−2i0000
χ302-2-2-22-22200222-2-2-202-2002-200000000000000−2i2i00−2i2i0000
χ312-2-2-22-22200222-2-2-20-2200-22000000000000002i−2i00−2i2i0000
χ322-2-2-22-22200222-2-2-20-2200-2200000000000000−2i2i002i−2i0000
χ332-2-2-22-22200-2-22-22202-200-2200000000000000002-2002-200
χ342-2-2-22-22200-2-22-22202-200-220000000000000000-2200-2200
χ352-2-2-22-22200-2-22-2220-22002-200000000000000002-200-2200
χ362-2-2-22-22200-2-22-2220-22002-20000000000000000-22002-200
χ374-44-4-444-44-4000000000000000000000002i−2i2i−2i0000000000
χ384-44-4-444-44-400000000000000000000000−2i2i−2i2i0000000000
χ394-44-4-444-4-44000000000000000000000002i−2i−2i2i0000000000
χ404-44-4-444-4-4400000000000000000000000−2i2i2i−2i0000000000
χ414-4-4-44-444004-4-44-440000000000000000000000000000000
χ424-4-4-44-44400-44-444-40000000000000000000000000000000
χ43888-8-8-8-88000000000000000000000000000000000000000
χ4488-88-8-88-8000000000000000000000000000000000000000
χ4588-8-888-8-8000000000000000000000000000000000000000
χ468-8888-8-8-8000000000000000000000000000000000000000
χ478-8-88-88-88000000000000000000000000000000000000000

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