Finite Group Databasebeta

← Group #260819

Character table — Group #260819

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-1-1-111-1-111-111-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-11-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111111111-1-11-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-11-1-1-1-1-111-1-1-1-1-111-1-111111111-1-1-1-1
χ911111111-1-111-1-11111-111-111-11-11-111-11-11-1-1-111-1-111-1-111-1-1
χ1011111111-1-111-1-11111-111-111-11-11-1-1-1-11-11-111-1-111-1-111-1-111
χ1111111111-1-111-1-11111-111-111-1-11-1111-1-11-11-1-111-1-1-1-111-1-111
χ1211111111-1-111-1-11111-111-111-1-11-11-1-1-1-11-1111-1-11111-1-111-1-1
χ1311111111-1-111-1-11111-1-1-1-1-1-111-1-111111-1-11-1-1-1-11111-1-1-1-111
χ1411111111-1-111-1-11111-1-1-1-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1
χ1511111111-1-111-1-11111-1-1-1-1-1-11-111-1111-111-1-1-1-1-111-1-11111-1-1
χ1611111111-1-111-1-11111-1-1-1-1-1-11-111-1-1-11-111-11111-1-111-1-1-1-111
χ1722222222222-222-2-22-2-200-20002200000-2-20000000000000000
χ1822222222222-222-2-22-2-200-2000-2-200000220000000000000000
χ192222222222-22-2-2-2-2-22200-2000002-200000-2200000000000000
χ202222222222-22-2-2-2-2-22200-200000-22000002-200000000000000
χ212222222222-2-2-2-222-2-2-2222-2-22000000-2000000000000000000
χ222222222222-2-2-2-222-2-2-2-2-2222-20000002000000000000000000
χ2322222222-2-22-2-2-2-2-22-220020002-200000-220000000000000000
χ2422222222-2-22-2-2-2-2-22-22002000-22000002-20000000000000000
χ2522222222-2-2-2222-2-2-22-2002000002200000-2-200000000000000
χ2622222222-2-2-2222-2-2-22-200200000-2-2000002200000000000000
χ2722222222-2-2-2-22222-2-2222-2-2-2-20000002000000000000000000
χ2822222222-2-2-2-22222-2-22-2-2-2222000000-2000000000000000000
χ292-2-222-22-2002-2002-2-2202i−2i02i−2i0000000000002i−2i002-200000000
χ302-2-222-22-2002-2002-2-2202i−2i02i−2i000000000000−2i2i00-2200000000
χ312-2-222-22-2002-2002-2-220−2i2i0−2i2i0000000000002i−2i00-2200000000
χ322-2-222-22-2002-2002-2-220−2i2i0−2i2i000000000000−2i2i002-200000000
χ332-2-222-22-200-22002-22-202i−2i0−2i2i000002-200000002i−2i0000000000
χ342-2-222-22-200-22002-22-202i−2i0−2i2i00000-220000000−2i2i0000000000
χ352-2-222-22-200-22002-22-20−2i2i02i−2i000002-20000000−2i2i0000000000
χ362-2-222-22-200-22002-22-20−2i2i02i−2i00000-2200000002i−2i0000000000
χ374444-4-4-4-44-40000000000000000000000000000000000002-22-2
χ384444-4-4-4-44-4000000000000000000000000000000000000-22-22
χ394444-4-4-4-4-440000000000000000000000000000000000002-2-22
χ404444-4-4-4-4-44000000000000000000000000000000000000-222-2
χ4144-4-44-4-4400004-400000000000000000000000000002i−2i2i−2i0000
χ4244-4-44-4-4400004-40000000000000000000000000000−2i2i−2i2i0000
χ4344-4-44-4-440000-4400000000000000000000000000002i−2i−2i2i0000
χ4444-4-44-4-440000-440000000000000000000000000000−2i2i2i−2i0000
χ454-4-444-44-4004400-44-4-400000000000000000000000000000000
χ464-4-444-44-400-4-400-444400000000000000000000000000000000
χ4788-8-8-888-8000000000000000000000000000000000000000000
χ488-88-888-8-8000000000000000000000000000000000000000000
χ498-88-8-8-888000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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