Finite Group Databasebeta

← Group #260829

Character table — Group #260829

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-1-1-1111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1
χ911111111-1-111-1-11111-11111-11-1-1-11-11-1111-1-1-111-1-111-1-111-1-1
χ1011111111-1-111-1-11111-11111-11-1-1-11-11-1-1-11-111-1-111-1-111-1-111
χ1111111111-1-111-1-11111-11111-1-11-1-1-11-1111-11-1-111-1-1-1-111-1-111
χ1211111111-1-111-1-11111-11111-1-11-1-1-11-11-1-1-1111-1-11111-1-111-1-1
χ1311111111-1-111-1-11111-1-1-1-1-1-11-1111-1-1111-11-1-1-1-11111-1-1-1-111
χ1411111111-1-111-1-11111-1-1-1-1-1-11-1111-1-11-1-1-111111-1-1-1-11111-1-1
χ1511111111-1-111-1-11111-1-1-1-1-1-1-1111-111-1111-1-1-1-1-111-1-11111-1-1
χ1611111111-1-111-1-11111-1-1-1-1-1-1-1111-111-1-1-11-11111-1-111-1-1-1-111
χ1722222222222-222-2-22-2-20000-22200-2-200000000000000000000
χ1822222222222-222-2-22-2-20000-2-2-2002200000000000000000000
χ192222222222-22-2-2-2-2-2220000-20000002200-2-200000000000000
χ202222222222-22-2-2-2-2-2220000-2000000-2-2002200000000000000
χ212222222222-2-2-2-222-2-2-222-2-22002-20000000000000000000000
χ222222222222-2-2-2-222-2-2-2-2-222200-220000000000000000000000
χ2322222222-2-22-2-2-2-2-22-22000022-200-2200000000000000000000
χ2422222222-2-22-2-2-2-2-22-2200002-22002-200000000000000000000
χ2522222222-2-2-2222-2-2-22-2000020000002-200-2200000000000000
χ2622222222-2-2-2222-2-2-22-200002000000-22002-200000000000000
χ2722222222-2-2-2-22222-2-2222-2-2-200-220000000000000000000000
χ2822222222-2-2-2-22222-2-22-2-222-2002-20000000000000000000000
χ2922-2-222-2-2002-2002-2-2202i−2i2i−2i00000000000002i−2i002-200000000
χ3022-2-222-2-2002-2002-2-2202i−2i2i−2i0000000000000−2i2i00-2200000000
χ3122-2-222-2-2002-2002-2-220−2i2i−2i2i00000000000002i−2i00-2200000000
χ3222-2-222-2-2002-2002-2-220−2i2i−2i2i0000000000000−2i2i002-200000000
χ3322-2-222-2-200-22002-22-202i−2i−2i2i0000000002-200002i−2i0000000000
χ3422-2-222-2-200-22002-22-202i−2i−2i2i000000000-220000−2i2i0000000000
χ3522-2-222-2-200-22002-22-20−2i2i2i−2i0000000002-20000−2i2i0000000000
χ3622-2-222-2-200-22002-22-20−2i2i2i−2i000000000-2200002i−2i0000000000
χ3744-4-444-4-4004400-44-4-400000000000000000000000000000000
χ3844-4-444-4-400-4-400-444400000000000000000000000000000000
χ394-44-44-44-44-4000000000000000000000000000000002i−2i2i−2i0000
χ404-44-44-44-44-400000000000000000000000000000000−2i2i−2i2i0000
χ414-44-44-44-4-44000000000000000000000000000000002i−2i−2i2i0000
χ424-44-44-44-4-4400000000000000000000000000000000−2i2i2i−2i0000
χ434-4-4-4-444400004-4000000000000000000000000000000002-22-2
χ444-4-4-4-444400004-400000000000000000000000000000000-22-22
χ454-4-4-4-44440000-44000000000000000000000000000000002-2-22
χ464-4-4-4-44440000-4400000000000000000000000000000000-222-2
χ47888-8-8-8-88000000000000000000000000000000000000000000
χ4888-88-8-88-8000000000000000000000000000000000000000000
χ498-888-88-8-8000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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