Finite Group Databasebeta

← Group #254849

Character table — Group #254849

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444224444888888882444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-111-1-111111111-11-11-1-11-1-1-1-1-11-11111-1-1-1-1
χ611111111111111111111-1-111-1-111111111-1-11-11-1-11-1-1-1-1-11-1-1-1-11111
χ711111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-11-111111-1-1-1-1-11111
χ811111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111111-111111-1-1-1-1
χ911111111-1-1-1-11-1-11111111-1-1111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-111-1-1
χ1011111111-1-1-1-11-1-11111111-1-1111111-1-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-111
χ1111111111-1-1-1-11-1-11111111-1-111-1-1-1-11111-111-1-1-1-1-1-1-11111-1-111-1-111
χ1211111111-1-1-1-11-1-11111111-1-111-1-1-1-11111-1-1-111-111-1-111-1-111-1-111-1-1
χ1311111111-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-1111-111-1-1-1-111
χ1411111111-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-11-111-111-1-1-111-11-1-11111-1-1
χ1511111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1111-1-11-1-1-11111-1-1
χ1611111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111-111-111-111-1-1-1111-1-1-1-111
χ17222222222222222-2-2-2-2222-2-2-2-20000000020000-20000000000000000
χ18222222222222222-2-2-2-22-2-2-2-22200000000-2000020000000000000000
χ19222222222222-2-2-222-2-2-2002-200000000000020200-200000-200000000
χ20222222222222-2-2-222-2-2-2002-2000000000000-20-200200000200000000
χ21222222222222-2-2-2-2-222-200-220000000000020200-200000-2000000000
χ22222222222222-2-2-2-2-222-200-2200000000000-20-2002000002000000000
χ2322222222-2-2-2-22-2-2-2-2-2-222222-2-200000000-2000020000000000000000
χ2422222222-2-2-2-22-2-2-2-2-2-22-2-222220000000020000-20000000000000000
χ2522222222-2-2-2-2-22222-2-2-200-2200000000000020-200200000-200000000
χ2622222222-2-2-2-2-22222-2-2-200-22000000000000-20200-200000200000000
χ2722222222-2-2-2-2-222-2-222-2002-20000000000020-200200000-2000000000
χ2822222222-2-2-2-2-222-2-222-2002-200000000000-20200-2000002000000000
χ292-2-2-2222-200002002-22-2-22-2002-200002i2i−2i−2i00000000002i−2i0000000000
χ302-2-2-2222-200002002-22-2-22-2002-20000−2i−2i2i2i0000000000−2i2i0000000000
χ312-2-2-2222-200002002-22-2-2-2200-2200002i2i−2i−2i0000000000−2i2i0000000000
χ322-2-2-2222-200002002-22-2-2-2200-220000−2i−2i2i2i00000000002i−2i0000000000
χ332-2-2-2222-20000200-22-22-22-200-222i2i−2i−2i0000000000002i−2i000000000000
χ342-2-2-2222-20000200-22-22-22-200-22−2i−2i2i2i000000000000−2i2i000000000000
χ352-2-2-2222-20000200-22-22-2-22002-22i2i−2i−2i000000000000−2i2i000000000000
χ362-2-2-2222-20000200-22-22-2-22002-2−2i−2i2i2i0000000000002i−2i000000000000
χ37444-44-4-4-444-4-40000000000000000000000000000000000002-22-20000
χ38444-44-4-4-444-4-4000000000000000000000000000000000000-22-220000
χ39444-44-4-4-4-4-4440000000000000000000000000000000000002-2-220000
χ40444-44-4-4-4-4-444000000000000000000000000000000000000-222-20000
χ4144-44-44-4-44-44-400000000000000000000000000000000000000002-22-2
χ4244-44-44-4-44-44-40000000000000000000000000000000000000000-22-22
χ4344-44-44-4-4-44-4400000000000000000000000000000000000000002-2-22
χ4444-44-44-4-4-44-440000000000000000000000000000000000000000-222-2
χ4544-4-4-4-4444-4-44000000000000002-22-22-22-20000000000000000000000
χ4644-4-4-4-4444-4-4400000000000000-22-22-22-220000000000000000000000
χ4744-4-4-4-444-444-4000000000000002-22-2-22-220000000000000000000000
χ4844-4-4-4-444-444-400000000000000-22-222-22-20000000000000000000000
χ494-444-4-44-4000004-4000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ504-444-4-44-4000004-400000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ514-444-4-44-400000-44000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ524-444-4-44-400000-4400000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ534-4-4-4444-40000-4004-4-444000000000000000000000000000000000000
χ544-4-4-4444-40000-400-444-44000000000000000000000000000000000000
χ558-88-8-88-88000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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