Finite Group Databasebeta

← Group #254899

Character table — Group #254899

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222224444444444442244888888882244444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111-111-11-11-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-1-11-11-11-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-11111-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111111111-1-1-1-1
χ911111111-1-1-1-1-1-11-1-11111111111111-1-1-1-1-11-1-1-1-111-111-1-1111-1-111-1-1
χ1011111111-1-1-1-1-1-11-1-11111111111111-1-1-1-1-1-11111-1-1-111-1-1-1-1-111-1-111
χ1111111111-1-1-1-1-1-11-1-1111111111-1-1-1-11111-11-1-1-1-111-1-1-1111-1-111-1-111
χ1211111111-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-11111-1-1-1-1-111-111-1-111-1-1
χ1311111111-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-111-11-111-11-1-111-111-1-1-1-111
χ1411111111-1-1-1-1-1-11-1-111111-1-1-1-11111-1-1-1-11-11-11-1-111-1-1111-1-11111-1-1
χ1511111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111-11-111-1111-1-1-1-1-11111-1-1
χ1611111111-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111-11-11-1-11111-1-1111-1-1-1-111
χ17222222222222-2-2-2-2-222-2-2-200000000000000020-20200000-200000000
χ18222222222222-2-2-2-2-222-2-2-2000000000000000-2020-200000200000000
χ192222222222-2-222-2-2-2-2-222-200000000000002-2020-2000000000000000
χ202222222222-2-222-2-2-2-2-222-20000000000000-220-202000000000000000
χ212222222222-2-2-2-2222-2-2-2-2222-2-200000000-2000000020000000000000
χ222222222222-2-2-2-2222-2-2-2-22-2-2220000000020000000-20000000000000
χ2322222222-2-222222-2-2-2-2-2-2222-2-20000000020000000-20000000000000
χ2422222222-2-222222-2-2-2-2-2-22-2-22200000000-2000000020000000000000
χ2522222222-2-222-2-2-222-2-222-20000000000000220-20-2000000000000000
χ2622222222-2-222-2-2-222-2-222-20000000000000-2-20202000000000000000
χ2722222222-2-2-2-222-22222-2-2-200000000000000020-20-200000200000000
χ2822222222-2-2-2-222-22222-2-2-2000000000000000-2020200000-200000000
χ2922-2-2-222-20000002002-22-2-22-22-200002i2i−2i−2i000000000002i−2i000000000
χ3022-2-2-222-20000002002-22-2-22-22-20000−2i−2i2i2i00000000000−2i2i000000000
χ3122-2-2-222-20000002002-22-2-2-22-2200002i2i−2i−2i00000000000−2i2i000000000
χ3222-2-2-222-20000002002-22-2-2-22-220000−2i−2i2i2i000000000002i−2i000000000
χ3322-2-2-222-2000000200-22-22-22-2-222i2i−2i−2i00000000000002i−2i00000000000
χ3422-2-2-222-2000000200-22-22-22-2-22−2i−2i2i2i0000000000000−2i2i00000000000
χ3522-2-2-222-2000000200-22-22-2-222-22i2i−2i−2i0000000000000−2i2i00000000000
χ3622-2-2-222-2000000200-22-22-2-222-2−2i−2i2i2i00000000000002i−2i00000000000
χ37444-4-4-4-44004-40000000000000000000000000000000000002i−2i2i−2i0000
χ38444-4-4-4-44004-4000000000000000000000000000000000000−2i2i−2i2i0000
χ39444-4-4-4-4400-440000000000000000000000000000000000002i−2i−2i2i0000
χ40444-4-4-4-4400-44000000000000000000000000000000000000−2i2i2i−2i0000
χ4144-4-4-444-4000000-4004-4-4440000000000000000000000000000000000
χ4244-4-4-444-4000000-400-444-440000000000000000000000000000000000
χ434-444-4-44-400000004-40000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ444-444-4-44-400000004-4000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ454-444-4-44-40000000-440000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ464-444-4-44-40000000-44000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ474-44-444-4-400004-4000000000000000000000000000000000000002i−2i2i−2i
χ484-44-444-4-400004-400000000000000000000000000000000000000−2i2i−2i2i
χ494-44-444-4-40000-44000000000000000000000000000000000000002i−2i−2i2i
χ504-44-444-4-40000-4400000000000000000000000000000000000000−2i2i2i−2i
χ514-4-4-44-4444-400000000000000002-2-222-2-220000000000000000000000
χ524-4-4-44-4444-40000000000000000-222-2-222-20000000000000000000000
χ534-4-4-44-444-4400000000000000002-2-22-222-20000000000000000000000
χ544-4-4-44-444-440000000000000000-222-22-2-220000000000000000000000
χ5588-888-8-8-8000000000000000000000000000000000000000000000000
χ568-8-88-88-88000000000000000000000000000000000000000000000000

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