Finite Group Databasebeta

← Group #175463

Character table — Group #175463

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444444444444222444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-11-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111-1-1-1-11111-11-1-1-1-11-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-11111-11-1-1-1-11-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-111111111
χ911111111-1-111-1-1-1-11111-111-1-111-1-11-111-1-11-111-1-111-1-111-1-111-1-1
χ1011111111-1-111-1-1-1-11111-111-1-111-1-11-111-1-11-1-1-111-1-111-1-111-1-111
χ1111111111-1-111-1-1-1-11111-111-1-1-1-11111-1-1-11-1111-1-1-1-11111-1-1-1-111
χ1211111111-1-111-1-1-1-11111-111-1-1-1-11111-1-1-11-11-1-11111-1-1-1-11111-1-1
χ1311111111-1-111-1-1-1-11111-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ1411111111-1-111-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ1511111111-1-111-1-1-1-11111-1-1-111-1-111-11111-1-1-111-1-111-1-1-1-111-1-111
χ1611111111-1-111-1-1-1-11111-1-1-111-1-111-11111-1-1-1-1-111-1-11111-1-111-1-1
χ1722222222222-2-2-2-2-2-2-22-22000022-2-2020000-200000000000000000
χ1822222222222-2-2-2-2-2-2-22-220000-2-2220-20000200000000000000000
χ192222222222-2222-2-2-2-2-22-222-2-20000-200020000000000000000000
χ202222222222-2222-2-2-2-2-22-2-2-22200002000-20000000000000000000
χ212222222222-2-2-2-22222-2-2-200000000002-2020-20000000000000000
χ222222222222-2-2-2-22222-2-2-20000000000-220-2020000000000000000
χ2322222222-2-22-22222-2-22-2-2000022220-20000-200000000000000000
χ2422222222-2-22-22222-2-22-2-20000-2-2-2-2020000200000000000000000
χ2522222222-2-2-22-2-222-2-2-22222220000-2000-20000000000000000000
χ2622222222-2-2-22-2-222-2-2-222-2-2-2-20000200020000000000000000000
χ2722222222-2-2-2-222-2-222-2-2200000000002-20-2020000000000000000
χ2822222222-2-2-2-222-2-222-2-220000000000-22020-20000000000000000
χ294444-4-4-4-40040000000-40000004-400000000000000000000000000
χ304444-4-4-4-40040000000-4000000-4400000000000000000000000000
χ314444-4-4-4-400-400000004000000004i−4i000000000000000000000000
χ324444-4-4-4-400-40000000400000000−4i4i000000000000000000000000
χ3344-4-44-44-400004-4000000000000000000000002i−2i2i−2i000000000000
χ3444-4-44-44-400004-400000000000000000000000−2i2i−2i2i000000000000
χ3544-4-44-44-40000-44000000000000000000000002i−2i−2i2i000000000000
χ3644-4-44-44-40000-4400000000000000000000000−2i2i2i−2i000000000000
χ374-44-44-4-4400040000000-404i−4i000000000000000000000000000000
χ384-44-44-4-4400040000000-40−4i4i000000000000000000000000000000
χ394-44-44-4-44000-4000000040004-40000000000000000000000000000
χ404-44-44-4-44000-400000004000-440000000000000000000000000000
χ414-44-4-444-40000004-400000000000000000000000002i−2i2i−2i00000000
χ424-44-4-444-40000004-40000000000000000000000000−2i2i−2i2i00000000
χ434-44-4-444-4000000-4400000000000000000000000002i−2i−2i2i00000000
χ444-44-4-444-4000000-440000000000000000000000000−2i2i2i−2i00000000
χ454-4-4444-4-44-4000000000000000000000000000000000002i−2i2i−2i0000
χ464-4-4444-4-44-400000000000000000000000000000000000−2i2i−2i2i0000
χ474-4-4444-4-4-44000000000000000000000000000000000002i−2i−2i2i0000
χ484-4-4444-4-4-4400000000000000000000000000000000000−2i2i2i−2i0000
χ494-4-44-4-444000000004-4000000000000000000000000000000022−2200
χ504-4-44-4-444000000004-40000000000000000000000000000000−222200
χ514-4-44-4-44400000000-4400000000000000000000000000000000022−22
χ524-4-44-4-44400000000-44000000000000000000000000000000000−2222
χ5388-8-8-88-88000000000000000000000000000000000000000000000

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