Finite Group Databasebeta

← Group #175369

Character table — Group #175369

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444222444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-111-1-11-11-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111111-1-111-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1
χ5111111111111111111111-1-111-1-111111-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-111-1-1111-1-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-11111-11-1-1111-1-1-1-11111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-11-1-11-1-11111-1-1-1-11111
χ911111111-1-11-1-1-1-111111-11111-1-1-1-1-1111-1-1111-1-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-1-1-111111-11111-1-1-1-1-1-1-11-1-1111-111-1-111-1-111-1-111
χ1111111111-1-11-1-1-1-111111-111-1-1-1-111111-11-1-11-11-1-1-1-111-1-11111-1-1
χ1211111111-1-11-1-1-1-111111-111-1-1-1-1111-1-1-11-1-11-111111-1-111-1-1-1-111
χ1311111111-1-11-1-1-1-111111-1-1-11111-1-1-111-111-1-111-1-111-1-1-1-111-1-111
χ1411111111-1-11-1-1-1-111111-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-111-1-1
χ1511111111-1-11-1-1-1-111111-1-1-1-1-111111111-111-1-1-1-1-1-1-11111-1-1-1-111
χ1611111111-1-11-1-1-1-111111-1-1-1-1-111111-1-11-111-1-1-11111-1-1-1-11111-1-1
χ172222222222222-2-2-2-2-2-22-22200220000000-20-20000000000000000
χ182222222222222-2-2-2-2-2-22-2-2-200-2-200000002020000000000000000
χ192222222222-2-2-22222-2-2-2-200000000000220-200-200000000000000
χ202222222222-2-2-22222-2-2-2-200000000000-2-20200200000000000000
χ212222222222-2-2-2-2-2-2-222-2200220022-20000000-2000000000000000
χ222222222222-2-2-2-2-2-2-222-2200-2-200-2-2200000002000000000000000
χ2322222222-2-22-2-222-2-2-2-2222200-2-2000000020-20000000000000000
χ2422222222-2-22-2-222-2-2-2-222-2-200220000000-2020000000000000000
χ2522222222-2-2-22222-2-222-2-2002200-2-220000000-2000000000000000
χ2622222222-2-2-22222-2-222-2-200-2-20022-200000002000000000000000
χ2722222222-2-2-222-2-222-2-2-22000000000002-20-200200000000000000
χ2822222222-2-2-222-2-222-2-2-2200000000000-220200-200000000000000
χ29444-4-4-4-4400000004-4000000000000000000000000000000002i2−2i200
χ30444-4-4-4-4400000004-400000000000000000000000000000000−2i22i200
χ31444-4-4-4-440000000-4400000000000000000000000000000000002i2−2i2
χ32444-4-4-4-440000000-440000000000000000000000000000000000−2i22i2
χ3344-4-44-44-40000000004-4000000004i−4i000000000000000000000000
χ3444-4-44-44-40000000004-400000000−4i4i000000000000000000000000
χ3544-4-44-44-4000000000-4400004i−4i0000000000000000000000000000
χ3644-4-44-44-4000000000-440000−4i4i0000000000000000000000000000
χ374-444-4-44-40004i−4i000000000000000002-200000002i−2i000000000000
χ384-444-4-44-40004i−4i00000000000000000-220000000−2i2i000000000000
χ394-444-4-44-4000−4i4i000000000000000002-20000000−2i2i000000000000
χ404-444-4-44-4000−4i4i00000000000000000-2200000002i−2i000000000000
χ414-44-444-4-44i−4i000000000000000000000000000000000002-22i−2i0000
χ424-44-444-4-44i−4i00000000000000000000000000000000000-22−2i2i0000
χ434-44-444-4-4−4i4i000000000000000000000000000000000002-2−2i2i0000
χ444-44-444-4-4−4i4i00000000000000000000000000000000000-222i−2i0000
χ454-4-444-4-4400400000000-4000004i−4i00000000000000000000000000
χ464-4-444-4-4400400000000-400000−4i4i00000000000000000000000000
χ474-4-444-4-4400-400000000404-4000000000000000000000000000000
χ484-4-444-4-4400-40000000040-44000000000000000000000000000000
χ494-4-4-4-4444000004-4000000000000000000000000002-22-200000000
χ504-4-4-4-4444000004-400000000000000000000000000-22-2200000000
χ514-4-4-4-444400000-44000000000000000000000000002-2-2200000000
χ524-4-4-4-444400000-4400000000000000000000000000-222-200000000
χ5388-88-88-8-8000000000000000000000000000000000000000000000

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