Finite Group Databasebeta

← Group #175019

Character table — Group #175019

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1-1-111111111
χ511111111111111111111-1-11-1-1111111-1-1-1-1-111-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-11-1-11111111-1-1-111-1-11-1111-1-111-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-11111111-1-1-111-1-11-1111-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-11111111-1-1-1-1-111-111-1-11111-1-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-11-1-11111111-1-1-1-1-111-111-1-111-1-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-11-1-111111-1-1-11111-1-11-1-1-1-111111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-11-1-111111-1-1-11111-1-11-1-1-1-111-1-111111-1-1-1-11111-1-1
χ1511111111-1-1-1-11-1-111111-1-1-111-1-111-11-111-1-1111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-111111-1-1-111-1-111-11-111-1-1-1-111111-1-111-1-1-1-111
χ172222222222222-2-2-2-2-2-2200-20000000002-22-200000000000000000
χ182222222222222-2-2-2-2-2-2200-2000000000-22-2200000000000000000
χ192222222222-2-2-222-2-222-200-20022-2-2-220000000000000000000000
χ202222222222-2-2-222-2-222-200-200-2-2222-20000000000000000000000
χ212222222222-2-2-2-2-222-2-2-2222-2-2000000-2000000200000000000000
χ222222222222-2-2-2-2-222-2-2-2-2-22220000002000000-200000000000000
χ2322222222-2-222-22222-2-2-222-222000000-2000000-200000000000000
χ2422222222-2-222-22222-2-2-2-2-2-2-2-20000002000000200000000000000
χ2522222222-2-222-2-2-2-2-222-2002002222-2-20000000000000000000000
χ2622222222-2-222-2-2-2-2-222-200200-2-2-2-2220000000000000000000000
χ2722222222-2-2-2-2222-2-2-2-220020000000002-2-2200000000000000000
χ2822222222-2-2-2-2222-2-2-2-22002000000000-222-200000000000000000
χ2944-44-4-44-4004-400000000000000000000000000000000000002i−2i2i−2i
χ3044-44-4-44-4004-40000000000000000000000000000000000000−2i2i−2i2i
χ3144-44-4-44-400-4400000000000000000000000000000000000002i−2i−2i2i
χ3244-44-4-44-400-440000000000000000000000000000000000000−2i2i2i−2i
χ3344-4-44-4-444-4000000000000000000000000000000000002i−2i2i−2i0000
χ3444-4-44-4-444-400000000000000000000000000000000000−2i2i−2i2i0000
χ3544-4-44-4-44-44000000000000000000000000000000000002i−2i−2i2i0000
χ3644-4-44-4-44-4400000000000000000000000000000000000−2i2i2i−2i0000
χ374-444-4-4-4400000004-40000004i−4i0000000000000000000000000000
χ384-444-4-4-4400000004-4000000−4i4i0000000000000000000000000000
χ394-444-4-4-440000000-440004i−4i0000000000000000000000000000000
χ404-444-4-4-440000000-44000−4i4i0000000000000000000000000000000
χ414-44-44-44-4000004i−4i0000000000000000000002i−2i02-2000000000000
χ424-44-44-44-4000004i−4i000000000000000000000−2i2i0-22000000000000
χ434-44-44-44-400000−4i4i0000000000000000000002i−2i0-22000000000000
χ444-44-44-44-400000−4i4i000000000000000000000−2i2i02-2000000000000
χ454-4-4444-4-40000000004-4000000004i−4i000000000000000000000000
χ464-4-4444-4-40000000004-400000000−4i4i000000000000000000000000
χ474-4-4444-4-4000000000-440000004i−4i00000000000000000000000000
χ484-4-4444-4-4000000000-44000000−4i4i00000000000000000000000000
χ494-4-4-4-444400004000000-4000000000000000000000002i2−2i200000000
χ504-4-4-4-444400004000000-400000000000000000000000−2i22i200000000
χ514-4-4-4-44440000-4000000400000000000000000000022−220000000000
χ524-4-4-4-44440000-40000004000000000000000000000−22220000000000
χ53888-8-88-8-8000000000000000000000000000000000000000000000

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