Finite Group Databasebeta

← Group #328248

Character table — Group #328248

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444444222224444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-11-1-11-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-11-111-11-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11-11111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1111111111-1-1-1-1
χ9111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11-111-1-1-1111-1-111-1-111-1-1
χ10111111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-11-1-1111-111-1-1-1-111-1-111
χ11111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-111-1-1-11-1-111-1-111-1-111
χ12111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-11-1-1111-1-1-11111-1-111-1-1
χ13111111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-11-1-1111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-111-1-1-111-1-111-1-11111-1-1
χ15111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-1-1111-1-111-1-1-1-11111-1-1
χ16111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-111-1-1-11111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ2122222222-2-2-2-222-2-22-222-2-22-200000000000000202-20-2000000000000
χ2222222222-2-2-2-222-2-22-222-2-22-200000000000000-20-2202000000000000
χ2322222222-2-2-2-222-2-2-22-2-222-22000000000000220-200-20000000000000
χ2422222222-2-2-2-222-2-2-22-2-222-22000000000000-2-2020020000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2222-20000000000000020-220-2000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2222-200000000000000-202-202000000000000
χ2722222222-2-2-2-2-2-222-2222-2-2-220000000000002-20-20020000000000000
χ2822222222-2-2-2-2-2-222-2222-2-2-22000000000000-220200-20000000000000
χ2922-22-2-22-222-2-20000002-22-2002i−2i00002i−2i00000000000000002−22−2i2−i2i2−i2
χ3022-22-2-22-222-2-20000002-22-2002i−2i00002i−2i0000000000000000−22−22−i2i2−i2i2
χ3122-22-2-22-222-2-20000002-22-200−2i2i0000−2i2i00000000000000002−22−2−i2i2−i2i2
χ3222-22-2-22-222-2-20000002-22-200−2i2i0000−2i2i0000000000000000−22−22i2−i2i2−i2
χ3322-22-2-22-222-2-2000000-22-22002i−2i0000−2i2i00000000000000002−2−22i2−i2−i2i2
χ3422-22-2-22-222-2-2000000-22-22002i−2i0000−2i2i0000000000000000−222−2−i2i2i2−i2
χ3522-22-2-22-222-2-2000000-22-2200−2i2i00002i−2i00000000000000002−2−22−i2i2i2−i2
χ3622-22-2-22-222-2-2000000-22-2200−2i2i00002i−2i0000000000000000−222−2i2−i2−i2i2
χ37444-44-4-4-400004-40000000000000000000000000000002i−2i2i−2i00000000
χ38444-44-4-4-400004-4000000000000000000000000000000−2i2i−2i2i00000000
χ39444-44-4-4-40000-440000000000000000000000000000002i−2i−2i2i00000000
χ40444-44-4-4-40000-44000000000000000000000000000000−2i2i2i−2i00000000
χ4144-44-4-44-4-4-4440000004-4-440000000000000000000000000000000000
χ4244-44-4-44-4-4-444000000-444-40000000000000000000000000000000000
χ434-444-4-4-444-44-40000440000-4-400000000000000000000000000000000
χ444-444-4-4-444-44-40000-4-400004400000000000000000000000000000000
χ454-444-4-4-44-44-4400004-40000-4400000000000000000000000000000000
χ464-444-4-4-44-44-440000-4400004-400000000000000000000000000000000
χ474-4-4444-4-44-4-44000000000000004-40000000000000000000000000000
χ484-4-4444-4-44-4-4400000000000000-440000000000000000000000000000
χ494-4-4444-4-4-444-400000000000000004i−4i00000000000000000000000000
χ504-4-4444-4-4-444-40000000000000000−4i4i00000000000000000000000000
χ514-4-4-44-4440000004-400000000000000002-22-200000000000000000000
χ524-4-4-44-4440000004-40000000000000000-22-2200000000000000000000
χ534-4-4-44-444000000-4400000000000000002-2-2200000000000000000000
χ544-4-4-44-444000000-440000000000000000-222-200000000000000000000
χ5588-8-8-88-88000000000000000000000000000000000000000000000000
χ568-88-8-888-8000000000000000000000000000000000000000000000000

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