Finite Group Databasebeta

← Group #316985

Character table — Group #316985

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224444448888888888161616161616161616161616161616161616161616161616
order12222222444444444444444488888888444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-111-1-11111-1-1-1-1111-1-1-111-1-11-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-1-11111-1-1-1-111-11-1-111-1-1-11-1-111-1-111-1-111
χ111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-1111-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1111-1-111-11-1-11111-1-111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1111-1-1-11111-1-1-1-111
χ141111111111111111-1-1-1-111-1-1-1-1-1-1111111-11-1-1-1-111-1111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-11-11111-1-11-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-111111-1-1-1111-1-111-1-1-1-111
χ172222222222-2-2-2-2222222-2-2-2-2000000000022000000-2-2000000000000
χ182222222222-2-2-2-2222222-2-2-2-20000000000-2-200000022000000000000
χ192222222222-2-2-2-222-2-2-2-2-2-22200000000002-2000000-22000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-2220000000000-220000002-2000000000000
χ2122222222-2-22222-2-222-2-2-2-22-222-2-222-2-2000000000000000000000000
χ2222222222-2-22222-2-222-2-2-2-22-2-2-222-2-222000000000000000000000000
χ2322222222-2-22222-2-2-2-222-2-2-2222-2-2-2-222000000000000000000000000
χ2422222222-2-22222-2-2-2-222-2-2-22-2-22222-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-22000000000000000000002i−2i2i−2i00000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2200000000000000000000−2i2i−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222-2000000000000000000002i−2i−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222-200000000000000000000−2i2i2i−2i00000000
χ292-2-2-2222-22-222-2-22-200002-20000002i−2i2i−2i00002i−2i2-20000000000000000
χ302-2-2-2222-22-222-2-22-200002-20000002i−2i2i−2i0000−2i2i-220000000000000000
χ312-2-2-2222-22-222-2-22-200002-2000000−2i2i−2i2i00002i−2i-220000000000000000
χ322-2-2-2222-22-222-2-22-200002-2000000−2i2i−2i2i0000−2i2i2-20000000000000000
χ332-2-2-2222-2-2222-2-2-220000-220000002i−2i−2i2i2-20000002i−2i00000000000000
χ342-2-2-2222-2-2222-2-2-220000-220000002i−2i−2i2i-22000000−2i2i00000000000000
χ352-2-2-2222-2-2222-2-2-220000-22000000−2i2i2i−2i2-2000000−2i2i00000000000000
χ362-2-2-2222-2-2222-2-2-220000-22000000−2i2i2i−2i-220000002i−2i00000000000000
χ37444-44-4-4-4004-44-40000000000000000000000000000000000000022−2200
χ38444-44-4-4-4004-44-400000000000000000000000000000000000000−222200
χ39444-44-4-4-400-44-44000000000000000000000000000000000000000022−22
χ40444-44-4-4-400-44-440000000000000000000000000000000000000000−2222
χ4144-44-44-4-44-40000-444-44-4000000000000000000000000000000000000
χ4244-44-44-4-44-40000-44-44-44000000000000000000000000000000000000
χ4344-44-44-4-4-4400004-44-4-44000000000000000000000000000000000000
χ4444-44-44-4-4-4400004-4-444-4000000000000000000000000000000000000
χ454-44-4-44-44440000-4-40000000022−2222−220000000000000000000000000000
χ464-44-4-44-44440000-4-400000000−2222−22220000000000000000000000000000
χ474-44-4-44-44-4-40000440000000022−22−22220000000000000000000000000000
χ484-44-4-44-44-4-400004400000000−222222−220000000000000000000000000000
χ494-4-444-4-44004-4-440000000000000000000000000000000000002i2−2i20000
χ504-4-444-4-44004-4-44000000000000000000000000000000000000−2i22i20000
χ514-4-444-4-4400-444-400000000000000000000000000000000002i2−2i2000000
χ524-4-444-4-4400-444-40000000000000000000000000000000000−2i22i2000000
χ534-4-4-4444-44-4-4-4444-40000-440000000000000000000000000000000000
χ544-4-4-4444-4-44-4-444-4400004-40000000000000000000000000000000000
χ5588-8-8-8-888000000000000000000000000000000000000000000000000
χ568-888-8-88-8000000000000000000000000000000000000000000000000

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