Finite Group Databasebeta

← Group #348509

Character table — Group #348509

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444488888888888888888888888888161616161616161632323232
order12222244444444888822244444444488888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ6111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1111-1-11
χ1211111111111111-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1-1111111-1-11111-1-1-111-1
χ1311111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-111-1-1-11-11
χ1411111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-1111-11-1
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1111111-1-1-1-111-1-1-1-111-111-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-222-2-2002-200002-2002-2-2-20000220000000000000000
χ182222222222-2-2-2-222-2-200-220000-2200222-20000-2-20000000000000000
χ192222222222-2-2-2-2-2-222002-200002-200-22220000-2-20000000000000000
χ202222222222-2-2-2-2-2-22200-220000-2200-2-2-220000220000000000000000
χ21222222-2-2-2-222-2-20000002-20000-220000002i2i−2i−2i002i2i−2i−2i000000000000
χ22222222-2-2-2-222-2-20000002-20000-22000000−2i−2i2i2i00−2i−2i2i2i000000000000
χ23222222-2-2-2-222-2-2000000-2200002-20000002i2i−2i−2i00−2i−2i2i2i000000000000
χ24222222-2-2-2-222-2-2000000-2200002-2000000−2i−2i2i2i002i2i−2i−2i000000000000
χ25222222-2-2-2-2-2-22200002-2222-22-2-2-22-200000000000000000000000000
χ26222222-2-2-2-2-2-22200002-2-2-2-222-222-2200000000000000000000000000
χ27222222-2-2-2-2-2-2220000-2222-22-22-2-2-2200000000000000000000000000
χ28222222-2-2-2-2-2-2220000-22-2-22-2-22222-200000000000000000000000000
χ292222-2-222-2-22-22-200000000220000-2-202i−2i02i−2i2i−2i2i−2i0000000000000000
χ302222-2-222-2-22-22-200000000220000-2-20−2i2i0−2i2i−2i2i−2i2i0000000000000000
χ312222-2-222-2-22-22-200000000-2-200002202i−2i0−2i2i−2i2i2i−2i0000000000000000
χ322222-2-222-2-22-22-200000000-2-20000220−2i2i02i−2i2i−2i−2i2i0000000000000000
χ332222-2-222-2-2-22-220000220000-2-2000002i−2i00000−2i2i2i−2i2i−2i000000000000
χ342222-2-222-2-2-22-220000220000-2-200000−2i2i000002i−2i−2i2i−2i2i000000000000
χ352222-2-222-2-2-22-220000-2-2000022000002i−2i00000−2i2i−2i2i−2i2i000000000000
χ362222-2-222-2-2-22-220000-2-200002200000−2i2i000002i−2i2i−2i2i−2i000000000000
χ372222-2-2-2-2222-2-2222222-20000-220000-200-22-2-22000000000000000000
χ382222-2-2-2-2222-2-222222-2200002-20000-200-2-222-2000000000000000000
χ392222-2-2-2-2222-2-22-2-2-2-22-20000-2200002002-222-2000000000000000000
χ402222-2-2-2-2222-2-22-2-2-2-2-2200002-2000020022-2-22000000000000000000
χ412222-2-2-2-222-222-222-2-200002-20000-22-2002000000-222-2000000000000
χ422222-2-2-2-222-222-222-2-20000-2200002-2-20020000002-2-22000000000000
χ432222-2-2-2-222-222-2-2-22200002-20000-22200-20000002-2-22000000000000
χ442222-2-2-2-222-222-2-2-2220000-2200002-2200-2000000-222-2000000000000
χ454-44-44-44-44-400000000000000000000000000000000000022−2200000000
χ464-44-44-44-44-4000000000000000000000000000000000000−222200000000
χ474-44-44-4-44-4400000000000000000000000000000000000000002i2−2i20000
χ484-44-44-4-44-440000000000000000000000000000000000000000−2i22i20000
χ494-44-4-444-4-440000000000000000000000000000000000000022−22000000
χ504-44-4-444-4-4400000000000000000000000000000000000000−2222000000
χ514-44-4-44-444-400000000000000000000000000000000002i2−2i20000000000
χ524-44-4-44-444-40000000000000000000000000000000000−2i22i20000000000
χ5388-8-800000000000042−4200000000000000000000000000000000000000
χ5488-8-8000000000000−424200000000000000000000000000000000000000
χ558-8-8800000000004i2−4i20000000000000000000000000000000000000000
χ568-8-880000000000−4i24i20000000000000000000000000000000000000000

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