Finite Group Databasebeta

← Group #348488

Character table — Group #348488

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444488888888888888888888888888161616161616161632323232
order12222244444444888824444444444488888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-11111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
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
χ1111111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ1211111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ1311111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-222-2-22-2-20000000022-222-2-200000000000000000000
χ182222222222-2-2-2-222-2-2-22200000000-22-2-2-22200000000000000000000
χ192222222222-2-2-2-2-2-2222-2-2000000002-22-2-22200000000000000000000
χ202222222222-2-2-2-2-2-222-22200000000-2-2222-2-200000000000000000000
χ21222222-2-2-2-222-2-2000022-200000000-20000002i2i−2i−2i2i2i−2i−2i000000000000
χ22222222-2-2-2-222-2-2000022-200000000-2000000−2i−2i2i2i−2i−2i2i2i000000000000
χ23222222-2-2-2-222-2-20000-2-220000000020000002i2i−2i−2i−2i−2i2i2i000000000000
χ24222222-2-2-2-222-2-20000-2-22000000002000000−2i−2i2i2i2i2i−2i−2i000000000000
χ25222222-2-2-2-2-2-22200002-2222-2-222-2-2-200000000000000000000000000
χ26222222-2-2-2-2-2-22200002-22-2-222-2-222-200000000000000000000000000
χ27222222-2-2-2-2-2-2220000-22-222-2-2-2-222200000000000000000000000000
χ28222222-2-2-2-2-2-2220000-22-2-2-22222-2-2200000000000000000000000000
χ292222-2-222-2-22-22-2000000000002-22-20002i−2i2i−2i2i−2i2i−2i0000000000000000
χ302222-2-222-2-22-22-2000000000002-22-2000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ312222-2-222-2-22-22-200000000000-22-220002i−2i2i−2i−2i2i−2i2i0000000000000000
χ322222-2-222-2-22-22-200000000000-22-22000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ332222-2-222-2-2-22-2200000002-22-200000002i−2i−2i2i00002i−2i2i−2i000000000000
χ342222-2-222-2-2-22-2200000002-22-20000000−2i2i2i−2i0000−2i2i−2i2i000000000000
χ352222-2-222-2-2-22-220000000-22-2200000002i−2i−2i2i0000−2i2i−2i2i000000000000
χ362222-2-222-2-2-22-220000000-22-220000000−2i2i2i−2i00002i−2i2i−2i000000000000
χ372222-2-2-2-2222-2-2222220002-2-2200000-2-200002-2-220000000000000000
χ382222-2-2-2-2222-2-222222000-222-200000-2-20000-222-20000000000000000
χ392222-2-2-2-2222-2-22-2-2-2-20002-2-2200000220000-222-20000000000000000
χ402222-2-2-2-2222-2-22-2-2-2-2000-222-2000002200002-2-220000000000000000
χ412222-2-2-2-222-222-222-2-200000002-2-220-22000000002-2-22000000000000
χ422222-2-2-2-222-222-222-2-20000000-222-20-2200000000-222-2000000000000
χ432222-2-2-2-222-222-2-2-22200000002-2-2202-200000000-222-2000000000000
χ442222-2-2-2-222-222-2-2-2220000000-222-202-2000000002-2-22000000000000
χ454-4-444-44-44-400000000000000000000000000000000000000002i2−2i20000
χ464-4-444-44-44-40000000000000000000000000000000000000000−2i22i20000
χ474-4-444-4-44-440000000000000000000000000000000000002i2−2i200000000
χ484-4-444-4-44-44000000000000000000000000000000000000−2i22i200000000
χ494-4-44-444-4-4400000000000000000000000000000000002i2−2i20000000000
χ504-4-44-444-4-440000000000000000000000000000000000−2i22i20000000000
χ514-4-44-44-444-4000000000000000000000000000000000000002i2−2i2000000
χ524-4-44-44-444-400000000000000000000000000000000000000−2i22i2000000
χ5388-8-800000000000042−4200000000000000000000000000000000000000
χ5488-8-8000000000000−424200000000000000000000000000000000000000
χ558-88-8000000000042−420000000000000000000000000000000000000000
χ568-88-80000000000−42420000000000000000000000000000000000000000

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