Finite Group Databasebeta

← Group #347010

Character table — Group #347010

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222444488888888888888888888888888881616161616161616161616163232
order12222244444444222222222224444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ411111111111111111111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11
χ51111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-111-1-1-111-1-111-1-111-1-1-11
χ61111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-111-1-1-1-1-111-1-111-1-1111-1
χ71111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11-1-1111111111-1-1-1-111-1-1
χ81111111111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-111
χ911111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ1011111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ1111111111111111-1-111-1-1-1-111-111-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111-1
χ1211111111111111-1-111-1-1-1-111-111-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-11
χ1311111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-111-11111-1-1-1-111-1-111-11
χ1411111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-111-111-1-11111-1-111-1-11-1
χ1511111111111111-1-1-1-111-1-1111-1-11-1-1-1-111111-1-11-1-11111-1-11111-1-1-1-1
χ1611111111111111-1-1-1-111-1-1111-1-11-1-1-1-111111-1-11-1-1-1-1-1-111-1-1-1-11111
χ172222222222-2-2-2-20022002200-2-2-2200000000-2-2-220000000000000000
χ182222222222-2-2-2-2002200-2-2002-2-2-200000000222-20000000000000000
χ192222222222-2-2-2-200-2-2002200222-2000000002-2-2-20000000000000000
χ202222222222-2-2-2-200-2-200-2-200-222200000000-22220000000000000000
χ21222222-2-2-2-222-2-22-200000000200-22-22-20000-20022-200000000000000
χ22222222-2-2-2-222-2-22-200000000-2002-222-20000200-2-2200000000000000
χ23222222-2-2-2-222-2-2-2200000000200-2-22-220000-2002-2200000000000000
χ24222222-2-2-2-222-2-2-2200000000-20022-2-220000200-22-200000000000000
χ25222222-2-2-2-2-2-22200002-2002-2200200002-22-2-200-20000000000000000
χ26222222-2-2-2-2-2-22200002-200-22-200-200002-2-2220020000000000000000
χ27222222-2-2-2-2-2-2220000-22002-2-200-20000-222-220020000000000000000
χ28222222-2-2-2-2-2-2220000-2200-2220020000-22-22-200-20000000000000000
χ292222-2-22-22-22-22-200002-22-20000002200-220002-20-2-200000000000000
χ302222-2-22-22-22-22-200002-2-22000000-2-200-22000-2202200000000000000
χ312222-2-22-22-22-22-20000-222-2000000-2-2002-20002-202200000000000000
χ322222-2-22-22-22-22-20000-22-2200000022002-2000-220-2-200000000000000
χ332222-2-22-22-2-22-222200002-22-2000000-2-200-220-2200000000000000000
χ342222-2-22-22-2-22-22220000-22-22000000-2-2002-202-200000000000000000
χ352222-2-22-22-2-22-22-2-200002-2-2200000022002-20-2200000000000000000
χ362222-2-22-22-2-22-22-2-20000-222-20000002200-2202-200000000000000000
χ372222-2-2-22-222-2-22002-200002202-202-20000-2-20000-2200000000000000
χ382222-2-2-22-222-2-22002-20000-2-202-20-2200002200002-200000000000000
χ392222-2-2-22-222-2-2200-220000220-220-220000-2-200002-200000000000000
χ402222-2-2-22-222-2-2200-220000-2-20-2202-20000220000-2200000000000000
χ412222-2-2-22-22-222-22-22-2-2-200000-22000-22220000000000000000000000
χ422222-2-2-22-22-222-22-2-2222000002-2000-22-2-20000000000000000000000
χ432222-2-2-22-22-222-2-222-22200000-220002-2-2-20000000000000000000000
χ442222-2-2-22-22-222-2-22-22-2-2000002-20002-2220000000000000000000000
χ454-44-44-44-4-440000000000000000000000000000000000000000002i2−2i200
χ464-44-44-44-4-44000000000000000000000000000000000000000000−2i22i200
χ474-44-44-4-444-40000000000000000000000000000000000002i2−2i200000000
χ484-44-44-4-444-4000000000000000000000000000000000000−2i22i200000000
χ494-44-4-4444-4-4000000000000000000000000000000000000002i2−2i2000000
χ504-44-4-4444-4-400000000000000000000000000000000000000−2i22i2000000
χ514-44-4-44-4-444000000000000000000000000000000000000000022−220000
χ524-44-4-44-4-4440000000000000000000000000000000000000000−22220000
χ5388-8-8000000000000000000000000000000000000002i2−2i2000000000000
χ5488-8-800000000000000000000000000000000000000−2i22i2000000000000
χ558-8-88000000000000000000000000000000000000000022−220000000000
χ568-8-880000000000000000000000000000000000000000−22220000000000

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