Finite Group Databasebeta

← Group #347014

Character table — Group #347014

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
χ21222222-2-2-2-222-2-200002-2002-2200-200002-22-2-20020000000000000000
χ22222222-2-2-2-222-2-200002-200-22-200200002-2-22200-20000000000000000
χ23222222-2-2-2-222-2-20000-22002-2-20020000-222-2200-20000000000000000
χ24222222-2-2-2-222-2-20000-2200-22200-20000-22-22-20020000000000000000
χ25222222-2-2-2-2-2-2222-20000000020022-22-20000-200-22-200000000000000
χ26222222-2-2-2-2-2-2222-200000000-200-2-222-200002002-2200000000000000
χ27222222-2-2-2-2-2-222-22000000002002-22-220000-200-2-2200000000000000
χ28222222-2-2-2-2-2-222-2200000000-200-22-2-22000020022-200000000000000
χ292222-2-22-22-22-22-20000222-20000002-200-2-20002-20-2200000000000000
χ302222-2-22-22-22-22-2000022-22000000-2200-2-2000-2202-200000000000000
χ312222-2-22-22-22-22-20000-2-22-2000000-2200220002-202-200000000000000
χ322222-2-22-22-22-22-20000-2-2-220000002-20022000-220-2200000000000000
χ332222-2-22-22-2-22-222-200002-222000000-2200-2-20-2200000000000000000
χ342222-2-22-22-2-22-222-20000-22-2-2000000-22002202-200000000000000000
χ352222-2-22-22-2-22-22-2200002-2-2-20000002-200220-2200000000000000000
χ362222-2-22-22-2-22-22-220000-22220000002-200-2-202-200000000000000000
χ372222-2-2-22-222-2-22222-22-2000002-2000-2-2-220000000000000000000000
χ382222-2-2-22-222-2-2222-22-2200000-22000-2-22-20000000000000000000000
χ392222-2-2-22-222-2-22-2-22-2-22000002-2000222-20000000000000000000000
χ402222-2-2-22-222-2-22-2-2-222-200000-2200022-220000000000000000000000
χ412222-2-2-22-22-222-2002-200002-20-220-2-20000-2200002200000000000000
χ422222-2-2-22-22-222-2002-20000-220-2202200002-20000-2-200000000000000
χ432222-2-2-22-22-222-200-2200002-202-20220000-220000-2-200000000000000
χ442222-2-2-22-22-222-200-220000-2202-20-2-200002-200002200000000000000
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).