Finite Group Databasebeta

← Group #263863

Character table — Group #263863

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444444444444888888816161616161616161616161616161616161616163232
order12224444442224444488888844888882222222444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1111-111-1-1-1-111-1-11-1
χ6111111111111111111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-11-1-1-11111-1-111-11
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-1-111-11
χ8111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-11-1-1111111-1-11-1
χ911111111111-1-11-1-111111111-1-11-1-1-1-111-111-111-1-1-1-111-1-11111-1-1
χ1011111111111-1-11-1-111111111-1-11-1-1-1-111-111-1-1-1-1-111-1-111-1-1-1-111
χ1111111111111-1-11-1-111111111-1-11-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-1-111
χ1211111111111-1-11-1-111111111-1-11-1-1-1-1-1-11-1-11-1-11111-1-1111111-1-1
χ1311111111111-1-11-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1111-11-1-1-1-11111-1-1-11
χ1411111111111-1-11-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11-1-1-111111-1-1-1-1111-1
χ1511111111111-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-1111-1111-1-1-1-1-111-1-1111-1
χ1611111111111-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-1111-1-1-11-11111-1-111-1-1-11
χ1722222222-2-2-222-2-2-2-220000002-2000000000002-2002-20000000000
χ1822222222-2-2-222-2-2-2-220000002-200000000000-2200-220000000000
χ1922222222-2-2-2-2-2-222-22000000-22000000000002-200-220000000000
χ2022222222-2-2-2-2-2-222-22000000-2200000000000-22002-20000000000
χ21222222-2-222-222-2-2-22-22222-2-2-22-222-2-20000000000000000000000
χ22222222-2-222-222-2-2-22-2-2-2-2-222-222-2-2220000000000000000000000
χ23222222-2-222-2-2-2-2222-22222-2-22-2-2-2-2220000000000000000000000
χ24222222-2-222-2-2-2-2222-2-2-2-2-2222-2222-2-20000000000000000000000
χ25222222-2-2-2-2222222-2-2000000-2-2000000000000000002i−2i2i−2i000000
χ26222222-2-2-2-2222222-2-2000000-2-200000000000000000−2i2i−2i2i000000
χ27222222-2-2-2-22-2-22-2-2-2-200000022000000000000000002i−2i−2i2i000000
χ28222222-2-2-2-22-2-22-2-2-2-20000002200000000000000000−2i2i2i−2i000000
χ292222-2-22222-200200-2-222-2-22200-2000000200200-2-2000000000000
χ302222-2-22222-200200-2-222-2-22200-2000000-200-20022000000000000
χ312222-2-22222-200200-2-2-2-222-2-2002000000200-200-22000000000000
χ322222-2-22222-200200-2-2-2-222-2-2002000000-2002002-2000000000000
χ332222-2-2-2-222200-200-2222-2-2-2-200200002-202-200000000000000000
χ342222-2-2-2-222200-200-2222-2-2-2-20020000-220-2200000000000000000
χ352222-2-2-2-222200-200-22-2-2222200-200002-20-2200000000000000000
χ362222-2-2-2-222200-200-22-2-2222200-20000-2202-200000000000000000
χ374444-4-444-4-4400-4004-400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4004004400000000000000000000000000000000000
χ394-44-40000-440000000000004-4000000000000000000000002-22-200
χ404-44-40000-440000000000004-400000000000000000000000-22-2200
χ414-44-40000-44000000000000-44000000000000000000000002-2-2200
χ424-44-40000-44000000000000-4400000000000000000000000-222-200
χ434-4-444-4000000004-40022−2222−22000000022−220000000000000000000000
χ444-4-444-4000000004-400−2222−22220000000−22220000000000000000000000
χ454-4-444-400000000-440022−2222−220000000−22220000000000000000000000
χ464-4-444-400000000-4400−2222−2222000000022−220000000000000000000000
χ474-4-44-44000004-40000022−22−22220000022−22000000000000000000000000
χ484-4-44-44000004-400000−222222−2200000−2222000000000000000000000000
χ494-4-44-4400000-440000022−22−222200000−2222000000000000000000000000
χ504-4-44-4400000-4400000−222222−220000022−22000000000000000000000000
χ5188-8-8008-8000000000000000000000000000000000000000000000
χ5288-8-800-88000000000000000000000000000000000000000000000
χ538-88-800008-80000000000000000000000000000000000000000000

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