Finite Group Databasebeta

← Group #263864

Character table — Group #263864

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444444444444888888816161616161616161616161616161616161616163232
order12224444442224444488888844888882444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111111-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-111-1-1-1-111-1-11-1
χ6111111111111111111-1-1-1-1-1-111-1-1-1-1-11-111-1-1-111111-1-1-1-1-1-111-11
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-1-11111-1-111-11
χ8111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1111-1-1111111-1-11-1
χ911111111111-1-11-1-111111111-1-11-1-1-1-111111-1-11-1-1-1-111-1-1-1-1-1-111
χ1011111111111-1-11-1-111111111-1-11-1-1-1-11-1-11-111-111-1-111-1-11111-1-1
χ1111111111111-1-11-1-111111111-1-11-1-1-1-1-111-11-1-11-1-111-1-1111111-1-1
χ1211111111111-1-11-1-111111111-1-11-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-111
χ1311111111111-1-11-1-111-1-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1-111-1-1111-1
χ1411111111111-1-11-1-111-1-1-1-1-1-1-1-1-111111-111-1111-1-1-1-1-1-11111-1-1-11
χ1511111111111-1-11-1-111-1-1-1-1-1-1-1-1-11111-11-1-11-1-1-1111111-1-111-1-1-11
χ1611111111111-1-11-1-111-1-1-1-1-1-1-1-1-11111-1-11-1-1111-1-11111-1-1-1-1111-1
χ1722222222-2-2-222-2-2-2-220000002-200000200-20000002-20000000000
χ1822222222-2-2-222-2-2-2-220000002-200000-2002000000-220000000000
χ1922222222-2-2-2-2-2-222-22000000-2200000200-2000000-220000000000
χ2022222222-2-2-2-2-2-222-22000000-2200000-20020000002-20000000000
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
χ292222-2-22222-200200-2-222-2-22200-200000220-200-200000000000000
χ302222-2-22222-200200-2-222-2-22200-200000-2-20200200000000000000
χ312222-2-22222-200200-2-2-2-222-2-2002000002-20-200200000000000000
χ322222-2-22222-200200-2-2-2-222-2-200200000-220200-200000000000000
χ332222-2-2-2-222200-200-2222-2-2-2-20020000000002-202-2000000000000
χ342222-2-2-2-222200-200-2222-2-2-2-2002000000000-220-22000000000000
χ352222-2-2-2-222200-200-22-2-2222200-20000000002-20-22000000000000
χ362222-2-2-2-222200-200-22-2-2222200-2000000000-2202-2000000000000
χ374444-4-444-4-4400-4004-400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4004004400000000000000000000000000000000000
χ3944-4-44-4000000004-40022−2222−22000000022−220000000000000000000000
χ4044-4-44-4000000004-400−2222−22220000000−22220000000000000000000000
χ4144-4-44-400000000-440022−2222−220000000−22220000000000000000000000
χ4244-4-44-400000000-4400−2222−2222000000022−220000000000000000000000
χ4344-4-4-44000004-40000022−22−22220000022−22000000000000000000000000
χ4444-4-4-44000004-400000−222222−2200000−2222000000000000000000000000
χ4544-4-4-4400000-440000022−22−222200000−2222000000000000000000000000
χ4644-4-4-4400000-4400000−222222−220000022−22000000000000000000000000
χ474-4-440000-440000000000004-4000000000000000000000002-22-200
χ484-4-440000-440000000000004-400000000000000000000000-22-2200
χ494-4-440000-44000000000000-44000000000000000000000002-2-2200
χ504-4-440000-44000000000000-4400000000000000000000000-222-200
χ518-88-8008-8000000000000000000000000000000000000000000000
χ528-88-800-88000000000000000000000000000000000000000000000
χ538-8-8800008-80000000000000000000000000000000000000000000

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