Finite Group Databasebeta

← Group #263893

Character table — Group #263893

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444444444444888888816161616161616161616161616161616161616163232
order12224444442224444488888844888882222444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1-1-111-1-1-1-1-1111-111-1-1-1111-1-1-1-111-1-11-1
χ6111111111111111111-1-1-1-1-1-111-1-1-1-1-1111-1-11-1-1-1-1-1-11111-1-111-11
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-111-11
χ8111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-1-1111111-1-11-1
χ911111111111-1-11-1-111111111-1-1-1-11-1-111-1-11-111-11-1-111-1-11111-1-1
χ1011111111111-1-11-1-111111111-1-1-1-11-1-111-1-1-1-111-1-111-1-111-1-1-1-111
χ1111111111111-1-11-1-111111111-1-1-1-11-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ1211111111111-1-11-1-111111111-1-1-1-11-1-1-1-111-11-1-11-111-1-1111111-1-1
χ1311111111111-1-11-1-111-1-1-1-1-1-1-1-111-11111-111-1-1-111-1-1-1-11111-1-1-11
χ1411111111111-1-11-1-111-1-1-1-1-1-1-1-111-11111-11-1-1-1-11-11111-1-1-1-1111-1
χ1511111111111-1-11-1-111-1-1-1-1-1-1-1-111-111-1-11-11111-11-1-1-1-111-1-1111-1
χ1611111111111-1-11-1-111-1-1-1-1-1-1-1-111-111-1-11-1-1111-1-11111-1-111-1-1-11
χ172222222-2-22-222-2-2-2-22000000-2200000000020000-22-20000000000
χ182222222-2-22-222-2-2-2-22000000-22000000000-200002-220000000000
χ192222222-2-22-2-2-2-222-220000002-200000000020000-2-220000000000
χ202222222-2-22-2-2-2-222-220000002-2000000000-2000022-20000000000
χ2122222-2-2222-200200-2-222-2-2220000-200002-20-20020000000000000
χ2222222-2-2222-200200-2-222-2-2220000-20000-220200-20000000000000
χ2322222-2-2222-200200-2-2-2-222-2-2000020000220-200-20000000000000
χ2422222-2-2222-200200-2-2-2-222-2-2000020000-2-2020020000000000000
χ252222-22222-2-222-2-2-22-222-2-2-2-22-2222-2-20000000000000000000000
χ262222-22222-2-222-2-2-22-2-2-222222-2-2-2-2220000000000000000000000
χ272222-22222-2-2-2-2-2222-222-2-2-2-2-22-2-22220000000000000000000000
χ282222-22222-2-2-2-2-2222-2-2-22222-2222-2-2-20000000000000000000000
χ292222-222-2-2-2222222-2-2000000-2-2000000000000000002i−2i2i−2i000000
χ302222-222-2-2-2222222-2-2000000-2-200000000000000000−2i2i−2i2i000000
χ312222-222-2-2-22-2-22-2-2-2-200000022000000000000000002i−2i−2i2i000000
χ322222-222-2-2-22-2-22-2-2-2-20000002200000000000000000−2i2i2i−2i000000
χ332222-2-2-222-2200-200-222222-2-20000-2002-200002-200000000000000
χ342222-2-2-222-2200-200-222222-2-20000-200-220000-2200000000000000
χ352222-2-2-222-2200-200-22-2-2-2-22200002002-20000-2200000000000000
χ362222-2-2-222-2200-200-22-2-2-2-2220000200-2200002-200000000000000
χ3744444-4-4-4-44400-4004-400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4004004400000000000000000000000000000000000
χ3944-4-4000-440000000004i−4i0000000000000000000000000002i−2i2-200
χ4044-4-4000-440000000004i−4i000000000000000000000000000−2i2i-2200
χ4144-4-4000-44000000000−4i4i0000000000000000000000000002i−2i-2200
χ4244-4-4000-44000000000−4i4i000000000000000000000000000−2i2i2-200
χ434-4-4404-400000004-4000022−2222−220022−220000000000000000000000000
χ444-4-4404-400000004-40000−2222−222200−22220000000000000000000000000
χ454-4-4404-40000000-44000022−2222−2200−22220000000000000000000000000
χ464-4-4404-40000000-440000−2222−22220022−220000000000000000000000000
χ474-4-440-4400004-4000000022−22−22220000022−220000000000000000000000
χ484-4-440-4400004-40000000−222222−2200000−22220000000000000000000000
χ494-4-440-440000-44000000022−22−222200000−22220000000000000000000000
χ504-4-440-440000-440000000−222222−220000022−220000000000000000000000
χ5188-8-80008-800000000000000000000000000000000000000000000
χ528-88-880000-80000000000000000000000000000000000000000000
χ538-88-8-8000080000000000000000000000000000000000000000000

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