Finite Group Databasebeta

← Group #263891

Character table — Group #263891

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444444444444888888816161616161616161616161616161616161616163232
order12224444442444444488888824888882244444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1-1-111-1-1-1-1-11-1111-1-1-11111-1-1-1-111-1-11-1
χ6111111111111111111-1-1-1-1-1-111-1-1-1-1-11-1111-1-1-1-1-1-1-11111-1-111-11
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-111-11
χ8111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1111-1-1-1-1111111-1-11-1
χ911111111111-1-11-1-111111111-1-1-1-11-1-111-1-111-1-111-1-111-1-1-1-1-1-111
χ1011111111111-1-11-1-111111111-1-1-1-11-1-111-1-111-1-1-1-111-1-1111111-1-1
χ1111111111111-1-11-1-111111111-1-1-1-11-1-1-1-111-1-11111-1-111-1-11111-1-1
χ1211111111111-1-11-1-111111111-1-1-1-11-1-1-1-111-1-111-1-111-1-111-1-1-1-111
χ1311111111111-1-11-1-111-1-1-1-1-1-1-1-111-1111-1-1-11-11111-1-1-1-111-1-1111-1
χ1411111111111-1-11-1-111-1-1-1-1-1-1-1-111-1111-1-1-11-111-1-11111-1-111-1-1-11
χ1511111111111-1-11-1-111-1-1-1-1-1-1-1-111-111-1111-11-1-111-1-1-1-11111-1-1-11
χ1611111111111-1-11-1-111-1-1-1-1-1-1-1-111-111-1111-11-1-1-1-11111-1-1-1-1111-1
χ172222222-2-22-222-2-2-2-22000000-2200000000000002-22-20000000000
χ182222222-2-22-222-2-2-2-22000000-220000000000000-22-220000000000
χ192222222-2-22-2-2-2-222-220000002-200000000000002-2-220000000000
χ202222222-2-22-2-2-2-222-220000002-20000000000000-222-20000000000
χ2122222-2-2222-200200-2-222-2-2220000-2002-200-220000000000000000
χ2222222-2-2222-200200-2-222-2-2220000-200-22002-20000000000000000
χ2322222-2-2222-200200-2-2-2-222-2-200002002200-2-20000000000000000
χ2422222-2-2222-200200-2-2-2-222-2-20000200-2-200220000000000000000
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
χ332222-2-2-222-2200-200-222222-2-20000-200002-2002-200000000000000
χ342222-2-2-222-2200-200-222222-2-20000-20000-2200-2200000000000000
χ352222-2-2-222-2200-200-22-2-2-2-2220000200002-200-2200000000000000
χ362222-2-2-222-2200-200-22-2-2-2-222000020000-22002-200000000000000
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
χ434-44-404-400000004i−4i000022−2222−22002i2−2i20000000000000000000000000
χ444-44-404-400000004i−4i0000−2222−222200−2i22i20000000000000000000000000
χ454-44-404-40000000−4i4i000022−2222−2200−2i22i20000000000000000000000000
χ464-44-404-40000000−4i4i0000−2222−2222002i2−2i20000000000000000000000000
χ474-44-40-4400004i−4i000000022−22−2222000002i2−2i20000000000000000000000
χ484-44-40-4400004i−4i0000000−222222−2200000−2i22i20000000000000000000000
χ494-44-40-440000−4i4i000000022−22−222200000−2i22i20000000000000000000000
χ504-44-40-440000−4i4i0000000−222222−22000002i2−2i20000000000000000000000
χ5188-8-80008-800000000000000000000000000000000000000000000
χ528-8-8880000-80000000000000000000000000000000000000000000
χ538-8-88-8000080000000000000000000000000000000000000000000

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