Finite Group Databasebeta

← Group #263868

Character table — Group #263868

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222244444444444444888888816161616161616161616161616161616161616163232
order12224444442444444488888824888882224444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1-1-111-1-1-1-1-11-1111-111-1-111-1-1-1-111-1-11-1
χ6111111111111111111-1-1-1-1-1-111-1-1-1-1-11-1-1-11-111-1-1-1-11111-1-111-11
χ7111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-11-1-11111-1-1-1-1-1-111-11
χ8111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11-1-111-1-1111111-1-11-1
χ911111111111-1-11-1-111111111-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111
χ1011111111111-1-11-1-111111111-1-11-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1
χ1111111111111-1-11-1-111111111-1-11-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1
χ1211111111111-1-11-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1311111111111-1-11-1-111-1-1-1-1-1-1-1-1-111111-1111-1-1-111-1-1-1-111-1-1111-1
χ1411111111111-1-11-1-111-1-1-1-1-1-1-1-1-111111-1-1-11-1-1-1111111-1-111-1-1-11
χ1511111111111-1-11-1-111-1-1-1-1-1-1-1-1-11111-1111-1111-1-1-1-1-1-11111-1-1-11
χ1611111111111-1-11-1-111-1-1-1-1-1-1-1-1-11111-11-1-1-1111-1-11111-1-1-1-1111-1
χ172222222-2-22-222-2-2-22-22222-2-22-2-222-2-20000000000000000000000
χ182222222-2-22-222-2-2-22-2-2-2-2-2222-22-2-2220000000000000000000000
χ192222222-2-22-2-2-2-2222-22222-2-2-22-2-2-2220000000000000000000000
χ202222222-2-22-2-2-2-2222-2-2-2-2-222-22222-2-20000000000000000000000
χ21222222-222-2-222-2-2-2-22000000-2200000002-20000002-20000000000
χ22222222-222-2-222-2-2-2-22000000-220000000-22000000-220000000000
χ23222222-222-2-2-2-2-222-220000002-200000002-2000000-220000000000
χ24222222-222-2-2-2-2-222-220000002-20000000-220000002-20000000000
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
χ292222-2-22222-200200-2-222-2-22200-200002200-2-20000000000000000
χ302222-2-22222-200200-2-222-2-22200-20000-2-200220000000000000000
χ312222-2-22222-200200-2-2-2-222-2-200200002-200-220000000000000000
χ322222-2-22222-200200-2-2-2-222-2-20020000-22002-20000000000000000
χ332222-2-22-2-22200-200-2222-2-2-2-200200000000002-22-2000000000000
χ342222-2-22-2-22200-200-2222-2-2-2-20020000000000-22-22000000000000
χ352222-2-22-2-22200-200-22-2-2222200-200000000002-2-22000000000000
χ362222-2-22-2-22200-200-22-2-2222200-20000000000-222-2000000000000
χ374444-4-4-444-4400-4004-400000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4004004400000000000000000000000000000000000
χ3944-4-400-40040000000000004-4000000000000000000000002i−2i2i−2i00
χ4044-4-400-40040000000000004-400000000000000000000000−2i2i−2i2i00
χ4144-4-400-4004000000000000-44000000000000000000000002i−2i−2i2i00
χ4244-4-400-4004000000000000-4400000000000000000000000−2i2i2i−2i00
χ434-44-44-4000000004i−4i0022−2222−2200000002i2−2i20000000000000000000000
χ444-44-44-4000000004i−4i00−2222−22220000000−2i22i20000000000000000000000
χ454-44-44-400000000−4i4i0022−2222−220000000−2i22i20000000000000000000000
χ464-44-44-400000000−4i4i00−2222−222200000002i2−2i20000000000000000000000
χ474-44-4-44000004i−4i0000022−22−2222000002i2−2i2000000000000000000000000
χ484-44-4-44000004i−4i00000−222222−2200000−2i22i2000000000000000000000000
χ494-44-4-4400000−4i4i0000022−22−222200000−2i22i2000000000000000000000000
χ504-44-4-4400000−4i4i00000−222222−22000002i2−2i2000000000000000000000000
χ5188-8-800800-80000000000000000000000000000000000000000000
χ528-8-880008-800000000000000000000000000000000000000000000
χ538-8-88000-8800000000000000000000000000000000000000000000

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