Finite Group Databasebeta

← Group #249749

Character table — Group #249749

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444448888888888888888161616161616161616161616161616163232
order12224444442224444488882244448888888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-11-111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-1-1111-1-11111111-1-11-1-1-1-1-1-11-111-1-11-1
χ41111111111111111111111-1-11-1-11-1-111111111-11-1-1-1-1-1-1-11-11-1-111-11
χ5111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1111-1-1-1111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-11-111-1-1111-11-1-1-111-11
χ8111111111111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-1-111-1-1-11111-1111-1-11-1
χ911111111111-1-1-1-1111111111-111-1111111-1-1-1-1-1-11-1-1-11-1-1-1111111-1-1
χ1011111111111-1-1-1-1111111111-111-1-1-1-1-111-1-1-1-11111-1-11-1-11-1-1-1-1-1-111
χ1111111111111-1-1-1-11111111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111-11111-111-1-1-11
χ1211111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-111-1-11-1-1111-1
χ1311111111111-1-1-1-1111-1-1-1-111-111-11111-1-11111-1-1-1-1-1-1-111-111-1-1-1-111
χ1411111111111-1-1-1-1111-1-1-1-111-111-1-1-1-1-1-1-1111111-11-1-1-1111-1-11111-1-1
χ1511111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1111-1-111-1-1-1111-1
χ1611111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111111-1-1-1-1111-1-1-11
χ172222222-2-22-20000-2-222222220-2-200000-2-20000002000-200000000000
χ182222222-2-22-20000-2-222222-2-202200000-2-2000000-2000200000000000
χ192222222-2-22-20000-2-22-2-2-2-2220-2-20000022000000-2000200000000000
χ202222222-2-22-20000-2-22-2-2-2-2-2-202200000220000002000-200000000000
χ2122222-2222-2-222-2-2-22-2000000200-200220000000-2000000020-2000000
χ2222222-2222-2-222-2-2-22-2000000200-200-2-2000000020000000-202000000
χ2322222-2222-2-2-2-222-22-2000000-20020022000000020000000-20-2000000
χ2422222-2222-2-2-2-222-22-2000000-200200-2-20000000-20000000202000000
χ252222-22-2222-222-2-22-2-2000000-20022200000000-2002000000-20000000
χ262222-22-2222-222-2-22-2-2000000-2002-2-200000000200-200000020000000
χ272222-22-2222-2-2-2222-2-2000000200-22200000000200-2000000-20000000
χ282222-22-2222-2-2-2222-2-2000000200-2-2-200000000-200200000020000000
χ292222-2-2-222-222222-2-2200002-2-22-2-2000000000000002-2000000000000
χ302222-2-2-222-222222-2-220000-22-2-22-200000000000000-22000000000000
χ312222-2-2-222-22-2-2-2-2-2-2200002-222-2200000000000000-22000000000000
χ322222-2-2-222-22-2-2-2-2-2-220000-222-222000000000000002-2000000000000
χ332222-2-2-2-2-2-2-2000022200002-20-22000000022-2-200000002-2000000000
χ342222-2-2-2-2-2-2-2000022200002-20-220000000-2-2220000000-22000000000
χ352222-2-2-2-2-2-2-200002220000-2202-2000000022-2-20000000-22000000000
χ362222-2-2-2-2-2-2-200002220000-2202-20000000-2-22200000002-2000000000
χ3744444-44-4-4-4400004-4-400000000000000000000000000000000000000
χ384444-44-4-4-4440000-44-400000000000000000000000000000000000000
χ3944-4-4-404000000000002222−22−22000000002i2−2i2000000000000000000002i−2i00
χ4044-4-4-404000000000002222−22−2200000000−2i22i200000000000000000000−2i2i00
χ4144-4-4-40400000000000−22−222222000000002i2−2i200000000000000000000−2i2i00
χ4244-4-4-40400000000000−22−22222200000000−2i22i2000000000000000000002i−2i00
χ434-44-40004-400004-40002i−2i2i−2i00000000002i−2i2i−2i2i−2i000000000000000000
χ444-44-40004-400004-4000−2i2i−2i2i0000000000−2i2i−2i2i−2i2i000000000000000000
χ454-44-40004-40000-440002i−2i2i−2i00000000002i−2i−2i2i−2i2i000000000000000000
χ464-44-40004-40000-44000−2i2i−2i2i0000000000−2i2i2i−2i2i−2i000000000000000000
χ474-44-4000-44004-4000002i−2i2i−2i0000000000−2i2i2i−2i−2i2i000000000000000000
χ484-44-4000-44004-400000−2i2i−2i2i00000000002i−2i−2i2i2i−2i000000000000000000
χ494-44-4000-4400-44000002i−2i2i−2i0000000000−2i2i−2i2i2i−2i000000000000000000
χ504-44-4000-4400-4400000−2i2i−2i2i00000000002i−2i2i−2i−2i2i000000000000000000
χ514-4-4404000-4000000002i2−2i2−2i22i20000002i2−2i2000000000000000000002-20000
χ524-4-4404000-4000000002i2−2i2−2i22i2000000−2i22i200000000000000000000-220000
χ534-4-4404000-400000000−2i22i22i2−2i20000002i2−2i200000000000000000000-220000
χ544-4-4404000-400000000−2i22i22i2−2i2000000−2i22i2000000000000000000002-20000
χ5588-8-880-80000000000000000000000000000000000000000000000000
χ568-8-880-800080000000000000000000000000000000000000000000000

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