Finite Group Databasebeta

← Group #134022

Character table — Group #134022

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444444888888888888888888888816163232323232323232
order12222222222222444422222244444444444444442444448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ41111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii
χ8111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1−i−iiiii−i−i
χ911111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11-11-11-11-1
χ1011111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-11-11
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111i−i−iii−i−ii
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−iii−i−iii−i
χ1311111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-11-11-1-11-11
χ1411111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-11-111-11-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111i−i−ii−iii−i
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111−iii−ii−i−ii
χ172222222222-2-2-2-22222000022-2-2000000000000-2-2-2200000000
χ182222222222-2-2-2-222220000-2-2-2-2000000000000222-200000000
χ192222222222-2-2-2-2-2-2-2-200002222000000000000-2-22-200000000
χ202222222222-2-2-2-2-2-2-2-20000-2-22200000000000022-2200000000
χ212222-2-2-2-22222-2-2000000002-20022-2-2000022-2-22-20000000000
χ222222-2-2-2-22222-2-2000000002-200-2-2220000-2-2222-20000000000
χ232222-2-2-2-22222-2-200000000-220022-2-20000-2-222-220000000000
χ242222-2-2-2-22222-2-200000000-2200-2-222000022-2-2-220000000000
χ252222-2-2-2-222-2-222000022-2-22-200000022-2-20000-220000000000
χ262222-2-2-2-222-2-222000022-2-2-22000000-2-22200002-20000000000
χ272222-2-2-2-222-2-2220000-2-2222-2000000-2-2220000-220000000000
χ282222-2-2-2-222-2-2220000-2-222-2200000022-2-200002-20000000000
χ29444444-4-4-4-4000000000000004-4000000000000000000000000
χ30444444-4-4-4-400000000000000-44000000000000000000000000
χ314444-4-444-4-4000044-4-400000000000000000000000000000000
χ324444-4-444-4-40000-4-44400000000000000000000000000000000
χ3344-4-4004-4000000004i−4i2-22-200002i−2i2i−2i00000000000000000000
χ3444-4-4004-4000000004i−4i-22-220000−2i2i−2i2i00000000000000000000
χ3544-4-4004-400000000−4i4i2-22-20000−2i2i−2i2i00000000000000000000
χ3644-4-4004-400000000−4i4i-22-2200002i−2i2i−2i00000000000000000000
χ3744-4-400-440000004i−4i002-2-2200002i−2i−2i2i00000000000000000000
χ3844-4-400-440000004i−4i00-222-20000−2i2i2i−2i00000000000000000000
χ3944-4-400-44000000−4i4i002-2-220000−2i2i2i−2i00000000000000000000
χ4044-4-400-44000000−4i4i00-222-200002i−2i−2i2i00000000000000000000
χ414-4-4400004-4004-40000000000000000004-40000000000000000
χ424-4-4400004-4004-4000000000000000000-440000000000000000
χ434-4-4400004-400-4400000000000000004-4000000000000000000
χ444-4-4400004-400-440000000000000000-44000000000000000000
χ454-4-440000-444-40000000000000000000000004-4000000000000
χ464-4-440000-444-4000000000000000000000000-44000000000000
χ474-4-440000-44-4400000000000000000000004-400000000000000
χ484-4-440000-44-440000000000000000000000-4400000000000000
χ498-88-88-800000000000000000000000000000000000000000000
χ508-88-8-8800000000000000000000000000000000000000000000

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