Finite Group Databasebeta

← Group #299391

Character table — Group #299391

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222224444444444888888888888888816161616161616161616161632323232
order12222244444444224444888844888888888888882444444488884488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1
χ611111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-11-11
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-11-11
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1
χ911111111111111-1-1-1-1111111-1-111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111
χ1011111111111111-1-1-1-1111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1
χ1111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1
χ1211111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-111-1
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111-1-11
χ1511111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-11-1-11
χ1611111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-111-1
χ172222222-2-2-2-22222222-2-222-2-2-2-22-222-2-2000000000000000000000000
χ182222222-2-2-2-22222222-2-2-2-222-2-2-22-2-222000000000000000000000000
χ192222222-2-2-2-2222-2-2-2-2-2-222-2-2222-2-2-222000000000000000000000000
χ202222222-2-2-2-2222-2-2-2-2-2-2-2-22222-2222-2-2000000000000000000000000
χ212222-2-2222-2-2-2-2222-2-2-2200002-200000022-2-20000000000002-2000000
χ222222-2-2222-2-2-2-2222-2-2-2200002-2000000-2-222000000000000-22000000
χ232222-2-2222-2-2-2-22-2-222-220000-2200000022-2-2000000000000-22000000
χ242222-2-2222-2-2-2-22-2-222-220000-22000000-2-2220000000000002-2000000
χ252222-2-22-2-222-2-2222-2-22-20000-22000000000022-2-200000000002-20000
χ262222-2-22-2-222-2-2222-2-22-20000-220000000000-2-2220000000000-220000
χ272222-2-22-2-222-2-22-2-2222-200002-2000000000022-2-20000000000-220000
χ282222-2-22-2-222-2-22-2-2222-200002-20000000000-2-22200000000002-20000
χ292222-2-2-2222222-20000-2-2222200-2-20000000000002-2002-20000000000
χ302222-2-2-2222222-20000-2-2222200-2-2000000000000-2200-220000000000
χ312222-2-2-2222222-20000-2-2-2-2-2-200220000000000002-200-220000000000
χ322222-2-2-2222222-20000-2-2-2-2-2-20022000000000000-22002-20000000000
χ332222-2-2-2-2-2-2-222-200002222-2-200-22000000000000002-2002-200000000
χ342222-2-2-2-2-2-2-222-200002222-2-200-2200000000000000-2200-2200000000
χ352222-2-2-2-2-2-2-222-2000022-2-222002-2000000000000002-200-2200000000
χ362222-2-2-2-2-2-2-222-2000022-2-222002-200000000000000-22002-200000000
χ37444444-444-4-4-4-4-400004-4000000000000000000000000000000000000
χ38444444-4-4-444-4-4-40000-44000000000000000000000000000000000000
χ3944-4-44-4400004-4-44-44-400000000000000000000000000000000000000
χ4044-4-44-4400004-4-4-44-4400000000000000000000000000000000000000
χ4144-4-44-4-40000-444000000000000004i−4i00000000000000000000000000
χ4244-4-44-4-40000-44400000000000000−4i4i00000000000000000000000000
χ4344-4-4-4440000-44-44-4-4400000000000000000000000000000000000000
χ4444-4-4-4440000-44-4-444-400000000000000000000000000000000000000
χ4544-4-4-44-400004-4400000000000000004i−4i000000000000000000000000
χ4644-4-4-44-400004-440000000000000000−4i4i000000000000000000000000
χ474-4-44000004-40000000002i2−2i22i2−2i2000000002-22-2002i2−2i20000000000000000
χ484-4-44000004-40000000002i2−2i22i2−2i200000000-22-2200−2i22i20000000000000000
χ494-4-44000004-4000000000−2i22i2−2i22i2000000002-22-200−2i22i20000000000000000
χ504-4-44000004-4000000000−2i22i2−2i22i200000000-22-22002i2−2i20000000000000000
χ514-4-4400000-440000000002i2−2i2−2i22i2000000002-2-222i2−2i2000000000000000000
χ524-4-4400000-440000000002i2−2i2−2i22i200000000-222-2−2i22i2000000000000000000
χ534-4-4400000-44000000000−2i22i22i2−2i2000000002-2-22−2i22i2000000000000000000
χ544-4-4400000-44000000000−2i22i22i2−2i200000000-222-22i2−2i2000000000000000000
χ558-88-80008-800000000000000000000000000000000000000000000000
χ568-88-8000-8800000000000000000000000000000000000000000000000

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