Finite Group Databasebeta

← Group #266322

Character table — Group #266322

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444224444444448888888844444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11111-1-111111111-11-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-11111-1-1111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-11111-1-1111-1-1-1-1-1-1-1-11-111111-1-1-1-1-11111-1-1-1-1
χ711111111111111111111-1-11-1-11-1-11-1-111111111-1-1-11111-11111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-11-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ911111111111111111-1-1111-111-111-1-1-11111-1-1-1-11-1-111-1-1-111-1-111-1-111-1-1
χ1011111111111111111-1-1111-111-111-1-1-1-1-1-1-111111-1-1-1-111-111-1-1-1-111-1-111
χ1111111111111111111-1-1111-1-1-1-111-1111111-1-1-1-1-1-11-1-111-1-1-11111-1-1-1-111
χ1211111111111111111-1-1111-1-1-1-111-111-1-1-1-11111-1-1111-1-1-1-1-111-1-11111-1-1
χ1311111111111111111-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-11111-1-1
χ1411111111111111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1111111-111-1-11-1-11111-1-1-1-111
χ1511111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1111-1-1-1-111-1-111
χ1611111111111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111111-1-111-1-111-1-1
χ172222222222-2-222-2-2-222-222200-2-2-2-200000000000-2000002000000000000
χ182222222222-2-222-2-2-222-2-2-2200-222-200000000000200000-2000000000000
χ192222222222-2-222-2-2-2-2-2-222-2002-2-2200000000000200000-2000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-200222200000000000-2000002000000000000
χ2122222222-2-222-2-222-222-200-222200-2-2-200000000-20200000000000000000
χ2222222222-2-222-2-222-222-200-2-2-2200-2220000000020-200000000000000000
χ2322222222-2-222-2-222-2-2-2-200222-20022200000000-20-200000000000000000
χ2422222222-2-222-2-222-2-2-2-2002-2-2-2002-2-20000000020200000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200-200-20020000000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-2222200-200-2002000000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-22-2-2200200200-20000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-22-2-2200200200-2000000000000000000-222-200000000
χ29222-2-22-2-22-2222-2-2-2200-22-200002-200000000000000002-2000000000002-2
χ30222-2-22-2-22-2222-2-2-2200-22-200002-20000000000000000-2200000000000-22
χ31222-2-22-2-22-2222-2-2-2200-2-220000-2200000000000000002-200000000000-22
χ32222-2-22-2-22-2222-2-2-2200-2-220000-220000000000000000-22000000000002-2
χ33222-2-22-2-22-2-2-22-222-20022-20000-22000000000000002i−2i000000000002i−2i00
χ34222-2-22-2-22-2-2-22-222-20022-20000-2200000000000000−2i2i00000000000−2i2i00
χ35222-2-22-2-22-2-2-22-222-2002-2200002-2000000000000002i−2i00000000000−2i2i00
χ36222-2-22-2-22-2-2-22-222-2002-2200002-200000000000000−2i2i000000000002i−2i00
χ37444-4-44-4-4-4444-44-4-4-4004000000000000000000000000000000000000000
χ38444-4-44-4-4-44-4-4-4444400-4000000000000000000000000000000000000000
χ3944-444-4-4-44-400-44000000000000000002222−22−22000000000000000000000000
χ4044-444-4-4-44-400-4400000000000000000−22−222222000000000000000000000000
χ4144-444-4-4-4-44004-40000000000000000000002222−22−2200000000000000000000
χ4244-444-4-4-4-44004-4000000000000000000000−22−22222200000000000000000000
χ4344-4-4-4-4444400-4-400000000000000000000000000000000000002i2−2i2000000
χ4444-4-4-4-4444400-4-40000000000000000000000000000000000000−2i22i2000000
χ4544-4-4-4-444-4-4004400000000000000000000000000000000000000022−220000
χ4644-4-4-4-444-4-40044000000000000000000000000000000000000000−22220000
χ474-444-4-4-440000000004-40000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ484-444-4-4-440000000004-4000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ494-444-4-4-44000000000-440000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ504-444-4-4-44000000000-44000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ514-4-44-444-4004-4004-400000000000000000002i2−2i2−2i22i200000000000000000000
χ524-4-44-444-4004-4004-40000000000000000000−2i22i22i2−2i200000000000000000000
χ534-4-44-444-400-4400-440000000000000002i2−2i2−2i22i2000000000000000000000000
χ544-4-44-444-400-4400-44000000000000000−2i22i22i2−2i2000000000000000000000000
χ554-4-4-444-44004-400-4400000004-40000000000000000000000000000000000
χ564-4-4-444-44004-400-440000000-440000000000000000000000000000000000
χ574-4-4-444-4400-44004-400000000000004-40000000000000000000000000000
χ584-4-4-444-4400-44004-40000000000000-440000000000000000000000000000
χ598-88-88-88-8000000000000000000000000000000000000000000000000000

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