Finite Group Databasebeta

← Group #286644

Character table — Group #286644

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888824444448888888888244444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1
χ811111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ9111111111111111111-1-11111-1-111-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-11-1
χ10111111111111111111-1-11111-1-111-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-11
χ11111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1
χ12111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-11
χ13111111111111111111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1111-1
χ172222222222-2-2-22-22-2-2220000-2-2222-2-20000000000-220000000000000000
χ182222222222-2-2-22-22-2-2220000-2-2-2-222200000000002-20000000000000000
χ192222222222-2-2-22-22-2-2-2-200002222-2-2-200000000002-20000000000000000
χ202222222222-2-2-22-22-2-2-2-2000022-2-2-2220000000000-220000000000000000
χ2122222222-2-2222-22-2-2-2222222-2200-200-2-222-2-20000000000000000000000
χ2222222222-2-2222-22-2-2-222-2-2-2-2-2200-20022-2-2220000000000000000000000
χ2322222222-2-2222-22-2-2-2-2-222222-200200-2-2-2-2220000000000000000000000
χ2422222222-2-2222-22-2-2-2-2-2-2-2-2-22-2002002222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200002-200-2000000002i2i−2i−2i000000002i−2i00000000
χ2622222222-2-2-2-2-2-2-2-2222200002-200-200000000−2i−2i2i2i00000000−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-222-2-20000-22002000000002i2i−2i−2i00000000−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-222-2-20000-2200200000000−2i−2i2i2i000000002i−2i00000000
χ292-22-22-22-22-222-2-2-222-200000000000000000002i−2i2i−2i00002i−2i000000002-200
χ302-22-22-22-22-222-2-2-222-200000000000000000002i−2i2i−2i0000−2i2i00000000-2200
χ312-22-22-22-22-222-2-2-222-20000000000000000000−2i2i−2i2i00002i−2i00000000-2200
χ322-22-22-22-22-222-2-2-222-20000000000000000000−2i2i−2i2i0000−2i2i000000002-200
χ332-22-22-22-2-22-2-2222-22-200000000000000000002-2-22002i−2i000000002i−2i0000
χ342-22-22-22-2-22-2-2222-22-200000000000000000002-2-2200−2i2i00000000−2i2i0000
χ352-22-22-22-2-22-2-2222-22-20000000000000000000-222-2002i−2i00000000−2i2i0000
χ362-22-22-22-2-22-2-2222-22-20000000000000000000-222-200−2i2i000000002i−2i0000
χ37444-4-4-4-4444000-40-400002222−22−22000000022−2200000000000000000000000000
χ38444-4-4-4-4444000-40-40000−22−2222220000000−222200000000000000000000000000
χ39444-4-4-4-44-4-400040400002222−22−220000000−222200000000000000000000000000
χ40444-4-4-4-44-4-40004040000−22−222222000000022−2200000000000000000000000000
χ4144-4-444-4-4004-440-400000000000000000000000000000000000022−22000000
χ4244-4-444-4-4004-440-4000000000000000000000000000000000000−2222000000
χ4344-4-444-4-400-44-404000000000000000000000000000000002i2−2i20000000000
χ4444-4-444-4-400-44-40400000000000000000000000000000000−2i22i20000000000
χ454-444-44-4-44-400040-400000000004-40000000000000000000000000000000
χ464-444-44-4-44-400040-40000000000-440000000000000000000000000000000
χ474-444-44-4-4-44000-40400000000000004i−4i0000000000000000000000000000
χ484-444-44-4-4-44000-4040000000000000−4i4i0000000000000000000000000000
χ494-44-44-44-44-4-4-44-444-4400000000000000000000000000000000000000000
χ504-44-44-44-4-4444-44-4-4-4400000000000000000000000000000000000000000
χ514-4-444-4-44004-4-404000004-44-400000000000000000000000000000000000
χ524-4-444-4-44004-4-40400000-44-4400000000000000000000000000000000000
χ534-4-444-4-4400-4440-4000000000000000000004i−4i0000000000000000000000
χ544-4-444-4-4400-4440-400000000000000000000−4i4i0000000000000000000000
χ554-4-4-4-444400000000004-422−22−222200000000022−22000000000000000000000000
χ564-4-4-4-444400000000004-4−222222−22000000000−2222000000000000000000000000
χ574-4-4-4-44440000000000-4422−22−2222000000000−2222000000000000000000000000
χ584-4-4-4-44440000000000-44−222222−2200000000022−22000000000000000000000000
χ5988-88-8-88-8000000000000000000000000000000000000000000000000000

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