Finite Group Databasebeta

← Group #305483

Character table — Group #305483

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444422444444444488888888888844444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1
χ31111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11
χ41111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-11-1-1-1-1-1-1-11111-1
χ511111111111111111111-1-11111111111-1-1-1-111-1-1-1-111-1-1-1111-1-1-1-111-1-1-1
χ611111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-111-1
χ811111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-11
χ9111111111111111111-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ10111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-1
χ11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11-1111111-1-111-1
χ13111111111111111111-1-1-1-11111-1-111111111111111-1-1-1-1-11-1-11111-1-1-1-1-1
χ14111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-111111
χ15111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1111-1-1111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11
χ172222222222-2-2-222-2-2-222220000-2-2000022-2-20000000000-2000000000000
χ182222222222-2-2-222-2-2-222-2-20000-2-20000-2-22200000000002000000000000
χ192222222222-2-2-222-2-2-2-2-2220000220000-2-2220000000000-2000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2000022000022-2-200000000002000000000000
χ2122222222-2-2222-2-22-2-20000222200-2-2220000-2-2000000000-200000000000
χ2222222222-2-2222-2-22-2-2000022-2-200-2-2-2-2000022000000000200000000000
χ2322222222-2-2222-2-22-2-20000-2-2220022-2-2000022000000000-200000000000
χ2422222222-2-2222-2-22-2-20000-2-2-2-20022220000-2-2000000000200000000000
χ2522-22-2-2-222222-2-2-2-22-22-2002-2002-22-20000000000000000002-2000000000
χ2622-22-2-2-222222-2-2-2-22-22-200-22002-2-22000000000000000000-22000000000
χ2722-22-2-2-222222-2-2-2-22-2-22002-200-222-2000000000000000000-22000000000
χ2822-22-2-2-222222-2-2-2-22-2-2200-2200-22-220000000000000000002-2000000000
χ2922-22-2-2-2222-2-22-2-22-222-2000000-2200000000000000002i−2i00002i−2i0000000
χ3022-22-2-2-2222-2-22-2-22-222-2000000-220000000000000000−2i2i0000−2i2i0000000
χ3122-22-2-2-2222-2-22-2-22-22-220000002-200000000000000002i−2i0000−2i2i0000000
χ3222-22-2-2-2222-2-22-2-22-22-220000002-20000000000000000−2i2i00002i−2i0000000
χ3322-22-2-2-22-2-222-222-2-2200002-20000-220000000000002i−2i00000000002i−2i000
χ3422-22-2-2-22-2-222-222-2-2200002-20000-22000000000000−2i2i0000000000−2i2i000
χ3522-22-2-2-22-2-222-222-2-220000-2200002-20000000000002i−2i0000000000−2i2i000
χ3622-22-2-2-22-2-222-222-2-220000-2200002-2000000000000−2i2i00000000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-44-40004-40000000000000000000000000000000000000000022−220
χ39444-44-4-4-44-40004-400000000000000000000000000000000000000000−22220
χ40444-44-4-4-4-44000-44000004-40000000000000000000000000000000000000
χ41444-44-4-4-4-44000-4400000-440000000000000000000000000000000000000
χ4244-44-4-4-44-4-4-4-444444-400000000000000000000000000000000000000000
χ4344-4-4-444-44-4000-44000000000000000000000002i22i2−2i2−2i200000000000000000
χ4444-4-4-444-44-4000-4400000000000000000000000−2i2−2i22i22i200000000000000000
χ4544-4-4-444-4-440004-4000000000000000004i−4i0000000000000000000000000
χ4644-4-4-444-4-440004-400000000000000000−4i4i0000000000000000000000000
χ474-44-4-4-444004-4400-4000000000000000000004i−4i000000000000000000000
χ484-44-4-4-444004-4400-400000000000000000000−4i4i000000000000000000000
χ494-44-4-4-44400-44-4004000000000000000000000022−2222−2200000000000000000
χ504-44-4-4-44400-44-40040000000000000000000000−2222−222200000000000000000
χ514-4-444-44-400000000000000000000002i2−2i20022−22002i−2i−2i2i00000000000000000
χ524-4-444-44-400000000000000000000002i2−2i200−222200−2i2i2i−2i00000000000000000
χ534-4-444-44-40000000000000000000000−2i22i20022−2200−2i2i2i−2i00000000000000000
χ544-4-444-44-40000000000000000000000−2i22i200−2222002i−2i−2i2i00000000000000000
χ554-4-4-444-44004-4-4004000000004-4000000000000000000000000000000000
χ564-4-4-444-44004-4-400400000000-44000000000000000000000000000000000
χ574-4-4-444-4400-44400-40000000000000000000000000000000000002i2−2i200000
χ584-4-4-444-4400-44400-4000000000000000000000000000000000000−2i22i200000
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

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