Finite Group Databasebeta

← Group #310940

Character table — Group #310940

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444422444444444488888888888822444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111
χ4111111111111111111111111-1-1-1-1-1-1111111111111-1-11-1-1-1-1-1-1-11111-1-1-1
χ511111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-11111-1-1-1-11111-1
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1111111-1-111-1
χ9111111111111111111-1-11111111111-1-11111-1-1-1-1-1-111-11-1-111-1-1-1-111-1-1-1
χ10111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1111111111-1-1-1-1-1
χ12111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111
χ13111111111111111111-1-1-1-1-1-1111111111111111111-1-1-11-1-1-1-111-1-1-1-111-1
χ14111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1111-1-1-1-1111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11
χ172222222222-2-22-2-22-2-22222-2-2000000220000-2-2000000-200000000000000
χ182222222222-2-22-2-22-2-222-2-222000000-2-2000022000000-200000000000000
χ192222222222-2-22-2-22-2-2-2-222-2-2000000-2-2000022000000200000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-222000000220000-2-2000000200000000000000
χ2122222222-2-222-222-2-2-200000022-2-2220022-2-2000000000-20000000000000
χ2222222222-2-222-222-2-2-200000022-2-2-2-200-2-22200000000020000000000000
χ2322222222-2-222-222-2-2-2000000-2-2222200-2-222000000000-20000000000000
χ2422222222-2-222-222-2-2-2000000-2-222-2-20022-2-200000000020000000000000
χ252-22-22-2-222-2222-2-2-2-22002i−2i2i−2i2i−2i2i−2i000000000000002-2000000000000000
χ262-22-22-2-222-2222-2-2-2-22002i−2i2i−2i−2i2i−2i2i00000000000000-22000000000000000
χ272-22-22-2-222-2222-2-2-2-2200−2i2i−2i2i2i−2i2i−2i00000000000000-22000000000000000
χ282-22-22-2-222-2222-2-2-2-2200−2i2i−2i2i−2i2i−2i2i000000000000002-2000000000000000
χ292-22-22-2-222-2-2-2222-22-2002i−2i−2i2i00000000000000000000002i−2i002-20000000
χ302-22-22-2-222-2-2-2222-22-2002i−2i−2i2i0000000000000000000000−2i2i00-220000000
χ312-22-22-2-222-2-2-2222-22-200−2i2i2i−2i00000000000000000000002i−2i00-220000000
χ322-22-22-2-222-2-2-2222-22-200−2i2i2i−2i0000000000000000000000−2i2i002-20000000
χ332-22-22-2-22-2222-2-2-222-20000002i−2i−2i2i000000000000000000002-200002i−2i000
χ342-22-22-2-22-2222-2-2-222-20000002i−2i−2i2i00000000000000000000-220000−2i2i000
χ352-22-22-2-22-2222-2-2-222-2000000−2i2i2i−2i000000000000000000002-20000−2i2i000
χ362-22-22-2-22-2222-2-2-222-2000000−2i2i2i−2i00000000000000000000-2200002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-44-400-400400000000000000000000000000000000000022−2200000
χ394444-4-4-4-44-400-4004000000000000000000000000000000000000−222200000
χ404444-4-4-4-4-4400400-4004-4000000000000000000000000000000000000000
χ414444-4-4-4-4-4400400-400-44000000000000000000000000000000000000000
χ4244-4-44-44-4004-404-4000000000000000000000002i22i2−2i2−2i200000000000000000
χ4344-4-44-44-4004-404-400000000000000000000000−2i2−2i22i22i200000000000000000
χ4444-4-44-44-400-440-44000000000000000004i−4i0000000000000000000000000
χ4544-4-44-44-400-440-4400000000000000000−4i4i0000000000000000000000000
χ464-44-44-4-44-44-4-4-4444-4400000000000000000000000000000000000000000
χ474-44-4-444-44400-400-400000000000000000000002i2−2i22i2−2i200000000000000000
χ484-44-4-444-44400-400-40000000000000000000000−2i22i2−2i22i200000000000000000
χ494-44-4-444-4-4-4004004000000000000000000004-4000000000000000000000
χ504-44-4-444-4-4-400400400000000000000000000-44000000000000000000000
χ514-4-4444-4-4004-40-44000000000000000000000000000000000000000002i2−2i20
χ524-4-4444-4-4004-40-4400000000000000000000000000000000000000000−2i22i20
χ534-4-4444-4-400-4404-400000000000004i−4i00000000000000000000000000000
χ544-4-4444-4-400-4404-40000000000000−4i4i00000000000000000000000000000
χ554-4-44-4-444000000000000000000000022−220022−22002-2-2200000000000000000
χ564-4-44-4-444000000000000000000000022−2200−222200-222-200000000000000000
χ574-4-44-4-4440000000000000000000000−22220022−2200-222-200000000000000000
χ584-4-44-4-4440000000000000000000000−222200−2222002-2-2200000000000000000
χ5988-8-8-88-88000000000000000000000000000000000000000000000000000

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