Finite Group Databasebeta

← Group #305481

Character table — Group #305481

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444444444444444488888888888844444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-111-1-1-1-11111-1
χ511111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ611111111111111111111-1-1-1-111-1-111111111111111-1-1-1-11-1-1-1-1-111-1-111-1
χ711111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-111111111-1-1-1
χ9111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1111-1-1-1-1-1-111-1
χ10111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11
χ11111111111111111111-1-11111-1-111-1-1111111111111-1-1-1-1-11-1-111-1-111-1-1-1
χ12111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-11111111-1-1-1-1-1
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111111
χ15111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-1-1-1111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11
χ172222222222-2-222-2-2-2-20022-2-2002200000022-2-2000000000-200000000000
χ182222222222-2-222-2-2-2-20022-2-200-2-2000000-2-222000000000200000000000
χ192222222222-2-222-2-2-2-200-2-2220022000000-2-222000000000-200000000000
χ202222222222-2-222-2-2-2-200-2-22200-2-200000022-2-2000000000200000000000
χ2122222222-2-222-2-222-2-22200002200-2-222-2-2000000000000-2000000000000
χ2222222222-2-222-2-222-2-2220000-2-20022-2-222000000000000-2000000000000
χ2322222222-2-222-2-222-2-2-2-200002200-2-2-2-2220000000000002000000000000
χ2422222222-2-222-2-222-2-2-2-20000-2-2002222-2-20000000000002000000000000
χ252-2-222-22-22222-2-2-2-22-2002-22-22-2002-2000000000000002-20000000000000
χ262-2-222-22-22222-2-2-2-22-2002-22-2-2200-2200000000000000-220000000000000
χ272-2-222-22-22222-2-2-2-22-200-22-222-2002-200000000000000-220000000000000
χ282-2-222-22-22222-2-2-2-22-200-22-22-2200-22000000000000002-20000000000000
χ292-2-222-22-222-2-2-2-222-22002-2-220000000000000000000000002i−2i0000002i−2i0
χ302-2-222-22-222-2-2-2-222-22002-2-22000000000000000000000000−2i2i000000−2i2i0
χ312-2-222-22-222-2-2-2-222-2200-222-20000000000000000000000002i−2i000000−2i2i0
χ322-2-222-22-222-2-2-2-222-2200-222-2000000000000000000000000−2i2i0000002i−2i0
χ332-2-222-22-2-2-22222-2-2-220000002-200-220000000000002i−2i0000002i−2i0000000
χ342-2-222-22-2-2-22222-2-2-220000002-200-22000000000000−2i2i000000−2i2i0000000
χ352-2-222-22-2-2-22222-2-2-22000000-22002-20000000000002i−2i000000−2i2i0000000
χ362-2-222-22-2-2-22222-2-2-22000000-22002-2000000000000−2i2i0000002i−2i0000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-4004-4004-400000000000000000000000000000000000022−2200000
χ39444-4-4-44-4004-4004-4000000000000000000000000000000000000−222200000
χ40444-4-4-44-400-4400-44004-4000000000000000000000000000000000000000
χ41444-4-4-44-400-4400-4400-44000000000000000000000000000000000000000
χ4244-44-44-4-44-4004-4000000000000000000000000000000000000000022−22000
χ4344-44-44-4-44-4004-40000000000000000000000000000000000000000−2222000
χ4444-44-44-4-4-4400-440000000000004-40000000000000000000000000000000
χ4544-44-44-4-4-4400-44000000000000-440000000000000000000000000000000
χ4644-4-44-4-4400000000000000000000000022−22002i2−2i22i2i−2i−2i00000000000000000
χ4744-4-44-4-4400000000000000000000000022−2200−2i22i2−2i−2i2i2i00000000000000000
χ4844-4-44-4-44000000000000000000000000−2222002i2−2i2−2i−2i2i2i00000000000000000
χ4944-4-44-4-44000000000000000000000000−222200−2i22i22i2i−2i−2i00000000000000000
χ504-444-4-4-444-400-440000000000000000000000002i2−2i22i2−2i200000000000000000
χ514-444-4-4-444-400-44000000000000000000000000−2i22i2−2i22i200000000000000000
χ524-444-4-4-44-44004-4000000000000000000004i−4i00000000000000000000000
χ534-444-4-4-44-44004-400000000000000000000−4i4i00000000000000000000000
χ544-4-444-44-4-4-4-4-444444-400000000000000000000000000000000000000000
χ554-4-4-4-4444004-400-44000000000000000000000022−22−222200000000000000000
χ564-4-4-4-4444004-400-440000000000000000000000−222222−2200000000000000000
χ574-4-4-4-444400-44004-4000000000000004-4000000000000000000000000000
χ584-4-4-4-444400-44004-400000000000000-44000000000000000000000000000
χ598-88-888-8-8000000000000000000000000000000000000000000000000000

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