Finite Group Databasebeta

← Group #280707

Character table — Group #280707

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444422444444444488888888888822444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111111-1-1-1-11111-1-1-1-111-1111-1-1-1-1-1-1-1-111-1
χ41111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11
χ511111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-1111111111111-1-11-1-1-1-1-1-1-1-1-11111-1
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-11-1-11111-1-111-1-1-1
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111
χ9111111111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-11
χ10111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-111-1-111-1-111-1
χ11111111111111111111-1-111-1-1-1-11111111111111111-1-1-11-1-1-1-11111-1-1-1-1-1
χ12111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111
χ13111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111
χ14111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1111111-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11
χ17222222222-2-22-2-222-2-20022000022-2-2000022-2-20000000-20000000000000
χ18222222222-2-22-2-222-2-200220000-2-2-2-20000-2-222000000020000000000000
χ19222222222-2-22-2-222-2-200-2-2000022220000-2-2220000000-20000000000000
χ20222222222-2-22-2-222-2-200-2-20000-2-222000022-2-2000000020000000000000
χ2122222222-222-222-2-2-2-2220022-2-2000022-2-20000000000-200000000000000
χ2222222222-222-222-2-2-2-22200-2-2-2-20000-2-2220000000000200000000000000
χ2322222222-222-222-2-2-2-2-2-20022220000-2-2220000000000-200000000000000
χ2422222222-222-222-2-2-2-2-2-200-2-222000022-2-20000000000200000000000000
χ252-2-2-2222-2222-2-2-22-2-222-22i−2i002-2002i−2i00000000000000002i−2i00000000000
χ262-2-2-2222-2222-2-2-22-2-222-2−2i2i002-200−2i2i0000000000000000−2i2i00000000000
χ272-2-2-2222-2222-2-2-22-2-22-222i−2i00-22002i−2i0000000000000000−2i2i00000000000
χ282-2-2-2222-2222-2-2-22-2-22-22−2i2i00-2200−2i2i00000000000000002i−2i00000000000
χ292-2-2-2222-22-2-2-2222-22-2002i−2i000000−2i2i0000000000002-20000000000002i−2i0
χ302-2-2-2222-22-2-2-2222-22-2002i−2i000000−2i2i000000000000-22000000000000−2i2i0
χ312-2-2-2222-22-2-2-2222-22-200−2i2i0000002i−2i0000000000002-2000000000000−2i2i0
χ322-2-2-2222-22-2-2-2222-22-200−2i2i0000002i−2i000000000000-220000000000002i−2i0
χ332-2-2-2222-2-2222-2-2-222-22-20000-2200000000000000000000002i−2i2i−2i0000000
χ342-2-2-2222-2-2222-2-2-222-22-20000-220000000000000000000000−2i2i−2i2i0000000
χ352-2-2-2222-2-2222-2-2-222-2-2200002-200000000000000000000002i−2i−2i2i0000000
χ362-2-2-2222-2-2222-2-2-222-2-2200002-20000000000000000000000−2i2i2i−2i0000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-404-404-4000000000000000000000000000000000000000022−22000
χ39444-44-4-4-404-404-40000000000000000000000000000000000000000−2222000
χ40444-44-4-4-40-440-44000000004-400000000000000000000000000000000000
χ41444-44-4-4-40-440-4400000000-4400000000000000000000000000000000000
χ4244-44-44-4-4400400-4-400000000004-40000000000000000000000000000000
χ4344-44-44-4-4400400-4-40000000000-440000000000000000000000000000000
χ4444-44-44-4-4-400-400440000000000000000000000000000000000002i2−2i200000
χ4544-44-44-4-4-400-40044000000000000000000000000000000000000−2i22i200000
χ4644-4-4-4-44400000000000000000000000022−2222−220022-2-200000000000000000
χ4744-4-4-4-44400000000000000000000000022−22−222200-2-22200000000000000000
χ4844-4-4-4-444000000000000000000000000−222222−2200-2-22200000000000000000
χ4944-4-4-4-444000000000000000000000000−2222−22220022-2-200000000000000000
χ504-44-4-44-44400-400-44000000000000000000004-4000000000000000000000
χ514-44-4-44-44400-400-4400000000000000000000-44000000000000000000000
χ524-44-4-44-44-4004004-4000000000000000000000022−2222−2200000000000000000
χ534-44-4-44-44-4004004-40000000000000000000000−2222−222200000000000000000
χ544-4-444-4-4404-40-4400000000000000000000000022−22−222200000000000000000
χ554-4-444-4-4404-40-44000000000000000000000000−222222−2200000000000000000
χ564-4-444-4-440-4404-400000000000000004-4000000000000000000000000000
χ574-4-444-4-440-4404-40000000000000000-44000000000000000000000000000
χ584-4-4-4444-4-4-4-4444-44-4400000000000000000000000000000000000000000
χ598-888-8-88-8000000000000000000000000000000000000000000000000000

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