Finite Group Databasebeta

← Group #247983

Character table — Group #247983

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444888888888888888888881616161616161616161616161616163232
order12222244444422224442244444444448888888844444444444888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-1111111111111-1-1-1-11-1-1-1-1-1-11111-1-1
χ4111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111
χ51111111111111111111-1-1111111-1-1-1-111111111-1-111-11111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1
χ9111111111111-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1111-11-1-11-1-1-111-1-11-1
χ10111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1111111-111-1-1-11-1-1-1-111-11
χ11111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-111111-1-1-11
χ12111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11111-111-1-1111-1
χ13111111111111-1-1-1-1111-1-111-1-11111111111-1-1-1-1-1-11-1-1-1-11-111-1-111-11
χ14111111111111-1-1-1-1111-1-111-1-1111111-1-1-1-11111-1-1-11-1-1-1-111111-1-11-1
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-111-11-111-11-1-1-1-1111-1
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1111-1-1-111-1-1-11
χ172222222222-2-22222-2-2-22200-2-20022-2-2000000000000-2000000000000
χ182222222222-2-22222-2-2-2-2-200-2-200-2-2220000000000002000000000000
χ192222222222-2-2-2-2-2-2-2-2-222002200-2-222000000000000-2000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-200220022-2-20000000000002000000000000
χ21222222-2-2-2-22222-2-22-2-200222-2-2-2000000000000000002-20000000000
χ22222222-2-2-2-22222-2-22-2-200-2-22-22200000000000000000-220000000000
χ23222222-2-2-2-222-2-2222-2-20022-22-2-200000000000000000-220000000000
χ24222222-2-2-2-222-2-2222-2-200-2-2-2222000000000000000002-20000000000
χ25222222-2-2-2-2-2-222-2-2-2220000-22000000000000002-200000002-2000000
χ26222222-2-2-2-2-2-222-2-2-2220000-2200000000000000-220000000-22000000
χ27222222-2-2-2-2-2-2-2-222-22200002-2000000000000002-20000000-22000000
χ28222222-2-2-2-2-2-2-2-222-22200002-200000000000000-2200000002-2000000
χ292222-2-22-22-2220000-22-2002-2002-20000000022-2-200020000-200000000
χ302222-2-22-22-2220000-22-2002-2002-200000000-2-222000-20000200000000
χ312222-2-22-22-2220000-22-200-2200-220000000022-2-2000-20000200000000
χ322222-2-22-22-2220000-22-200-2200-2200000000-2-22200020000-200000000
χ332222-2-2-22-22220000-2-22002-200-22000022-2-200000020000-2000000000
χ342222-2-2-22-22220000-2-22002-200-220000-2-222000000-200002000000000
χ352222-2-2-22-22220000-2-2200-22002-2000022-2-2000000-200002000000000
χ362222-2-2-22-22220000-2-2200-22002-20000-2-22200000020000-2000000000
χ3722-2-22-222-2-2002-22-20002-20000002-2002−22−22−22−2000000000002−22−200
χ3822-2-22-222-2-2002-22-20002-20000002-200−22−22−22−2200000000000−22−2200
χ3922-2-22-222-2-2002-22-2000-22000000-22002−22−22−22−200000000000−22−2200
χ4022-2-22-222-2-2002-22-2000-22000000-2200−22−22−22−22000000000002−22−200
χ4122-2-22-222-2-200-22-220002-2000000-22002−22−2−22−22000000000002−2−2200
χ4222-2-22-222-2-200-22-220002-2000000-2200−22−222−22−200000000000−222−200
χ4322-2-22-222-2-200-22-22000-220000002-2002−22−2−22−2200000000000−222−200
χ4422-2-22-222-2-200-22-22000-220000002-200−22−222−22−2000000000002−2−2200
χ454444-4-44-44-4-4-400004-440000000000000000000000000000000000000
χ464444-4-4-44-44-4-4000044-40000000000000000000000000000000000000
χ4744-4-44-4-4-444004-4-440000000000000000000000000000000000000000
χ4844-4-44-4-4-44400-444-40000000000000000000000000000000000000000
χ4944-4-4-444-4-44000000000000000000000000022−22−222200000000000000000
χ5044-4-4-444-4-440000000000000000000000000−222222−2200000000000000000
χ5144-4-4-44-444-400000000000000000000022−22−2222000000000000000000000
χ5244-4-4-44-444-4000000000000000000000−222222−22000000000000000000000
χ538-88-800000000000000000000000004i−4i0000000000000000000000000
χ548-88-80000000000000000000000000−4i4i0000000000000000000000000
χ558-8-880000008-800000000000000000000000000000000000000000000
χ568-8-88000000-8800000000000000000000000000000000000000000000

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