Finite Group Databasebeta

← Group #274000

Character table — Group #274000

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244488888888888888888888161616161616161616161616161616163232
order12222244444444422222444448888888888244448888888888848
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-111-1-1-1-1-111-1-1-1-111-1-111-1-11-1-11-1-1111-1
χ41111111111111111111-1-1-111-1-1-1-1-1-1-1111111-1-11-1-1-1-111-111-1-1-11
χ511111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-111-11-1-1111111-1-1-1-1
χ611111111111111111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111-1-1-1-1-111-11111111111-1-1-1-1-11111-1-11-1-1-1-1-11
χ811111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-111111-1
χ9111111111111111-1-111111-1-1111-1-111-1-1-1-1-11-1-1-1-11-1-1-1-1111-1-111
χ10111111111111111-1-111111-1-1111-1-1-1-11111-11-1-1-111-1111-1-1-111-1-1
χ11111111111111111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-11-1111-1-1-1-11-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-11-111-1-1-11111-11
χ13111111111111111-1-1-1-1111-1-11-1-1111111111-1-1-11-1-11-1-1-111111-1-1
χ14111111111111111-1-1-1-1111-1-11-1-111-1-1-1-1-1-11-1-1-111-11111-1-1-1-1-111
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1111-11-1-1111-1-111-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111111-11-1-1-111-1-11-1
χ172222222-2-2222-2-2-200222-2-2002-2-2000000000-20000200000000000
χ182222222-2-2222-2-2-20022-22200-222000000000-20000-200000000000
χ192222222-2-2222-2-2-200-2-22-2-20022200000000020000-200000000000
χ202222222-2-2222-2-2-200-2-2-22200-2-2-200000000020000200000000000
χ21222222-2-2-2-2-2-222-22-2000002-2000000000000000000002i−2i02i−2i0000
χ22222222-2-2-2-2-2-222-22-2000002-200000000000000000000−2i2i0−2i2i0000
χ23222222-2-2-2-2-2-222-2-2200000-22000000000000000000002i−2i0−2i2i0000
χ24222222-2-2-2-2-2-222-2-2200000-2200000000000000000000−2i2i02i−2i0000
χ252222-2-2222-2-22-22-22200000-2-20000022000000000-200200-2000000
χ262222-2-2222-2-22-22-22200000-2-200000-2-2000000000200-2002000000
χ272222-2-2222-2-22-22-2-2-200000220000022000000000200-200-2000000
χ282222-2-2222-2-22-22-2-2-2000002200000-2-2000000000-2002002000000
χ292222-2-2-22222-22-2-200002-2200-200220000002000-200-20000000000
χ302222-2-2-22222-22-2-200002-2200-200-2-2000000-200020020000000000
χ312222-2-2-22222-22-2-20000-22-20020022000000-2000200-20000000000
χ322222-2-2-22222-22-2-20000-22-200200-2-20000002000-20020000000000
χ332222-2-2-2-2-222-2-2222-20022-2-22-20000000000002-200000000000000
χ342222-2-2-2-2-222-2-2222-200-2-22-222000000000000-2200000000000000
χ352222-2-2-2-2-222-2-222-220022-22-2-2000000000000-2200000000000000
χ362222-2-2-2-2-222-2-222-2200-2-222-220000000000002-200000000000000
χ37444444-444-4-4-4-4-4400000000000000000000000000000000000000
χ384444-4-44-4-4-4-444-4400000000000000000000000000000000000000
χ394-44-40004-400000000000000000022−222i2−2i22i2i−2i−2i000000000000000000
χ404-44-40004-400000000000000000022−22−2i22i2−2i−2i2i2i000000000000000000
χ414-44-40004-4000000000000000000−22222i2−2i2−2i−2i2i2i000000000000000000
χ424-44-40004-4000000000000000000−2222−2i22i22i2i−2i−2i000000000000000000
χ434-4-444-44004-4-400000000000000000002i2−2i22i2−2i2000000000000000000
χ444-4-444-44004-4-40000000000000000000−2i22i2−2i22i2000000000000000000
χ454-4-444-4-400-444000004-40000000000000000000000000000000000
χ464-4-444-4-400-44400000-440000000000000000000000000000000000
χ474-4-44-44400-44-400000000000004i−4i00000000000000000000000000
χ484-4-44-44400-44-40000000000000−4i4i00000000000000000000000000
χ494-4-44-44-4004-44000000000000000000000000000000000000022−2200
χ504-4-44-44-4004-440000000000000000000000000000000000000−222200
χ5188-8-800000000000000000000000000022−22−2222000000000000000000
χ5288-8-8000000000000000000000000000−222222−22000000000000000000
χ538-88-8000-8800000000000000000000000000000000000000000000

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