Finite Group Databasebeta

← Group #250311

Character table — Group #250311

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222224448888888888888888881616161616161616161616161616161616161632
order12222244444444422222444448888888822444444444888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-11-1-1111-1-1-11-1-11-1-1-1-1-1
χ31111111111111111111-1-1-111-1-1-1-1-11111111-1-11-1-11-1-1-111-1-1-1-1-11
χ41111111111111111111-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-1-111-1-1-1-11111-1
χ511111111111111111-1-1111111-1-1-1-11111-11-111-1111-1-1-1-1-1-1-1-111-1
χ611111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-111-1-11
χ711111111111111111-1-1-1-1-111-111111111-11-1-1-1-1-1-11111-1-1111-1-1-1
χ811111111111111111-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111
χ9111111111111111-1-111111-1-1111-1-11111-1-11-1-1-1-1-1-1-1-1111-11111-1
χ10111111111111111-1-111111-1-1111-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-11
χ11111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1111-111-111-1111-1-1-1-1-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1111-1-1-1-1-1111111
χ13111111111111111-1-1-1-1111-1-11-1-11111111-1-1-1-11-1-1-111-1-1-11-1-1111
χ14111111111111111-1-1-1-1111-1-11-1-111-1-1-1-111-1111-1-11-1-1-111111-1-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111-1-111111-1-1-11-1-1-111-1-11
χ16111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1111111111-1-1-111-1
χ17222222-222-222-2-2-200222-2-20022200000000-200000000-200000000
χ18222222-222-222-2-2-20022-22200-2-2-200000000-200000000200000000
χ19222222-222-222-2-2-200-2-22-2-2002-2-200000000200000000200000000
χ20222222-222-222-2-2-200-2-2-22200-22200000000200000000-200000000
χ21222222-2-2-2-2-2-2-2222-2000002-20000000000002-20000000000002-20
χ22222222-2-2-2-2-2-2-2222-2000002-2000000000000-22000000000000-220
χ23222222-2-2-2-2-2-2-222-2200000-220000000000002-2000000000000-220
χ24222222-2-2-2-2-2-2-222-2200000-22000000000000-220000000000002-20
χ252222-2-222-222-2-2-222200000-2-20000022-2-202000000-200000000000
χ262222-2-222-222-2-2-222200000-2-200000-2-2220-2000000200000000000
χ272222-2-222-222-2-2-22-2-200000220000022-2-20-2000000200000000000
χ282222-2-222-222-2-2-22-2-2000002200000-2-22202000000-200000000000
χ292222-2-22-222-22-22-200002-2200-200220000-20000200000000-200000
χ302222-2-22-222-22-22-200002-2200-200-2-2000020000-200000000200000
χ312222-2-22-222-22-22-20000-22-20020022000020000-200000000-200000
χ322222-2-22-222-22-22-20000-22-200200-2-20000-20000200000000200000
χ332222-2-2-2-22-2-222-222-20022-2-22-2000000000000002-2000000000000
χ342222-2-2-2-22-2-222-222-200-2-22-22200000000000000-22000000000000
χ352222-2-2-2-22-2-222-22-220022-22-2-200000000000000-22000000000000
χ362222-2-2-2-22-2-222-22-2200-2-222-22000000000000002-2000000000000
χ374444444-4-44-4-44-4-400000000000000000000000000000000000000
χ384444-4-4-44-4-44-444-400000000000000000000000000000000000000
χ394-44-400400-4000000000000000002i2−2i2002i2−2i20000000002-2000000000
χ404-44-400400-4000000000000000002i2−2i200−2i22i2000000000-22000000000
χ414-44-400400-400000000000000000−2i22i2002i2−2i2000000000-22000000000
χ424-44-400400-400000000000000000−2i22i200−2i22i20000000002-2000000000
χ434-4-444-40440-4-40000000000000000000000000000000000002i2−2i2000
χ444-4-444-40440-4-4000000000000000000000000000000000000−2i22i2000
χ454-4-444-40-4-4044000004-40000000000000000000000000000000000
χ464-4-444-40-4-404400000-440000000000000000000000000000000000
χ474-4-44-4404-40-4400000000000004-400000000000000000000000000
χ484-4-44-4404-40-440000000000000-4400000000000000000000000000
χ494-4-44-440-4404-400000000000000000000000000000000022−22000000
χ504-4-44-440-4404-4000000000000000000000000000000000−2222000000
χ5188-8-800000000000000000000000004-40000000000000000000000
χ5288-8-80000000000000000000000000-440000000000000000000000
χ538-88-800-80080000000000000000000000000000000000000000000

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