Finite Group Databasebeta

← Group #264604

Character table — Group #264604

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888244444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-1111-1111-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-111-11
χ511111111111111111111-1-1-1-1111111111111111-1-1-11-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-1-11-1-111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-1111111-1-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1111-1-1-1-1111-1
χ9111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-111-11
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111-1-11-1
χ11111111111111111111-1-11111-1-1111111111111-1-1-11-1-1-111111-1-1-1-1-1-1
χ12111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111-11111-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-111111-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-111-1-111-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1111-1-1111111-1-1
χ172222222222-2-2-222-2-2-222000022000022-2-20000-2000-20000000000000
χ182222222222-2-2-222-2-2-2220000-2-20000-2-22200002000-20000000000000
χ192222222222-2-2-222-2-2-2-2-20000220000-2-2220000-200020000000000000
χ202222222222-2-2-222-2-2-2-2-20000-2-2000022-2-20000200020000000000000
χ2122222222-2-2222-2-22-2-20022-2-20022-2-2000000000002000-20000000000
χ2222222222-2-2222-2-22-2-20022-2-200-2-22200000000000-200020000000000
χ2322222222-2-2222-2-22-2-200-2-2220022-2-200000000000-200020000000000
χ2422222222-2-2222-2-22-2-200-2-22200-2-222000000000002000-20000000000
χ252-2-2-2-222222-222-2-2-22-2002-22-200000000002i2i−2i−2i00000000002i−2i000000
χ262-2-2-2-222222-222-2-2-22-2002-22-20000000000−2i−2i2i2i0000000000−2i2i000000
χ272-2-2-2-222222-222-2-2-22-200-22-2200000000002i2i−2i−2i0000000000−2i2i000000
χ282-2-2-2-222222-222-2-2-22-200-22-220000000000−2i−2i2i2i00000000002i−2i000000
χ292-2-2-2-2222-2-22-2-22222-20000000000002-22-2000002-2002-200000000000
χ302-2-2-2-2222-2-22-2-22222-20000000000002-22-200000-2200-2200000000000
χ312-2-2-2-2222-2-22-2-22222-2000000000000-22-22000002-200-2200000000000
χ322-2-2-2-2222-2-22-2-22222-2000000000000-22-2200000-22002-200000000000
χ332-2-2-2-2222-2-2-22222-2-22002-2-220000002-2-220000000000002-200000000
χ342-2-2-2-2222-2-2-22222-2-22002-2-22000000-222-2000000000000-2200000000
χ352-2-2-2-2222-2-2-22222-2-2200-222-20000002-2-22000000000000-2200000000
χ362-2-2-2-2222-2-2-22222-2-2200-222-2000000-222-20000000000002-200000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ38444-4-44-4-44-40004-40000000000000000000000000000000000022−220000
χ39444-4-44-4-44-40004-400000000000000000000000000000000000−22220000
χ40444-4-44-4-4-44000-440004-4000000000000000000000000000000000000
χ41444-4-44-4-4-44000-44000-44000000000000000000000000000000000000
χ4244-44-4-4-440044-400-40000000000004i−4i00000000000000000000000000
χ4344-44-4-4-440044-400-4000000000000−4i4i00000000000000000000000000
χ4444-44-4-4-4400-4-4400400000000000000000022−2222−22000000000000000000
χ4544-44-4-4-4400-4-44004000000000000000000−2222−2222000000000000000000
χ464-44-44-4-44004-4400-40000000000000000002i2−2i2−2i22i2000000000000000000
χ474-44-44-4-44004-4400-4000000000000000000−2i22i22i2−2i2000000000000000000
χ484-44-44-4-4400-44-400400000000004-40000000000000000000000000000
χ494-44-44-4-4400-44-40040000000000-440000000000000000000000000000
χ504-4-4444-4-44-4000-440000000004i−4i000000000000000000000000000000
χ514-4-4444-4-44-4000-44000000000−4i4i000000000000000000000000000000
χ524-4-4444-4-4-440004-400000000000000000000000000000000000002i2−2i200
χ534-4-4444-4-4-440004-40000000000000000000000000000000000000−2i22i200
χ544-4-4-4-4444444-4-4-4-44-4400000000000000000000000000000000000000
χ5588-8-88-88-8000000000000000000000000000000000000000000000000
χ568-888-8-88-8000000000000000000000000000000000000000000000000

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