Finite Group Databasebeta

← Group #314593

Character table — Group #314593

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444888888888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-111-11111-1-1-1-1-111-1-1-1-1
χ31111111111111111111111-1-111-1-111-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-111-11
χ41111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-11111-1-1-1-11-1
χ511111111111111111111-1-111-1-1111111111111-1-1-111-1-1-111-1-1-1-111-1-1
χ611111111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-1-1-1-1-11111111-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1111-1-111-1-1-11
χ9111111111111111111-1-1111111-1-111-1-111-1-1-1-11111-1-1-1111-1-1-1-1-1-11-1
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1-111-11
χ11111111111111111111-1-111-1-111111111111111-1-11-1-1-1-11-1-11111-1-1-1-1
χ12111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ13111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-11-111-1111111-1-1-11
χ14111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1111-1-1-1-111111-1
χ15111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-111-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111-1-11111111-1-111-1-1
χ17222222222-22-22-22-2-2-2220022002200-2-2000000000-2-20000000000000
χ18222222222-22-22-22-2-2-22200-2-200-2-200220000000002-20000000000000
χ19222222222-22-22-22-2-2-2-2-2002200-2-20022000000000-220000000000000
χ20222222222-22-22-22-2-2-2-2-200-2-2002200-2-2000000000220000000000000
χ2122222222-22-22-22-22-2-2002200-2-2002200-2-2000000-2000020000000000
χ2222222222-22-22-22-22-2-2002200-2-200-2-2002200000020000-20000000000
χ2322222222-22-22-22-22-2-200-2-20022002200-2-200000020000-20000000000
χ2422222222-22-22-22-22-2-200-2-2002200-2-20022000000-2000020000000000
χ252-2-2-2222-222-2-222-2-2-22002-2002-22i−2i002i−2i0000000000000000002i−2i0000
χ262-2-2-2222-222-2-222-2-2-22002-2002-2−2i2i00−2i2i000000000000000000−2i2i0000
χ272-2-2-2222-222-2-222-2-2-2200-2200-222i−2i002i−2i000000000000000000−2i2i0000
χ282-2-2-2222-222-2-222-2-2-2200-2200-22−2i2i00−2i2i0000000000000000002i−2i0000
χ292-2-2-2222-22-2-222-2-222-2000000002i−2i00−2i2i0000002-20002i−2i00000000000
χ302-2-2-2222-22-2-222-2-222-2000000002i−2i00−2i2i000000-22000−2i2i00000000000
χ312-2-2-2222-22-2-222-2-222-200000000−2i2i002i−2i0000002-2000−2i2i00000000000
χ322-2-2-2222-22-2-222-2-222-200000000−2i2i002i−2i000000-220002i−2i00000000000
χ332-2-2-2222-2-222-2-222-22-2002-200-22000000002i2i−2i−2i00000000002i−2i000000
χ342-2-2-2222-2-222-2-222-22-2002-200-2200000000−2i−2i2i2i0000000000−2i2i000000
χ352-2-2-2222-2-222-2-222-22-200-22002-2000000002i2i−2i−2i0000000000−2i2i000000
χ362-2-2-2222-2-222-2-222-22-200-22002-200000000−2i−2i2i2i00000000002i−2i000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ38444-44-4-4-440-40-4040004-4000000000000000000000000000000000000
χ39444-44-4-4-440-40-404000-44000000000000000000000000000000000000
χ40444-44-4-4-4-404040-4000000000000000000000000000000000000022−2200
χ41444-44-4-4-4-404040-40000000000000000000000000000000000000−222200
χ4244-44-4-44-404040-40-40000000000004-400000000000000000000000000
χ4344-44-4-44-404040-40-4000000000000-4400000000000000000000000000
χ4444-44-4-44-40-40-404040000000000000000002i2−2i22i2−2i2000000000000000000
χ4544-44-4-44-40-40-40404000000000000000000−2i22i2−2i22i2000000000000000000
χ464-44-4-4-444040-40-40400000000000000004-40000000000000000000000
χ474-44-4-4-444040-40-4040000000000000000-440000000000000000000000
χ484-44-4-4-4440-404040-400000000000000000022−22−2222000000000000000000
χ494-44-4-4-4440-404040-4000000000000000000−222222−22000000000000000000
χ504-4-444-4-444040-40-400000004i−4i00000000000000000000000000000000
χ514-4-444-4-444040-40-40000000−4i4i00000000000000000000000000000000
χ524-4-444-4-44-40-40404000000000000000000000000000000022−2200000000
χ534-4-444-4-44-40-404040000000000000000000000000000000−222200000000
χ544-4-4-4444-4-4-444-4-444-4400000000000000000000000000000000000000
χ5588-8-8-88-88000000000000000000000000000000000000000000000000
χ568-888-88-8-8000000000000000000000000000000000000000000000000

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