Finite Group Databasebeta

← Group #503196

Character table — Group #503196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442222444444444442244444444444444488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111111-1-1-1-111-1-11-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1
χ611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111-1-1-1-11-1-1-1-1111-1-11111-1-111-111-1-111-1-1-1-11111-1-1
χ811111111111111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ9111111-1-11111-111111111-1-1-1-1-11111-1-1-1-11-1-11-11-11-111-1-111-1-11-1
χ10111111-1-11111-111111111-1-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-111-1-111-11
χ11111111-1-11111-1111111-1-111-1-1-111-1-111-1-11-1-11-1-11-11-1-111-1-1111-1
χ12111111-1-11111-1111111-1-111-1-1-111-1-111-1-1-11-1-11-11-1111-1-111-1-1-11
χ13111111-1-11111-11-1-1-1-1111-1-1-1-1-1-1-1-1-111111-111-11-1-1111-1-1-1-111-11
χ14111111-1-11111-11-1-1-1-1111-1-1-1-1-1-1-1-1-11111-111-111-1-11-1-11111-1-11-1
χ15111111-1-11111-11-1-1-1-11-1-111-1-1-1-1-111-1-1111-111-1-111-1-1-11111-1-1-11
χ16111111-1-11111-11-1-1-1-11-1-111-1-1-1-1-111-1-111-111-11-111-111-1-1-1-1111-1
χ172222222222-2-22-20000-200002-2-2002222000000000-2-20000000000
χ182222222222-2-22-20000-200002-2-200-2-2-2-2000000000220000000000
χ1922222222-2-2222-20000-22222-22-20000000000000-2-2000000000000
χ2022222222-2-2222-20000-2-2-2-2-2-22-2000000000000022000000000000
χ2122222222-2-2-2-222222220000-2-22-2-200002200-20000000000000000
χ2222222222-2-2-2-222-2-2-2-220000-2-22220000-2-20020000000000000000
χ23222222-2-222-2-2-2-20000-20000-2220022-2-2000000000-220000000000
χ24222222-2-222-2-2-2-20000-20000-22200-2-2220000000002-20000000000
χ25222222-2-2-2-222-2-20000-222-2-22-220000000000000-22000000000000
χ26222222-2-2-2-222-2-20000-2-2-2222-2200000000000002-2000000000000
χ27222222-2-2-2-2-2-2-2222222000022-2-2-20000-2-20020000000000000000
χ28222222-2-2-2-2-2-2-22-2-2-2-22000022-22200002200-20000000000000000
χ292-2-22-22002-22-20-222-2-2200000002-2000000000000000002-2002-200
χ302-2-22-22002-22-20-222-2-2200000002-200000000000000000-2200-2200
χ312-2-22-22002-22-20-2-2-22220000000-22000000000000000002-200-2200
χ322-2-22-22002-22-20-2-2-22220000000-2200000000000000000-22002-200
χ332-2-22-2200-22-220-222-2-220000000-220000000000000002-2002-20000
χ342-2-22-2200-22-220-222-2-220000000-22000000000000000-2200-220000
χ352-2-22-2200-22-220-2-2-222200000002-20000000000000002-200-220000
χ362-2-22-2200-22-220-2-2-222200000002-2000000000000000-22002-20000
χ374444-4-4440000-4000000000000000000000220-2-200000000000000
χ384444-4-4440000-4000000000000000000000-2-202200000000000000
χ394444-4-4-4-4000040000000000000000000002-20-2200000000000000
χ404444-4-4-4-400004000000000000000000000-2202-200000000000000
χ4144-4-4004-40000002i−2i2i−2i02-22-2000002i−2i2i−2i2i−2i0000000000000000000
χ4244-4-4004-40000002i−2i2i−2i0-22-2200000−2i2i−2i2i2i−2i0000000000000000000
χ4344-4-4004-4000000−2i2i−2i2i02-22-200000−2i2i−2i2i−2i2i0000000000000000000
χ4444-4-4004-4000000−2i2i−2i2i0-22-22000002i−2i2i−2i−2i2i0000000000000000000
χ4544-4-400-440000002i−2i2i−2i02-2-22000002i−2i−2i2i−2i2i0000000000000000000
χ4644-4-400-440000002i−2i2i−2i0-222-200000−2i2i2i−2i−2i2i0000000000000000000
χ4744-4-400-44000000−2i2i−2i2i02-2-2200000−2i2i2i−2i2i−2i0000000000000000000
χ4844-4-400-44000000−2i2i−2i2i0-222-2000002i−2i−2i2i2i−2i0000000000000000000
χ494-4-44-44004-4-44040000-40000000000000000000000000000000000
χ504-4-44-4400-444-4040000-40000000000000000000000000000000000
χ518-88-800000000004i−4i−4i4i00000000000000000000000000000000000
χ528-88-80000000000−4i4i4i−4i00000000000000000000000000000000000
χ538-8-888-800000000000000000000000000000000000000000000000

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