Finite Group Databasebeta

← Group #130752

Character table — Group #130752

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112244444444888888888888888161616161616161616161616161632323232
order12222222224444222222222244444444444888888884444
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111-1-1-1-11-1-111-11-1-1-1-1-1-1-1-11111-1-111
χ511111111111111-1-1-1-1-1-111-1-1111111-1-11-1-111111111-1-1-1-1
χ611111111111111-1-1-1-1-1-111-1-1111111-1-11-1-1-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-1-1-1-1-1111-1-111-1-11-1111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-1111-1-111-1-11-111-1-1-1-1111111-1-1
χ9111111-1-1-1-111111111-1-111111-1-1-1-11-11-1-1-1ii−i−iii−i−ii−ii−i
χ10111111-1-1-1-111111111-1-111111-1-1-1-11-11-1-1-1−i−iii−i−iii−ii−ii
χ11111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1111ii−i−i−i−iiii−i−ii
χ12111111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1111−i−iiiii−i−i−iii−i
χ13111111-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ14111111-1-1-1-11111-1-1-1-11111-1-11-1-1-1-111-1-111−i−iii−i−iiii−ii−i
χ15111111-1-1-1-11111-1-1-1-111-1-111111-1-1-1111-1-1ii−i−i−i−iii−iii−i
χ16111111-1-1-1-11111-1-1-1-111-1-111111-1-1-1111-1-1−i−iiiii−i−ii−i−ii
χ172222222222-2-2220000002200-222-2-2-200-200000000000000
χ182222222222-2-222000000-2-200-2-2-2-2-2200200000000000000
χ192222222-22-222-2-222-2-2220000-2002-20-20000000000000000
χ202222222-22-222-2-2-2-222-2-20000-2002-2020000000000000000
χ212222222-22-2-2-2-2-20000000022200-2200-202-2000000000000
χ222222222-22-2-2-2-2-200000000-2-2200-220020-22000000000000
χ23222222-22-2222-2-222-2-2-2-20000-200-22020000000000000000
χ24222222-22-2222-2-2-2-222220000-200-220-20000000000000000
χ25222222-22-22-2-2-2-200000000222002-200-20-22000000000000
χ26222222-22-22-2-2-2-200000000-2-22002-200202-2000000000000
χ27222222-2-2-2-2-2-2220000002200-2-2-222-200200000000000000
χ28222222-2-2-2-2-2-222000000-2-200-22222200-200000000000000
χ292-2-22-2222-2-2002-20000002-20002-200000000i2−i2i2−i2i2−i2i2−i20000
χ302-2-22-2222-2-2002-20000002-20002-200000000−i2i2−i2i2−i2i2−i2i20000
χ312-2-22-2222-2-2002-2000000-22000-2200000000i2−i2i2−i2−i2i2−i2i20000
χ322-2-22-2222-2-2002-2000000-22000-2200000000−i2i2−i2i2i2−i2i2−i20000
χ332-2-22-22-2-222002-20000002-2000-22000000002−2−222−2−220000
χ342-2-22-22-2-222002-20000002-2000-2200000000−222−2−222−20000
χ352-2-22-22-2-222002-2000000-220002-2000000002−2−22−222−20000
χ362-2-22-22-2-222002-2000000-220002-200000000−222−22−2−220000
χ374444-4-400004-400004-400000000000000000000000000000
χ384444-4-400004-40000-4400000000000000000000000000000
χ394444-4-40000-44004-40000000000000000000000000000000
χ404444-4-40000-4400-440000000000000000000000000000000
χ414-4-44-444-4-4400-44000000000000000000000000000000000
χ424-4-44-44-444-400-44000000000000000000000000000000000
χ4388-8-8000000000000004-4000000000000000000000000000
χ4488-8-800000000000000-44000000000000000000000000000
χ458-88-80000000000000000004-400000000000000000000000
χ468-88-8000000000000000000-4400000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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