Finite Group Databasebeta

← Group #486376

Character table — Group #486376

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244444444444444444422444444444448888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111-1-1-1-1-1-1111-111-11-11111-1-11111-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-111-1-1-1-1-1-1111111
χ71111111111111111-1-1-1-1-1-111-1111-1-1111-1-111-1-1-1-11111-1-1
χ81111111111111111-1-1-1-1-1-111-11-1-1-1-11-1-1-1-1111111-1-1-1-111
χ9111111-1-1-11-1-1-1-11-11111-1-111111-1-1-1-11-11-11-111-1-111-1-11-1
χ10111111-1-1-11-1-1-1-11-11111-1-11111-11-1-1-1-111-11-1-1-111-1-111-11
χ11111111-1-1-11-1-1-1-11-11111-1-111-1-11-1-1111-1-11-11-1-111-1-1111-1
χ12111111-1-1-11-1-1-1-11-11111-1-111-1-1-11-111-11-11-1111-1-111-1-1-11
χ13111111-1-1-11-1-1-1-11-1-1-1-1-111111-11-11-111-11-1-1111-1-1-1-111-11
χ14111111-1-1-11-1-1-1-11-1-1-1-1-111111-1-111-11-111-1-11-1-11111-1-11-1
χ15111111-1-1-11-1-1-1-11-1-1-1-1-11111-111-111-11-1-111-1-1-11111-1-1-11
χ16111111-1-1-11-1-1-1-11-1-1-1-1-11111-11-1111-1-11-111-111-1-1-1-1111-1
χ172222222222-2-2-2-22222-2-2-2-2-2-200002000000000000000000
χ182222222222-2-2-2-222-2-22222-2-20000-2000000000000000000
χ19222222222-222-2-2-2-20000002-202000020000-2-20000000000
χ20222222222-222-2-2-2-20000002-20-20000-20000220000000000
χ21222222222-2-2-222-2-2000000-22200002000-2-2000000000000
χ22222222222-2-2-222-2-2000000-22-20000-200022000000000000
χ23222222-2-2-2222222-222-2-222-2-20000-2000000000000000000
χ24222222-2-2-2222222-2-2-222-2-2-2-200002000000000000000000
χ25222222-2-2-2-222-2-2-22000000-2220000-2000-22000000000000
χ26222222-2-2-2-222-2-2-22000000-22-2000020002-2000000000000
χ27222222-2-2-2-2-2-222-220000002-2020000-20000-220000000000
χ28222222-2-2-2-2-2-222-220000002-20-20000200002-20000000000
χ292-22-2-2200022-22-2-202-2002-2000000000000000i2−i2i2−i2i2−i2i2−i200
χ302-22-2-2200022-22-2-202-2002-2000000000000000−i2i2−i2i2−i2i2−i2i200
χ312-22-2-2200022-22-2-20-2200-22000000000000000i2−i2i2−i2−i2i2−i2i200
χ322-22-2-2200022-22-2-20-2200-22000000000000000−i2i2−i2i2i2−i2i2−i200
χ332-22-2-220002-22-22-202-200-22000000000000000i2−i2−i2i2i2−i2−i2i200
χ342-22-2-220002-22-22-202-200-22000000000000000−i2i2i2−i2−i2i2i2−i200
χ352-22-2-220002-22-22-20-22002-2000000000000000i2−i2−i2i2−i2i2i2−i200
χ362-22-2-220002-22-22-20-22002-2000000000000000−i2i2i2−i2i2−i2−i2i200
χ374444-4-444-4000000000000000002-2000-2200000000000000
χ384444-4-444-400000000000000000-220002-200000000000000
χ394444-4-4-4-440000000000000000022000-2-200000000000000
χ404444-4-4-4-4400000000000000000-2-20002200000000000000
χ414-44-4-44000-44-4-44400000000000000000000000000000000
χ424-44-4-44000-4-444-4400000000000000000000000000000000
χ4388-8-8000000000000004-4000000000000000000000000000
χ4488-8-800000000000000-44000000000000000000000000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-88008i−8i000000000000000000000000000000000000000
χ478-8-8800−8i8i000000000000000000000000000000000000000

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