Finite Group Databasebeta

← Group #503200

Character table — Group #503200

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244444448888888881616161616161616161616161616161616161616163232
order12222244222244444444444422224444444444444444488
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
χ5111111111111111111-1-1-1-1-1-11-111-11-11111-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-11-1-1-1-11-1-1-111-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-111
χ9111111-1-11111-111-1-1-111-1-111111-1-1-1-11-11-11-111-1-111-1-11-1
χ10111111-1-11111-111-1-1-111-1-11111-11-1-1-1-111-11-1-1-111-1-111-11
χ11111111-1-11111-111-1-1-111-1-111-1-11-1-1111-1-11-11-1-111-1-1111-1
χ12111111-1-11111-111-1-1-111-1-111-1-1-11-111-11-11-1111-1-111-1-1-11
χ13111111-1-11111-111-1-1-1-1-111-1-11-11-11-111-11-1-1111-1-1-1-111-11
χ14111111-1-11111-111-1-1-1-1-111-1-11-1-111-11-111-1-11-1-11111-1-11-1
χ15111111-1-11111-111-1-1-1-1-111-1-1-111-111-11-1-111-1-1-11111-1-1-11
χ16111111-1-11111-111-1-1-1-1-111-1-1-11-1111-1-11-111-111-1-1-1-1111-1
χ172222222222-2-22-2-22-2-200000002000020000-2-20000000000
χ182222222222-2-22-2-22-2-20000000-20000-20000220000000000
χ1922222222-2-2222-2-2-22-2000000200002000-2-2000000000000
χ2022222222-2-2222-2-2-22-2000000-20000-200022000000000000
χ2122222222-2-2-2-2222-2-2222-2-2-2-200002000000000000000000
χ2222222222-2-2-2-2222-2-22-2-222220000-2000000000000000000
χ23222222-2-222-2-2-2-2-2-222000000020000-20000-220000000000
χ24222222-2-222-2-2-2-2-2-2220000000-20000200002-20000000000
χ25222222-2-2-2-222-2-2-22-2200000020000-2000-22000000000000
χ26222222-2-2-2-222-2-2-22-22000000-2000020002-2000000000000
χ27222222-2-2-2-2-2-2-22222-22222-2-20000-2000000000000000000
χ28222222-2-2-2-2-2-2-22222-2-2-2-2-22200002000000000000000000
χ292-2-22-22002-22-20-220002-2002-20000000000000002-2002-200
χ302-2-22-22002-22-20-220002-2002-2000000000000000-2200-2200
χ312-2-22-22002-22-20-22000-2200-220000000000000002-200-2200
χ322-2-22-22002-22-20-22000-2200-22000000000000000-22002-200
χ332-2-22-2200-22-220-220002-200-2200000000000002-2002-20000
χ342-2-22-2200-22-220-220002-200-220000000000000-2200-220000
χ352-2-22-2200-22-220-22000-22002-200000000000002-200-220000
χ362-2-22-2200-22-220-22000-22002-20000000000000-22002-20000
χ374444-4-4440000-400000000000002-2000-2200000000000000
χ384444-4-4440000-40000000000000-220002-200000000000000
χ394444-4-4-4-400004000000000000022000-2-200000000000000
χ404444-4-4-4-4000040000000000000-2-20002200000000000000
χ414-4-44-44004-4-4404-400000000000000000000000000000000
χ424-4-44-4400-444-404-400000000000000000000000000000000
χ4388-8-800000000000000004i−4i0000000000000000000000000
χ4488-8-80000000000000000−4i4i0000000000000000000000000
χ458-88-8008i−8i000000000000000000000000000000000000000
χ468-88-800−8i8i000000000000000000000000000000000000000
χ478-8-888-800000000000000000000000000000000000000000

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