Finite Group Databasebeta

← Group #486369

Character table — Group #486369

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442222444444444444444444448888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1111111-1-11111-1-1-1-1-1-1
χ611111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111-1-1-1-11-1-1-1-11-1-11111-1-111-11111-1-111-1-1-1-11111-1-1
χ811111111111111-1-1-1-11-1-1-1-11-1-11111-1-111-1-1-1-1-1-1-1111111-1-1-1-111
χ9111111-1-1-1-1-1-11-11111111-1-1-1-1-111-1-1-1-111111-1-11-11-111-1-111-1-11-1
χ10111111-1-1-1-1-1-11-11111111-1-1-1-1-111-1-1-1-1111-1-1111-11-1-1-111-1-111-11
χ11111111-1-1-1-1-1-11-111111-1-111-1-1-1-1-111-1-111111-1-1-11-11-1-111-1-1111-1
χ12111111-1-1-1-1-1-11-111111-1-111-1-1-1-1-111-1-1111-1-111-11-1111-1-111-1-1-11
χ13111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-111-1-1111111-111-1-11-1-1111-1-1-1-111-11
χ14111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-111-1-1111111-1-1-1111-1-11-1-11111-1-11-1
χ15111111-1-1-1-1-1-11-1-1-1-1-11-1-111-11111-1-11111-111-1-1-111-1-1-11111-1-1-11
χ16111111-1-1-1-1-1-11-1-1-1-1-11-1-111-11111-1-11111-1-1-111-111-111-1-1-1-1111-1
χ172222222222-2-2-220000-20000-2002222002-20000000-2-20000000000
χ182222222222-2-2-220000-20000-200-2-2-2-2002-20000000220000000000
χ1922222222-2-222-220000-22222-200000000-2200000-2-2000000000000
χ2022222222-2-222-220000-2-2-2-2-2-200000000-220000022000000000000
χ2122222222-2-2-2-2222222200002-2-2000022-2-2-2000000000000000000
χ2222222222-2-2-2-222-2-2-2-2200002220000-2-2-2-22000000000000000000
χ23222222-2-222222-2222220000-2220000-2-2-2-2-2000000000000000000
χ24222222-2-222222-2-2-2-2-220000-2-2-2000022-2-22000000000000000000
χ25222222-2-222-2-2-2-20000-222-2-2200000000-2200000-22000000000000
χ26222222-2-222-2-2-2-20000-2-2-222200000000-22000002-2000000000000
χ27222222-2-2-2-222-2-20000-2000020022-2-2002-20000000-220000000000
χ28222222-2-2-2-222-2-20000-20000200-2-222002-200000002-20000000000
χ2922-2-2-22002-22-22022-2-2-2000002-200000000000000000i2−i2i2−i2i2−i2i2−i200
χ3022-2-2-22002-22-22022-2-2-2000002-200000000000000000−i2i2−i2i2−i2i2−i2i200
χ3122-2-2-22002-22-220-2-222-200000-2200000000000000000i2−i2i2−i2−i2i2−i2i200
χ3222-2-2-22002-22-220-2-222-200000-2200000000000000000−i2i2−i2i2i2−i2i2−i200
χ3322-2-2-2200-22-222022-2-2-200000-2200000000000000000i2−i2−i2i2i2−i2−i2i200
χ3422-2-2-2200-22-222022-2-2-200000-2200000000000000000−i2i2i2−i2−i2i2i2−i200
χ3522-2-2-2200-22-2220-2-222-2000002-200000000000000000i2−i2−i2i2−i2i2i2−i200
χ3622-2-2-2200-22-2220-2-222-2000002-200000000000000000−i2i2i2−i2i2−i2−i2i200
χ374444-4-44400000-40000000000000000000002-22-200000000000000
χ384444-4-44400000-4000000000000000000000-22-2200000000000000
χ394444-4-4-4-40000040000000000000000000002-2-2200000000000000
χ404444-4-4-4-4000004000000000000000000000-222-200000000000000
χ4144-4-4-44004-4-44-40000040000000000000000000000000000000000
χ4244-4-4-4400-444-4-40000040000000000000000000000000000000000
χ434-44-4004-40000002i−2i2i−2i02-22-20002i−2i2i−2i2i−2i000000000000000000000
χ444-44-4004-40000002i−2i2i−2i0-22-22000−2i2i−2i2i2i−2i000000000000000000000
χ454-44-4004-4000000−2i2i−2i2i02-22-2000−2i2i−2i2i−2i2i000000000000000000000
χ464-44-4004-4000000−2i2i−2i2i0-22-220002i−2i2i−2i−2i2i000000000000000000000
χ474-44-400-440000002i−2i2i−2i02-2-220002i−2i−2i2i−2i2i000000000000000000000
χ484-44-400-440000002i−2i2i−2i0-222-2000−2i2i2i−2i−2i2i000000000000000000000
χ494-44-400-44000000−2i2i−2i2i02-2-22000−2i2i2i−2i2i−2i000000000000000000000
χ504-44-400-44000000−2i2i−2i2i0-222-20002i−2i−2i2i2i−2i000000000000000000000
χ5188-8-88-800000000000000000000000000000000000000000000000
χ528-8-8800000000004i−4i−4i4i00000000000000000000000000000000000
χ538-8-880000000000−4i4i4i−4i00000000000000000000000000000000000

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