Finite Group Databasebeta

← Group #281503

Character table — Group #281503

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-11-1
χ41111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1111-1-1-1-111-1-111-11
χ511111111111111111111-1-111-1-11111111111111-1-11-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-1-1-1111-1
χ9111111111111111111-1-1111111-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-111-11
χ10111111111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-11-1
χ11111111111111111111-1-111-1-111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1
χ12111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ13111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-11111-1-1111-1
χ14111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-11111-1-1111111-1-1
χ17222222222-22-2-222-2-2-222002200220000-2-20000-200-200000000000000
χ18222222222-22-2-222-2-2-22200-2-200-2-20000220000200-200000000000000
χ19222222222-22-2-222-2-2-2-2-2002200-2-20000220000-200200000000000000
χ20222222222-22-2-222-2-2-2-2-200-2-200220000-2-20000200200000000000000
χ2122222222-22-222-2-22-2-2002200-2-20022-2-200000002-2000000000000000
χ2222222222-22-222-2-22-2-2002200-2-200-2-2220000000-22000000000000000
χ2322222222-22-222-2-22-2-200-2-200220022-2-20000000-22000000000000000
χ2422222222-22-222-2-22-2-200-2-2002200-2-22200000002-2000000000000000
χ2522-22-22-2-222-2-2-22-22-22002i−2i002i−2i0000000022-2-200000000002i−2i000000
χ2622-22-22-2-222-2-2-22-22-22002i−2i002i−2i00000000-2-2220000000000−2i2i000000
χ2722-22-22-2-222-2-2-22-22-2200−2i2i00−2i2i0000000022-2-20000000000−2i2i000000
χ2822-22-22-2-222-2-2-22-22-2200−2i2i00−2i2i00000000-2-22200000000002i−2i000000
χ2922-22-22-2-2-222-2-2-2222-2002i−2i00−2i2i2-200002-20000000000002i−2i00000000
χ3022-22-22-2-2-222-2-2-2222-2002i−2i00−2i2i-220000-22000000000000−2i2i00000000
χ3122-22-22-2-2-222-2-2-2222-200−2i2i002i−2i2-200002-2000000000000−2i2i00000000
χ3222-22-22-2-2-222-2-2-2222-200−2i2i002i−2i-220000-220000000000002i−2i00000000
χ3322-22-22-2-2-2-2222-22-2-22000000002-20000-22000000002i−2i2i−2i0000000000
χ3422-22-22-2-2-2-2222-22-2-22000000002-20000-2200000000−2i2i−2i2i0000000000
χ3522-22-22-2-2-2-2222-22-2-2200000000-2200002-2000000002i−2i−2i2i0000000000
χ3622-22-22-2-2-2-2222-22-2-2200000000-2200002-200000000−2i2i2i−2i0000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ3844-44-44-4-44-4-4444-4-44-400000000000000000000000000000000000000
χ394-444-4-44-440-400-4400000004i−4i00000000000000000000000000000000
χ404-444-4-44-440-400-440000000−4i4i00000000000000000000000000000000
χ414-444-4-44-4-404004-400000000000000000000000000000000000002i2−2i200
χ424-444-4-44-4-404004-40000000000000000000000000000000000000−2i22i200
χ434-44-4-44-440404-400-40000000000000000002i2−2i22i2−2i2000000000000000000
χ444-44-4-44-440404-400-4000000000000000000−2i22i2−2i22i2000000000000000000
χ454-44-4-44-440-40-440040000000000004-400000000000000000000000000
χ464-44-4-44-440-40-44004000000000000-4400000000000000000000000000
χ474-4-444-4-4440400-4-4000000000000000000000000000000000002i2−2i20000
χ484-4-444-4-4440400-4-400000000000000000000000000000000000−2i22i20000
χ494-4-444-4-44-40-400440004-4000000000000000000000000000000000000
χ504-4-444-4-44-40-40044000-44000000000000000000000000000000000000
χ514-4-4-4444-4040-4400-40000000000000000002i2−2i2−2i22i2000000000000000000
χ524-4-4-4444-4040-4400-4000000000000000000−2i22i22i2−2i2000000000000000000
χ534-4-4-4444-40-404-4004000000000000004-4000000000000000000000000
χ544-4-4-4444-40-404-400400000000000000-44000000000000000000000000
χ55888-88-8-8-8000000000000000000000000000000000000000000000000
χ5688-8-8-8-888000000000000000000000000000000000000000000000000

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