Finite Group Databasebeta

← Group #506407

Character table — Group #506407

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order1244222444888888888888884444448822224444888888881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111-1-1-1-1-1-1111-1111-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-1-1-1-111-1111-11-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11-1111111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-111111-1-1111111-1-1-1-1
χ91111111111111111-1-1-1-11111-1-111-1-1-1-11-1111-11111-1-1-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-111-1-1-1-11-1-1-11-1-1-111-1-11111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-111-1-1-1-1-1111-1111-1-111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-111-1-1-1-1-11-1-1-11-1-1-1-111111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-1-1-111-1-11111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-1-11111-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-111-1-1-1-111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-1111-1-111-1-111-1-1-1-111
χ172222222222-2-2-2-2-2-222222222-2-2-2-222-2-2000000000000000000000000
χ182222222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000
χ2122-2-22-2-222-222-2-22-2000022-2-2002-200000000000000002i−2i2i−2i00000000
χ2222-2-22-2-222-222-2-22-2000022-2-2002-20000000000000000−2i2i−2i2i00000000
χ2322-2-22-2-222-222-2-22-20000-2-22200-2200000000000000002i−2i−2i2i00000000
χ2422-2-22-2-222-222-2-22-20000-2-22200-220000000000000000−2i2i2i−2i00000000
χ2522-2-22-2-222-2-2-222-22000022-2-200-220000002200-2-20000000000000000
χ2622-2-22-2-222-2-2-222-22000022-2-200-22000000-2-200220000000000000000
χ2722-2-22-2-222-2-2-222-220000-2-222002-20000002-200-220000000000000000
χ2822-2-22-2-222-2-2-222-220000-2-222002-2000000-22002-20000000000000000
χ2922-2-2-22-22-2222-2-2-2222-2-200002-2000000000000002i−2i2i−2i000000000000
χ3022-2-2-22-22-2222-2-2-2222-2-200002-200000000000000−2i2i−2i2i000000000000
χ3122-2-2-22-22-2222-2-2-22-2-2220000-22000000000000002i−2i−2i2i000000000000
χ3222-2-2-22-22-2222-2-2-22-2-2220000-2200000000000000−2i2i2i−2i000000000000
χ3322-2-2-22-22-22-2-2222-222-2-20000-220000002200-2-2000000000000000000
χ3422-2-2-22-22-22-2-2222-222-2-20000-22000000-2-20022000000000000000000
χ3522-2-2-22-22-22-2-2222-2-2-22200002-20000002-200-22000000000000000000
χ3622-2-2-22-22-22-2-2222-2-2-22200002-2000000-22002-2000000000000000000
χ3722-2-2-2-22-2220000002-22-22-22-200002-20000000000000000002−22−22−22−2
χ3822-2-2-2-22-2220000002-22-22-22-200002-2000000000000000000−22−22−22−22
χ3922-2-2-2-22-2220000002-22-2-22-220000-220000000000000000002−22−2−22−22
χ4022-2-2-2-22-2220000002-22-2-22-220000-22000000000000000000−22−222−22−2
χ4122-2-2-2-22-222000000-22-222-22-20000-220000000000000000002−2−222−2−22
χ4222-2-2-2-22-222000000-22-222-22-20000-22000000000000000000−222−2−222−2
χ4322-2-2-2-22-222000000-22-22-22-2200002-20000000000000000002−2−22−222−2
χ4422-2-2-2-22-222000000-22-22-22-2200002-2000000000000000000−222−22−2−22
χ4544444-4-4-4-440000004-4-44000000000000000000000000000000000000
χ4644444-4-4-4-44000000-444-4000000000000000000000000000000000000
χ474444-44-4-44-400000000004-4-4400000000000000000000000000000000
χ484444-44-4-44-40000000000-444-400000000000000000000000000000000
χ494444-4-444-4-44444-4-40000000000000000000000000000000000000000
χ504444-4-444-4-4-4-4-4-4440000000000000000000000000000000000000000
χ5144-4-4444-4-4-4000000000000000000004i−4i000000000000000000000000
χ5244-4-4444-4-4-400000000000000000000−4i4i000000000000000000000000
χ538-88i−8i0000004i2−4i242−42000000000000000000000000000000000000000000
χ548-88i−8i000000−4i24i2−4242000000000000000000000000000000000000000000
χ558-8−8i8i0000004i2−4i2−4242000000000000000000000000000000000000000000
χ568-8−8i8i000000−4i24i242−42000000000000000000000000000000000000000000

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