Finite Group Databasebeta

← Group #277921

Character table — Group #277921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222224444444444444888888888881616161616161616161616161616161616163232
order12222244444444444448888884488888888844888888888888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-1111-1-1-1111-1-1-1-11-1
χ61111111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-11111-11
χ71111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1-1-11
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1111-111-1-1111-1
χ91111111111111-1-11-1-11111111-1-11-1-1-1-1111111-1111-1-11-1-1-1-1-1-1-1-1-111
χ101111111111111-1-11-1-11111111-1-11-1-1-1-11111-1-11-1-11-1-11-1-11111111-1-1
χ111111111111111-1-11-1-11111111-1-11-1-1-1-1-1-1-1-111-111-111-111-11111-1-1-1-1
χ121111111111111-1-11-1-11111111-1-11-1-1-1-1-1-1-1-1-1-11-1-1-111-1111-1-1-1-11111
χ131111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-1-111-1-1-111111-1
χ141111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111111-1-1-1-1-11
χ151111111111111-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-111-1-111-11
χ161111111111111-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1111-1-11-1-111-1-11-1
χ172222222-2-2-2-22222-2-2-2-20000002-20000000000002i−2i000000000002i−2i00
χ182222222-2-2-2-22222-2-2-2-20000002-2000000000000−2i2i00000000000−2i2i00
χ192222222-2-2-2-222-2-2-222-2000000-220000000000002i−2i00000000000−2i2i00
χ202222222-2-2-2-222-2-2-222-2000000-22000000000000−2i2i000000000002i−2i00
χ21222222-22222-2-200-200-22222-2-200-20000222200000-200-200000000000
χ22222222-22222-2-200-200-22222-2-200-20000-2-2-2-200000200200000000000
χ23222222-22222-2-200-200-2-2-2-2-222002000022-2-200000-200200000000000
χ24222222-22222-2-200-200-2-2-2-2-2220020000-2-22200000200-200000000000
χ252222-2-2222-2-22-222-2-2-2222-2-222-22-222-2-2000000000000000000000000
χ262222-2-2222-2-22-222-2-2-22-2-222-2-2-222-2-222000000000000000000000000
χ272222-2-2222-2-22-2-2-2-222222-2-2222-2-2-2-222000000000000000000000000
χ282222-2-2222-2-22-2-2-2-2222-2-222-2-22-2222-2-2000000000000000000000000
χ292222-2-22-2-2222-222222-2000000-2-20000000002-2200000000-200000000
χ302222-2-22-2-2222-222222-2000000-2-2000000000-22-200000000200000000
χ312222-2-22-2-2222-2-2-22-2-2-2000000220000000002-2-200000000200000000
χ322222-2-22-2-2222-2-2-22-2-2-200000022000000000-22200000000-200000000
χ332222-2-2-222-2-2-2200200-222-2-2-2-2002000000000000002i−2i02i−2i000000000
χ342222-2-2-222-2-2-2200200-222-2-2-2-200200000000000000−2i2i0−2i2i000000000
χ352222-2-2-222-2-2-2200200-2-2-2222200-2000000000000002i−2i0−2i2i000000000
χ362222-2-2-222-2-2-2200200-2-2-2222200-200000000000000−2i2i02i−2i000000000
χ37444444-4-4-4-4-4-4-40040040000000000000000000000000000000000000
χ384444-4-4-4-4-444-4400-40040000000000000000000000000000000000000
χ3944-4-44-404-44-4000000000000000000000000000000000000022−22000000
χ4044-4-44-404-44-40000000000000000000000000000000000000−2222000000
χ4144-4-44-40-44-44000000000000000000000004-400000000000000000000
χ4244-4-44-40-44-4400000000000000000000000-4400000000000000000000
χ4344-4-4-4404-4-4400000000000000000000000000000000000000022−220000
χ4444-4-4-4404-4-44000000000000000000000000000000000000000−22220000
χ4544-4-4-440-444-40000000000000000000004-40000000000000000000000
χ4644-4-4-440-444-4000000000000000000000-440000000000000000000000
χ474-44-40040000-404-4000022−220022−2200022−2200000000000000000000000000
χ484-44-40040000-404-40000−222200−2222000−222200000000000000000000000000
χ494-44-40040000-40-44000022−220022−22000−222200000000000000000000000000
χ504-44-40040000-40-440000−222200−222200022−2200000000000000000000000000
χ514-44-400-40000400004i−4i022−2200−2222000002i2−2i2000000000000000000000000
χ524-44-400-40000400004i−4i0−22220022−2200000−2i22i2000000000000000000000000
χ534-44-400-4000040000−4i4i022−2200−222200000−2i22i2000000000000000000000000
χ544-44-400-4000040000−4i4i0−22220022−22000002i2−2i2000000000000000000000000
χ558-8-880000000000000000042−42000000000000000000000000000000000
χ568-8-8800000000000000000−4242000000000000000000000000000000000

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