Finite Group Databasebeta

← Group #254178

Character table — Group #254178

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444448888888888888816161616161616161616161616161616163232
order12222244444444444444444224444444444444444444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11111-1-11111-111-1-1-1-1-1-111-1-111-1-11-1
χ411111111111111111111111-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-111-1-111-11
χ511111111111111111-1-1-1-1111111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111-1-1-1-1111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-111-1-1111-1
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-111-1-1-11
χ91111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1111111-1-11111-1-1-1-1-1-1
χ101111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1-1-1111111
χ111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-11
χ121111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1-11-1
χ131111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-11111-1-111-1-1-1-11111-1-1
χ141111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ151111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-11
χ161111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11111-1-111-1-1-1-1111-1
χ172222222222-2-2-222220000-2-222-2-20000-2-2-2-2002000000000000000000
χ182222222222-2-2-222220000-2-2-2-222000022-2-200-2000000000000000000
χ192222222222-2-2-2-2-2-2-20000-2-222220000-2-22200-2000000000000000000
χ202222222222-2-2-2-2-2-2-20000-2-2-2-2-2-200002222002000000000000000000
χ21222222-2-2-2-222200002222-2-22-20000002-200-2-2000002-2000000000000
χ22222222-2-2-2-222200002222-2-2-22000000-2200-2-200000-22000000000000
χ23222222-2-2-2-22220000-2-2-2-2-2-22-20000002-2002200000-22000000000000
χ24222222-2-2-2-22220000-2-2-2-2-2-2-22000000-220022000002-2000000000000
χ25222222-2-2-2-2-2-2-200000000222-20022-2-2-22000000000002-20000000000
χ26222222-2-2-2-2-2-2-200000000222-200-2-222-2200000000000-220000000000
χ27222222-2-2-2-2-2-2-20000000022-220022-2-22-200000000000-220000000000
χ28222222-2-2-2-2-2-2-20000000022-2200-2-2222-2000000000002-20000000000
χ292222-2-22-22-2-2-2200002i2i−2i−2i2-20000000000002i−2i0002-20000002i−2i000000
χ302222-2-22-22-2-2-2200002i2i−2i−2i2-20000000000002i−2i000-22000000−2i2i000000
χ312222-2-22-22-2-2-220000−2i−2i2i2i2-2000000000000−2i2i0002-2000000−2i2i000000
χ322222-2-22-22-2-2-220000−2i−2i2i2i2-2000000000000−2i2i000-220000002i−2i000000
χ332222-2-2-22-22-2-2200002i2i−2i−2i-22000000000000−2i2i02-20000002i−2i00000000
χ342222-2-2-22-22-2-2200002i2i−2i−2i-22000000000000−2i2i0-22000000−2i2i00000000
χ352222-2-2-22-22-2-220000−2i−2i2i2i-220000000000002i−2i02-2000000−2i2i00000000
χ362222-2-2-22-22-2-220000−2i−2i2i2i-220000000000002i−2i0-220000002i−2i00000000
χ374444-4-44-44-444-400000000-44000000000000000000000000000000000
χ384444-4-4-44-4444-4000000004-4000000000000000000000000000000000
χ3944-4-44-44-4-44000000000000000000000000000000000000000022−220000
χ4044-4-44-44-4-440000000000000000000000000000000000000000−22220000
χ4144-4-44-4-444-400000000000000000000000000000000000000000022−2200
χ4244-4-44-4-444-4000000000000000000000000000000000000000000−222200
χ4344-4-4-4444-4-40000000000000004-400000000000000000000000000000
χ4444-4-4-4444-4-4000000000000000-4400000000000000000000000000000
χ4544-4-4-44-4-4440004i4i−4i−4i000000000000000000000000000000000000000
χ4644-4-4-44-4-444000−4i−4i4i4i000000000000000000000000000000000000000
χ474-44-40000004i−4i02-22-22+2i−2−2i2−2i−2+2i0000002-22i−2i002i−2i000000000000000000000
χ484-44-40000004i−4i02-22-2−2−2i2+2i−2+2i2−2i000000-22−2i2i002i−2i000000000000000000000
χ494-44-40000004i−4i0-22-222+2i−2−2i2−2i−2+2i000000-22−2i2i00−2i2i000000000000000000000
χ504-44-40000004i−4i0-22-22−2−2i2+2i−2+2i2−2i0000002-22i−2i00−2i2i000000000000000000000
χ514-44-4000000−4i4i02-22-22−2i−2+2i2+2i−2−2i0000002-2−2i2i00−2i2i000000000000000000000
χ524-44-4000000−4i4i02-22-2−2+2i2−2i−2−2i2+2i000000-222i−2i00−2i2i000000000000000000000
χ534-44-4000000−4i4i0-22-222−2i−2+2i2+2i−2−2i000000-222i−2i002i−2i000000000000000000000
χ544-44-4000000−4i4i0-22-22−2+2i2−2i−2−2i2+2i0000002-2−2i2i002i−2i000000000000000000000
χ558-8-880000000004i−4i−4i4i000000000000000000000000000000000000000
χ568-8-88000000000−4i4i4i−4i000000000000000000000000000000000000000

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