Finite Group Databasebeta

← Group #263264

Character table — Group #263264

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222222244444488888888888888888888881616161616161616161632323232
order12222244444444448888224444444444888888888822244444888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-111
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-11-1-111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-111-1-1-111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111-1-11-1-1-1-111
χ91111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-11-1-11-11-1-11-11-1
χ101111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-11-11
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111-11-1-11-11-1-1-11-11
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-11-111-11-1-1-11-11-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-111-111-1
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111-1-1-111111-1-11
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1111-1-11
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-11111-111-1
χ172222222-2-222-2-22-2-2000022-2-222-2-222-2-2000000000000000000000000
χ182222222-2-222-2-22-2-2000022-2-2-2-222-2-222000000000000000000000000
χ192222222-2-222-2-22-2-20000-2-22222-2-2-2-222000000000000000000000000
χ202222222-2-222-2-22-2-20000-2-222-2-22222-2-2000000000000000000000000
χ21222222-222-2-222-2-2-222222-22-2000000000000-2-20000000000002-20000
χ22222222-222-2-222-2-2-22222-22-22000000000000-2-2000000000000-220000
χ23222222-222-2-222-2-2-2-2-2-2-22-22-200000000000022000000000000-220000
χ24222222-222-2-222-2-2-2-2-2-2-2-22-22000000000000220000000000002-20000
χ25222222-2-2-2-2-2-2-2-22200002-2-22000000002i2i−2i−2i002i2i−2i−2i00000000000000
χ26222222-2-2-2-2-2-2-2-22200002-2-2200000000−2i−2i2i2i00−2i−2i2i2i00000000000000
χ27222222-2-2-2-2-2-2-2-2220000-222-2000000002i2i−2i−2i00−2i−2i2i2i00000000000000
χ28222222-2-2-2-2-2-2-2-2220000-222-200000000−2i−2i2i2i002i2i−2i−2i00000000000000
χ292222-2-22-2-2-2-22222-222-2-200000000000000002-2000022000-2-20000000
χ302222-2-22-2-2-2-22222-222-2-200000000000000002-20000-2-2000220000000
χ312222-2-22-2-2-2-22222-2-2-2220000000000000000-2200002-2000-220000000
χ322222-2-22-2-2-2-22222-2-2-2220000000000000000-220000-220002-20000000
χ332222-2-2-2-2-22222-2-2222-2-20000000000000000-2200000022-200-2000000
χ342222-2-2-2-2-22222-2-2222-2-20000000000000000-22000000-2-22002000000
χ352222-2-2-2-2-22222-2-22-2-22200000000000000002-20000002-2200-2000000
χ362222-2-2-2-2-22222-2-22-2-22200000000000000002-2000000-22-2002000000
χ374444-4-4444-4-4-4-44-440000000000000000000000000000000000000000
χ384444-4-4-44444-4-4-44-40000000000000000000000000000000000000000
χ3944-4-400000004-4000004i−4i000000002i−2i2i−2i2-22-200000000000000000000
χ4044-4-400000004-4000004i−4i00000000−2i2i−2i2i-22-2200000000000000000000
χ4144-4-400000004-400000−4i4i000000002i−2i2i−2i-22-2200000000000000000000
χ4244-4-400000004-400000−4i4i00000000−2i2i−2i2i2-22-200000000000000000000
χ4344-4-40000000-440004-400000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ4444-4-40000000-440004-40000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ4544-4-40000000-44000-4400000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ4644-4-40000000-44000-440000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ474-4-444-44004-400-40000000000000000000000002i2−2i22i2−2i200000000000000
χ484-4-444-44004-400-4000000000000000000000000−2i22i2−2i22i200000000000000
χ494-4-444-4-400-4400400000000000000000000000022−22−222200000000000000
χ504-4-444-4-400-44004000000000000000000000000−222222−2200000000000000
χ514-4-44-44400-4400-400000000004i−4i000000000000000000000000000000
χ524-4-44-44400-4400-40000000000−4i4i000000000000000000000000000000
χ534-4-44-44-4004-40040000000000004-40000000000000000000000000000
χ544-4-44-44-4004-4004000000000000-440000000000000000000000000000
χ558-88-80008i−8i00000000000000000000000000000000000000000000000
χ568-88-8000−8i8i00000000000000000000000000000000000000000000000

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