Finite Group Databasebeta

← Group #264862

Character table — Group #264862

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444888888888888888888161616161616161616161616161616163232
order12222244444444448888224444448888888888224444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11-111111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111-11-1-1-1-1-11-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111111111111111-1-1-1-1111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-11111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1111111111-1-111-1-1
χ91111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-111-1-1-111-1-1-1-1111-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-111-1-11-1-111-1-1-1-1-11
χ111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-111-1-111-11
χ121111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-111-1-111111-1-1-1-1-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111111-1-111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-11111111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-11-1-11111-1-11-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1-111-1-11111-11
χ17222222-2-222-2-222-2-222-2-20000222200002-20000-20-2000000000000000
χ18222222-2-222-2-222-2-222-2-20000-2-2-2-200002-20000202000000000000000
χ19222222-2-222-2-222-2-2-2-222000022-2-20000-220000-202000000000000000
χ20222222-2-222-2-222-2-2-2-2220000-2-2220000-22000020-2000000000000000
χ21222222-2-2-2-2-2-2-2-22200002-22-200002i2i−2i−2i000000000000000000002i−2i00
χ22222222-2-2-2-2-2-2-2-22200002-22-20000−2i−2i2i2i00000000000000000000−2i2i00
χ23222222-2-2-2-2-2-2-2-2220000-22-2200002i2i−2i−2i00000000000000000000−2i2i00
χ24222222-2-2-2-2-2-2-2-2220000-22-220000−2i−2i2i2i000000000000000000002i−2i00
χ252222-2-222-2-2-2-222-2222-2-22-2-2200000000-2200000000000000002-20000
χ262222-2-222-2-2-2-222-2222-2-2-222-200000000-220000000000000000-220000
χ272222-2-222-2-2-2-222-22-2-2222-2-22000000002-20000000000000000-220000
χ282222-2-222-2-2-2-222-22-2-222-222-2000000002-200000000000000002-20000
χ292222-2-2-2-22222-2-2-22000022-2-2000000000022-2-20200000-20000000000
χ302222-2-2-2-22222-2-2-22000022-2-20000000000-2-2220-20000020000000000
χ312222-2-2-2-22222-2-2-220000-2-222000000000022-2-20-20000020000000000
χ322222-2-2-2-22222-2-2-220000-2-2220000000000-2-2220200000-20000000000
χ332222-2-2-2-2-2-222222-22222000000000000-2-200000002-22-200000000000
χ342222-2-2-2-2-2-222222-22222000000000000-2-20000000-22-2200000000000
χ352222-2-2-2-2-2-222222-2-2-2-2-20000000000002200000002-2-2200000000000
χ362222-2-2-2-2-2-222222-2-2-2-2-2000000000000220000000-222-200000000000
χ3744444444-4-444-4-4-4-40000000000000000000000000000000000000000
χ384444-4-44444-4-4-4-44-40000000000000000000000000000000000000000
χ3944-4-40000004-400002i2−2i22i2−2i2000000002-22-200002i2−2i2000000000000000000
χ4044-4-40000004-400002i2−2i22i2−2i200000000-22-220000−2i22i2000000000000000000
χ4144-4-40000004-40000−2i22i2−2i22i2000000002-22-20000−2i22i2000000000000000000
χ4244-4-40000004-40000−2i22i2−2i22i200000000-22-2200002i2−2i2000000000000000000
χ4344-4-4000000-4400002i2−2i2−2i22i2000000002i−2i−2i2i0022−2200000000000000000000
χ4444-4-4000000-4400002i2−2i2−2i22i200000000−2i2i2i−2i00−222200000000000000000000
χ4544-4-4000000-440000−2i22i22i2−2i2000000002i−2i−2i2i00−222200000000000000000000
χ4644-4-4000000-440000−2i22i22i2−2i200000000−2i2i2i−2i0022−2200000000000000000000
χ474-44-44-4004-4004-40000000000004i−4i0000000000000000000000000000
χ484-44-44-4004-4004-4000000000000−4i4i0000000000000000000000000000
χ494-44-44-400-4400-4400000000000000000000000000000000002i2−2i2000000
χ504-44-44-400-4400-440000000000000000000000000000000000−2i22i2000000
χ514-44-4-44004-400-44000000000000000000000000000000002i2−2i200000000
χ524-44-4-44004-400-4400000000000000000000000000000000−2i22i200000000
χ534-44-4-4400-44004-400000000004i−4i000000000000000000000000000000
χ544-44-4-4400-44004-40000000000−4i4i000000000000000000000000000000
χ558-8-88008i−8i000000000000000000000000000000000000000000000000
χ568-8-8800−8i8i000000000000000000000000000000000000000000000000

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