Finite Group Databasebeta

← Group #264865

Character table — Group #264865

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444888888888888888888161616161616161616161616161616163232
order12222244444444448888444444448888888888222244448888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-1111-1111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111-1-1-11-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-11-1-111-1-11-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111-1-1-11-1-1-11-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1111-11111111-1-111-1-1
χ91111111111111111-1-1-1-111-1-11111-11111-1-1-1-1-111-1-1-11-1-111-1-1-1-1111-1
χ101111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-11-11-11-1-111-1-1-1-1-11
χ111111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-11-111-1-11111-1-111-1-1-11
χ121111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11-1-1-11111111-1
χ131111111111111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-11-11-11-1-1-111-1-111-11
χ141111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-11111-1-1-1-1-1-11-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11-1111-11-1-11111-1-11-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-11111-11
χ17222222-2-22-2-2222-2-222-2-22222000020000-20000-2000-20000000000000
χ18222222-2-22-2-2222-2-222-2-2-2-2-2-2000020000-20000200020000000000000
χ19222222-2-22-2-2222-2-2-2-22222-2-20000-2000020000-200020000000000000
χ20222222-2-22-2-2222-2-2-2-222-2-2220000-20000200002000-20000000000000
χ21222222-2-2-2-2-2-2-2-2220000000022-2-202i2i−2i−2i00000000000000000002i−2i00
χ22222222-2-2-2-2-2-2-2-2220000000022-2-20−2i−2i2i2i0000000000000000000−2i2i00
χ23222222-2-2-2-2-2-2-2-22200000000-2-22202i2i−2i−2i0000000000000000000−2i2i00
χ24222222-2-2-2-2-2-2-2-22200000000-2-2220−2i−2i2i2i00000000000000000002i−2i00
χ252222-2-2222-2-2-2-22-2222-2-200002-22-2-20000200000000000000002-20000
χ262222-2-2222-2-2-2-22-2222-2-20000-22-22-2000020000000000000000-220000
χ272222-2-2222-2-2-2-22-22-2-22200002-22-220000-20000000000000000-220000
χ282222-2-2222-2-2-2-22-22-2-2220000-22-2220000-200000000000000002-20000
χ292222-2-2-2-2222-2-222-2222200000000-20000-2000002-200-2200000000000
χ302222-2-2-2-2222-2-222-2222200000000-20000-200000-22002-200000000000
χ312222-2-2-2-2222-2-222-2-2-2-2-200000000200002000002200-2-200000000000
χ322222-2-2-2-2222-2-222-2-2-2-2-20000000020000200000-2-2002200000000000
χ332222-2-2-2-2-22222-2-22000000002-2-2200000022-2-20002000-20000000000
χ342222-2-2-2-2-22222-2-22000000002-2-22000000-2-222000-200020000000000
χ352222-2-2-2-2-22222-2-2200000000-222-200000022-2-2000-200020000000000
χ362222-2-2-2-2-22222-2-2200000000-222-2000000-2-2220002000-20000000000
χ3744444444-444-4-4-4-4-40000000000000000000000000000000000000000
χ384444-4-444-4-4-444-44-40000000000000000000000000000000000000000
χ3944-4-4000004-4000002i2−2i22i2−2i20000000002-22-20002i2−2i2000000000000000000
χ4044-4-4000004-4000002i2−2i22i2−2i2000000000-22-22000−2i22i2000000000000000000
χ4144-4-4000004-400000−2i22i2−2i22i20000000002-22-2000−2i22i2000000000000000000
χ4244-4-4000004-400000−2i22i2−2i22i2000000000-22-220002i2−2i2000000000000000000
χ4344-4-400000-44000002i2−2i2−2i22i20000000002i−2i−2i2i022−2200000000000000000000
χ4444-4-400000-44000002i2−2i2−2i22i2000000000−2i2i2i−2i0−222200000000000000000000
χ4544-4-400000-4400000−2i22i22i2−2i20000000002i−2i−2i2i0−222200000000000000000000
χ4644-4-400000-4400000−2i22i22i2−2i2000000000−2i2i2i−2i022−2200000000000000000000
χ474-4-444-4004004-4-4000000004i−4i00000000000000000000000000000000
χ484-4-444-4004004-4-400000000−4i4i00000000000000000000000000000000
χ494-4-444-400-400-444000000000000000000000000000000000022−22000000
χ504-4-444-400-400-4440000000000000000000000000000000000−2222000000
χ514-4-44-4400400-44-40000004i−4i0000000000000000000000000000000000
χ524-4-44-4400400-44-4000000−4i4i0000000000000000000000000000000000
χ534-4-44-4400-4004-440000000000000000000000000000000022−2200000000
χ544-4-44-4400-4004-4400000000000000000000000000000000−222200000000
χ558-88-8008i−8i000000000000000000000000000000000000000000000000
χ568-88-800−8i8i000000000000000000000000000000000000000000000000

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