Finite Group Databasebeta

← Group #264883

Character table — Group #264883

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444888888888888888888161616161616161616161616161616163232
order12222244444444448888444444448888888888222444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-111-11111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111-1-11-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-11-111-1-1-11-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111-1-11-1-1-1-11-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111111111-11-1-1111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-111-111111111-1-111-1-1
χ91111111111111111-1-1-1-111-1-11111-11111-1-1-1-1-111-1-11-1-1-111-1-1-1-1111-1
χ101111111111111111-1-1-1-111-1-11111-1-1-1-1-1-11111111-11-1-11-1-111-1-1-1-1-11
χ111111111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111111-1-111-1-1-11
χ121111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-11111111-1
χ131111111111111111-1-1-1-1-1-1111111-11111-1-1-1-1-1-1-1-11-111-1-1-111-1-111-11
χ141111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-111111-1-1-1-1-1-11-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11111-1-11-1-11111-1-11-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-111-1-1-111-1-11111-11
χ1722222222-2-2-2-222-2-222-2-22222000020000-20000-200-200000000000000
χ1822222222-2-2-2-222-2-222-2-2-2-2-2-2000020000-20000200200000000000000
χ1922222222-2-2-2-222-2-2-2-22222-2-20000-2000020000-200200000000000000
χ2022222222-2-2-2-222-2-2-2-222-2-2220000-2000020000200-200000000000000
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
χ252222-2-22-2-2-2222-2-22000000002-22-200000022-2-20020000-20000000000
χ262222-2-22-2-2-2222-2-22000000002-22-2000000-2-22200-2000020000000000
χ272222-2-22-2-2-2222-2-2200000000-22-2200000022-2-200-2000020000000000
χ282222-2-22-2-2-2222-2-2200000000-22-22000000-2-2220020000-20000000000
χ292222-2-2-2222-2-2-22-2222-2-200002-2-22-20000200000000000000002-20000
χ302222-2-2-2222-2-2-22-2222-2-20000-222-2-2000020000000000000000-220000
χ312222-2-2-2222-2-2-22-22-2-22200002-2-2220000-20000000000000000-220000
χ322222-2-2-2222-2-2-22-22-2-2220000-222-220000-200000000000000002-20000
χ332222-2-2-22-2-222-222-2222200000000-20000-200000200-22-200000000000
χ342222-2-2-22-2-222-222-2222200000000-20000-200000-2002-2200000000000
χ352222-2-2-22-2-222-222-2-2-2-2-20000000020000200000200-2-2200000000000
χ362222-2-2-22-2-222-222-2-2-2-2-20000000020000200000-20022-200000000000
χ37444444-4-44444-4-4-4-40000000000000000000000000000000000000000
χ384444-4-44-444-4-44-44-40000000000000000000000000000000000000000
χ3944-4-40000004-400002i2−2i22i2−2i20000000002-22-20002i2−2i2000000000000000000
χ4044-4-40000004-400002i2−2i22i2−2i2000000000-22-22000−2i22i2000000000000000000
χ4144-4-40000004-40000−2i22i2−2i22i20000000002-22-2000−2i22i2000000000000000000
χ4244-4-40000004-40000−2i22i2−2i22i2000000000-22-220002i2−2i2000000000000000000
χ4344-4-4000000-4400002i2−2i2−2i22i20000000002i−2i−2i2i022−2200000000000000000000
χ4444-4-4000000-4400002i2−2i2−2i22i2000000000−2i2i2i−2i0−222200000000000000000000
χ4544-4-4000000-440000−2i22i22i2−2i20000000002i−2i−2i2i0−222200000000000000000000
χ4644-4-4000000-440000−2i22i22i2−2i2000000000−2i2i2i−2i022−2200000000000000000000
χ474-44-44-4440000-4-4000000000000000000000000000000000022−22000000
χ484-44-44-4440000-4-40000000000000000000000000000000000−2222000000
χ494-44-44-4-4-4000044000000004-400000000000000000000000000000000
χ504-44-44-4-4-400004400000000-4400000000000000000000000000000000
χ514-44-4-444-40000-440000004i−4i0000000000000000000000000000000000
χ524-44-4-444-40000-44000000−4i4i0000000000000000000000000000000000
χ534-44-4-44-4400004-4000000000000000000000000000000002i2−2i200000000
χ544-44-4-44-4400004-400000000000000000000000000000000−2i22i200000000
χ558-8-8800008i−8i0000000000000000000000000000000000000000000000
χ568-8-880000−8i8i0000000000000000000000000000000000000000000000

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