Finite Group Databasebeta

← Group #264885

Character table — Group #264885

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444888888888888888888161616161616161616161616161616163232
order12222244444444448888444444448888888888224444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-11-111111-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111-11-1-1-1-1-11-1-1-1-11111-1-1
χ4111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111111111111111-1-1-1-111111111111111-1-1-111-1-1-11111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111111-1-1-1-11-1-1-1-1-11-111-1-11-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1111-1-11111111-1-111-1-1
χ91111111111111111-1-1-1-1111111-1-1-11111-1-1-1-1-11-1-11-11-1-111-1-1-1-1111-1
χ101111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-11-11-11-1-111-1-1-1-1-11
χ111111111111111111-1-1-1-11111-1-111-11111-1-1-1-1-1-1-11-11-11-1-1-111-1-111-11
χ121111111111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-111-11-11111-1-1-1-1-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1111-1-11111-1-111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-11111111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1-111-11-1-11111-1-11-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-111-1-111-1-11111-11
χ17222222-22-2-22-222-2-222-2-20000222220000-20000000-2-20000000000000
χ18222222-22-2-22-222-2-222-2-20000-2-2-2-220000-20000000220000000000000
χ19222222-22-2-22-222-2-2-2-222000022-2-2-2000020000000-220000000000000
χ20222222-22-2-22-222-2-2-2-2220000-2-222-20000200000002-20000000000000
χ21222222-2-2-2-2-2-2-2-22200002-22-2000002i2i−2i−2i00000000000000000002i−2i00
χ22222222-2-2-2-2-2-2-2-22200002-22-200000−2i−2i2i2i0000000000000000000−2i2i00
χ23222222-2-2-2-2-2-2-2-2220000-22-22000002i2i−2i−2i0000000000000000000−2i2i00
χ24222222-2-2-2-2-2-2-2-2220000-22-2200000−2i−2i2i2i00000000000000000002i−2i00
χ252222-2-222-2-2-222-2-22000022-2-2000000000022-2-20200000-20000000000
χ262222-2-222-2-2-222-2-22000022-2-20000000000-2-2220-20000020000000000
χ272222-2-222-2-2-222-2-220000-2-222000000000022-2-20-20000020000000000
χ282222-2-222-2-2-222-2-220000-2-2220000000000-2-2220200000-20000000000
χ292222-2-22-2-2-222-222-2222200000000-20000-2000020200-2-200000000000
χ302222-2-22-2-2-222-222-2222200000000-20000-20000-20-2002200000000000
χ312222-2-22-2-2-222-222-2-2-2-2-200000000200002000020-200-2200000000000
χ322222-2-22-2-2-222-222-2-2-2-2-2000000002000020000-202002-200000000000
χ332222-2-2-2-2222-2-22-2222-2-22-2-220000-20000200000000000000002-20000
χ342222-2-2-2-2222-2-22-2222-2-2-222-20000-2000020000000000000000-220000
χ352222-2-2-2-2222-2-22-22-2-2222-2-22000020000-20000000000000000-220000
χ362222-2-2-2-2222-2-22-22-2-222-222-2000020000-200000000000000002-20000
χ374444444-444-44-4-4-4-40000000000000000000000000000000000000000
χ384444-4-4-4444-4-44-44-40000000000000000000000000000000000000000
χ3944-4-40040000-4000022−2222−220000000002-22-2022−2200000000000000000000
χ4044-4-40040000-4000022−2222−22000000000-22-220−222200000000000000000000
χ4144-4-40040000-40000−2222−22220000000002-22-20−222200000000000000000000
χ4244-4-40040000-40000−2222−2222000000000-22-22022−2200000000000000000000
χ4344-4-400-400004000022−22−22220000000002i−2i−2i2i0002i2−2i2000000000000000000
χ4444-4-400-400004000022−22−2222000000000−2i2i2i−2i000−2i22i2000000000000000000
χ4544-4-400-4000040000−222222−220000000002i−2i−2i2i000−2i22i2000000000000000000
χ4644-4-400-4000040000−222222−22000000000−2i2i2i−2i0002i2−2i2000000000000000000
χ474-44-44-4040040-4-4000000000000000000000000000000000022−22000000
χ484-44-44-4040040-4-40000000000000000000000000000000000−2222000000
χ494-44-44-40-400-40440000000000004-40000000000000000000000000000
χ504-44-44-40-400-4044000000000000-440000000000000000000000000000
χ514-44-4-440400-40-4400000000004i−4i000000000000000000000000000000
χ524-44-4-440400-40-440000000000−4i4i000000000000000000000000000000
χ534-44-4-440-400404-4000000000000000000000000000000002i2−2i200000000
χ544-44-4-440-400404-400000000000000000000000000000000−2i22i200000000
χ558-8-8800008i−8i0000000000000000000000000000000000000000000000
χ568-8-880000−8i8i0000000000000000000000000000000000000000000000

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