Finite Group Databasebeta

← Group #294739

Character table — Group #294739

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444224444444444888888884444448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111-1-11-1-111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111111-1-1-1-1111111-1-1-111-111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-1111111-1-1-111-111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ111111111111111111-1-1-1-1111111-1-1-111-1-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-11
χ121111111111111111-1-1-1-1111111-1-1-111-1-1-111-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11-1-1-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-1-1-11111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1-1-11
χ172222222222-2-222-2-222220000-2-200-200-222220000000000-2-200000000000000
χ182222222222-2-222-2-222220000-2-200-200-2-2-2-2-200000000002200000000000000
χ192222222222-2-222-2-2-2-2-2-20000-2-200200222-2-20000000000-2200000000000000
χ202222222222-2-222-2-2-2-2-2-20000-2-2002002-2-22200000000002-200000000000000
χ2122222222-2-222-2-22222-2-22222-2-2-2-22-2-2-2000022000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-2-222222-20000-2-2000000000000000000000000
χ2322222222-2-222-2-222-2-2222222-2-222-2-2-220000-2-2000000000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2222000022000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-200002200-200200000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-200002200-20020000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200002200200-200000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200002200200-20000000000000000-222-20000000000
χ2922-2-2-22-222-2222-2-2-200002i2i−2i−2i2-20002i−2i0000000000022-2-2000000002i−2i000000
χ3022-2-2-22-222-2222-2-2-200002i2i−2i−2i2-20002i−2i00000000000-2-22200000000−2i2i000000
χ3122-2-2-22-222-2222-2-2-20000−2i−2i2i2i2-2000−2i2i0000000000022-2-200000000−2i2i000000
χ3222-2-2-22-222-2222-2-2-20000−2i−2i2i2i2-2000−2i2i00000000000-2-222000000002i−2i000000
χ3322-2-2-22-22-2222-22-2-200002i2i−2i−2i-22000−2i2i000000022-2-200000000002i−2i00000000
χ3422-2-2-22-22-2222-22-2-200002i2i−2i−2i-22000−2i2i0000000-2-2220000000000−2i2i00000000
χ3522-2-2-22-22-2222-22-2-20000−2i−2i2i2i-220002i−2i000000022-2-20000000000−2i2i00000000
χ3622-2-2-22-22-2222-22-2-20000−2i−2i2i2i-220002i−2i0000000-2-22200000000002i−2i00000000
χ37444-4-4-44-400000000004-40000000000000000002-22-22-22-20000000000000000
χ38444-4-4-44-400000000004-4000000000000000000-22-22-22-220000000000000000
χ39444-4-4-44-40000000000-440000000000000000002-22-2-22-220000000000000000
χ40444-4-4-44-40000000000-44000000000000000000-22-222-22-20000000000000000
χ4144-444-4-4-4000000004-4000000000000000000002-2-222-2-220000000000000000
χ4244-444-4-4-4000000004-400000000000000000000-222-2-222-20000000000000000
χ4344-444-4-4-400000000-44000000000000000000002-2-22-222-20000000000000000
χ4444-444-4-4-400000000-4400000000000000000000-222-22-2-220000000000000000
χ4544-4-4-44-444-4-4-44-44400000000-44000000000000000000000000000000000000
χ4644-4-4-44-44-44-4-4-4444000000004-4000000000000000000000000000000000000
χ474-444-4-4-44004-4004-4000000000000000000004i−4i000000000000000000000000
χ484-444-4-4-44004-4004-400000000000000000000−4i4i000000000000000000000000
χ494-444-4-4-4400-4400-4400004i−4i4i−4i00000000000000000000000000000000000000
χ504-444-4-4-4400-4400-440000−4i4i−4i4i00000000000000000000000000000000000000
χ514-44-444-4-44400-4-40000000000000000000000000000000000000000000022−2200
χ524-44-444-4-44400-4-400000000000000000000000000000000000000000000−222200
χ534-44-444-4-4-4-400440000000000000000000000000000000000000000002i2−2i20000
χ544-44-444-4-4-4-40044000000000000000000000000000000000000000000−2i22i20000
χ554-4-44-444-44-400-440000000000000000004i−4i0000000000000000000000000000
χ564-4-44-444-44-400-44000000000000000000−4i4i0000000000000000000000000000
χ574-4-44-444-4-44004-4000000000000000000004i−4i00000000000000000000000000
χ584-4-44-444-4-44004-400000000000000000000−4i4i00000000000000000000000000
χ594-4-4-44-444004-400-4400000000004-40000000000000000000000000000000000
χ604-4-4-44-444004-400-440000000000-440000000000000000000000000000000000
χ614-4-4-44-44400-44004-400004-4-4400000000000000000000000000000000000000
χ624-4-4-44-44400-44004-40000-444-400000000000000000000000000000000000000

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