Finite Group Databasebeta

← Group #294751

Character table — Group #294751

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444224444444444888888882244448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-111-1-11111-1-111-1-111111111-1-111-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ91111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-11-1
χ101111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1111-1-111-1-111-11
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-11-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-11-1-111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-111-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11-11111-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-22222-2-2222-200-2-200-2-2000000000000000000000000
χ1822222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-22-200220022000000000000000000000000
χ1922222222222-2-2-2-22-2-2222222-2-2-2-2-2200-2-20022000000000000000000000000
χ2022222222222-2-2-2-22-2-222-2-2-2-2-2-222-22002200-2-2000000000000000000000000
χ2122222222-2-2-22222-222220000-2-200-2-2220022000000000000-2-2000000000000
χ2222222222-2-2-22222-222220000-2-200-2-2-2-200-2-200000000000022000000000000
χ2322222222-2-2-22222-2-2-2-2-20000-2-200222200-2-20000000000002-2000000000000
χ2422222222-2-2-22222-2-2-2-2-20000-2-20022-2-20022000000000000-22000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-200002200-2200000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-200002200-220000000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222000022002-200000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222000022002-20000000000000000-22002-20000000000
χ2922-2-22-2-2222-22-22-2-200002i2i−2i−2i2-20000002i−2i0000000022-2-2000000002i−2i000000
χ3022-2-22-2-2222-22-22-2-200002i2i−2i−2i2-20000002i−2i00000000-2-22200000000−2i2i000000
χ3122-2-22-2-2222-22-22-2-20000−2i−2i2i2i2-2000000−2i2i0000000022-2-200000000−2i2i000000
χ3222-2-22-2-2222-22-22-2-20000−2i−2i2i2i2-2000000−2i2i00000000-2-222000000002i−2i000000
χ3322-2-22-2-2222-2-22-22-200002i2i−2i−2i-22000000−2i2i000022-2-200000000002i−2i00000000
χ3422-2-22-2-2222-2-22-22-200002i2i−2i−2i-22000000−2i2i0000-2-2220000000000−2i2i00000000
χ3522-2-22-2-2222-2-22-22-20000−2i−2i2i2i-220000002i−2i000022-2-20000000000−2i2i00000000
χ3622-2-22-2-2222-2-22-22-20000−2i−2i2i2i-220000002i−2i0000-2-22200000000002i−2i00000000
χ37444-4-44-4-44-440000-400004-44-400000000000000000000000000000000000000
χ38444-4-44-4-44-440000-40000-44-4400000000000000000000000000000000000000
χ39444-4-44-4-4-44-400004000000000000000000004i−4i000000000000000000000000
χ40444-4-44-4-4-44-40000400000000000000000000−4i4i000000000000000000000000
χ4144-44-4-44-44-4-40000400004i−4i−4i4i00000000000000000000000000000000000000
χ4244-44-4-44-44-4-4000040000−4i4i4i−4i00000000000000000000000000000000000000
χ4344-44-4-44-4-4440000-400000000004-40000000000000000000000000000000000
χ4444-44-4-44-4-4440000-40000000000-440000000000000000000000000000000000
χ4544-4-44-4-44-4-444-44-4400000000-44000000000000000000000000000000000000
χ4644-4-44-4-44-4-44-44-444000000004-4000000000000000000000000000000000000
χ474-444-4-4-4400044-4-400000000000000000004i−4i00000000000000000000000000
χ484-444-4-4-4400044-4-40000000000000000000−4i4i00000000000000000000000000
χ494-444-4-4-44000-4-4440000000000000004-4000000000000000000000000000000
χ504-444-4-4-44000-4-444000000000000000-44000000000000000000000000000000
χ514-44-44-44-400000000004-40000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ524-44-44-44-400000000004-4000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ534-44-44-44-40000000000-440000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ544-44-44-44-40000000000-44000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ554-4-4444-4-4000000004-4000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ564-4-4444-4-4000000004-400000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ574-4-4444-4-400000000-44000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ584-4-4444-4-400000000-4400000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ594-4-4-4-44440004-4-440000000000000000000000000000000000000000022−220000
χ604-4-4-4-44440004-4-4400000000000000000000000000000000000000000−22220000
χ614-4-4-4-4444000-444-4000000000000000000000000000000000000000000022−2200
χ624-4-4-4-4444000-444-40000000000000000000000000000000000000000000−222200

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