Finite Group Databasebeta

← Group #294756

Character table — Group #294756

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444444444224444444444888888884444448888888824
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
χ511111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ611111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-11
χ711111111111111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-11-1-11111-1-1-1-111-11
χ811111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ91111111111111111-1-1-1-1111111-1-111-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
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
χ172222222222-2-222-2-2222222-2-2-2-2222-2-2-20000-2-2000000000000000000000000
χ182222222222-2-222-2-22222-2-222-2-2-2-2-22-2-2000022000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-222-2-2-2-2-2-22-222000022000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-222-2-222-22220000-2-2000000000000000000000000
χ2122222222-2-222-2-22200002222-2-200-2-20022220000000000-2-200000000000000
χ2222222222-2-222-2-22200002222-2-200-2-200-2-2-2-200000000002200000000000000
χ2322222222-2-222-2-2220000-2-2-2-2-2-200220022-2-20000000000-2200000000000000
χ2422222222-2-222-2-2220000-2-2-2-2-2-2002200-2-22200000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-2000022-2-22200-220000000000000000002-22-20000000000
χ2622222222-2-2-2-2-2-2-2-2000022-2-22200-22000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-22222002-20000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-22222002-2000000000000000000-222-20000000000
χ2922-2-22-2-22222-2-2-22-22i2i−2i−2i00002-200002i−2i000000000022-2-2000000002i−2i000000
χ3022-2-22-2-22222-2-2-22-22i2i−2i−2i00002-200002i−2i0000000000-2-22200000000−2i2i000000
χ3122-2-22-2-22222-2-2-22-2−2i−2i2i2i00002-20000−2i2i000000000022-2-200000000−2i2i000000
χ3222-2-22-2-22222-2-2-22-2−2i−2i2i2i00002-20000−2i2i0000000000-2-222000000002i−2i000000
χ3322-2-22-2-2222-22-2-2-222i2i−2i−2i0000-220000−2i2i00000022-2-200000000002i−2i00000000
χ3422-2-22-2-2222-22-2-2-222i2i−2i−2i0000-220000−2i2i000000-2-2220000000000−2i2i00000000
χ3522-2-22-2-2222-22-2-2-22−2i−2i2i2i0000-2200002i−2i00000022-2-20000000000−2i2i00000000
χ3622-2-22-2-2222-22-2-2-22−2i−2i2i2i0000-2200002i−2i000000-2-22200000000002i−2i00000000
χ374444-4-4-4-44-4004-40000000000004-40000000000000000000000000000000000
χ384444-4-4-4-44-4004-4000000000000-440000000000000000000000000000000000
χ394444-4-4-4-4-4400-44004-44-4000000000000000000000000000000000000000000
χ404444-4-4-4-4-4400-4400-44-44000000000000000000000000000000000000000000
χ4144-4-44-4-44-4-44-4444-400000000-44000000000000000000000000000000000000
χ4244-4-44-4-44-4-4-4444-44000000004-4000000000000000000000000000000000000
χ4344-4-4-444-44-400-4400000000000000000000004i−4i000000000000000000000000
χ4444-4-4-444-44-400-440000000000000000000000−4i4i000000000000000000000000
χ4544-4-4-444-4-44004-4004i−4i−4i4i000000000000000000000000000000000000000000
χ4644-4-4-444-4-44004-400−4i4i4i−4i000000000000000000000000000000000000000000
χ474-44-44-44-4000000000000004-4000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ484-44-44-44-4000000000000004-400000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ494-44-44-44-400000000000000-44000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ504-44-44-44-400000000000000-4400000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ514-44-4-44-44004400-4-400000000000000000000000000000000000000002i2−2i20000
χ524-44-4-44-44004400-4-40000000000000000000000000000000000000000−2i22i20000
χ534-44-4-44-4400-4-4004400000000000000000000000000000000000000000022−2200
χ544-44-4-44-4400-4-40044000000000000000000000000000000000000000000−222200
χ554-4-4444-4-40000000000004-400000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ564-4-4444-4-40000000000004-40000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ574-4-4444-4-4000000000000-4400000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ584-4-4444-4-4000000000000-440000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ594-4-44-4-444004-400-440000000000000000004-400000000000000000000000000
χ604-4-44-4-444004-400-44000000000000000000-4400000000000000000000000000
χ614-4-44-4-44400-44004-400000000000000004-40000000000000000000000000000
χ624-4-44-4-44400-44004-40000000000000000-440000000000000000000000000000

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