Finite Group Databasebeta

← Group #286375

Character table — Group #286375

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444442244444448888888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-111-1-1-11111-1-1-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-11111-1-111
χ91111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-11-1111-1-1-1-1-111-1-1111-1
χ101111111111111111-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-11-1-1-1111-111-1-111-1-1-11
χ111111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1111-1-1-1111-1-111-1-11-1
χ121111111111111111-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-11-1-1-1111-1-111-1-111-11
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1111-1-1-111111-1-1-1-1-11
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-11-1-1-1111-1-1-1-111111-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111-1111-1-1-1-1-1-1-11111-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111-1-1-1111-11111-1-1-1-11-1
χ172222222222-2-2-22-2222-2-222-2-2-200000000000000002-200-20020000000000
χ182222222222-2-2-22-2222-2-222-2-2-20000000000000000-2200200-20000000000
χ192222222222-2-2-22-22-2-222-2-2-2-2200000000000000002200-200-20000000000
χ202222222222-2-2-22-22-2-222-2-2-2-220000000000000000-2-20020020000000000
χ2122222222-2-2222-22-22222-2-2-2-2-222-2-222-2-200000000000000000000000000
χ2222222222-2-2222-22-22222-2-2-2-2-2-2-222-2-22200000000000000000000000000
χ2322222222-2-2222-22-2-2-2-2-222-2-2222-2-2-2-22200000000000000000000000000
χ2422222222-2-2222-22-2-2-2-2-222-2-22-2-22222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2222000000002i2i−2i−2i2i2i−2i−2i000000000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-222200000000−2i−2i2i2i−2i−2i2i2i000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ2922-22-2-2-222-222-2-2-220000002-20000000002i−2i2i−2i0000002i−2i0000002-2000000
χ3022-22-2-2-222-222-2-2-220000002-20000000002i−2i2i−2i000000−2i2i000000-22000000
χ3122-22-2-2-222-222-2-2-220000002-2000000000−2i2i−2i2i0000002i−2i000000-22000000
χ3222-22-2-2-222-222-2-2-220000002-2000000000−2i2i−2i2i000000−2i2i0000002-2000000
χ3322-22-2-2-22-22-2-2222-20000002-20000000002-2-220000000002i−2i000002i−2i0000
χ3422-22-2-2-22-22-2-2222-20000002-20000000002-2-22000000000−2i2i00000−2i2i0000
χ3522-22-2-2-22-22-2-2222-20000002-2000000000-222-20000000002i−2i00000−2i2i0000
χ3622-22-2-2-22-22-2-2222-20000002-2000000000-222-2000000000−2i2i000002i−2i0000
χ37444-4-4-44-4004-440-4000000000000000000000000000000000022−2200000000
χ38444-4-4-44-4004-440-40000000000000000000000000000000000−222200000000
χ39444-4-4-44-400-44-40400000000000000000000000000000000000000002i2−2i200
χ40444-4-4-44-400-44-4040000000000000000000000000000000000000000−2i22i200
χ4144-44-4-4-444-4-4-44-444000000-4400000000000000000000000000000000000
χ4244-44-4-4-44-4444-44-4-4000000-4400000000000000000000000000000000000
χ4344-4-444-4-4004-4-404000000000000004i−4i0000000000000000000000000000
χ4444-4-444-4-4004-4-40400000000000000−4i4i0000000000000000000000000000
χ4544-4-444-4-400-4440-400000000004-400000000000000000000000000000000
χ4644-4-444-4-400-4440-40000000000-4400000000000000000000000000000000
χ474-4444-4-4-44-400040-400000000000000000000022−2222−22000000000000000000
χ484-4444-4-4-44-400040-4000000000000000000000−2222−2222000000000000000000
χ494-4444-4-4-4-44000-4040000000000000000000002i2−2i2−2i22i2000000000000000000
χ504-4444-4-4-4-44000-404000000000000000000000−2i22i22i2−2i2000000000000000000
χ514-44-4-44-4400000000004i−4i00000002i2−2i20022−2200000000000000000000000000
χ524-44-4-44-4400000000004i−4i0000000−2i22i200−222200000000000000000000000000
χ534-44-4-44-440000000000−4i4i00000002i2−2i200−222200000000000000000000000000
χ544-44-4-44-440000000000−4i4i0000000−2i22i20022−2200000000000000000000000000
χ554-4-44-444-444000-40-44-4004-40000000000000000000000000000000000000
χ564-4-44-444-444000-40-4-4400-440000000000000000000000000000000000000
χ574-4-44-444-4-4-40004044-400-440000000000000000000000000000000000000
χ584-4-44-444-4-4-4000404-44004-40000000000000000000000000000000000000
χ598-8-8-88-888000000000000000000000000000000000000000000000000000

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