Finite Group Databasebeta

← Group #277366

Character table — Group #277366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444442222448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-11-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1111-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-11111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-1111-1
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-11-1-111-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-111-1-1-1-111111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-11111-1-111-1-1-1-1-11
χ172222222222-2-22-2-220000-2-22222002222-2-20000000000000-2-20000000000000
χ182222222222-2-22-2-220000-2-2222200-2-2-2-2-2-20000000000000220000000000000
χ192222222222-2-22-2-220000-2-2-2-2-2-20022-2-2220000000000000-220000000000000
χ202222222222-2-22-2-220000-2-2-2-2-2-200-2-2222200000000000002-20000000000000
χ2122222222-2-222-222-22222-2-20000-2-200000022-2-200000000200-2000000000000
χ2222222222-2-222-222-22222-2-20000-2-2000000-2-22200000000-2002000000000000
χ2322222222-2-222-222-2-2-2-2-2-2-200002200000022-2-200000000-2002000000000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000022000000-2-22200000000200-2000000000000
χ2522-222-2-2-22-200-200200000022-2-2002i−2i2i−2i002−22−2000022−2−200000000i2−i2i2−i20000
χ2622-222-2-2-22-200-200200000022-2-2002i−2i2i−2i00−22−220000−2−22200000000−i2i2−i2i20000
χ2722-222-2-2-22-200-200200000022-2-200−2i2i−2i2i002−22−2000022−2−200000000−i2i2−i2i20000
χ2822-222-2-2-22-200-200200000022-2-200−2i2i−2i2i00−22−220000−2−22200000000i2−i2i2−i20000
χ2922-222-2-2-22-200-2002000000-2-222002i−2i−2i2i002−22−20000−2−22200000000i2−i2−i2i20000
χ3022-222-2-2-22-200-2002000000-2-222002i−2i−2i2i00−22−22000022−2−200000000−i2i2i2−i20000
χ3122-222-2-2-22-200-2002000000-2-22200−2i2i2i−2i002−22−20000−2−22200000000−i2i2i2−i20000
χ3222-222-2-2-22-200-2002000000-2-22200−2i2i2i−2i00−22−22000022−2−200000000i2−i2−i2i20000
χ332-2-2-2222-222-2-2-222-222-2-22-200002-2000000000000002i−2i2i−2i0000000000002i−2i00
χ342-2-2-2222-222-2-2-222-222-2-22-200002-200000000000000−2i2i−2i2i000000000000−2i2i00
χ352-2-2-2222-222-2-2-222-2-2-2222-20000-22000000000000002i−2i2i−2i000000000000−2i2i00
χ362-2-2-2222-222-2-2-222-2-2-2222-20000-2200000000000000−2i2i−2i2i0000000000002i−2i00
χ372-2-2-2222-2-2-2222-2-2200002-22-22-20000002-200000000000000002i−2i2i−2i00000000
χ382-2-2-2222-2-2-2222-2-2200002-22-22-20000002-20000000000000000−2i2i−2i2i00000000
χ392-2-2-2222-2-2-2222-2-2200002-2-22-22000000-2200000000000000002i−2i−2i2i00000000
χ402-2-2-2222-2-2-2222-2-2200002-2-22-22000000-220000000000000000−2i2i2i−2i00000000
χ412-2-2-2222-2-2-2-2-2222222-2-2-222-22-2-220000-22000022-2-200000000000000000000
χ422-2-2-2222-2-2-2-2-2222222-2-2-22-22-22-2200002-20000-2-22200000000000000000000
χ432-2-2-2222-2-2-2-2-22222-2-222-222-22-22-20000-220000-2-22200000000000000000000
χ442-2-2-2222-2-2-2-2-22222-2-222-22-22-222-200002-2000022-2-200000000000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-44-4-4004-404-40000000000000000000000022−2222−2200000000000000000000
χ47444-4-44-4-4004-404-400000000000000000000000−2222−222200000000000000000000
χ48444-4-44-4-400-440-4404-44-4000000000000000000000000000000000000000000
χ49444-4-44-4-400-440-440-44-44000000000000000000000000000000000000000000
χ5044-444-4-4-4-4400400-400000000000000000022−22−2222000000000000000000000000
χ5144-444-4-4-4-4400400-4000000000000000000−222222−22000000000000000000000000
χ524-44-44-4-444-400400-4000000000000000000000000002i2−2i2−2i22i20000000000000000
χ534-44-44-4-444-400400-400000000000000000000000000−2i22i22i2−2i20000000000000000
χ544-44-44-4-44-4400-40040000004-4-44000000000000000000000000000000000000
χ554-44-44-4-44-4400-4004000000-444-4000000000000000000000000000000000000
χ564-4-44-44-44004-40-4404-4-44000000000000000000000000000000000000000000
χ574-4-44-44-44004-40-440-444-4000000000000000000000000000000000000000000
χ584-4-44-44-4400-4404-40000000000000000000000022−22−222200000000000000000000
χ594-4-44-44-4400-4404-400000000000000000000000−222222−2200000000000000000000
χ604-4-4-4444-44444-4-4-4-40000-440000000000000000000000000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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