Finite Group Databasebeta

← Group #277411

Character table — Group #277411

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444442222448888444444888888888888882444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111-1-11-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-11
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11-111-1-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1111111-1-11-1
χ91111111111111111-1-1-1-1111111-1-111111111-1-1-1-1111111-111-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
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
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-11-1-111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-111-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-11111-1-1-1-111-1-1-11
χ172222222222-2-22-22-20000-2-22222002222-2-20000000000000-2-20000000000000
χ182222222222-2-22-22-20000-2-2222200-2-2-2-2-2-20000000000000220000000000000
χ192222222222-2-22-22-20000-2-2-2-2-2-20022-2-2220000000000000-220000000000000
χ202222222222-2-22-22-20000-2-2-2-2-2-200-2-2222200000000000002-20000000000000
χ2122222222-2-222-22-222222-2-20000-2-2000000220000-2-20000-2002000000000000
χ2222222222-2-222-22-222222-2-20000-2-2000000-2-20000220000200-2000000000000
χ2322222222-2-222-22-22-2-2-2-2-2-2000022000000220000-2-20000200-2000000000000
χ2422222222-2-222-22-22-2-2-2-2-2-2000022000000-2-20000220000-2002000000000000
χ2522-2-222-2-222-2-2-22-2222-2-22-200002-2000000000000002i2i−2i−2i000000002i−2i000000
χ2622-2-222-2-222-2-2-22-2222-2-22-200002-200000000000000−2i−2i2i2i00000000−2i2i000000
χ2722-2-222-2-222-2-2-22-22-2-2222-20000-22000000000000002i2i−2i−2i00000000−2i2i000000
χ2822-2-222-2-222-2-2-22-22-2-2222-20000-2200000000000000−2i−2i2i2i000000002i−2i000000
χ2922-2-222-2-2-2-2222-22-200002-222-2-20000002-200000000000000002i−2i2i−2i00000000
χ3022-2-222-2-2-2-2222-22-200002-222-2-20000002-20000000000000000−2i2i−2i2i00000000
χ3122-2-222-2-2-2-2222-22-200002-2-2-222000000-2200000000000000002i−2i−2i2i00000000
χ3222-2-222-2-2-2-2222-22-200002-2-2-222000000-220000000000000000−2i2i2i−2i00000000
χ3322-2-222-2-2-2-2-2-2222222-2-2-2222-2-2-220000-220022-2-20000000000000000000000
χ3422-2-222-2-2-2-2-2-2222222-2-2-22-2-222-2200002-200-2-2220000000000000000000000
χ3522-2-222-2-2-2-2-2-22222-2-222-2222-2-22-20000-2200-2-2220000000000000000000000
χ3622-2-222-2-2-2-2-2-22222-2-222-22-2-2222-200002-20022-2-20000000000000000000000
χ372-22-22-22-22-20020-200000002i−2i2i−2i002-22i−2i002−200002−2i2−i2i2−i200000000002−2i2−i200
χ382-22-22-22-22-20020-200000002i−2i2i−2i002-22i−2i00−220000−22−i2i2−i2i20000000000−22−i2i200
χ392-22-22-22-22-20020-200000002i−2i2i−2i00-22−2i2i002−200002−2i2−i2i2−i20000000000−22−i2i200
χ402-22-22-22-22-20020-200000002i−2i2i−2i00-22−2i2i00−220000−22−i2i2−i2i200000000002−2i2−i200
χ412-22-22-22-22-20020-20000000−2i2i−2i2i002-2−2i2i002−200002−2−i2i2−i2i200000000002−2−i2i200
χ422-22-22-22-22-20020-20000000−2i2i−2i2i002-2−2i2i00−220000−22i2−i2i2−i20000000000−22i2−i200
χ432-22-22-22-22-20020-20000000−2i2i−2i2i00-222i−2i002−200002−2−i2i2−i2i20000000000−22i2−i200
χ442-22-22-22-22-20020-20000000−2i2i−2i2i00-222i−2i00−220000−22i2−i2i2−i200000000002−2−i2i200
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ4644-4-444-4-44444-4-4-4-40000-440000000000000000000000000000000000000000
χ474-44-44-44-4-4400-404000000000000000000022−220000−222200000000000000000000
χ484-44-44-44-4-4400-4040000000000000000000−2222000022−2200000000000000000000
χ494-44-4-44-44004-4040-4000000000000000000002i2−2i22i2−2i20000000000000000000000
χ504-44-4-44-44004-4040-400000000000000000000−2i22i2−2i22i20000000000000000000000
χ514-44-4-44-4400-440-4044-44-4000000000000000000000000000000000000000000
χ524-44-4-44-4400-440-404-44-44000000000000000000000000000000000000000000
χ534-4-444-4-444-400-40400000000000000000000000000022−22−22220000000000000000
χ544-4-444-4-444-400-404000000000000000000000000000−222222−220000000000000000
χ554-4-444-4-44-440040-400000004i−4i−4i4i000000000000000000000000000000000000
χ564-4-444-4-44-440040-40000000−4i4i4i−4i000000000000000000000000000000000000
χ574-4-44-444-4004-40-4044-4-44000000000000000000000000000000000000000000
χ584-4-44-444-4004-40-404-444-4000000000000000000000000000000000000000000
χ594-4-44-444-400-44040-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ604-4-44-444-400-44040-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ618888-8-8-8-8000000000000000000000000000000000000000000000000000000
χ6288-8-8-8-888000000000000000000000000000000000000000000000000000000

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