Finite Group Databasebeta

← Group #250077

Character table — Group #250077

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11112222222244444444444888888888888888888161616161616161616161616161616161632
order12222244444422444448888224444448888888888222222444448888888
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11111-1-1111111-1-1-1-1-11-1-1-1-1-1111-111-1
χ411111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1111-1-1-11-1-11
χ51111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-111-11-1-11-1-11-1-1-1
χ61111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-111-1111
χ71111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-11
χ81111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1111-1-1-111111-1
χ9111111111111-1-11-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-11-1-11111-1-1-111-1-1-11
χ10111111111111-1-11-1-111111111-1-111-1-1111111-1-1-1-1-1-11-1-1-1-11-1111-1-1111-1
χ11111111111111-1-11-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1111-1-1-111-1111-1-1-1
χ12111111111111-1-11-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-111-11-11-1-11-1-1-1111
χ13111111111111-1-11-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-11111-1111-1-1-1-111-1
χ14111111111111-1-11-1-111-1-1-1-111-1-111-1-11111-1-11111-1-1-111-1-1-1-1-1-11111-1-11
χ15111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111-1-11-11-1-1-1-1-1-11111
χ16111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-111111111-1-1-1-1
χ172222222-222-2222-222-2-2000000-2-20022220000000000000-200000-2000000
χ182222222-222-2222-222-2-2000000-2-200-2-2-2-200000000000002000002000000
χ192222222-222-22-2-2-2-2-2-2-2000000220022-2-20000000000000-2000002000000
χ202222222-222-22-2-2-2-2-2-2-20000002200-2-2220000000000000200000-2000000
χ21222222-2-2-2-2-2-200-2002200002-2002-20000000022-2-20002-20000000000000
χ22222222-2-2-2-2-2-200-2002200002-2002-200000000-2-222000-220000000000000
χ23222222-2-2-2-2-2-200-200220000-2200-220000000022-2-2000-220000000000000
χ24222222-2-2-2-2-2-200-200220000-2200-2200000000-2-2220002-20000000000000
χ252222-2-222-222-200-200-2222222200-2-2000000-2-200000020000-20000000000
χ262222-2-222-222-200-200-222222-2-20022000000-2-2000000-2000020000000000
χ272222-2-222-222-200-200-22-2-2-2-22200-2-200000022000000-2000020000000000
χ282222-2-222-222-200-200-22-2-2-2-2-2-200220000002200000020000-20000000000
χ292222-2-2-222-22222-2-2-22-2000000-2200000022000000000000-20200000-2000
χ302222-2-2-222-22222-2-2-22-2000000-22000000-2-200000000000020-2000002000
χ312222-2-2-222-222-2-2-2222-20000002-20000002200000000000020-200000-2000
χ322222-2-2-222-222-2-2-2222-20000002-2000000-2-2000000000000-202000002000
χ332222-2-2-2-22-2-22222-2-2-2200002-22-2-220000000000002-20000000000000000
χ342222-2-2-2-22-2-22222-2-2-220000-222-22-2000000000000-220000000000000000
χ352222-2-2-2-22-2-22-2-2222-2200002-2-22-22000000000000-220000000000000000
χ362222-2-2-2-22-2-22-2-2222-220000-22-222-20000000000002-20000000000000000
χ372-22-22-2202-20-22-202-20022−2−20000002i−2i2i−2i002−22−22−2000000000000i2−i20i2−i20
χ382-22-22-2202-20-22-202-20022−2−2000000−2i2i−2i2i002−22−22−2000000000000−i2i20−i2i20
χ392-22-22-2202-20-22-202-200−2−2220000002i−2i2i−2i00−22−22−22000000000000−i2i20−i2i20
χ402-22-22-2202-20-22-202-200−2−222000000−2i2i−2i2i00−22−22−22000000000000i2−i20i2−i20
χ412-22-22-2202-20-2-220-220022−2−20000002i−2i−2i2i002−2−22−22000000000000i2−i20−i2i20
χ422-22-22-2202-20-2-220-220022−2−2000000−2i2i2i−2i002−2−22−22000000000000−i2i20i2−i20
χ432-22-22-2202-20-2-220-2200−2−2220000002i−2i−2i2i00−222−22−2000000000000−i2i20i2−i20
χ442-22-22-2202-20-2-220-2200−2−222000000−2i2i2i−2i00−222−22−2000000000000i2−i20−i2i20
χ45444444-44-4-44-400400-4-40000000000000000000000000000000000000000
χ464444-4-44-4-44-4-4004004-40000000000000000000000000000000000000000
χ474-44-44-4-40-4404000000000000000000000000022−22−2222000000000000000000
χ484-44-44-4-40-44040000000000000000000000000−222222−22000000000000000000
χ494-44-4-4440-4-40400000002222−22−22000000000000−22220000000000000000000000
χ504-44-4-4440-4-4040000000−22−22222200000000000022−220000000000000000000000
χ514-44-4-44-40440-44-40-44000000000000000000000000000000000000000000
χ524-44-4-44-40440-4-4404-4000000000000000000000000000000000000000000
χ534-4-44000-40040000000022−2222−22000000000022−220000000000000002-20000000
χ544-4-44000-40040000000022−2222−220000000000−2222000000000000000-220000000
χ554-4-44000-400400000000−2222−2222000000000022−22000000000000000-220000000
χ564-4-44000-400400000000−2222−22220000000000−22220000000000000002-20000000
χ5788-8-80000000000000004-4-44000000000000000000000000000000000000
χ5888-8-8000000000000000-444-4000000000000000000000000000000000000
χ598-8-88000800-8000000000000000000000000000000000000000000000000

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