Finite Group Databasebeta

← Group #285197

Character table — Group #285197

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444444444888888888888888881616161616161616161616161616163232
order12222244444444444888888882222488888888888844444888888888848
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1
χ4111111111111111111111-1-1-1-111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111
χ511111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1111-1-1-1111-1-1-1-11-1
χ611111111111111111-1-1-1-1111111-1-11-1-1-1-111-1-11111-1-1-1-1-11-1-11-1-11111-11
χ711111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-111-11
χ811111111111111111-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-111-1-1-11-1-1-11111-1-11-1
χ91111111111111-1-11111111111-1-111-11111-1-1111111-1-11-1-11-1-1-111-1-111-1-1
χ101111111111111-1-11111111111-1-1-1-1-11111-1-111-1-111-1-1-111-1-1-1-1-1-111-1-111
χ111111111111111-1-1111111-1-1-1-1-1-111-1-1-11111-1-111-1-1111-1-11-1-11-1-1-1-1-1-111
χ121111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-11111111-1-1
χ131111111111111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-11111-1-1-11
χ141111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111-1-1-1-1-1111-1
χ151111111111111-1-111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-11-1-1-1111-1-111111-1
χ161111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111111111-1-1-1-1-11
χ172222222-22-2-2-2222-2-22i2i−2i−2i0000-2-2002002i−2i000000000000002i−2i000000000
χ182222222-22-2-2-2222-2-2−2i−2i2i2i0000-2-200200−2i2i00000000000000−2i2i000000000
χ192222222-22-2-2-22-2-2-2-22i2i−2i−2i00002200-2002i−2i00000000000000−2i2i000000000
χ202222222-22-2-2-22-2-2-2-2−2i−2i2i2i00002200-200−2i2i000000000000002i−2i000000000
χ21222222-22-2222-200-2-2222200000022000-2-20000220000-200-200000000000
χ22222222-22-2222-200-2-22222000000-2-2000-2-20000-2-20000200200000000000
χ23222222-22-2222-200-2-2-2-2-2-200000022000220000-2-20000-200200000000000
χ24222222-22-2222-200-2-2-2-2-2-2000000-2-2000220000220000200-200000000000
χ25222222-2-2-2-2-2-2-200222i2i−2i−2i00000000000−2i2i000000000002-20000002i−2i0000
χ26222222-2-2-2-2-2-2-200222i2i−2i−2i00000000000−2i2i00000000000-22000000−2i2i0000
χ27222222-2-2-2-2-2-2-20022−2i−2i2i2i000000000002i−2i000000000002-2000000−2i2i0000
χ28222222-2-2-2-2-2-2-20022−2i−2i2i2i000000000002i−2i00000000000-220000002i−2i0000
χ292222-2-2222-2-22-2222-2000000002-200-2220000-2-20000-22000000000000000
χ302222-2-2222-2-22-2222-2000000002-200-2-2-200002200002-2000000000000000
χ312222-2-2222-2-22-2-2-22-200000000-22002220000-2-200002-2000000000000000
χ322222-2-2222-2-22-2-2-22-200000000-22002-2-20000220000-22000000000000000
χ332222-2-22-2222-2-222-2200002222-2200-20000220000-2-200000000-200000000
χ342222-2-22-2222-2-222-220000-2-2-2-2-2200-20000-2-200002200000000200000000
χ352222-2-22-2222-2-2-2-2-22000022222-20020000-2-20000-2-200000000200000000
χ362222-2-22-2222-2-2-2-2-220000-2-2-2-22-200200002200002200000000-200000000
χ372-2-222-20202-2-2000002i−2i2i−2i22−2−2002-20i2−i20000i2−i22i−2i2−20000000002−200i2−i200
χ382-2-222-20202-2-2000002i−2i2i−2i22−2−200-220i2−i20000i2−i2−2i2i2−2000000000−2200−i2i200
χ392-2-222-20202-2-2000002i−2i2i−2i−2−222002-20−i2i20000−i2i22i−2i−22000000000−2200−i2i200
χ402-2-222-20202-2-2000002i−2i2i−2i−2−22200-220−i2i20000−i2i2−2i2i−220000000002−200i2−i200
χ412-2-222-20202-2-200000−2i2i−2i2i22−2−2002-20−i2i20000−i2i2−2i2i2−20000000002−200−i2i200
χ422-2-222-20202-2-200000−2i2i−2i2i22−2−200-220−i2i20000−i2i22i−2i2−2000000000−2200i2−i200
χ432-2-222-20202-2-200000−2i2i−2i2i−2−222002-20i2−i20000i2−i2−2i2i−22000000000−2200i2−i200
χ442-2-222-20202-2-200000−2i2i−2i2i−2−22200-220i2−i20000i2−i22i−2i−220000000002−200−i2i200
χ454444-4-4-44-4-4-44400-44000000000000000000000000000000000000000000
χ464444-4-4-4-4-444-44004-4000000000000000000000000000000000000000000
χ474-44-400-40400004i−4i00000022−2222−220000000002i2−2i200000000000000000000000
χ484-44-400-40400004i−4i000000−2222−2222000000000−2i22i200000000000000000000000
χ494-44-400-4040000−4i4i00000022−2222−22000000000−2i22i200000000000000000000000
χ504-44-400-4040000−4i4i000000−2222−22220000000002i2−2i200000000000000000000000
χ514-4-444-40-40-444000004-4-4400000000000000000000000000000000000000
χ524-4-444-40-40-44400000-444-400000000000000000000000000000000000000
χ534-4-44-44040-44-40000000000000000002i2−2i20000−2i22i2000000000000000000000
χ544-4-44-44040-44-4000000000000000000−2i22i200002i2−2i2000000000000000000000
χ554-4-44-440-404-440000000002222−22−22000000000000000−222200000000000000000
χ564-4-44-440-404-44000000000−22−22222200000000000000022−2200000000000000000
χ5788-8-8000000000000000004-4-440000000000000000000000000000000000
χ5888-8-800000000000000000-444-40000000000000000000000000000000000
χ598-88-80080-800000000000000000000000000000000000000000000000000

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