Finite Group Databasebeta

← Group #285196

Character table — Group #285196

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444444444444888888888888888881616161616161616161616161616163232
order12222244444444444888888882244488888888888824444888888888848
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111111111-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-111111-1111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-111-1-1111-1-11-1-1-111-1-11-1
χ611111111111111111-1-1-1-11111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-111-11
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
χ811111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-111111-1-11-1
χ91111111111111-1-1111111111111-1-1-11111-1-1111111-1-11-1-1-1-1-11-1-11111-1-1
χ101111111111111-1-11111111111-1-1-1-1-11111-1-111-1-111-1-1-111-1-1-1-111-1-1-1-111
χ111111111111111-1-1111111-1-1-1-111-1-1-1-1-11111-1-111-1-1111-1-1-1-111-1-1-1-1-1-111
χ121111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-11-1111111-1-1
χ131111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-1-11
χ141111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-11-1-1-1-1111-1
χ151111111111111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-11-1-1111-111-1-1111-1
χ161111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111111-1-111-1-1-11
χ172222222-2-2-2-22222-2-22i2i−2i−2i000000-2-22002i−2i00000000000002i−2i0000000000
χ182222222-2-2-2-22222-2-2−2i−2i2i2i000000-2-2200−2i2i0000000000000−2i2i0000000000
χ192222222-2-2-2-222-2-2-2-22i2i−2i−2i00000022-2002i−2i0000000000000−2i2i0000000000
χ202222222-2-2-2-222-2-2-2-2−2i−2i2i2i00000022-200−2i2i00000000000002i−2i0000000000
χ21222222-22222-2-200-2-2222200002200000-2-20000220000-200000-200000000
χ22222222-22222-2-200-2-222220000-2-200000-2-20000-2-20000200000200000000
χ23222222-22222-2-200-2-2-2-2-2-200002200000220000-2-20000-200000200000000
χ24222222-22222-2-200-2-2-2-2-2-20000-2-200000220000220000200000-200000000
χ25222222-2-2-2-2-2-2-200222i2i−2i−2i00000000000−2i2i000000000002-200002i−2i000000
χ26222222-2-2-2-2-2-2-200222i2i−2i−2i00000000000−2i2i00000000000-220000−2i2i000000
χ27222222-2-2-2-2-2-2-20022−2i−2i2i2i000000000002i−2i000000000002-20000−2i2i000000
χ28222222-2-2-2-2-2-2-20022−2i−2i2i2i000000000002i−2i00000000000-2200002i−2i000000
χ292222-2-2222-2-22-2222-200002222002-2-20000220000-2-20000000-2000000000
χ302222-2-2222-2-22-2222-20000-2-2-2-2002-2-20000-2-200002200000002000000000
χ312222-2-2222-2-22-2-2-22-20000222200-2220000-2-20000-2-200000002000000000
χ322222-2-2222-2-22-2-2-22-20000-2-2-2-200-2220000220000220000000-2000000000
χ332222-2-22-2-2222-222-220000000000-22-2220000-2-200002-2000000000000000
χ342222-2-22-2-2222-222-220000000000-22-2-2-20000220000-22000000000000000
χ352222-2-22-2-2222-2-2-2-2200000000002-22220000-2-20000-22000000000000000
χ362222-2-22-2-2222-2-2-2-2200000000002-22-2-200002200002-2000000000000000
χ372-22-22-202-22-20000002-22-2i2i2−i2−i22-2000i2−i20000i2−i22-2i2−i200000000000i2−i2i2−i200
χ382-22-22-202-22-20000002-22-2i2i2−i2−i2-22000i2−i20000i2−i2-22i2−i200000000000−i2i2−i2i200
χ392-22-22-202-22-20000002-22-2−i2−i2i2i22-2000−i2i20000−i2i22-2−i2i200000000000−i2i2−i2i200
χ402-22-22-202-22-20000002-22-2−i2−i2i2i2-22000−i2i20000−i2i2-22−i2i200000000000i2−i2i2−i200
χ412-22-22-202-22-2000000-22-22i2i2−i2−i22-2000−i2i20000−i2i2-22i2−i200000000000i2−i2−i2i200
χ422-22-22-202-22-2000000-22-22i2i2−i2−i2-22000−i2i20000−i2i22-2i2−i200000000000−i2i2i2−i200
χ432-22-22-202-22-2000000-22-22−i2−i2i2i22-2000i2−i20000i2−i2-22−i2i200000000000−i2i2i2−i200
χ442-22-22-202-22-2000000-22-22−i2−i2i2i2-22000i2−i20000i2−i22-2−i2i200000000000i2−i2−i2i200
χ454444-4-4-444-4-4-4400-44000000000000000000000000000000000000000000
χ464444-4-4-4-4-444-44004-4000000000000000000000000000000000000000000
χ474-44-44-40-44-440000004i−4i−4i4i00000000000000000000000000000000000000
χ484-44-44-40-44-44000000−4i4i4i−4i00000000000000000000000000000000000000
χ494-44-4-4404-4-4400000000002i22i2−2i2−2i2000000000000000−2i22i200000000000000000
χ504-44-4-4404-4-440000000000−2i2−2i22i22i20000000000000002i2−2i200000000000000000
χ514-44-4-440-444-400000000000000000002i2−2i20000−2i22i2000000000000000000000
χ524-44-4-440-444-40000000000000000000−2i22i200002i2−2i2000000000000000000000
χ534-4-440040000-404-40000002i2−2i22i2−2i20000000002i2−2i200000000000000000000000
χ544-4-440040000-404-4000000−2i22i2−2i22i2000000000−2i22i200000000000000000000000
χ554-4-440040000-40-440000002i2−2i22i2−2i2000000000−2i22i200000000000000000000000
χ564-4-440040000-40-44000000−2i22i2−2i22i20000000002i2−2i200000000000000000000000
χ5788-8-8000000000000000004-4-440000000000000000000000000000000000
χ5888-8-800000000000000000-444-40000000000000000000000000000000000
χ598-8-8800-80000800000000000000000000000000000000000000000000000

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