Finite Group Databasebeta

← Group #280939

Character table — Group #280939

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222244444444488888888888888888161616161616161616161616161616163232
order12222244444444488888822444444888888888224444448888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ5111111111111111111111-1-1-1-11111111111111-111-1-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1111111-1-11111-1-1
χ9111111111111111-1-1-1-1-1-111-1-11111-11111-1-1-1-1-1111-1-111-1-1-1-111-1-1-11
χ10111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-11111-1-1-11-1-11111-1-1-1-1111-1
χ11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1111111-1-11-1
χ12111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-111-1-111-11
χ13111111111111111-1-1-1-1-1-1-1-1111111-11111-1-1-1-1111-111-1-1-1-1-1-1-1-1111-1
χ14111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-111-1-111-1-111-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-111-11
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11111-1-11-1
χ172222222-2-2222-2-2-222-2-2-2-222-2-20000200000000200-200000000000000
χ182222222-2-2222-2-2-222-2-2-2-2-2-2220000200000000-200200000000000000
χ192222222-2-2222-2-2-2-2-2222222220000-200000000-200-200000000000000
χ202222222-2-2222-2-2-2-2-22222-2-2-2-20000-200000000200200000000000000
χ21222222-222-2-2-22-2-2000000000022-2-2000002i2i−2i−2i000000002i−2i00000000
χ22222222-222-2-2-22-2-2000000000022-2-200000−2i−2i2i2i00000000−2i2i00000000
χ23222222-222-2-2-22-2-20000000000-2-222000002i2i−2i−2i00000000−2i2i00000000
χ24222222-222-2-2-22-2-20000000000-2-22200000−2i−2i2i2i000000002i−2i00000000
χ252222-2-2222-22-2-22-22222-2-200000000-20000000000002i−2i2i−2i0000000000
χ262222-2-2222-22-2-22-22222-2-200000000-2000000000000−2i2i−2i2i0000000000
χ272222-2-2222-22-2-22-2-2-2-2-2220000000020000000000002i−2i−2i2i0000000000
χ282222-2-2222-22-2-22-2-2-2-2-222000000002000000000000−2i2i2i−2i0000000000
χ292222-2-22-2-2-22-22-2222-2-22200002i−2i2i−2i-20000000000000000002i−2i000000
χ302222-2-22-2-2-22-22-2222-2-2220000−2i2i−2i2i-2000000000000000000−2i2i000000
χ312222-2-22-2-2-22-22-22-2-222-2-200002i−2i2i−2i2000000000000000000−2i2i000000
χ322222-2-22-2-2-22-22-22-2-222-2-20000−2i2i−2i2i20000000000000000002i−2i000000
χ332222-2-2-2-2-22-2222-200000000002i−2i−2i2i02i2i−2i−2i000002-2000000000000000
χ342222-2-2-2-2-22-2222-200000000002i−2i−2i2i0−2i−2i2i2i00000-22000000000000000
χ352222-2-2-2-2-22-2222-20000000000−2i2i2i−2i02i2i−2i−2i00000-22000000000000000
χ362222-2-2-2-2-22-2222-20000000000−2i2i2i−2i0−2i−2i2i2i000002-2000000000000000
χ372-22-22-2200-2-22000002i−2i2i−2i2-22i−2i00000i2−i2i2−i22−22−2000000000000i2−i22−200
χ382-22-22-2200-2-22000002i−2i2i−2i2-22i−2i00000−i2i2−i2i2−22−22000000000000−i2i2−2200
χ392-22-22-2200-2-22000002i−2i2i−2i-22−2i2i00000i2−i2i2−i22−22−2000000000000−i2i2−2200
χ402-22-22-2200-2-22000002i−2i2i−2i-22−2i2i00000−i2i2−i2i2−22−22000000000000i2−i22−200
χ412-22-22-2200-2-2200000−2i2i−2i2i2-2−2i2i00000i2−i2i2−i2−22−22000000000000i2−i2−2200
χ422-22-22-2200-2-2200000−2i2i−2i2i2-2−2i2i00000−i2i2−i2i22−22−2000000000000−i2i22−200
χ432-22-22-2200-2-2200000−2i2i−2i2i-222i−2i00000i2−i2i2−i2−22−22000000000000−i2i22−200
χ442-22-22-2200-2-2200000−2i2i−2i2i-222i−2i00000−i2i2−i2i22−22−2000000000000i2−i2−2200
χ45444444-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ464444-4-4-4444-44-4-4400000000000000000000000000000000000000000
χ474-44-44-4-40044-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ484-44-44-4-40044-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ494-44-4-444004-4-4000004i−4i−4i4i00000000000000000000000000000000000
χ504-44-4-444004-4-400000−4i4i4i−4i00000000000000000000000000000000000
χ514-44-4-44-400-44400000000000000000022−22−22220000000000000000000000
χ524-44-4-44-400-444000000000000000000−222222−220000000000000000000000
χ5388-8-80008i−8i00000000000000000000000000000000000000000000000
χ5488-8-8000−8i8i00000000000000000000000000000000000000000000000
χ558-8-880000000000042−42000000000000000000000000000000000000000
χ568-8-8800000000000−4242000000000000000000000000000000000000000

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