Finite Group Databasebeta

← Group #113309

Character table — Group #113309

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222222224444444444444488888888222444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111-1-1-1-111-1-11111-1-11-1-1-1iiii−i−i−i−i1-111-11-1-1ii−i−iii−i−i11-1-1ii−i−i
χ10111111-1-1-1-111-1-11111-1-11-1-1-1iiii−i−i−i−i1-1-1-111-11ii−i−i−i−iii-1-111−i−iii
χ11111111-1-1-1-111-1-11111-1-11-1-1-1iiii−i−i−i−i-1111-1-11-1−i−iiiii−i−i-1-111−i−iii
χ12111111-1-1-1-111-1-11111-1-11-1-1-1iiii−i−i−i−i-11-1-11-111−i−iii−i−iii11-1-1ii−i−i
χ13111111-1-1-1-111-1-11111-1-11-1-1-1−i−i−i−iiiii1-111-11-1-1−i−iii−i−iii11-1-1−i−iii
χ14111111-1-1-1-111-1-11111-1-11-1-1-1−i−i−i−iiiii1-1-1-111-11−i−iiiii−i−i-1-111ii−i−i
χ15111111-1-1-1-111-1-11111-1-11-1-1-1−i−i−i−iiiii-1111-1-11-1ii−i−i−i−iii-1-111ii−i−i
χ16111111-1-1-1-111-1-11111-1-11-1-1-1−i−i−i−iiiii-11-1-11-111ii−i−iii−i−i11-1-1−i−iii
χ17222222222222-2-22-2-2-2-2-2-222-222-2-222-2-2000000000000000000000000
χ18222222222222-2-22-2-2-2-2-2-222-2-2-222-2-222000000000000000000000000
χ192222222222-2-222-22-2-2-2-22-2-2200000000002-2-20020000000000000000
χ202222222222-2-222-22-2-2-2-22-2-220000000000-22200-20000000000000000
χ212222222222-2-2-2-2-2-22222-2-2-2-2000000000000000000002i−2i2i−2i00000000
χ222222222222-2-2-2-2-2-22222-2-2-2-200000000000000000000−2i2i−2i2i00000000
χ23222222-2-2-2-222222-2-2-222-2-2-222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ24222222-2-2-2-222222-2-2-222-2-2-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ25222222-2-2-2-2-2-222-2-222-2-2-2222000000000000000000002-2-2200000000
χ26222222-2-2-2-2-2-222-2-222-2-2-222200000000000000000000-222-200000000
χ27222222-2-2-2-2-2-2-2-2-22-2-222222-200000000002-2200-20000000000000000
χ28222222-2-2-2-2-2-2-2-2-22-2-222222-20000000000-22-20020000000000000000
χ292222-2-222-2-22222-222-22-2-22-2-200000000000000000000000000002i−2i2i−2i
χ302222-2-222-2-22222-222-22-2-22-2-20000000000000000000000000000−2i2i−2i2i
χ312222-2-222-2-222-2-2-2-2-22-2222-220000000000000000000000002-22-20000
χ322222-2-222-2-222-2-2-2-2-22-2222-22000000000000000000000000-22-220000
χ332222-2-222-2-2-2-22222-22-22-2-22-200000000000000002i−2i2i−2i000000000000
χ342222-2-222-2-2-2-22222-22-22-2-22-20000000000000000−2i2i−2i2i000000000000
χ352222-2-222-2-2-2-2-2-22-22-22-22-2220000000022000-2-200000000000000000
χ362222-2-222-2-2-2-2-2-22-22-22-22-22200000000-2-20002200000000000000000
χ372222-2-2-2-2222222-2-2-222-22-22-20000000000000000000000002-2-220000
χ382222-2-2-2-2222222-2-2-222-22-22-2000000000000000000000000-222-20000
χ392222-2-2-2-22222-2-2-222-2-22-2-22200000000000000000000000000002-2-22
χ402222-2-2-2-22222-2-2-222-2-22-2-2220000000000000000000000000000-222-2
χ412222-2-2-2-222-2-2222-22-2-2222-2-2000000002-2000-2200000000000000000
χ422222-2-2-2-222-2-2222-22-2-2222-2-200000000-220002-200000000000000000
χ432222-2-2-2-222-2-2-2-222-222-2-22-2200000000000000002-2-22000000000000
χ442222-2-2-2-222-2-2-2-222-222-2-22-220000000000000000-222-2000000000000
χ454-4-444-44-44-400000000000000002i2−2i2002i2−2i2000000000000000000000000
χ464-4-444-44-44-40000000000000000−2i22i200−2i22i2000000000000000000000000
χ474-4-444-4-44-44000000000000000022−2200−2222000000000000000000000000
χ484-4-444-4-44-440000000000000000−22220022−22000000000000000000000000
χ494-4-44-444-4-440000000000000022−220022−2200000000000000000000000000
χ504-4-44-444-4-4400000000000000−222200−222200000000000000000000000000
χ514-4-44-44-444-4000000000000002i2−2i200−2i22i200000000000000000000000000
χ524-4-44-44-444-400000000000000−2i22i2002i2−2i200000000000000000000000000
χ5388-8-8000000008i−8i000000000000000000000000000000000000000000
χ5488-8-800000000−8i8i000000000000000000000000000000000000000000
χ558-88-80000008i−8i00000000000000000000000000000000000000000000
χ568-88-8000000−8i8i00000000000000000000000000000000000000000000

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