Finite Group Databasebeta

← Group #114992

Character table — Group #114992

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222244444444224444444488888888222244448888888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ9111111-111-1-1-1-1-111-111-1-1-1-11iiii−i−i−i−i1-11-11-11-1ii−i−iii−i−iii−i−i11-1-1
χ10111111-111-1-1-1-1-111-111-1-1-1-11iiii−i−i−i−i1-1-111-1-11ii−i−i−i−iii−i−iii-1-111
χ11111111-111-1-1-1-1-111-111-1-1-1-11iiii−i−i−i−i-111-1-111-1−i−iii−i−iiiii−i−i-1-111
χ12111111-111-1-1-1-1-111-111-1-1-1-11iiii−i−i−i−i-11-11-11-11−i−iiiii−i−i−i−iii11-1-1
χ13111111-111-1-1-1-1-111-111-1-1-1-11−i−i−i−iiiii1-11-11-11-1−i−iii−i−iii−i−iii11-1-1
χ14111111-111-1-1-1-1-111-111-1-1-1-11−i−i−i−iiiii1-1-111-1-11−i−iiiii−i−iii−i−i-1-111
χ15111111-111-1-1-1-1-111-111-1-1-1-11−i−i−i−iiiii-111-1-111-1ii−i−iii−i−i−i−iii-1-111
χ16111111-111-1-1-1-1-111-111-1-1-1-11−i−i−i−iiiii-11-11-11-11ii−i−i−i−iiiii−i−i11-1-1
χ17222222222-2-2-22-2-2-222-222-2-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ18222222222-2-2-22-2-2-222-222-2-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ192222222-2-222222-2-22-22-2-2-2-2200000000002200-2-20000000000000000
χ202222222-2-222222-2-22-22-2-2-2-220000000000-2-200220000000000000000
χ212222222-2-2-2-2-22-2222-2-2-2-222-20000000000000000000000002-22-20000
χ222222222-2-2-2-2-22-2222-2-2-2-222-2000000000000000000000000-22-220000
χ23222222-222222-22-2-2-22-2-2-222-222-2-2-2-222000000000000000000000000
χ24222222-222222-22-2-2-22-2-2-222-2-2-22222-2-2000000000000000000000000
χ25222222-2-2-2222-2222-2-2-222-2-2-20000000000000000000000002i−2i−2i2i0000
χ26222222-2-2-2222-2222-2-2-222-2-2-2000000000000000000000000−2i2i2i−2i0000
χ27222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000002-200-220000000000000000
χ28222222-2-2-2-2-2-2-2-2-2-2-2-22222220000000000-22002-20000000000000000
χ292222-2-222222-22-22-2-2-2-22-22-22000000002200-2-2000000000000000000
χ302222-2-222222-22-22-2-2-2-22-22-2200000000-2-20022000000000000000000
χ312222-2-2222-2-2222-22-2-222-2-22-200000000000000002-22-2000000000000
χ322222-2-2222-2-2222-22-2-222-2-22-20000000000000000-22-22000000000000
χ332222-2-22-2-222-22-2-22-22-2-22-22200000000000000000000000000002-22-2
χ342222-2-22-2-222-22-2-22-22-2-22-2220000000000000000000000000000-22-22
χ352222-2-22-2-2-2-22222-2-222-222-2-2000000000000000000002-22-200000000
χ362222-2-22-2-2-2-22222-2-222-222-2-200000000000000000000-22-2200000000
χ372222-2-2-22222-2-2-2-222-22-222-2-200000000000000002i−2i−2i2i000000000000
χ382222-2-2-22222-2-2-2-222-22-222-2-20000000000000000−2i2i2i−2i000000000000
χ392222-2-2-222-2-22-222-22-2-2-22-222000000002-200-22000000000000000000
χ402222-2-2-222-2-22-222-22-2-2-22-22200000000-22002-2000000000000000000
χ412222-2-2-2-2-222-2-2-22-22222-2-22-2000000000000000000002i−2i−2i2i00000000
χ422222-2-2-2-2-222-2-2-22-22222-2-22-200000000000000000000−2i2i2i−2i00000000
χ432222-2-2-2-2-2-2-22-22-2222-22-22-2200000000000000000000000000002-2-22
χ442222-2-2-2-2-2-2-22-22-2222-22-22-220000000000000000000000000000-222-2
χ454-44-44-40004-440-40000000000002i2−2i22i2−2i200000000000000000000000000
χ464-44-44-40004-440-4000000000000−2i22i2−2i22i200000000000000000000000000
χ474-44-44-4000-44-40400000000000022−22−222200000000000000000000000000
χ484-44-44-4000-44-404000000000000−222222−2200000000000000000000000000
χ494-44-4-440004-4-404000000000022−22000022−22000000000000000000000000
χ504-44-4-440004-4-4040000000000−22220000−2222000000000000000000000000
χ514-44-4-44000-4440-400000000002i2−2i20000−2i22i2000000000000000000000000
χ524-44-4-44000-4440-40000000000−2i22i200002i2−2i2000000000000000000000000
χ5388-8-800800000-80000000000000000000000000000000000000000000
χ5488-8-800-80000080000000000000000000000000000000000000000000
χ558-8-880008-800000000000000000000000000000000000000000000000
χ568-8-88000-8800000000000000000000000000000000000000000000000

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