Finite Group Databasebeta

← Group #235195

Character table — Group #235195

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222222224444444444444488888888222224444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-111-111-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111111111-1-1-1-1
χ91111111111-1-111-1-1-1-111-1-1-111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1
χ101111111111-1-111-1-1-1-111-1-1-111111-1-1-1-1111-11-1-1-11-1-11-1-111-1-111-1-111
χ111111111111-1-111-1-1-1-111-1-1-111111-1-1-1-1-1-1-11-1111-111-1-1-11111-1-1-1-111
χ121111111111-1-111-1-1-1-111-1-1-111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-11111-1-1
χ131111111111-1-111-1-1-1-111-1-1-11-1-1-1-1111111-11-11-1-1-111-111-1-1-1-111-1-111
χ141111111111-1-111-1-1-1-111-1-1-11-1-1-1-1111111-1-111-1-1-11-11-1-11111-1-111-1-1
χ151111111111-1-111-1-1-1-111-1-1-11-1-1-1-11111-1-111-1-1111-11-1-1-111-1-11111-1-1
χ161111111111-1-111-1-1-1-111-1-1-11-1-1-1-11111-1-11-11-1111-1-1111-1-111-1-1-1-111
χ17222222222222-2-2-2-2-2-2-2-2222-2000000000000000000002-22-200000000
χ18222222222222-2-2-2-2-2-2-2-2222-200000000000000000000-22-2200000000
χ192222222222-2-2-2-22222-2-2-2-2-2-2000000000000000000002-2-2200000000
χ202222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000-222-200000000
χ21222222-2-2-2-2222222-2-2-2-22-2-220000000000200-200-2200000000000000
χ22222222-2-2-2-2222222-2-2-2-22-2-220000000000-2002002-200000000000000
χ23222222-2-2-2-222-2-2-2-222222-2-2-20000000000000000000000002i−2i2i−2i0000
χ24222222-2-2-2-222-2-2-2-222222-2-2-2000000000000000000000000−2i2i−2i2i0000
χ25222222-2-2-2-2-2-222-2-222-2-2-22220000000000200200-2-200000000000000
χ26222222-2-2-2-2-2-222-2-222-2-2-22220000000000-200-2002200000000000000
χ27222222-2-2-2-2-2-2-2-222-2-222-222-20000000000000000000000002i−2i−2i2i0000
χ28222222-2-2-2-2-2-2-2-222-2-222-222-2000000000000000000000000−2i2i2i−2i0000
χ292222-2-22-2-2222222-22-22-2-22-2-200000000000000000000000000002-22-2
χ302222-2-22-2-2222222-22-22-2-22-2-20000000000000000000000000000-22-22
χ312222-2-22-2-2222-2-2-22-22-22-22-2222-2-222-2-2000000000000000000000000
χ322222-2-22-2-2222-2-2-22-22-22-22-22-2-222-2-222000000000000000000000000
χ332222-2-22-2-22-2-222-22-222-22-22-200000000000000000000000000002-2-22
χ342222-2-22-2-22-2-222-22-222-22-22-20000000000000000000000000000-222-2
χ352222-2-22-2-22-2-2-2-22-22-2-222-22222-2-2-2-222000000000000000000000000
χ362222-2-22-2-22-2-2-2-22-22-2-222-222-2-22222-2-2000000000000000000000000
χ372222-2-2-222-222222-2-22-22-2-22-2000000000002-200000-22000000000000
χ382222-2-2-222-222222-2-22-22-2-22-200000000000-22000002-2000000000000
χ392222-2-2-222-222-2-2-222-22-2-2-222000000002-200002-20000000000000000
χ402222-2-2-222-222-2-2-222-22-2-2-22200000000-220000-220000000000000000
χ412222-2-2-222-2-2-222-222-2-2222-2-2000000000002200000-2-2000000000000
χ422222-2-2-222-2-2-222-222-2-2222-2-200000000000-2-20000022000000000000
χ432222-2-2-222-2-2-2-2-22-2-222-222-22000000002-20000-220000000000000000
χ442222-2-2-222-2-2-2-2-22-2-222-222-2200000000-2200002-20000000000000000
χ454-44-44-444-4-40000000000000000002i2−2i22i2−2i2000000000000000000000000
χ464-44-44-444-4-4000000000000000000−2i22i2−2i22i2000000000000000000000000
χ474-44-44-4-4-4440000000000000022−2222−220000000000000000000000000000
χ484-44-44-4-4-44400000000000000−2222−22220000000000000000000000000000
χ494-44-4-444-44-40000000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-44-4-444-44-4000000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-44-4-44-44-440000000000000022−22−22220000000000000000000000000000
χ524-44-4-44-44-4400000000000000−222222−220000000000000000000000000000
χ5388-8-80000008i−8i00000000000000000000000000000000000000000000
χ5488-8-8000000−8i8i00000000000000000000000000000000000000000000
χ558-8-88000000008-8000000000000000000000000000000000000000000
χ568-8-8800000000-88000000000000000000000000000000000000000000

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