Finite Group Databasebeta

← Group #420268

Character table — Group #420268

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222222222888888888888888888888888888888888888161616161616161616161616
order12222222222244444444222244444444444444444444444488888888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111
χ5111111111111111111111111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111
χ911111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1
χ1011111111111111111111-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111111111-1-1-1-11111-1-1-1-1
χ1722222222-2-2-2-2222-2-2-2-22000000000000220022-2-200-2-20000000022-2-2000000000000
χ1822222222-2-2-2-2222-2-2-2-220000000000002200-2-2-2-2002200000000-2-222000000000000
χ1922222222-2-2-2-2222-2-2-2-22000000000000-2-200222200-2-200000000-2-222000000000000
χ2022222222-2-2-2-2222-2-2-2-22000000000000-2-200-2-22200220000000022-2-2000000000000
χ2122222222-2-2-2-2-2-2-22222-2000022-2-2000000220000-2-200000022-2-20000000000000000
χ2222222222-2-2-2-2-2-2-22222-2000022-2-2000000-2-2000022000000-2-2220000000000000000
χ2322222222-2-2-2-2-2-2-22222-20000-2-222000000220000-2-2000000-2-2220000000000000000
χ2422222222-2-2-2-2-2-2-22222-20000-2-222000000-2-200002200000022-2-20000000000000000
χ25222-2-22-2-22-2-2222-222-2-2-222-2-2000022-2-200000000000022-2-200000000000000000000
χ26222-2-22-2-22-2-2222-222-2-2-222-2-20000-2-222000000000000-2-22200000000000000000000
χ27222-2-22-2-22-2-2222-222-2-2-2-2-222000022-2-2000000000000-2-22200000000000000000000
χ28222-2-22-2-22-2-2222-222-2-2-2-2-2220000-2-22200000000000022-2-200000000000000000000
χ292-2222-2-2-222-2-22-222-22-2-22-22-22-22-2000000000000000000000000000000002-2000000
χ302-2222-2-2-222-2-22-222-22-2-22-22-2-22-2200000000000000000000000000000000-22000000
χ312-2222-2-2-222-2-22-222-22-2-2-22-222-22-200000000000000000000000000000000-22000000
χ322-2222-2-2-222-2-22-222-22-2-2-22-22-22-22000000000000000000000000000000002-2000000
χ332-2222-2-2-222-2-2-22-2-22-222000000002i−2i2i−2i00002i−2i00002i−2i00000000000000000000002-2
χ342-2222-2-2-222-2-2-22-2-22-222000000002i−2i2i−2i0000−2i2i0000−2i2i0000000000000000000000-22
χ352-2222-2-2-222-2-2-22-2-22-22200000000−2i2i−2i2i00002i−2i00002i−2i0000000000000000000000-22
χ362-2222-2-2-222-2-2-22-2-22-22200000000−2i2i−2i2i0000−2i2i0000−2i2i00000000000000000000002-2
χ372-2222-2-2-2-2-222-22-22-22-2200002-2-22000000002i−2i0000−2i2i0000000000002i−2i0000000000
χ382-2222-2-2-2-2-222-22-22-22-2200002-2-2200000000−2i2i00002i−2i000000000000−2i2i0000000000
χ392-2222-2-2-2-2-222-22-22-22-220000-222-2000000002i−2i0000−2i2i000000000000−2i2i0000000000
χ402-2222-2-2-2-2-222-22-22-22-220000-222-200000000−2i2i00002i−2i0000000000002i−2i0000000000
χ412-22-2-2-2222-22-22-2-22-2-2222-2-22000000002-200002-20000000000000000000000002-200
χ422-22-2-2-2222-22-22-2-22-2-2222-2-2200000000-220000-22000000000000000000000000-2200
χ432-22-2-2-2222-22-22-2-22-2-222-222-2000000002-200002-2000000000000000000000000-2200
χ442-22-2-2-2222-22-22-2-22-2-222-222-200000000-220000-220000000000000000000000002-200
χ452-22-2-2-2222-22-2-222-222-2-2000000002i−2i−2i2i002-200002-2000000000000000000002i−2i0000
χ462-22-2-2-2222-22-2-222-222-2-2000000002i−2i−2i2i00-220000-2200000000000000000000−2i2i0000
χ472-22-2-2-2222-22-2-222-222-2-200000000−2i2i2i−2i002-200002-200000000000000000000−2i2i0000
χ482-22-2-2-2222-22-2-222-222-2-200000000−2i2i2i−2i00-220000-22000000000000000000002i−2i0000
χ492-22-2-2-222-22-222-2-2-222-220000000000002-22-200-22-2200000000000000002-200000000
χ502-22-2-2-222-22-222-2-2-222-220000000000002-2-2200-222-20000000000000000-2200000000
χ512-22-2-2-222-22-222-2-2-222-22000000000000-222-2002-2-220000000000000000-2200000000
χ522-22-2-2-222-22-222-2-2-222-22000000000000-22-22002-22-200000000000000002-200000000
χ53444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000
χ54444-4-44-4-44-4-44-4-44-4-4444000000000000000000000000000000000000000000000000
χ55444-4-44-4-4-444-444-4-4-444-4000000000000000000000000000000000000000000000000
χ56444-4-44-4-4-444-4-4-4444-4-44000000000000000000000000000000000000000000000000
χ574-4444-4-4-4-4-4444-44-44-44-4000000000000000000000000000000000000000000000000
χ584-44-4-4-444-44-44-4444-4-44-4000000000000000000000000000000000000000000000000
χ594-4-44-444-40000000000000000000000000000000000002-22-2002i2−2i2002i2−2i2000000000000
χ604-4-44-444-40000000000000000000000000000000000002-22-200−2i22i200−2i22i2000000000000
χ614-4-44-444-4000000000000000000000000000000000000-22-22002i2−2i200−2i22i2000000000000
χ624-4-44-444-4000000000000000000000000000000000000-22-2200−2i22i2002i2−2i2000000000000
χ634-4-4-444-440000000000000000000000000000000000002-2-2222−220022−2200000000000000
χ644-4-4-444-440000000000000000000000000000000000002-2-22−222200−222200000000000000
χ654-4-4-444-44000000000000000000000000000000000000-222-222−2200−222200000000000000
χ664-4-4-444-44000000000000000000000000000000000000-222-2−22220022−2200000000000000
χ6788-88-8-8-88000000000000000000000000000000000000000000000000000000000000
χ6888-8-88-88-8000000000000000000000000000000000000000000000000000000000000

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