Finite Group Databasebeta

← Group #244539

Character table — Group #244539

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111444444488888888881616161616161616161616161616161616161616163232
order12222224444224444444422244444488888888888844
χ111111111111111111111111111111111111111111111
χ211111111111111111111111-111-11-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111-1-111-11-111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111-111-1-11-1-1-1111-11-111-111-1-1-1-1-1-111-1-11-1
χ6111111111111-111-1-11-1-1-111-1-1111-11-1-111-1-1-1-1-1-111-11
χ7111111111111-111-1-11-1-1-1-1-11-1-1-1-11-1-1-111111111-1-1-11
χ8111111111111-111-1-11-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1111-1
χ911111111111-11-1-111-11-1-11-11-111-111-1-11111-1-1-1-1-1-11-1
χ1011111111111-11-1-111-11-1-11-1-1-11-1-1-1-111-1-111-1-11111-11
χ1111111111111-11-1-111-11-1-1-111-1-1111111-1-1-1-111-1-1-1-1-11
χ1211111111111-11-1-111-11-1-1-11-1-1-1-11-1-1-1-111-1-11111111-1
χ1311111111111-1-1-1-1-1-1-1-1111-1111-1-11-1-1-1-1-1-1-111-1-11111
χ1411111111111-1-1-1-1-1-1-1-1111-1-1111-1-111111-1-11111-1-1-1-1
χ1511111111111-1-1-1-1-1-1-1-111-1111-1-111-1111111-1-1-1-111-1-1
χ1611111111111-1-1-1-1-1-1-1-111-11-11-111-11-1-1-1-111-1-111-1-111
χ1722222-2-2-2-222222-22-2-2-2-2-200020000000000000000000
χ1822222-2-2-2-2222-22-2-22-2222000-20000000000000000000
χ1922222-2-2-2-222-22-222-22-222000-20000000000000000000
χ2022222-2-2-2-222-2-2-22-2222-2-200020000000000000000000
χ212222-22-22-22-20200-220-2002000-2000000002-200000000
χ222222-22-22-22-20200-220-200-2000200000000-2200000000
χ232222-22-22-22-20-2002-202002000-200000000-2200000000
χ242222-22-22-22-20-2002-20200-20002000000002-200000000
χ252222-22-2-22-2220-2-20020000020000-20000000002-20000
χ262222-22-2-22-2220-2-200200000-200002000000000-220000
χ272222-22-2-22-22-202200-20000020000-2000000000-220000
χ282222-22-2-22-22-202200-200000-2000020000000002-20000
χ292222-2-222-2-2220-2200-200000000200-200000000002-200
χ302222-2-222-2-2220-2200-200000000-20020000000000-2200
χ312222-2-222-2-22-202-200200000000200-20000000000-2200
χ322222-2-222-2-22-202-200200000000-200200000000002-200
χ332222-2-22-222-20200-2-20200020000-2000000002-2000000
χ342222-2-22-222-20200-2-202000-20000200000000-22000000
χ352222-2-22-222-20-200220-200020000-200000000-22000000
χ362222-2-22-222-20-200220-2000-200002000000002-2000000
χ374444444-4-4-4-4000000000000000000000000000000000
χ3844444-4-444-4-4000000000000000000000000000000000
χ3988-8-80000000000000004i−4i00000000000000000000000
χ4088-8-8000000000000000−4i4i00000000000000000000000
χ418-88-800000000000000000000000000002i2−2i20000000000
χ428-88-80000000000000000000000000000−2i22i20000000000
χ438-8-880000000000000000000000000022−22000000000000
χ448-8-8800000000000000000000000000−2222000000000000

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