Finite Group Databasebeta

← Group #72265945

Character table — Group #72265945

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76
size111122222244444444444444448888881616161616161616161616161616161616161616161616161616161616161616323232323232323232323232
order1222222222222222222222444444444422222444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111-1-1-1-11-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-11-111-1-111-1-1-11-1111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-11-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1111-1-1-1-111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-11-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ91111111111111111111111-1-1-1-1-1-1-1-1-1-111-1111111-1-111-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1
χ101111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111
χ111111111111111111111111-1-1-1-1-1-1-1-1-1-11-111111-1-1111-1111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-111
χ121111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-11-1-11111-1-111-1-1-1-111-1-1-1-11111-1-111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-11111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-2-2-2222222-2-2-2-2002000000-2-20020000000000-2-2000022000000000000
χ18222222222222-2-2-2-222-2-2-2-2222222-2-2-2-200-20000002200-20000000000220000-2-2000000000000
χ19222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222002000000-2-20020000000000220000-2-2000000000000
χ20222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222200-20000002200-20000000000-2-2000022000000000000
χ212222222222-2-222-2-2-2-222-2-22222-2-222-2-20200000-2-20002000000000-2-200002200000000000000
χ222222222222-2-222-2-2-2-222-2-22222-2-222-2-20-20000022000-2000000000220000-2-200000000000000
χ232222222222-2-222-2-2-2-222-2-2-2-2-2-222-2-2220200000-2-20002000000000220000-2-200000000000000
χ242222222222-2-222-2-2-2-222-2-2-2-2-2-222-2-2220-20000022000-2000000000-2-200002200000000000000
χ252222222222-2-2-2-222-2-2-2-2222222-2-2-2-22220000-2-20000200000000-2-20000220000000000000000
χ262222222222-2-2-2-222-2-2-2-2222222-2-2-2-222-20000220000-200000000220000-2-20000000000000000
χ272222222222-2-2-2-222-2-2-2-222-2-2-2-22222-2-220000-2-20000200000000220000-2-20000000000000000
χ282222222222-2-2-2-222-2-2-2-222-2-2-2-22222-2-2-20000220000-200000000-2-20000220000000000000000
χ29222222-2-2-2-22-22-22-22-22-22-22i2i−2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000002i−2i2-2
χ30222222-2-2-2-22-22-22-22-22-22-22i2i−2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000−2i2i-22
χ31222222-2-2-2-22-22-22-22-22-22-2−2i−2i2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000002i−2i-22
χ32222222-2-2-2-22-22-22-22-22-22-2−2i−2i2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000−2i2i2-2
χ33222222-2-2-2-22-2-22-222-2-22-222i2i−2i−2i2i−2i−2i2i−2i2i00022000000000-2-22i2i−2i−2i000000000000000000000000
χ34222222-2-2-2-22-2-22-222-2-22-222i2i−2i−2i2i−2i−2i2i−2i2i000-2-200000000022−2i−2i2i2i000000000000000000000000
χ35222222-2-2-2-22-2-22-222-2-22-22−2i−2i2i2i−2i2i2i−2i2i−2i00022000000000-2-2−2i−2i2i2i000000000000000000000000
χ36222222-2-2-2-22-2-22-222-2-22-22−2i−2i2i2i−2i2i2i−2i2i−2i000-2-2000000000222i2i−2i−2i000000000000000000000000
χ37222222-2-2-2-2-222-2-22-222-2-222i2i−2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000002-22i−2i00000000
χ38222222-2-2-2-2-222-2-22-222-2-222i2i−2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000-22−2i2i00000000
χ39222222-2-2-2-2-222-2-22-222-2-22−2i−2i2i2i2i−2i−2i2i2i−2i000000000000000000000000000000002-2−2i2i00000000
χ40222222-2-2-2-2-222-2-22-222-2-22−2i−2i2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000-222i−2i00000000
χ41222222-2-2-2-2-22-222-2-22-222-22i2i−2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000002-22i−2i0000
χ42222222-2-2-2-2-22-222-2-22-222-22i2i−2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000-22−2i2i0000
χ43222222-2-2-2-2-22-222-2-22-222-2−2i−2i2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000002-2−2i2i0000
χ44222222-2-2-2-2-22-222-2-22-222-2−2i−2i2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000-222i−2i0000
χ452222-2-2-2-2222-22-22-2-22-22-220000000000220002-22-200-2-2000000000002-200002-2000000000000
χ462222-2-2-2-2222-22-22-2-22-22-2200000000002-20002-2-2200-2200000000000-220000-22000000000000
χ472222-2-2-2-2222-22-22-2-22-22-220000000000-22000-222-2002-200000000000-220000-22000000000000
χ482222-2-2-2-2222-22-22-2-22-22-220000000000-2-2000-22-220022000000000002-200002-2000000000000
χ492222-2-2-2-2222-2-22-22-222-22-20000000000000000000000000000002-22-22-22-22-2-22000000000000
χ502222-2-2-2-2222-2-22-22-222-22-20000000000000000000000000000002-2-22-222-2-222-2000000000000
χ512222-2-2-2-2222-2-22-22-222-22-2000000000000000000000000000000-222-2-22-222-22-2000000000000
χ522222-2-2-2-2222-2-22-22-222-22-2000000000000000000000000000000-22-222-2-22-22-22000000000000
χ532222-2-2-2-222-222-2-222-2-222-200000000000220000-222-20-2-20000002-20000-220000000000000000
χ542222-2-2-2-222-222-2-222-2-222-2000000000002-20000-22-220-22000000-2200002-20000000000000000
χ552222-2-2-2-222-222-2-222-2-222-200000000000-2200002-22-202-2000000-2200002-20000000000000000
χ562222-2-2-2-222-222-2-222-2-222-200000000000-2-200002-2-220220000002-20000-220000000000000000
χ572222-2-2-2-222-22-222-22-22-2-22000000000020200-2200-22-20-200000000-2200002-200000000000000
χ582222-2-2-2-222-22-222-22-22-2-22000000000020-200-22002-2-202000000002-20000-2200000000000000
χ592222-2-2-2-222-22-222-22-22-2-220000000000-202002-200-2220-2000000002-20000-2200000000000000
χ602222-2-2-2-222-22-222-22-22-2-220000000000-20-2002-2002-220200000000-2200002-200000000000000
χ614444-4-444-4-4444444-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000
χ624444-4-444-4-444-4-4-4-4-4-44444000000000000000000000000000000000000000000000000000000
χ634444-4-444-4-4-4-444-4-444-4-444000000000000000000000000000000000000000000000000000000
χ644444-4-444-4-4-4-4-4-4444444-4-4000000000000000000000000000000000000000000000000000000
χ654-4-444-44-44-40000000000004i−4i4i−4i0000000002-20000000002-22i−2i2i−2i000000000000000000000000
χ664-4-444-44-44-40000000000004i−4i4i−4i000000000-22000000000-22−2i2i−2i2i000000000000000000000000
χ674-4-444-44-44-4000000000000−4i4i−4i4i0000000002-20000000002-2−2i2i−2i2i000000000000000000000000
χ684-4-444-44-44-4000000000000−4i4i−4i4i000000000-22000000000-222i−2i2i−2i000000000000000000000000
χ694-4-444-4-44-440000000000004-4-440000000002-2000000000-222-2-22000000000000000000000000
χ704-4-444-4-44-440000000000004-4-44000000000-220000000002-2-222-2000000000000000000000000
χ714-4-444-4-44-44000000000000-444-40000000002-2000000000-22-222-2000000000000000000000000
χ724-4-444-4-44-44000000000000-444-4000000000-220000000002-22-2-22000000000000000000000000
χ738-8-88-888-8-88000000000000000000000000000000000000000000000000000000000000000000
χ748-8-88-88-888-8000000000000000000000000000000000000000000000000000000000000000000
χ751616-16-16000000000000000000000000000000000000000000000000000000000000000000000000
χ7616-1616-16000000000000000000000000000000000000000000000000000000000000000000000000

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