Order 20224.
626 conjugacy classes of subgroups.
The subgroup lattice has 360 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #23761230 | C2 | semidirect |
| 70. C2×C79⋊C8 | M16 | semidirect |
| 184. C79 | #7861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23772033 | 2 |
| C22×#14579072 | 2 |
| #23761230 | 2 |
| C79×#2920 | 2 |
| #7861 | 79 |