Order 26368.
950 conjugacy classes of subgroups.
The subgroup lattice has 326 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C103×#1537 | C2 | semidirect |
| 4. C103×#1534 | C2 | semidirect |
| 5. C103×#1526 | C2 | semidirect |
| 25. #330×C103 | C22 | semidirect |
| 157. #17664 | C103 | direct (N × H) |
| 165. #1537 | C2×C103 | semidirect |
| 166. #1534 | C2×C103 | semidirect |
| 167. #1526 | C2×C103 | semidirect |
| 168. C103 | #17664 | direct (N × H) |
| 188. #330 | C22×C103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#533×C103 | 2 |
| C103×#2920 | 2 |
| C103×#1537 | 2 |
| C103×#1534 | 2 |
| C103×#1526 | 2 |
| #17664 | 103 |