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×#1561 | C2 | semidirect |
| 4. C103×#1556 | C2 | semidirect |
| 5. C103×#1544 | C2 | semidirect |
| 25. #332×C103 | C22 | semidirect |
| 157. #17739 | C103 | direct (N × H) |
| 165. #1561 | C2×C103 | semidirect |
| 166. #1556 | C2×C103 | semidirect |
| 167. #1544 | C2×C103 | semidirect |
| 168. C103 | #17739 | direct (N × H) |
| 188. #332 | 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×#1561 | 2 |
| C103×#1556 | 2 |
| C103×#1544 | 2 |
| #17739 | 103 |