Order 15104.
1518 conjugacy classes of subgroups.
The subgroup lattice has 374 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #21425238 | C2 | direct (N × H) |
| 33. C22×Dic118 | Q8 | semidirect |
| 101. C2×Dic118 | C2×Q8 | semidirect |
| 185. C2×C59 | #2024 | semidirect |
| 211. C59 | C2×#2024 | semidirect |
| 365. C2 | #21425238 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14273727 | 2 |
| C22×#14273652 | 2 |
| C2×#16837308 | 2 |
| #21425238 | 2 |
| C2×#16837165 | 2 |
| C2×C59×#336 | 2 |
| C2×#2024 | 59 |