Order 15104.
1674 conjugacy classes of subgroups.
The subgroup lattice has 412 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #21437064 | C2 | semidirect |
| 3. #21437029 | C2 | semidirect |
| 101. C2×Q16×C59 | Q8 | semidirect |
| 257. C59 | #61379 | semidirect |
| 259. C2×Q16 | Dic118 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21437906 | 2 |
| #21437064 | 2 |
| #21437029 | 2 |
| #21434624 | 2 |
| #21434620 | 2 |
| #21433934 | 2 |
| #21433901 | 2 |
| #21433036 | 2 |
| #21432964 | 2 |
| C2×C59×#441 | 2 |
| #61379 | 59 |