Order 15104.
1010 conjugacy classes of subgroups.
The subgroup lattice has 348 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #21423983 | C2 | semidirect |
| 5. #21423978 | C2 | semidirect |
| 11. #16837440 | C4 | semidirect |
| 12. #16837440 | C4 | semidirect |
| 15. C2×#14273661 | C4 | semidirect |
| 16. C2×#14273659 | C4 | semidirect |
| 19. #16837357 | C4 | semidirect |
| 26. C2×#108×C59 | C4 | semidirect |
| 51. #14273637 | C2×C4 | semidirect |
| 53. C8×Dic59 | C2×C4 | semidirect |
| 68. #108×C59 | C2×C4 | semidirect |
| 69. #108×C59 | C2×C4 | semidirect |
| 186. C2×#108 | Dic59 | semidirect |
| 202. C59 | #20446 | semidirect |
| 234. #108 | C2×Dic59 | semidirect |
| 235. #108 | C2×Dic59 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16837440 | 2 |
| #21432514 | 2 |
| C2×#16837357 | 2 |
| #21423983 | 2 |
| #21423978 | 2 |
| #21423807 | 2 |
| C22×#108×C59 | 2 |
| #20446 | 59 |