Order 15616.
1462 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 |
|---|---|---|
| 2. #21448437 | C2 | semidirect |
| 3. #21445807 | C2 | semidirect |
| 4. #21445552 | C2 | semidirect |
| 14. C2×C4×Q8×C61 | C4 | semidirect |
| 15. C2×C4×D4×C61 | C4 | semidirect |
| 17. C2×#117×C61 | C4 | semidirect |
| 19. C22×C4⋊C4×C61 | C4 | semidirect |
| 62. C2×Q8×C61 | C4⋊C4 | semidirect |
| 67. C2×D4×C61 | C4⋊C4 | semidirect |
| 75. C22×C4×C61 | C4⋊C4 | semidirect |
| 181. C2×C4×Q8 | Dic61 | semidirect |
| 182. C2×C4×D4 | Dic61 | semidirect |
| 185. C2×#117 | Dic61 | semidirect |
| 187. C22×C4⋊C4 | Dic61 | semidirect |
| 194. C61 | #20634 | semidirect |
| 236. C2×Q8 | C4⋊Dic61 | semidirect |
| 241. C2×D4 | C4⋊Dic61 | semidirect |
| 250. C22×C4 | C4⋊Dic61 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839736 | 2 |
| #21448437 | 2 |
| #21445807 | 2 |
| #21445552 | 2 |
| C2×C61×#520 | 2 |
| #20634 | 61 |