Order 18688.
1966 conjugacy classes of subgroups.
The subgroup lattice has 388 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #22615583 | C2 | direct (N × H) |
| 188. C2×C73 | #2606 | semidirect |
| 204. C73 | C2×#2606 | semidirect |
| 381. C2 | #22615583 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22615583 | 2 |
| C2×#17988520 | 2 |
| C2×#17988485 | 2 |
| C2×#17988484 | 2 |
| C2×#17988474 | 2 |
| C2×#17988471 | 2 |
| C2×#17988455 | 2 |
| C2×#17988433 | 2 |
| C2×C4×C4⋊C4×C73 | 2 |
| C2×#2606 | 73 |