Order 15104.
830 conjugacy classes of subgroups.
The subgroup lattice has 324 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21421930 | C2 | direct (N × H) |
| 27. C22×C59⋊C8 | C8 | semidirect |
| 94. C2×C59⋊C8 | C2×C8 | semidirect |
| 160. C2×C59 | #1277 | semidirect |
| 182. C59 | C2×#1277 | semidirect |
| 317. C2 | #21421930 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊(C59⋊C8) | 2 |
| C22×C4×C59⋊C8 | 2 |
| #21421930 | 2 |
| C22×C4⋊C8×C59 | 2 |
| C2×#1277 | 59 |