Finite Group DatabasebetaFinite Group DatabasebetaOrder 17152.
428 conjugacy classes of subgroups.
The subgroup lattice has 330 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22558203 | C2 | direct (N × H) |
| 163. C2×C67 | #1342 | semidirect |
| 169. C67 | C2×#1342 | semidirect |
| 327. C2 | #22558203 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16863178 | 2 |
| C2×C67⋊#338 | 2 |
| #22558203 | 2 |
| C2×#470×C67 | 2 |
| C2×#1342 | 67 |