Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
4462 conjugacy classes of subgroups.
The subgroup lattice has 322 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #95×#595 | C2 | direct (N × H) |
| 8. C22×C4×#595 | C4 | semidirect |
| 10. C2×(C2×#595)⋊C4 | C4 | semidirect |
| 13. C2×#10587502 | C4 | semidirect |
| 14. #95×D17 | C4 | semidirect |
| 16. C2×C17×#95 | C4 | semidirect |
| 38. C2×C4×#595 | C2×C4 | semidirect |
| 39. (C2×#595)⋊C4 | C2×C4 | semidirect |
| 40. C17×#95 | C2×C4 | semidirect |
| 41. #10587502 | C2×C4 | semidirect |
| 59. C22×#595 | C42 | semidirect |
| 68. C22×C4×C17 | C42 | semidirect |
| 71. C22×Dic17 | C42 | semidirect |
| 79. C2×C4×D17 | C42 | semidirect |
| 111. C2×#595 | #95 | direct (N × H) |
| 113. C2×#595 | C2×C42 | semidirect |
| 118. C2×C4×C17 | C2×C42 | semidirect |
| 121. C2×Dic17 | C2×C42 | semidirect |
| 153. #595 | C2×#95 | direct (N × H) |
| 167. C2×#95 | #595 | direct (N × H) |
| 168. C2×C17 | C4×#95 | semidirect |
| 172. D17 | C4×#95 | semidirect |
| 201. #95 | C2×#595 | direct (N × H) |
| 202. C17 | C2×C4×#95 | semidirect |
| 241. C22×C4 | C4×#595 | semidirect |
| 285. C2×C4 | C2×C4×#595 | semidirect |
| 317. C2 | #95×#595 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×#595 | 2 |
| C22×(C2×#595)⋊C4 | 2 |
| #95×#595 | 2 |
| C2×#95×D17 | 2 |
| C2×C4×#95 | 17 |