Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
390 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 6. #11763899 | C4 | semidirect |
| 7. #11763898 | C4 | semidirect |
| 30. #10587532 | C8 | semidirect |
| 35. C17×#97 | C8 | semidirect |
| 36. #10587486 | C8 | semidirect |
| 37. #10587486 | C8 | semidirect |
| 38. #10587474 | C8 | semidirect |
| 141. #97 | #3633 | semidirect |
| 147. C17 | #8268 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545908 | 2 |
| #14545893 | 2 |
| #14545789 | 2 |
| #97×#595 | 2 |
| #8268 | 17 |