Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 29. C17×#97 | C8 | semidirect |
| 30. #10587486 | C8 | semidirect |
| 31. #10587486 | C8 | semidirect |
| 32. #10587474 | C8 | semidirect |
| 126. #97 | #3633 | semidirect |
| 130. C17 | #8801 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545794 | 2 |
| #14545789 | 2 |
| #14545788 | 2 |
| #97×#595 | 2 |
| #8801 | 17 |