Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
374 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 7. #11763214 | C4 | semidirect |
| 8. #11763189 | C4 | semidirect |
| 9. #11763160 | C4 | semidirect |
| 183. C17 | #9765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539370 | 2 |
| #14527547 | 2 |
| #14527398 | 2 |
| #14527295 | 2 |
| C17×#1746 | 2 |
| #9765 | 17 |