Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
422 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 21. #11763214 | C4 | semidirect |
| 22. #11763212 | C4 | semidirect |
| 23. #11763205 | C4 | semidirect |
| 26. C17×#498 | C4 | semidirect |
| 166. #498 | #595 | semidirect |
| 223. C17 | #9427 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545329 | 2 |
| #14544314 | 2 |
| #14544208 | 2 |
| #14544207 | 2 |
| #14543644 | 2 |
| #14539325 | 2 |
| #9427 | 17 |