Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
292 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 102 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 |
|---|---|---|
| 14. #11763738 | C4 | semidirect |
| 15. #11763737 | C4 | semidirect |
| 16. #11763734 | C4 | semidirect |
| 17. #11763733 | C4 | semidirect |
| 23. #11762587 | C4 | semidirect |
| 24. #11762586 | C4 | semidirect |
| 25. #11762586 | C4 | semidirect |
| 26. C17×#347 | C4 | semidirect |
| 151. #347 | #595 | semidirect |
| 191. C17 | #12678 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545140 | 2 |
| #14545132 | 2 |
| #14544604 | 2 |
| #14544590 | 2 |
| #14543865 | 2 |
| #14543862 | 2 |
| D17×#347 | 2 |
| #12678 | 17 |