Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
392 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 2. #14544503 | C2 | semidirect |
| 4. #14543995 | C2 | semidirect |
| 5. #14543679 | C2 | semidirect |
| 6. #14543672 | C2 | semidirect |
| 8. #11763859 | C4 | semidirect |
| 9. #11763858 | C4 | semidirect |
| 10. #11763844 | C4 | semidirect |
| 13. D4×#3624 | C4 | semidirect |
| 22. #11763666 | C4 | semidirect |
| 23. #11763664 | C4 | semidirect |
| 261. C17 | #8248 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545597 | 2 |
| #14544503 | 2 |
| #14544235 | 2 |
| #14543995 | 2 |
| #14543679 | 2 |
| #14543672 | 2 |
| #14527267 | 2 |
| #8248 | 17 |