Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
388 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 25. #11762626 | C4 | semidirect |
| 26. #11762625 | C4 | semidirect |
| 27. #11762624 | C4 | semidirect |
| 28. C17×#362 | C4 | semidirect |
| 187. #362 | #595 | semidirect |
| 235. C17 | #12941 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545545 | 2 |
| #14545136 | 2 |
| C2×#11763722 | 2 |
| #14544902 | 2 |
| #14543847 | 2 |
| #14543840 | 2 |
| D17×#362 | 2 |
| #12941 | 17 |