Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
424 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 424 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 |
|---|---|---|
| 26. #11763219 | C4 | semidirect |
| 27. #11763218 | C4 | semidirect |
| 28. #11763177 | C4 | semidirect |
| 34. C17×#491 | C4 | semidirect |
| 211. #491 | #595 | semidirect |
| 291. C17 | #9380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545284 | 2 |
| #14544959 | 2 |
| #14544247 | 2 |
| #14544207 | 2 |
| #14543645 | 2 |
| #14543634 | 2 |
| #14539985 | 2 |
| #9380 | 17 |