Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
356 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 22. #11762556 | C4 | semidirect |
| 23. #11762556 | C4 | semidirect |
| 24. #11762554 | C4 | semidirect |
| 25. #11762554 | C4 | semidirect |
| 213. C17 | #8936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537885 | 2 |
| #14529761 | 2 |
| #14527573 | 2 |
| #14527572 | 2 |
| #14527448 | 2 |
| #14526617 | 2 |
| C17×#1276 | 2 |
| #8936 | 17 |