Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
284 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 1. #14545159 | C2 | semidirect |
| 2. #14545006 | C2 | semidirect |
| 3. #14543791 | C2 | semidirect |
| 4. #14543790 | C2 | semidirect |
| 5. #14543788 | C2 | semidirect |
| 6. #14543787 | C2 | semidirect |
| 196. C17 | #11912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545159 | 2 |
| #14545006 | 2 |
| #14543791 | 2 |
| #14543790 | 2 |
| #14543788 | 2 |
| #14543787 | 2 |
| #14539414 | 2 |
| #11912 | 17 |