Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
360 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 100 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. #14545145 | C2 | semidirect |
| 2. C4×#10587538 | C2 | semidirect |
| 3. #14543751 | C2 | semidirect |
| 4. #14543735 | C2 | semidirect |
| 111. D68 | M32 | semidirect |
| 117. Dic34 | M32 | semidirect |
| 201. C17 | #11615 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545145 | 2 |
| C4×#10587538 | 2 |
| #14543751 | 2 |
| #14543735 | 2 |
| #14537740 | 2 |
| #11615 | 17 |