Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
312 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14530587 | C2 | semidirect |
| 2. C2×#11762560 | C2 | semidirect |
| 3. #14526836 | C2 | semidirect |
| 4. #14526827 | C2 | semidirect |
| 191. C17 | #11945 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530587 | 2 |
| C2×#11762560 | 2 |
| #14526836 | 2 |
| #14526827 | 2 |
| C17×#3168 | 2 |
| #11945 | 17 |