Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
228 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 2. #14528154 | C2 | semidirect |
| 4. #14526856 | C2 | semidirect |
| 5. #14526834 | C2 | semidirect |
| 7. C17×#2183 | C2 | semidirect |
| 70. C16×C17 | SD16 | semidirect |
| 95. #2183 | D17 | semidirect |
| 154. C17 | #12444 | semidirect |
| 180. C16 | #63230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531040 | 2 |
| #14528154 | 2 |
| #14528144 | 2 |
| #14526856 | 2 |
| #14526834 | 2 |
| #14526831 | 2 |
| C17×#2183 | 2 |
| #12444 | 17 |