Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
878 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 878 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 |
|---|---|---|
| 2. #14528704 | C2 | semidirect |
| 3. #14527122 | C2 | semidirect |
| 4. #14526689 | C2 | semidirect |
| 5. C17×#2975 | C2 | semidirect |
| 34. C2×M16×C17 | D4 | semidirect |
| 146. C2×C4×C17 | #100 | semidirect |
| 159. #2975 | D17 | semidirect |
| 232. C2×M16 | C22⋊D17 | semidirect |
| 255. C17 | #9504 | semidirect |
| 350. C2×C4 | #10587494 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14532140 | 2 |
| #14528704 | 2 |
| #14527122 | 2 |
| #14526689 | 2 |
| C17×#2975 | 2 |
| #9504 | 17 |