Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
562 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 562 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14539706 | C2 | semidirect |
| 2. C2×#11763099 | C2 | semidirect |
| 3. #14527470 | C2 | semidirect |
| 4. #14527183 | C2 | semidirect |
| 5. #14527105 | C2 | semidirect |
| 6. #14526679 | C2 | semidirect |
| 92. C2×D4×C17 | SD16 | semidirect |
| 286. C17 | #10180 | semidirect |
| 305. C2×D4 | #63229 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539706 | 2 |
| C2×#11763099 | 2 |
| #14527470 | 2 |
| #14527183 | 2 |
| #14527105 | 2 |
| #14526679 | 2 |
| C17×#3036 | 2 |
| #10180 | 17 |