Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
390 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14545985 | C2 | semidirect |
| 2. #14545981 | C2 | semidirect |
| 3. #14545806 | C2 | semidirect |
| 4. #14545805 | C2 | semidirect |
| 220. C17 | #11489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545985 | 2 |
| #14545981 | 2 |
| #14545806 | 2 |
| #14545805 | 2 |
| C2×#11763842 | 2 |
| #11489 | 17 |