Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
434 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 98 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. #14545114 | C2 | semidirect |
| 2. #14544326 | C2 | semidirect |
| 3. #14543797 | C2 | semidirect |
| 4. #14543796 | C2 | semidirect |
| 8. #11763730 | C22 | semidirect |
| 10. #11763671 | C22 | semidirect |
| 191. D17 | #1360 | semidirect |
| 228. C17 | C2×#1360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545114 | 2 |
| #14544326 | 2 |
| #14543797 | 2 |
| #14543796 | 2 |
| D17×#495 | 2 |
| C2×#1360 | 17 |