Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1306 conjugacy classes of subgroups; only the 232 normal subgroups are shown.
This group has 1306 conjugacy classes of subgroups — too many to draw. Only its 232 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. #14545460 | C2 | semidirect |
| 2. #14544265 | C2 | semidirect |
| 3. #14544245 | C2 | semidirect |
| 5. #11763830 | C22 | semidirect |
| 6. #11763829 | C22 | semidirect |
| 11. C4×#63247 | C22 | semidirect |
| 12. #11763665 | C22 | semidirect |
| 65. #10587542 | C23 | semidirect |
| 248. C17 | #17666 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545460 | 2 |
| #14544265 | 2 |
| #14544245 | 2 |
| C22×#10587633 | 2 |
| #17666 | 17 |