Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
552 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14529769 | C2 | semidirect |
| 3. #14528811 | C2 | semidirect |
| 4. #14528562 | C2 | semidirect |
| 5. #14527355 | C2 | semidirect |
| 8. C22×#63229 | C4 | semidirect |
| 16. C2×#10587479 | C4 | semidirect |
| 17. C2×#10587481 | C4 | semidirect |
| 18. C2×#10587503 | C4 | semidirect |
| 195. #3622 | #99 | semidirect |
| 310. C17 | #9786 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763036 | 2 |
| #14529769 | 2 |
| #14528811 | 2 |
| #14528562 | 2 |
| #14527355 | 2 |
| #14527352 | 2 |
| C17×#1964 | 2 |
| #9786 | 17 |