Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14531532 | C2 | semidirect |
| 3. #14527466 | C2 | semidirect |
| 5. #14526644 | C2 | semidirect |
| 6. #14526613 | C2 | semidirect |
| 9. #11763181 | C4 | semidirect |
| 10. #11763161 | C4 | semidirect |
| 97. C42×C17 | SD16 | semidirect |
| 249. C17 | #9301 | semidirect |
| 291. C42 | #63229 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539706 | 2 |
| #14531532 | 2 |
| #14527466 | 2 |
| #14527344 | 2 |
| #14526644 | 2 |
| #14526613 | 2 |
| C17×#1963 | 2 |
| #9301 | 17 |