Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
702 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 702 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. C2×#11762605 | C2 | semidirect |
| 3. #14528708 | C2 | semidirect |
| 4. #14526910 | C2 | semidirect |
| 5. C22×C17×#101 | C2 | semidirect |
| 61. C17×#101 | D4 | semidirect |
| 197. C22×#101 | D17 | semidirect |
| 211. C22×C17 | #355 | semidirect |
| 296. #101 | C22⋊D17 | semidirect |
| 304. C17 | #13092 | semidirect |
| 443. C22 | #11762605 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14532438 | 2 |
| C2×#11762605 | 2 |
| #14528708 | 2 |
| #14526910 | 2 |
| C22×C17×#101 | 2 |
| #13092 | 17 |