Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
752 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 107 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. #14528712 | C2 | semidirect |
| 4. #14526910 | C2 | semidirect |
| 5. C2×C17×#413 | C2 | semidirect |
| 62. C17×#101 | D4 | semidirect |
| 212. C2×#413 | D17 | semidirect |
| 320. #101 | C22⋊D17 | semidirect |
| 328. C17 | #13093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14532399 | 2 |
| C2×#11762605 | 2 |
| #14528712 | 2 |
| #14526910 | 2 |
| C2×C17×#413 | 2 |
| #13093 | 17 |