Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
500 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 3. #14528780 | C2 | semidirect |
| 4. #14526910 | C2 | semidirect |
| 5. C17×#1801 | C2 | semidirect |
| 170. #1801 | D17 | semidirect |
| 194. C4×C17 | #355 | semidirect |
| 263. C17 | #12801 | semidirect |
| 390. C4 | #11762605 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587633 | 2 |
| C2×#11762605 | 2 |
| #14528780 | 2 |
| #14526910 | 2 |
| C17×#1801 | 2 |
| #12801 | 17 |