Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
512 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 123 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. C4×#10587507 | C2 | semidirect |
| 4. #14526910 | C2 | semidirect |
| 5. C4×C17×#101 | C2 | semidirect |
| 18. #11762605 | C4 | semidirect |
| 52. C17×#101 | C2×C4 | semidirect |
| 56. #10587507 | C2×C4 | semidirect |
| 159. C4×#101 | D17 | semidirect |
| 239. #101 | C4×D17 | semidirect |
| 248. C17 | #12632 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531491 | 2 |
| C2×#11762605 | 2 |
| C4×#10587507 | 2 |
| #14526910 | 2 |
| C4×C17×#101 | 2 |
| #12632 | 17 |