Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
492 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 4. #14529001 | C2 | semidirect |
| 5. #14528998 | C2 | semidirect |
| 6. #14526910 | C2 | semidirect |
| 7. C17×#1394 | C2 | semidirect |
| 21. #11762605 | C4 | semidirect |
| 58. C17×#101 | C2×C4 | semidirect |
| 62. #10587507 | C2×C4 | semidirect |
| 183. #1394 | D17 | semidirect |
| 273. #101 | C4×D17 | semidirect |
| 280. C17 | #12972 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531895 | 2 |
| C2×#11762605 | 2 |
| #14529185 | 2 |
| #14529001 | 2 |
| #14528998 | 2 |
| #14526910 | 2 |
| C17×#1394 | 2 |
| #12972 | 17 |