Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
378 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #14539320 | C2 | semidirect |
| 5. #14526881 | C2 | semidirect |
| 6. #14526874 | C2 | semidirect |
| 7. C17×#1387 | C2 | semidirect |
| 38. C2×D136 | Q8 | semidirect |
| 138. #1387 | D17 | semidirect |
| 221. C17 | #13369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539320 | 2 |
| #14530501 | 2 |
| C2×#11762609 | 2 |
| #14529692 | 2 |
| #14526881 | 2 |
| #14526874 | 2 |
| C17×#1387 | 2 |
| #13369 | 17 |