Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
432 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 432 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 |
|---|---|---|
| 2. C2×#11762620 | C2 | semidirect |
| 3. #14530494 | C2 | semidirect |
| 4. C2×#11762590 | C2 | semidirect |
| 5. #14528818 | C2 | semidirect |
| 6. #14526889 | C2 | semidirect |
| 7. C17×#2159 | C2 | semidirect |
| 59. C17×M32 | D4 | semidirect |
| 179. #2159 | D17 | semidirect |
| 268. M32 | D68 | semidirect |
| 283. C17 | #13386 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538394 | 2 |
| C2×#11762620 | 2 |
| #14530494 | 2 |
| C2×#11762590 | 2 |
| #14528818 | 2 |
| #14526889 | 2 |
| C17×#2159 | 2 |
| #13386 | 17 |