Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
972 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 972 conjugacy classes of subgroups — too many to draw. Only its 143 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. #14531402 | C2 | semidirect |
| 4. #14526664 | C2 | semidirect |
| 5. C2×C17×#324 | C2 | semidirect |
| 12. #11762726 | C4 | semidirect |
| 154. C2×C4×C17 | #102 | semidirect |
| 172. C2×#324 | D17 | semidirect |
| 266. C17 | #9019 | semidirect |
| 377. C2×C4 | #10587492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762726 | 2 |
| #14531402 | 2 |
| #14528716 | 2 |
| #14526664 | 2 |
| C2×C17×#324 | 2 |
| #9019 | 17 |