Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
908 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 908 conjugacy classes of subgroups — too many to draw. Only its 147 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. #14528718 | C2 | semidirect |
| 4. #14526662 | C2 | semidirect |
| 11. #11762721 | C4 | semidirect |
| 30. C22×Dic34 | C2×C4 | semidirect |
| 48. #10587502 | C2×C4 | semidirect |
| 121. C23×C17 | #103 | semidirect |
| 250. C17 | #9013 | semidirect |
| 319. C23 | #10587481 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762721 | 2 |
| #14528718 | 2 |
| C2×#11762533 | 2 |
| #14526662 | 2 |
| C17×#2315 | 2 |
| #9013 | 17 |