Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
424 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14530570 | C2 | semidirect |
| 4. #14529567 | C2 | semidirect |
| 5. #14526880 | C2 | semidirect |
| 6. #14526872 | C2 | semidirect |
| 20. #11762622 | C4 | semidirect |
| 52. #10587490 | C2×C4 | semidirect |
| 59. #10587483 | C2×C4 | semidirect |
| 222. C17 | #12940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537636 | 2 |
| #14530570 | 2 |
| C2×#11762622 | 2 |
| #14529567 | 2 |
| #14526880 | 2 |
| #14526872 | 2 |
| C2×C17×#357 | 2 |
| #12940 | 17 |