Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
526 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 124 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. #14544985 | C2 | semidirect |
| 3. C4×#10587534 | C2 | semidirect |
| 4. #14543841 | C2 | semidirect |
| 9. #11763721 | C4 | semidirect |
| 15. C4×D136 | C4 | semidirect |
| 16. D8×Dic17 | C4 | semidirect |
| 17. #11762891 | C4 | semidirect |
| 23. C4×D8×C17 | C4 | semidirect |
| 47. #10587534 | C2×C4 | semidirect |
| 49. #10587529 | C2×C4 | semidirect |
| 81. D8×C17 | C42 | semidirect |
| 99. D136 | C42 | semidirect |
| 179. C4×D8 | #595 | semidirect |
| 233. C17 | #12637 | semidirect |
| 254. D8 | C4×#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763721 | 2 |
| #14544985 | 2 |
| C4×#10587534 | 2 |
| #14543841 | 2 |
| C4×D8×D17 | 2 |
| #12637 | 17 |