Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
336 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 3. #14526954 | C2 | semidirect |
| 4. #14526948 | C2 | semidirect |
| 6. #11763421 | C4 | semidirect |
| 7. #11763204 | C4 | semidirect |
| 10. #11763163 | C4 | semidirect |
| 15. #11762870 | C4 | semidirect |
| 41. #10587556 | C2×C4 | semidirect |
| 42. #10587555 | C2×C4 | semidirect |
| 54. #10587474 | C2×C4 | semidirect |
| 55. C4×#3622 | C2×C4 | semidirect |
| 209. C17 | #13610 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539856 | 2 |
| #14530456 | 2 |
| #14526954 | 2 |
| #14526948 | 2 |
| C17×#2127 | 2 |
| #13610 | 17 |