Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
556 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×#11763898 | C2 | semidirect |
| 4. #14545790 | C2 | semidirect |
| 47. C17×C22⋊C8 | C8 | semidirect |
| 48. C22⋊#3622 | C8 | semidirect |
| 49. #10587491 | C8 | semidirect |
| 91. C2×C8×C17 | C2×C8 | semidirect |
| 92. C2×#3622 | C2×C8 | semidirect |
| 150. C22×C17 | #334 | semidirect |
| 158. C2×D17 | #334 | semidirect |
| 226. C22⋊C8 | #3633 | semidirect |
| 229. C17 | #8830 | semidirect |
| 268. C2×C8 | C2×#3633 | semidirect |
| 337. C22 | #11763898 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊#3633 | 2 |
| #14545924 | 2 |
| C2×#11763898 | 2 |
| #14545790 | 2 |
| C22⋊C8×#595 | 2 |
| #8830 | 17 |