Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
510 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 1. C22×#10587670 | C2 | semidirect |
| 2. C2×#11763908 | C2 | semidirect |
| 3. #14545951 | C2 | semidirect |
| 4. #14545860 | C2 | semidirect |
| 46. #10587670 | D4 | semidirect |
| 171. C22×C17 | #349 | semidirect |
| 253. C17 | #12985 | semidirect |
| 357. C22 | #11763908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587670 | 2 |
| C2×#11763908 | 2 |
| #14545951 | 2 |
| #14545860 | 2 |
| C2×#11763838 | 2 |
| #12985 | 17 |