Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
508 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 103 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×#10587665 | C2 | semidirect |
| 2. C2×#11763909 | C2 | semidirect |
| 3. #14545952 | C2 | semidirect |
| 4. #14545864 | C2 | semidirect |
| 48. #10587665 | D4 | semidirect |
| 163. C22×C17 | #350 | semidirect |
| 170. C2×D17 | #350 | semidirect |
| 247. C17 | #12983 | semidirect |
| 346. C22 | #11763909 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587665 | 2 |
| C2×#11763909 | 2 |
| #14545952 | 2 |
| #14545864 | 2 |
| #14545498 | 2 |
| #12983 | 17 |