Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
556 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 556 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×#10587497 | C2 | semidirect |
| 2. C2×#11763079 | C2 | semidirect |
| 3. C2×#11762622 | C2 | semidirect |
| 4. C2×#11762621 | C2 | semidirect |
| 5. #14530398 | C2 | semidirect |
| 6. #14526877 | C2 | semidirect |
| 7. C2×C17×#472 | C2 | semidirect |
| 174. C2×#472 | D17 | semidirect |
| 272. C17 | #13313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587497 | 2 |
| C2×#11763079 | 2 |
| C2×#11762622 | 2 |
| C2×#11762621 | 2 |
| #14530398 | 2 |
| #14526877 | 2 |
| C2×C17×#472 | 2 |
| #13313 | 17 |