Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
380 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. C2×#11762633 | C2 | semidirect |
| 3. C2×#11762632 | C2 | semidirect |
| 6. #14526887 | C2 | semidirect |
| 7. C17×#1388 | C2 | semidirect |
| 19. #11762594 | C4 | semidirect |
| 128. #1388 | D17 | semidirect |
| 196. C17 | #12933 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537392 | 2 |
| C2×#11762633 | 2 |
| C2×#11762632 | 2 |
| #14530413 | 2 |
| #14528840 | 2 |
| #14526887 | 2 |
| C17×#1388 | 2 |
| #12933 | 17 |