Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
850 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 850 conjugacy classes of subgroups — too many to draw. Only its 167 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. #14528637 | C2 | semidirect |
| 3. C2×#11762552 | C2 | semidirect |
| 4. C17×#1831 | C2 | semidirect |
| 38. C4⋊#3622 | D4 | semidirect |
| 105. #1831 | D17 | semidirect |
| 166. C17 | #9706 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537179 | 2 |
| #14528637 | 2 |
| C2×#11762552 | 2 |
| C17×#1831 | 2 |
| #9706 | 17 |