Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
534 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14529598 | C2 | semidirect |
| 3. C2×#11762548 | C2 | semidirect |
| 4. #14526665 | C2 | semidirect |
| 5. C17×#1847 | C2 | semidirect |
| 42. C17×#97 | D4 | semidirect |
| 126. #1847 | D17 | semidirect |
| 195. #97 | D68 | semidirect |
| 199. C17 | #10424 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14536830 | 2 |
| #14529598 | 2 |
| C2×#11762548 | 2 |
| #14526665 | 2 |
| C17×#1847 | 2 |
| #10424 | 17 |