Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
376 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 376 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. #14528830 | C2 | semidirect |
| 3. #14526773 | C2 | semidirect |
| 4. #14526770 | C2 | semidirect |
| 5. C17×#2115 | C2 | semidirect |
| 6. C2×#10587590 | C4 | semidirect |
| 8. #11763067 | C4 | semidirect |
| 10. #11763062 | C4 | semidirect |
| 15. C2×#10587488 | C4 | semidirect |
| 148. #2115 | D17 | semidirect |
| 233. C17 | #11867 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538446 | 2 |
| #14528830 | 2 |
| #14526773 | 2 |
| #14526770 | 2 |
| C17×#2115 | 2 |
| #11867 | 17 |