Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
726 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14528708 | C2 | semidirect |
| 4. #14526636 | C2 | semidirect |
| 5. C17×#2310 | C2 | semidirect |
| 6. C2×#10587633 | C4 | semidirect |
| 11. #11762716 | C4 | semidirect |
| 140. #2310 | D17 | semidirect |
| 221. C17 | #9466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14532438 | 2 |
| #14528708 | 2 |
| #14527312 | 2 |
| #14526636 | 2 |
| C17×#2310 | 2 |
| #9466 | 17 |