Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
522 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #14526616 | C2 | semidirect |
| 4. #14526613 | C2 | semidirect |
| 5. C17×#1274 | C2 | semidirect |
| 38. #10587558 | C8 | semidirect |
| 129. #1274 | D17 | semidirect |
| 198. C17 | #8731 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531123 | 2 |
| #14527096 | 2 |
| #14526616 | 2 |
| #14526613 | 2 |
| C17×#1274 | 2 |
| #8731 | 17 |