Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
514 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14527239 | C2 | semidirect |
| 5. #14526674 | C2 | semidirect |
| 6. #14526622 | C2 | semidirect |
| 7. C17×#1526 | C2 | semidirect |
| 179. #1526 | D17 | semidirect |
| 285. C17 | #9212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538849 | 2 |
| C4×#10587593 | 2 |
| #14527239 | 2 |
| #14527224 | 2 |
| #14526674 | 2 |
| #14526622 | 2 |
| C17×#1526 | 2 |
| #9212 | 17 |