Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
458 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14528991 | C2 | semidirect |
| 4. #14528988 | C2 | semidirect |
| 6. #14526672 | C2 | semidirect |
| 7. C17×#1298 | C2 | semidirect |
| 161. C2×Dic17 | #108 | semidirect |
| 179. #1298 | D17 | semidirect |
| 278. C17 | #8860 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537823 | 2 |
| #14529079 | 2 |
| #14528991 | 2 |
| #14528988 | 2 |
| #14527100 | 2 |
| #14526672 | 2 |
| C17×#1298 | 2 |
| #8860 | 17 |