Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
514 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 514 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 |
|---|---|---|
| 1. C2×#11763252 | C2 | semidirect |
| 3. C2×#11763084 | C2 | semidirect |
| 4. C2×#11762626 | C2 | semidirect |
| 5. #14530513 | C2 | semidirect |
| 6. #14526896 | C2 | semidirect |
| 7. C17×#2115 | C2 | semidirect |
| 189. #2115 | D17 | semidirect |
| 285. C17 | #13324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763252 | 2 |
| #14538504 | 2 |
| C2×#11763084 | 2 |
| C2×#11762626 | 2 |
| #14530513 | 2 |
| #14526896 | 2 |
| C17×#2115 | 2 |
| #13324 | 17 |