Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1166 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 1166 conjugacy classes of subgroups — too many to draw. Only its 167 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. #14538906 | C2 | semidirect |
| 3. #14527786 | C2 | semidirect |
| 4. #14527752 | C2 | semidirect |
| 5. #14527291 | C2 | semidirect |
| 6. #14527128 | C2 | semidirect |
| 7. C17×#2399 | C2 | semidirect |
| 169. #2399 | D17 | semidirect |
| 269. C17 | #18187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14542555 | 2 |
| #14538906 | 2 |
| #14527786 | 2 |
| #14527752 | 2 |
| #14527291 | 2 |
| #14527128 | 2 |
| C17×#2399 | 2 |
| #18187 | 17 |