Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
954 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 163 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. #14543198 | C2 | semidirect |
| 2. #14540171 | C2 | semidirect |
| 3. #14527922 | C2 | semidirect |
| 4. #14527903 | C2 | semidirect |
| 5. #14527860 | C2 | semidirect |
| 6. #14527841 | C2 | semidirect |
| 7. #14527519 | C2 | semidirect |
| 8. #14527240 | C2 | semidirect |
| 277. C17 | #18688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543198 | 2 |
| #14540171 | 2 |
| #14527922 | 2 |
| #14527903 | 2 |
| #14527860 | 2 |
| #14527841 | 2 |
| #14527519 | 2 |
| #14527240 | 2 |
| C17×#3147 | 2 |
| #18688 | 17 |