Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
316 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14530273 | C2 | semidirect |
| 4. #14526796 | C2 | semidirect |
| 6. #14526723 | C2 | semidirect |
| 7. C17×#2235 | C2 | semidirect |
| 130. #2235 | D17 | semidirect |
| 212. C17 | #12290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540137 | 2 |
| #14530964 | 2 |
| #14530273 | 2 |
| #14526796 | 2 |
| #14526794 | 2 |
| #14526723 | 2 |
| C17×#2235 | 2 |
| #12290 | 17 |