Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
316 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14530479 | C2 | semidirect |
| 2. #14530473 | C2 | semidirect |
| 3. #14526957 | C2 | semidirect |
| 4. #14526951 | C2 | semidirect |
| 203. C17 | #13611 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530479 | 2 |
| #14530473 | 2 |
| #14526957 | 2 |
| #14526951 | 2 |
| C17×#3221 | 2 |
| #13611 | 17 |