Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
684 conjugacy classes of subgroups; only the 380 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 380 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. #14545125 | C2 | semidirect |
| 3. C2×#11763731 | C2 | semidirect |
| 119. C17 | #33401 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545751 | 2 |
| #14545125 | 2 |
| C2×#11763731 | 2 |
| #131×Dic17 | 2 |
| #33401 | 17 |