Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
248 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 5. C2×#10587538 | C4 | semidirect |
| 6. C22×#63216 | C4 | semidirect |
| 8. #11763705 | C4 | semidirect |
| 153. C17 | #7207 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545020 | 2 |
| #14545014 | 2 |
| #14528586 | 2 |
| #7207 | 17 |