Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
292 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 65 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×#10587665 | C4 | semidirect |
| 7. #11763906 | C4 | semidirect |
| 157. C17 | #7200 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545952 | 2 |
| #14545949 | 2 |
| #14544522 | 2 |
| #7200 | 17 |