Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
414 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 116 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. #14545116 | C2 | semidirect |
| 2. C4×#10587538 | C2 | semidirect |
| 3. #14543737 | C2 | semidirect |
| 8. C4⋊#63216 | C22 | semidirect |
| 9. #11763697 | C22 | semidirect |
| 179. C17 | #11587 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545116 | 2 |
| C4×#10587538 | 2 |
| #14543737 | 2 |
| C2×#11762886 | 2 |
| #11587 | 17 |