Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
528 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 528 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. #14545011 | C2 | semidirect |
| 2. C2×C22⋊#63216 | C2 | semidirect |
| 3. #14543706 | C2 | semidirect |
| 9. C22⋊#63216 | C22 | semidirect |
| 10. C22⋊#63216 | C22 | semidirect |
| 213. C17 | #11422 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545011 | 2 |
| C2×C22⋊#63216 | 2 |
| #14543706 | 2 |
| C2×#11762776 | 2 |
| #11422 | 17 |