Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
462 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 109 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. #14545908 | C2 | semidirect |
| 3. #14545788 | C2 | semidirect |
| 38. C2×M16×C17 | C8 | semidirect |
| 39. C2×#63223 | C8 | semidirect |
| 42. C2×#63218 | C8 | semidirect |
| 43. C2×#63218 | C8 | semidirect |
| 194. C2×M16 | #3633 | semidirect |
| 221. C17 | #8602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545908 | 2 |
| #14545896 | 2 |
| #14545788 | 2 |
| C2×#11763775 | 2 |
| #8602 | 17 |