Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
566 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14546027 | C2 | semidirect |
| 3. #14545899 | C2 | semidirect |
| 4. #14545789 | C2 | semidirect |
| 46. C17×#124 | C8 | semidirect |
| 47. #10587633 | C8 | semidirect |
| 48. #10587622 | C8 | semidirect |
| 51. #10587561 | C8 | semidirect |
| 198. #124 | #3633 | semidirect |
| 225. C17 | #8960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546027 | 2 |
| #14545904 | 2 |
| #14545899 | 2 |
| #14545789 | 2 |
| #124×#595 | 2 |
| #8960 | 17 |