Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 306 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 |
|---|---|---|
| 42. C17×#108 | C8 | semidirect |
| 43. #10587493 | C8 | semidirect |
| 44. #10587490 | C8 | semidirect |
| 146. #108 | #3633 | semidirect |
| 161. C17 | #9607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545909 | 2 |
| C2×#11763898 | 2 |
| #14545893 | 2 |
| #14545796 | 2 |
| #108×#595 | 2 |
| #9607 | 17 |