Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
510 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 510 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. #14545908 | C2 | semidirect |
| 2. #14545904 | C2 | semidirect |
| 3. #14545898 | C2 | semidirect |
| 4. #14545893 | C2 | semidirect |
| 43. C2×D8×C17 | C8 | semidirect |
| 44. C2×#63228 | C8 | semidirect |
| 49. C2×D136 | C8 | semidirect |
| 199. C2×D8 | #3633 | semidirect |
| 226. C17 | #9668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545908 | 2 |
| #14545904 | 2 |
| #14545898 | 2 |
| #14545893 | 2 |
| C2×D8×#595 | 2 |
| #9668 | 17 |