Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
466 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 2. #14545933 | C2 | semidirect |
| 4. C2×C8×#3633 | C2 | semidirect |
| 5. #14545792 | C2 | semidirect |
| 6. #14545790 | C2 | semidirect |
| 59. C17×#102 | C8 | semidirect |
| 60. #10587503 | C8 | semidirect |
| 61. #10587492 | C8 | semidirect |
| 62. #10587480 | C8 | semidirect |
| 266. #102 | #3633 | semidirect |
| 276. C17 | #9554 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545934 | 2 |
| #14545933 | 2 |
| C2×D4⋊#3633 | 2 |
| C2×C8×#3633 | 2 |
| #14545792 | 2 |
| #14545790 | 2 |
| #102×#595 | 2 |
| #9554 | 17 |