Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
250 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 127 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. #14545871 | C2 | semidirect |
| 3. #14545868 | C2 | semidirect |
| 5. #11763918 | C4 | semidirect |
| 6. #11763917 | C4 | semidirect |
| 26. #10587528 | C2×C4 | semidirect |
| 80. #595 | M64 | semidirect |
| 117. C17 | C4×M64 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546015 | 2 |
| #14545871 | 2 |
| #14545868 | 2 |
| C2×C16×#595 | 2 |
| C4×M64 | 17 |