Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
182 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 63 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. C8×D148 | C2 | semidirect |
| 3. #14557283 | C2 | semidirect |
| 4. D4⋊#64436 | C2 | semidirect |
| 5. #14557260 | C2 | semidirect |
| 6. #14557255 | C2 | semidirect |
| 7. C37×#436 | C2 | semidirect |
| 54. D148 | M16 | semidirect |
| 85. #436 | D37 | semidirect |
| 91. C37 | #1586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10596939 | 2 |
| C8×D148 | 2 |
| #14557283 | 2 |
| D4⋊#64436 | 2 |
| #14557260 | 2 |
| #14557255 | 2 |
| C37×#436 | 2 |
| #1586 | 37 |