Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
264 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 85 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. C2×#11924471 | C2 | semidirect |
| 3. C2×#11924467 | C2 | semidirect |
| 6. #14557301 | C2 | semidirect |
| 7. C37×#343 | C2 | semidirect |
| 10. #11924544 | C4 | semidirect |
| 110. #343 | D37 | semidirect |
| 111. C37 | #1815 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924544 | 2 |
| C2×#11924471 | 2 |
| C2×#11924467 | 2 |
| #14557535 | 2 |
| #14557532 | 2 |
| #14557301 | 2 |
| C37×#343 | 2 |
| #1815 | 37 |