Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
332 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 332 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. #41×Dic37 | C2 | semidirect |
| 3. C2×#11924462 | C2 | semidirect |
| 4. #14557506 | C2 | semidirect |
| 5. #14557304 | C2 | semidirect |
| 6. #14557292 | C2 | semidirect |
| 7. C37×#421 | C2 | semidirect |
| 10. #11924566 | C4 | semidirect |
| 12. #11924561 | C4 | semidirect |
| 45. C2×D148 | C2×C4 | semidirect |
| 47. C2×Dic74 | C2×C4 | semidirect |
| 68. #10596934 | C2×C4 | semidirect |
| 132. #421 | D37 | semidirect |
| 137. C37 | #1906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558331 | 2 |
| #41×Dic37 | 2 |
| C2×#11924462 | 2 |
| #14557506 | 2 |
| #14557304 | 2 |
| #14557292 | 2 |
| C37×#421 | 2 |
| #1906 | 37 |