Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
360 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 97 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×#11924462 | C2 | semidirect |
| 3. C42×Dic37 | C2 | semidirect |
| 4. C37×#423 | C2 | semidirect |
| 6. #11924536 | C4 | semidirect |
| 7. #11924533 | C4 | semidirect |
| 8. #11924524 | C4 | semidirect |
| 36. C4×Dic37 | D4 | semidirect |
| 62. C4×C37 | #104 | semidirect |
| 74. #423 | D37 | semidirect |
| 77. C37 | #1962 | semidirect |
| 137. C4 | #11924462 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558083 | 2 |
| C2×#11924462 | 2 |
| C42×Dic37 | 2 |
| C37×#423 | 2 |
| #1962 | 37 |