Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
224 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 81 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×#11924476 | C2 | semidirect |
| 3. #14557342 | C2 | semidirect |
| 4. C37×#427 | C2 | semidirect |
| 8. #11924558 | C4 | semidirect |
| 10. C2×Dic148 | C4 | semidirect |
| 12. C2×D296 | C4 | semidirect |
| 14. #11924476 | C22 | semidirect |
| 19. #106×C37 | C22 | semidirect |
| 87. #427 | D37 | semidirect |
| 89. C37 | #2145 | semidirect |
| 104. #106 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924558 | 2 |
| C2×#11924476 | 2 |
| #14557342 | 2 |
| C37×#427 | 2 |
| #2145 | 37 |