Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#11924567 | C2 | semidirect |
| 3. #14558013 | C2 | semidirect |
| 4. #14557752 | C2 | semidirect |
| 5. #14557745 | C2 | semidirect |
| 6. #14557740 | C2 | semidirect |
| 7. #14557735 | C2 | semidirect |
| 8. #14557560 | C2 | semidirect |
| 9. #14557534 | C2 | semidirect |
| 10. C2×#11924460 | C2 | semidirect |
| 11. C37×#536 | C2 | semidirect |
| 149. #536 | D37 | semidirect |
| 158. C37 | #3046 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924567 | 2 |
| C2×#11924556 | 2 |
| #14558013 | 2 |
| #14557752 | 2 |
| #14557745 | 2 |
| #14557740 | 2 |
| #14557735 | 2 |
| #14557560 | 2 |
| #14557534 | 2 |
| C2×#11924460 | 2 |
| C37×#536 | 2 |
| #3046 | 37 |