Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
222 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14557581 | C2 | semidirect |
| 4. #14557291 | C2 | semidirect |
| 5. C37×#430 | C2 | semidirect |
| 67. #430 | D37 | semidirect |
| 71. C37 | #2091 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557581 | 2 |
| #14557496 | 2 |
| #14557291 | 2 |
| C37×#430 | 2 |
| #2091 | 37 |