Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
242 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14557586 | C2 | semidirect |
| 3. #14557278 | C2 | semidirect |
| 4. #14557276 | C2 | semidirect |
| 5. C37×#432 | C2 | semidirect |
| 82. #432 | D37 | semidirect |
| 86. C37 | #1553 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558083 | 2 |
| #14557586 | 2 |
| #14557278 | 2 |
| #14557276 | 2 |
| C37×#432 | 2 |
| #1553 | 37 |