Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
272 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 272 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 |
|---|---|---|
| 4. #14557305 | C2 | semidirect |
| 5. #14557304 | C2 | semidirect |
| 6. #14557303 | C2 | semidirect |
| 7. C37×#344 | C2 | semidirect |
| 96. #344 | D37 | semidirect |
| 97. C37 | #1829 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558007 | 2 |
| C2×#11924452 | 2 |
| #14557305 | 2 |
| #14557304 | 2 |
| #14557303 | 2 |
| C37×#344 | 2 |
| #1829 | 37 |