Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
256 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 256 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 |
|---|---|---|
| 2. #14557587 | C2 | semidirect |
| 3. #14557583 | C2 | semidirect |
| 4. #14557257 | C2 | semidirect |
| 5. #14557256 | C2 | semidirect |
| 6. #14557256 | C2 | semidirect |
| 7. C37×#323 | C2 | semidirect |
| 126. #323 | D37 | semidirect |
| 127. C37 | #1469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924522 | 2 |
| #14557587 | 2 |
| #14557583 | 2 |
| #14557257 | 2 |
| #14557256 | 2 |
| C37×#323 | 2 |
| #1469 | 37 |