Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
294 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 83 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×#11924527 | C2 | semidirect |
| 5. #14557295 | C2 | semidirect |
| 6. #14557287 | C2 | semidirect |
| 7. C37×#340 | C2 | semidirect |
| 126. #340 | D37 | semidirect |
| 128. C37 | #2025 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924527 | 2 |
| C2×#11924458 | 2 |
| C2×#11924456 | 2 |
| #14557434 | 2 |
| #14557295 | 2 |
| #14557287 | 2 |
| C37×#340 | 2 |
| #2025 | 37 |