Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
348 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 71 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×#11924566 | C2 | semidirect |
| 2. #14558104 | C2 | semidirect |
| 3. #14557550 | C2 | semidirect |
| 4. #14557543 | C2 | semidirect |
| 5. #14557507 | C2 | semidirect |
| 6. #14557304 | C2 | semidirect |
| 144. C37 | #2009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924566 | 2 |
| #14558104 | 2 |
| #14557550 | 2 |
| #14557543 | 2 |
| #14557507 | 2 |
| #14557304 | 2 |
| C37×#575 | 2 |
| #2009 | 37 |