Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
304 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #14557543 | C2 | semidirect |
| 4. C2×#11924454 | C2 | semidirect |
| 5. #14557305 | C2 | semidirect |
| 6. #14557291 | C2 | semidirect |
| 11. C2×#10596942 | C4 | semidirect |
| 12. C2×#10596940 | C4 | semidirect |
| 115. C37 | #1902 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924566 | 2 |
| #14557550 | 2 |
| #14557543 | 2 |
| C2×#11924454 | 2 |
| #14557305 | 2 |
| #14557291 | 2 |
| C37×#568 | 2 |
| #1902 | 37 |