Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
348 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#11924467 | C2 | semidirect |
| 3. C2×#11924460 | C2 | semidirect |
| 5. C2×C4×#64436 | C2 | semidirect |
| 7. C37×#391 | C2 | semidirect |
| 11. C2×#10596941 | C4 | semidirect |
| 73. C2×C4×C37 | SD16 | semidirect |
| 87. #64436 | C22⋊C4 | semidirect |
| 118. #391 | D37 | semidirect |
| 120. C37 | #1968 | semidirect |
| 192. C2×C4 | #10596941 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596941 | 2 |
| C2×#11924467 | 2 |
| C2×#11924460 | 2 |
| C2×#11924456 | 2 |
| C2×C4×#64436 | 2 |
| #14557435 | 2 |
| C37×#391 | 2 |
| #1968 | 37 |