Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
456 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 125 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×#11924456 | C2 | semidirect |
| 3. C2×C22⋊#64436 | C2 | semidirect |
| 4. #14557295 | C2 | semidirect |
| 5. C22×C4⋊C4×C37 | C2 | semidirect |
| 10. #11924510 | C4 | semidirect |
| 39. C2×D148 | C2×C4 | semidirect |
| 42. C4⋊C4×C37 | D4 | semidirect |
| 45. C4⋊Dic37 | C2×C4 | semidirect |
| 90. C22×C37 | #102 | semidirect |
| 121. C22×C4⋊C4 | D37 | semidirect |
| 125. C37 | #1874 | semidirect |
| 167. C4⋊C4 | C22⋊D37 | semidirect |
| 217. C22 | #11924456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924510 | 2 |
| C2×#11924456 | 2 |
| C2×C22⋊#64436 | 2 |
| #14557295 | 2 |
| C22×C4⋊C4×C37 | 2 |
| #1874 | 37 |