Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
| 5. #14557432 | C2 | semidirect |
| 6. #14557287 | C2 | semidirect |
| 7. C37×#340 | C2 | semidirect |
| 19. #11924456 | C4 | semidirect |
| 45. C4⋊C4×C37 | C2×C4 | semidirect |
| 55. C2×#64436 | C2×C4 | semidirect |
| 88. D148 | C4⋊C4 | semidirect |
| 129. #340 | D37 | semidirect |
| 131. C37 | #1864 | semidirect |
| 175. C4⋊C4 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924498 | 2 |
| C2×#11924467 | 2 |
| C2×#11924458 | 2 |
| C2×#11924456 | 2 |
| #14557432 | 2 |
| #14557287 | 2 |
| C37×#340 | 2 |
| #1864 | 37 |