Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
924 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 924 conjugacy classes of subgroups — too many to draw. Only its 237 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×D4×Dic37 | C2 | semidirect |
| 3. C2×#11924498 | C2 | semidirect |
| 4. C2×#11924496 | C2 | semidirect |
| 5. #14557435 | C2 | semidirect |
| 6. #14557433 | C2 | semidirect |
| 7. #14557402 | C2 | semidirect |
| 8. C42×Dic37 | C2 | semidirect |
| 9. C37×#390 | C2 | semidirect |
| 14. #11924532 | C4 | semidirect |
| 35. C2×D4×C37 | C2×C4 | semidirect |
| 41. C2×C22⋊D37 | C2×C4 | semidirect |
| 50. C2×D148 | C2×C4 | semidirect |
| 62. C4×Dic37 | C2×C4 | semidirect |
| 63. C4×Dic37 | D4 | semidirect |
| 64. C4×Dic37 | D4 | semidirect |
| 115. C4×C37 | C4×D4 | semidirect |
| 118. Dic37 | C4×D4 | semidirect |
| 119. Dic37 | #127 | semidirect |
| 134. #390 | D37 | semidirect |
| 137. C37 | C4×#127 | semidirect |
| 169. C2×D4 | C4×D37 | semidirect |
| 247. C4 | #11924496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924532 | 2 |
| C2×D4×Dic37 | 2 |
| C2×#11924498 | 2 |
| C2×#11924496 | 2 |
| #14557435 | 2 |
| #14557433 | 2 |
| #14557402 | 2 |
| C42×Dic37 | 2 |
| C37×#390 | 2 |
| C4×#127 | 37 |