Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
832 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 832 conjugacy classes of subgroups — too many to draw. Only its 209 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×C4×C22⋊D37 | C2 | semidirect |
| 3. C2×#11924496 | C2 | semidirect |
| 4. #14557433 | C2 | semidirect |
| 5. #14557433 | C2 | semidirect |
| 6. #14557413 | C2 | semidirect |
| 7. #14557411 | C2 | semidirect |
| 8. #14557384 | C2 | semidirect |
| 9. C37×#386 | C2 | semidirect |
| 15. #11924532 | C4 | semidirect |
| 39. C2×D4×C37 | C2×C4 | semidirect |
| 49. C2×C22⋊D37 | C2×C4 | semidirect |
| 50. C2×C22⋊D37 | C2×C4 | semidirect |
| 58. C2×D148 | C2×C4 | semidirect |
| 70. #10596936 | D4 | semidirect |
| 73. C4×Dic37 | C2×C4 | semidirect |
| 144. Dic37 | C4×D4 | semidirect |
| 161. #386 | D37 | semidirect |
| 163. C37 | #2366 | semidirect |
| 202. C2×D4 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924532 | 2 |
| C2×C4×C22⋊D37 | 2 |
| C2×#11924496 | 2 |
| #14557433 | 2 |
| #14557413 | 2 |
| #14557411 | 2 |
| #14557384 | 2 |
| C37×#386 | 2 |
| #2366 | 37 |