Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
500 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 185 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. #14558001 | C2 | semidirect |
| 3. #14557627 | C2 | semidirect |
| 4. #14557620 | C2 | semidirect |
| 5. #14557615 | C2 | semidirect |
| 6. #14557527 | C2 | semidirect |
| 7. C2×C8×Dic37 | C2 | semidirect |
| 8. C37×#427 | C2 | semidirect |
| 10. #11924558 | C4 | semidirect |
| 33. #10596962 | C2×C4 | semidirect |
| 38. C2×C8×C37 | C2×C4 | semidirect |
| 52. Dic148 | C2×C4 | semidirect |
| 53. D296 | C2×C4 | semidirect |
| 54. #10596930 | C2×C4 | semidirect |
| 87. Dic37 | #135 | semidirect |
| 98. #427 | D37 | semidirect |
| 101. C37 | C4×#135 | semidirect |
| 136. C2×C8 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924558 | 2 |
| #14558001 | 2 |
| #14557627 | 2 |
| #14557620 | 2 |
| #14557615 | 2 |
| #14557527 | 2 |
| C2×C8×Dic37 | 2 |
| C37×#427 | 2 |
| C4×#135 | 37 |