Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
572 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#11924559 | C2 | semidirect |
| 2. C2×#11924557 | C2 | semidirect |
| 3. C2×#11924555 | C2 | semidirect |
| 4. #14558082 | C2 | semidirect |
| 5. #14557917 | C2 | semidirect |
| 6. #14557915 | C2 | semidirect |
| 7. #14557911 | C2 | semidirect |
| 8. #14557908 | C2 | semidirect |
| 9. #14557904 | C2 | semidirect |
| 10. C4×C8×D37 | C2 | semidirect |
| 11. C37×#495 | C2 | semidirect |
| 75. C8×D37 | D4 | semidirect |
| 76. C8×D37 | D4 | semidirect |
| 119. Dic37 | #135 | semidirect |
| 132. #495 | D37 | semidirect |
| 137. C37 | #3147 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924559 | 2 |
| C2×#11924557 | 2 |
| C2×#11924555 | 2 |
| #14558082 | 2 |
| #14557917 | 2 |
| #14557915 | 2 |
| #14557911 | 2 |
| #14557908 | 2 |
| #14557904 | 2 |
| C4×C8×D37 | 2 |
| C37×#495 | 2 |
| #3147 | 37 |