Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 125 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×#11924557 | C2 | semidirect |
| 2. #14558187 | C2 | semidirect |
| 3. #14558186 | C2 | semidirect |
| 4. #14557912 | C2 | semidirect |
| 5. #14557773 | C2 | semidirect |
| 6. #14557739 | C2 | semidirect |
| 7. #14557698 | C2 | semidirect |
| 8. #14557692 | C2 | semidirect |
| 9. C4×#10596939 | C2 | semidirect |
| 10. #14557598 | C2 | semidirect |
| 11. C37×#461 | C2 | semidirect |
| 67. #10596939 | D4 | semidirect |
| 126. C4×C37 | #135 | semidirect |
| 145. #461 | D37 | semidirect |
| 150. C37 | #3283 | semidirect |
| 268. C4 | #11924557 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924557 | 2 |
| #14558187 | 2 |
| #14558186 | 2 |
| #14557912 | 2 |
| #14557773 | 2 |
| #14557739 | 2 |
| #14557698 | 2 |
| #14557692 | 2 |
| C4×#10596939 | 2 |
| #14557598 | 2 |
| C37×#461 | 2 |
| #3283 | 37 |