Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
524 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 170 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. #14558482 | C2 | semidirect |
| 3. C4×C4⋊#3866 | C2 | semidirect |
| 5. #14558469 | C2 | semidirect |
| 6. C42×#3866 | C2 | semidirect |
| 17. #11924495 | C4 | semidirect |
| 18. #11924494 | C4 | semidirect |
| 19. #11924493 | C4 | semidirect |
| 20. #11924493 | C4 | semidirect |
| 21. #11924492 | C4 | semidirect |
| 26. #117×C37 | C4 | semidirect |
| 116. C37 | #2298 | semidirect |
| 123. #117 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558483 | 2 |
| #14558482 | 2 |
| C4×C4⋊#3866 | 2 |
| C4×C22⋊#3866 | 2 |
| #14558469 | 2 |
| C42×#3866 | 2 |
| #117×D37 | 2 |
| #2298 | 37 |