Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
552 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 552 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×#11924568 | C2 | semidirect |
| 2. C2×#11924565 | C2 | semidirect |
| 4. C4⋊Q8×D37 | C2 | semidirect |
| 5. #14557928 | C2 | semidirect |
| 6. #14557927 | C2 | semidirect |
| 7. #14557925 | C2 | semidirect |
| 8. #14557911 | C2 | semidirect |
| 9. #14557904 | C2 | semidirect |
| 10. #14557485 | C2 | semidirect |
| 11. C37×#497 | C2 | semidirect |
| 79. #10596929 | D4 | semidirect |
| 124. Dic37 | #137 | semidirect |
| 138. #497 | D37 | semidirect |
| 142. C37 | #3152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924568 | 2 |
| C2×#11924565 | 2 |
| #14558082 | 2 |
| C4⋊Q8×D37 | 2 |
| #14557928 | 2 |
| #14557927 | 2 |
| #14557925 | 2 |
| #14557911 | 2 |
| #14557904 | 2 |
| #14557485 | 2 |
| C37×#497 | 2 |
| #3152 | 37 |