Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×Dic148 | C2 | semidirect |
| 2. C2×Q16×D37 | C2 | semidirect |
| 4. #14557911 | C2 | semidirect |
| 5. #14557775 | C2 | semidirect |
| 6. #14557742 | C2 | semidirect |
| 7. #14557690 | C2 | semidirect |
| 8. #14557688 | C2 | semidirect |
| 9. #14557627 | C2 | semidirect |
| 11. C37×#467 | C2 | semidirect |
| 78. Dic148 | D4 | semidirect |
| 90. C22⋊D37 | Q16 | semidirect |
| 112. C22×C37 | C2×Q16 | semidirect |
| 116. C2×D37 | C2×Q16 | semidirect |
| 126. Dic37 | C2×Q16 | semidirect |
| 138. #467 | D37 | semidirect |
| 144. C37 | D4×Q16 | semidirect |
| 248. C22 | Q16×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic148 | 2 |
| C2×Q16×D37 | 2 |
| #14558196 | 2 |
| #14557911 | 2 |
| #14557775 | 2 |
| #14557742 | 2 |
| #14557690 | 2 |
| #14557688 | 2 |
| #14557627 | 2 |
| C8×C22⋊D37 | 2 |
| C37×#467 | 2 |
| D4×Q16 | 37 |