Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
612 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #14557440 | C2 | semidirect |
| 5. #14557424 | C2 | semidirect |
| 6. #14557404 | C2 | semidirect |
| 7. #14557402 | C2 | semidirect |
| 8. #14557379 | C2 | semidirect |
| 9. C2×C4×Q8×C37 | C2 | semidirect |
| 12. #11924525 | C4 | semidirect |
| 33. C2×Q8×C37 | C2×C4 | semidirect |
| 53. #10596938 | C2×C4 | semidirect |
| 57. C4×Dic37 | C2×C4 | semidirect |
| 113. C2×C4×Q8 | D37 | semidirect |
| 121. C37 | #2326 | semidirect |
| 145. C2×Q8 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924525 | 2 |
| C2×C4×D148 | 2 |
| #14557440 | 2 |
| #14557434 | 2 |
| #14557424 | 2 |
| #14557404 | 2 |
| #14557402 | 2 |
| #14557379 | 2 |
| C2×C4×Q8×C37 | 2 |
| #2326 | 37 |