Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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. #34036858 | C2 | semidirect |
| 3. #34036485 | C2 | semidirect |
| 5. #34036432 | C2 | semidirect |
| 6. #34036414 | C2 | semidirect |
| 7. #34036353 | C2 | semidirect |
| 9. C8×Dic586 | C2 | semidirect |
| 10. #34036214 | C2 | semidirect |
| 11. C4×Q16×C293 | C2 | semidirect |
| 117. C293 | #3365 | semidirect |
| 128. C4×Q16 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036864 | 2 |
| #34036858 | 2 |
| #34036485 | 2 |
| #34036476 | 2 |
| #34036432 | 2 |
| #34036414 | 2 |
| #34036353 | 2 |
| #34036329 | 2 |
| C8×Dic586 | 2 |
| #34036214 | 2 |
| C4×Q16×C293 | 2 |
| #3365 | 293 |