Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
348 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 115 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. #34036854 | C2 | semidirect |
| 3. #34036482 | C2 | semidirect |
| 4. #34036427 | C2 | semidirect |
| 5. #34036411 | C2 | semidirect |
| 6. #34036350 | C2 | semidirect |
| 8. C8×Dic586 | C2 | semidirect |
| 9. C4×Dic1172 | C2 | semidirect |
| 10. #34036220 | C2 | semidirect |
| 117. C293 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036865 | 2 |
| #34036854 | 2 |
| #34036482 | 2 |
| #34036427 | 2 |
| #34036411 | 2 |
| #34036350 | 2 |
| #34036326 | 2 |
| C8×Dic586 | 2 |
| C4×Dic1172 | 2 |
| #34036220 | 2 |
| #486×C293 | 2 |
| #3365 | 293 |