Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
364 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 119 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. #34036684 | C2 | semidirect |
| 3. #34036538 | C2 | semidirect |
| 4. #34036497 | C2 | semidirect |
| 5. #34036488 | C2 | semidirect |
| 6. #34036384 | C2 | semidirect |
| 8. Q16×Dic293 | C2 | semidirect |
| 9. SD16×Dic293 | C2 | semidirect |
| 10. #34036081 | C2 | semidirect |
| 11. #497×C293 | C2 | semidirect |
| 129. C293 | #3172 | semidirect |
| 134. #497 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036684 | 2 |
| #34036658 | 2 |
| #34036538 | 2 |
| #34036497 | 2 |
| #34036488 | 2 |
| #34036384 | 2 |
| #34036372 | 2 |
| Q16×Dic293 | 2 |
| SD16×Dic293 | 2 |
| #34036081 | 2 |
| #497×C293 | 2 |
| #3172 | 293 |