Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 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. #34036677 | C2 | semidirect |
| 2. #34036658 | C2 | semidirect |
| 3. #34036538 | C2 | semidirect |
| 4. #34036493 | C2 | semidirect |
| 5. #34036488 | C2 | semidirect |
| 6. #34036379 | C2 | semidirect |
| 7. #34036372 | C2 | semidirect |
| 8. SD16×Dic293 | C2 | semidirect |
| 9. D8×Dic293 | C2 | semidirect |
| 10. #34036081 | C2 | semidirect |
| 11. #496×C293 | C2 | semidirect |
| 110. C8×C293 | #41 | semidirect |
| 137. C293 | #3171 | semidirect |
| 142. #496 | D293 | semidirect |
| 248. C8 | #17989801 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036677 | 2 |
| #34036658 | 2 |
| #34036538 | 2 |
| #34036493 | 2 |
| #34036488 | 2 |
| #34036379 | 2 |
| #34036372 | 2 |
| SD16×Dic293 | 2 |
| D8×Dic293 | 2 |
| #34036081 | 2 |
| #496×C293 | 2 |
| #3171 | 293 |