Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 1. #34036684 | C2 | semidirect |
| 3. #34036496 | C2 | semidirect |
| 4. #34036492 | C2 | semidirect |
| 5. #34036491 | C2 | semidirect |
| 6. #34036489 | C2 | semidirect |
| 7. #34036488 | C2 | semidirect |
| 8. #34036124 | C2 | semidirect |
| 9. #34036122 | C2 | semidirect |
| 10. #97×D293 | C2 | semidirect |
| 11. #489×C293 | C2 | semidirect |
| 137. C293 | #3135 | semidirect |
| 146. #489 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036684 | 2 |
| #34036678 | 2 |
| #34036496 | 2 |
| #34036492 | 2 |
| #34036491 | 2 |
| #34036489 | 2 |
| #34036488 | 2 |
| #34036124 | 2 |
| #34036122 | 2 |
| #97×D293 | 2 |
| #489×C293 | 2 |
| #3135 | 293 |