Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
348 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. #34036537 | C2 | semidirect |
| 4. #34036536 | C2 | semidirect |
| 5. #34036531 | C2 | semidirect |
| 6. #34036528 | C2 | semidirect |
| 7. #34036528 | C2 | semidirect |
| 11. #499×C293 | C2 | semidirect |
| 43. #17989785 | Q8 | semidirect |
| 44. #17989785 | Q8 | semidirect |
| 99. C293 | #3166 | semidirect |
| 108. #499 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036685 | 2 |
| #125×D293 | 2 |
| #34036537 | 2 |
| #34036536 | 2 |
| #34036531 | 2 |
| #34036528 | 2 |
| #34036170 | 2 |
| #34036168 | 2 |
| C4×#17989785 | 2 |
| #499×C293 | 2 |
| #3166 | 293 |