Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
386 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 129 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. #34036464 | C2 | semidirect |
| 4. #34036436 | C2 | semidirect |
| 5. #34036351 | C2 | semidirect |
| 6. #34036285 | C2 | semidirect |
| 8. #34036234 | C2 | semidirect |
| 9. #34036227 | C2 | semidirect |
| 10. #34036186 | C2 | semidirect |
| 11. C2×C4×Q8×C293 | C2 | semidirect |
| 131. C293 | #3117 | semidirect |
| 134. C2×C4×Q8 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036663 | 2 |
| #34036464 | 2 |
| #34036447 | 2 |
| #34036436 | 2 |
| #34036351 | 2 |
| #34036285 | 2 |
| #34036268 | 2 |
| #34036234 | 2 |
| #34036227 | 2 |
| #34036186 | 2 |
| C2×C4×Q8×C293 | 2 |
| #3117 | 293 |