Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
424 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×Q8×Dic293 | C2 | semidirect |
| 3. #34036443 | C2 | semidirect |
| 4. #34036440 | C2 | semidirect |
| 5. #34036422 | C2 | semidirect |
| 6. #34036327 | C2 | semidirect |
| 7. #34036268 | C2 | semidirect |
| 8. #34036232 | C2 | semidirect |
| 9. #34036230 | C2 | semidirect |
| 10. #34036183 | C2 | semidirect |
| 11. #448×C293 | C2 | semidirect |
| 104. Q8×C293 | #41 | semidirect |
| 140. C293 | #3112 | semidirect |
| 149. #448 | D293 | semidirect |
| 229. Q8 | #17989801 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036674 | 2 |
| C2×Q8×Dic293 | 2 |
| #34036443 | 2 |
| #34036440 | 2 |
| #34036422 | 2 |
| #34036327 | 2 |
| #34036268 | 2 |
| #34036232 | 2 |
| #34036230 | 2 |
| #34036183 | 2 |
| #448×C293 | 2 |
| #3112 | 293 |