Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
382 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 382 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. #34036858 | C2 | semidirect |
| 3. #34036492 | C2 | semidirect |
| 4. #34036475 | C2 | semidirect |
| 5. #34036427 | C2 | semidirect |
| 6. #34036410 | C2 | semidirect |
| 7. #34036327 | C2 | semidirect |
| 8. #34036256 | C2 | semidirect |
| 9. #34036230 | C2 | semidirect |
| 10. C4×#17989789 | C2 | semidirect |
| 11. #460×C293 | C2 | semidirect |
| 91. Q8×C293 | #41 | semidirect |
| 124. C293 | #3368 | semidirect |
| 133. #460 | D293 | semidirect |
| 204. Q8 | #17989801 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036858 | 2 |
| #34036799 | 2 |
| #34036492 | 2 |
| #34036475 | 2 |
| #34036427 | 2 |
| #34036410 | 2 |
| #34036327 | 2 |
| #34036256 | 2 |
| #34036230 | 2 |
| C4×#17989789 | 2 |
| #460×C293 | 2 |
| #3368 | 293 |