Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
218 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 59 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. #34036184 | C2 | semidirect |
| 3. #97×D293 | C2 | semidirect |
| 4. #34035871 | C2 | semidirect |
| 5. #34035868 | C2 | semidirect |
| 6. #34035868 | C2 | semidirect |
| 7. #330×C293 | C2 | semidirect |
| 98. C293 | #1532 | semidirect |
| 104. #330 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036664 | 2 |
| #34036184 | 2 |
| #97×D293 | 2 |
| #34035871 | 2 |
| #34035868 | 2 |
| #330×C293 | 2 |
| #1532 | 293 |