Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
380 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 5. #34036412 | C2 | semidirect |
| 6. #34036337 | C2 | semidirect |
| 8. #34036236 | C2 | semidirect |
| 9. #34036233 | C2 | semidirect |
| 127. C293 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036681 | 2 |
| C2×Q8×Dic293 | 2 |
| #34036460 | 2 |
| #34036457 | 2 |
| #34036412 | 2 |
| #34036337 | 2 |
| #34036285 | 2 |
| #34036236 | 2 |
| #34036233 | 2 |
| #34036183 | 2 |
| #451×C293 | 2 |
| #3113 | 293 |