Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #34036684 | C2 | semidirect |
| 3. #34036473 | C2 | semidirect |
| 4. #34036421 | C2 | semidirect |
| 5. #34036340 | C2 | semidirect |
| 6. #34036334 | C2 | semidirect |
| 8. #34036235 | C2 | semidirect |
| 9. #34036226 | C2 | semidirect |
| 10. #34036185 | C2 | semidirect |
| 11. #476×C293 | C2 | semidirect |
| 136. C293 | #3116 | semidirect |
| 142. #476 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036684 | 2 |
| C4×#17989801 | 2 |
| #34036473 | 2 |
| #34036421 | 2 |
| #34036340 | 2 |
| #34036334 | 2 |
| #34036292 | 2 |
| #34036235 | 2 |
| #34036226 | 2 |
| #34036185 | 2 |
| #476×C293 | 2 |
| #3116 | 293 |