Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
424 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 129 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×#22627623 | C2 | semidirect |
| 3. #34036490 | C2 | semidirect |
| 4. #34036487 | C2 | semidirect |
| 5. #34036478 | C2 | semidirect |
| 6. #34036474 | C2 | semidirect |
| 7. #34036131 | C2 | semidirect |
| 8. #34036130 | C2 | semidirect |
| 9. #34036128 | C2 | semidirect |
| 10. M16×Dic293 | C2 | semidirect |
| 11. #417×C293 | C2 | semidirect |
| 149. C293 | #3141 | semidirect |
| 160. #417 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036675 | 2 |
| C2×#22627623 | 2 |
| #34036490 | 2 |
| #34036487 | 2 |
| #34036478 | 2 |
| #34036474 | 2 |
| #34036131 | 2 |
| #34036130 | 2 |
| #34036128 | 2 |
| M16×Dic293 | 2 |
| #417×C293 | 2 |
| #3141 | 293 |