Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
576 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 173 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. #34036029 | C2 | semidirect |
| 3. #34036019 | C2 | semidirect |
| 4. #34036014 | C2 | semidirect |
| 5. #34036007 | C2 | semidirect |
| 6. #34036005 | C2 | semidirect |
| 7. #34036000 | C2 | semidirect |
| 8. #34035992 | C2 | semidirect |
| 9. #380×C293 | C2 | semidirect |
| 13. #22627598 | C4 | semidirect |
| 37. C2×C22⋊D293 | C2×C4 | semidirect |
| 44. C4⋊Dic293 | C2×C4 | semidirect |
| 50. #17989779 | C2×C4 | semidirect |
| 54. C22×C4×C293 | C2×C4 | semidirect |
| 129. C293 | #2377 | semidirect |
| 139. #380 | D293 | semidirect |
| 176. C22×C4 | C4×D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627598 | 2 |
| #34036029 | 2 |
| #34036019 | 2 |
| #34036014 | 2 |
| #34036007 | 2 |
| #34036005 | 2 |
| #34036000 | 2 |
| #34035992 | 2 |
| #380×C293 | 2 |
| #2377 | 293 |