Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
198 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 53 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. #34036505 | C2 | semidirect |
| 2. #34036324 | C2 | semidirect |
| 3. #34036207 | C2 | semidirect |
| 4. #34035879 | C2 | semidirect |
| 5. #34035873 | C2 | semidirect |
| 6. #34035872 | C2 | semidirect |
| 7. #459×C293 | C2 | semidirect |
| 53. #14556873 | D8 | semidirect |
| 92. C293 | #1687 | semidirect |
| 96. #459 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036505 | 2 |
| #34036324 | 2 |
| #34036207 | 2 |
| #34035879 | 2 |
| #34035873 | 2 |
| #34035872 | 2 |
| #459×C293 | 2 |
| #1687 | 293 |