Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
188 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 188 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 |
|---|---|---|
| 2. #34036330 | C2 | semidirect |
| 3. #34036326 | C2 | semidirect |
| 4. #34036253 | C2 | semidirect |
| 5. #34035881 | C2 | semidirect |
| 6. #34035872 | C2 | semidirect |
| 7. #331×C293 | C2 | semidirect |
| 45. Dic586 | D8 | semidirect |
| 55. #14556873 | SD16 | semidirect |
| 86. C293 | #1668 | semidirect |
| 94. #331 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036505 | 2 |
| #34036330 | 2 |
| #34036326 | 2 |
| #34036253 | 2 |
| #34035881 | 2 |
| #34035872 | 2 |
| #331×C293 | 2 |
| #1668 | 293 |