Finite Group DatabasebetaFinite Group DatabasebetaOrder 37952.
234 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 99 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. #34039280 | C2 | semidirect |
| 2. #34039278 | C2 | semidirect |
| 3. #34039275 | C2 | semidirect |
| 4. #34039271 | C2 | semidirect |
| 5. #34039270 | C2 | semidirect |
| 6. #34039267 | C2 | semidirect |
| 7. #34039263 | C2 | semidirect |
| 9. C4×Dic1186 | C2 | semidirect |
| 10. C4×D2372 | C2 | semidirect |
| 11. C4×C22⋊D593 | C2 | semidirect |
| 12. C4×C22⋊D593 | C2 | semidirect |
| 13. #34039242 | C2 | semidirect |
| 14. C42×D593 | C2 | semidirect |
| 15. #117×C593 | C2 | semidirect |
| 103. C593 | #529 | semidirect |
| 118. #117 | D593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34039280 | 2 |
| #34039278 | 2 |
| #34039275 | 2 |
| #34039271 | 2 |
| #34039270 | 2 |
| #34039267 | 2 |
| #34039263 | 2 |
| #34039258 | 2 |
| C4×Dic1186 | 2 |
| C4×D2372 | 2 |
| C4×C22⋊D593 | 2 |
| #34039242 | 2 |
| C42×D593 | 2 |
| #117×C593 | 2 |
| #529 | 593 |