Finite Group DatabasebetaFinite Group DatabasebetaOrder 37952.
106 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 45 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. #34039293 | C2 | semidirect |
| 3. #34039292 | C2 | semidirect |
| 4. #34039220 | C2 | semidirect |
| 5. #34039213 | C2 | semidirect |
| 6. C4×#18011654 | C2 | semidirect |
| 7. #104×C593 | C2 | semidirect |
| 9. #23748723 | C4 | semidirect |
| 10. #23748721 | C4 | semidirect |
| 11. #23748720 | C4 | semidirect |
| 12. #23748718 | C4 | semidirect |
| 51. C593 | #443 | semidirect |
| 58. #104 | D593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34039305 | 2 |
| #34039293 | 2 |
| #34039292 | 2 |
| #34039220 | 2 |
| #34039213 | 2 |
| C4×#18011654 | 2 |
| #104×C593 | 2 |
| #443 | 593 |