Finite Group DatabasebetaFinite Group DatabasebetaOrder 37952.
120 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 49 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. Q8×Dic593 | C2 | semidirect |
| 4. #34039218 | C2 | semidirect |
| 6. #34039195 | C2 | semidirect |
| 7. #103×C593 | C2 | semidirect |
| 10. #23748720 | C4 | semidirect |
| 27. #18011654 | C2×C4 | semidirect |
| 29. Q8×C593 | C2×C4 | semidirect |
| 49. C593 | #440 | semidirect |
| 55. #103 | D593 | semidirect |
| 72. Q8 | C4×D593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#23748720 | 2 |
| Q8×Dic593 | 2 |
| #34039247 | 2 |
| #34039218 | 2 |
| #34039207 | 2 |
| #34039195 | 2 |
| #103×C593 | 2 |
| #440 | 593 |