Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. #34036852 | C2 | semidirect |
| 3. #34036480 | C2 | semidirect |
| 4. #34036473 | C2 | semidirect |
| 5. #34036409 | C2 | semidirect |
| 6. #34036369 | C2 | semidirect |
| 7. #34036339 | C2 | semidirect |
| 8. #34036288 | C2 | semidirect |
| 9. C8×D1172 | C2 | semidirect |
| 10. #34036122 | C2 | semidirect |
| 11. C4×SD16×C293 | C2 | semidirect |
| 125. C293 | #3302 | semidirect |
| 135. C4×SD16 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036852 | 2 |
| #34036783 | 2 |
| #34036480 | 2 |
| #34036473 | 2 |
| #34036409 | 2 |
| #34036369 | 2 |
| #34036339 | 2 |
| #34036288 | 2 |
| C8×D1172 | 2 |
| #34036122 | 2 |
| C4×SD16×C293 | 2 |
| #3302 | 293 |