Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 3. #34036532 | C2 | semidirect |
| 4. #34036508 | C2 | semidirect |
| 5. #34036480 | C2 | semidirect |
| 7. #34036221 | C2 | semidirect |
| 9. #487×C293 | C2 | semidirect |
| 76. C4×D293 | Q16 | semidirect |
| 104. C293 | #3170 | semidirect |
| 111. #487 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036684 | 2 |
| #34036532 | 2 |
| #34036508 | 2 |
| #34036480 | 2 |
| #34036369 | 2 |
| #34036221 | 2 |
| C4×C8×D293 | 2 |
| #487×C293 | 2 |
| #3170 | 293 |