Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
318 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#22627549 | C2 | semidirect |
| 3. C2×#22627549 | C2 | semidirect |
| 6. #34036027 | C2 | semidirect |
| 7. #336×C293 | C2 | semidirect |
| 129. C293 | #2042 | semidirect |
| 137. #336 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627612 | 2 |
| C2×#22627549 | 2 |
| C2×#22627546 | 2 |
| #34036027 | 2 |
| #336×C293 | 2 |
| #2042 | 293 |