Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
284 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 66 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. #34037139 | C2 | semidirect |
| 2. #34037128 | C2 | semidirect |
| 3. #34037127 | C2 | semidirect |
| 4. #34037110 | C2 | semidirect |
| 5. #34037109 | C2 | semidirect |
| 6. #34037092 | C2 | semidirect |
| 26. C2×#17989792 | C4 | semidirect |
| 27. C2×#17989791 | C4 | semidirect |
| 28. C2×#17989787 | C4 | semidirect |
| 30. C2×SD16×C293 | C4 | semidirect |
| 132. C293 | #1976 | semidirect |
| 149. C2×SD16 | #11924078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34037139 | 2 |
| #34037128 | 2 |
| #34037127 | 2 |
| #34037110 | 2 |
| #34037109 | 2 |
| #34037092 | 2 |
| C2×#22627645 | 2 |
| #1976 | 293 |