Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
214 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 61 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. #34036183 | C2 | semidirect |
| 3. #34036179 | C2 | semidirect |
| 4. #34035854 | C2 | semidirect |
| 5. #34035854 | C2 | semidirect |
| 106. C293 | #1473 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627617 | 2 |
| #34036183 | 2 |
| #34036179 | 2 |
| #34035854 | 2 |
| #34035853 | 2 |
| #323×C293 | 2 |
| #1473 | 293 |