Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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. #34036433 | C2 | semidirect |
| 3. #34036433 | C2 | semidirect |
| 4. #34036421 | C2 | semidirect |
| 5. #34036411 | C2 | semidirect |
| 43. C2×Dic586 | Q8 | semidirect |
| 116. C293 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036606 | 2 |
| #34036433 | 2 |
| #34036421 | 2 |
| #34036411 | 2 |
| #34036169 | 2 |
| #34036165 | 2 |
| #34036156 | 2 |
| #34036137 | 2 |
| C2×#22627547 | 2 |
| #544×C293 | 2 |
| #3082 | 293 |