Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
326 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 67 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. #34036169 | C2 | semidirect |
| 3. C2×#22627552 | C2 | semidirect |
| 4. #34036128 | C2 | semidirect |
| 5. C2×#22627541 | C2 | semidirect |
| 6. #34035889 | C2 | semidirect |
| 7. #390×C293 | C2 | semidirect |
| 40. #17989786 | D4 | semidirect |
| 130. C293 | #2037 | semidirect |
| 137. #390 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036696 | 2 |
| #34036169 | 2 |
| C2×#22627552 | 2 |
| #34036128 | 2 |
| C2×#22627541 | 2 |
| #34035889 | 2 |
| #390×C293 | 2 |
| #2037 | 293 |