Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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. C2×#22627655 | C2 | semidirect |
| 3. C2×Q8×Dic293 | C2 | semidirect |
| 4. #34036353 | C2 | semidirect |
| 5. #34036349 | C2 | semidirect |
| 6. #34036337 | C2 | semidirect |
| 7. #34036327 | C2 | semidirect |
| 8. #34036152 | C2 | semidirect |
| 9. #34036131 | C2 | semidirect |
| 10. #34036130 | C2 | semidirect |
| 11. C2×#137×C293 | C2 | semidirect |
| 80. C2×Q8×C293 | D4 | semidirect |
| 150. Dic293 | #137 | semidirect |
| 157. C293 | #3037 | semidirect |
| 160. C2×#137 | D293 | semidirect |
| 210. C2×Q8 | C22⋊D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627655 | 2 |
| #34036675 | 2 |
| C2×Q8×Dic293 | 2 |
| #34036353 | 2 |
| #34036349 | 2 |
| #34036337 | 2 |
| #34036327 | 2 |
| #34036152 | 2 |
| #34036131 | 2 |
| #34036130 | 2 |
| C2×#137×C293 | 2 |
| #3037 | 293 |