Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
572 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 572 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 |
|---|---|---|
| 1. C2×#22627647 | C2 | semidirect |
| 2. C2×#22627645 | C2 | semidirect |
| 3. C2×#22627643 | C2 | semidirect |
| 4. #34036678 | C2 | semidirect |
| 5. #34036513 | C2 | semidirect |
| 6. #34036511 | C2 | semidirect |
| 7. #34036507 | C2 | semidirect |
| 8. #34036504 | C2 | semidirect |
| 9. #34036500 | C2 | semidirect |
| 10. C4×C8×D293 | C2 | semidirect |
| 11. #495×C293 | C2 | semidirect |
| 62. C8×D293 | D4 | semidirect |
| 63. C8×D293 | D4 | semidirect |
| 119. Dic293 | #135 | semidirect |
| 125. C293 | #3147 | semidirect |
| 133. #495 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22627647 | 2 |
| C2×#22627645 | 2 |
| C2×#22627643 | 2 |
| #34036678 | 2 |
| #34036513 | 2 |
| #34036511 | 2 |
| #34036507 | 2 |
| #34036504 | 2 |
| #34036500 | 2 |
| C4×C8×D293 | 2 |
| #495×C293 | 2 |
| #3147 | 293 |