Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
444 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 129 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. #34036686 | C2 | semidirect |
| 3. #34036465 | C2 | semidirect |
| 4. #34036410 | C2 | semidirect |
| 5. #34036335 | C2 | semidirect |
| 7. #34036231 | C2 | semidirect |
| 8. #432×C293 | C2 | semidirect |
| 12. #22627624 | C22 | semidirect |
| 13. #22627624 | C22 | semidirect |
| 18. C4×Dic586 | C22 | semidirect |
| 26. #22627558 | C22 | semidirect |
| 27. #22627549 | C22 | semidirect |
| 30. C4⋊C8×C293 | C22 | semidirect |
| 32. #97×C293 | C22 | semidirect |
| 112. C293 | #3110 | semidirect |
| 121. #432 | D293 | semidirect |
| 141. C4⋊C8 | C2×D293 | semidirect |
| 145. #97 | C2×D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036686 | 2 |
| C2×C4×D1172 | 2 |
| #34036465 | 2 |
| #34036410 | 2 |
| #34036335 | 2 |
| #34036282 | 2 |
| #34036231 | 2 |
| #432×C293 | 2 |
| #3110 | 293 |