Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
| 2. #34036488 | C2 | semidirect |
| 3. #34036483 | C2 | semidirect |
| 4. #34036138 | C2 | semidirect |
| 6. C4×#17989786 | C2 | semidirect |
| 9. #22627624 | C22 | semidirect |
| 10. #22627616 | C22 | semidirect |
| 14. #22627548 | C22 | semidirect |
| 16. #22627535 | C22 | semidirect |
| 17. C4×#14556873 | C22 | semidirect |
| 83. C293 | #3140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036686 | 2 |
| #34036488 | 2 |
| #34036483 | 2 |
| #34036138 | 2 |
| #34036134 | 2 |
| C4×#17989786 | 2 |
| C2×#124×C293 | 2 |
| #3140 | 293 |