Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 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 |
|---|---|---|
| 2. #34036533 | C2 | semidirect |
| 3. #34036507 | C2 | semidirect |
| 4. #34036478 | C2 | semidirect |
| 8. C4×Dic1172 | C2 | semidirect |
| 9. C4×#17989792 | C2 | semidirect |
| 11. C4×Q16×C293 | C2 | semidirect |
| 83. C4×D293 | Q16 | semidirect |
| 114. C293 | #3170 | semidirect |
| 125. C4×Q16 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036683 | 2 |
| #34036533 | 2 |
| #34036507 | 2 |
| #34036478 | 2 |
| #34036371 | 2 |
| #34036369 | 2 |
| #34036367 | 2 |
| C4×Dic1172 | 2 |
| C4×#17989792 | 2 |
| C4×C8×D293 | 2 |
| C4×Q16×C293 | 2 |
| #3170 | 293 |