Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
382 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 117 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. #34036858 | C2 | semidirect |
| 3. #34036492 | C2 | semidirect |
| 4. #34036476 | C2 | semidirect |
| 5. #34036428 | C2 | semidirect |
| 6. #34036409 | C2 | semidirect |
| 7. #34036329 | C2 | semidirect |
| 8. #34036327 | C2 | semidirect |
| 9. #34036259 | C2 | semidirect |
| 10. #34036232 | C2 | semidirect |
| 11. C4×SD16×C293 | C2 | semidirect |
| 90. Q8×C293 | #41 | semidirect |
| 124. C293 | #3368 | semidirect |
| 136. C4×SD16 | D293 | semidirect |
| 204. Q8 | #17989802 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036858 | 2 |
| #34036800 | 2 |
| #34036492 | 2 |
| #34036476 | 2 |
| #34036428 | 2 |
| #34036409 | 2 |
| #34036329 | 2 |
| #34036327 | 2 |
| #34036259 | 2 |
| #34036232 | 2 |
| C4×SD16×C293 | 2 |
| #3368 | 293 |