Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
420 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 2. #34036479 | C2 | semidirect |
| 3. #34036457 | C2 | semidirect |
| 4. #34036414 | C2 | semidirect |
| 5. #34036360 | C2 | semidirect |
| 6. #34036331 | C2 | semidirect |
| 7. #34036268 | C2 | semidirect |
| 8. C4×#17989789 | C2 | semidirect |
| 9. D4×#14556873 | C2 | semidirect |
| 10. C2×#22627548 | C2 | semidirect |
| 11. D4×Q8×C293 | C2 | semidirect |
| 94. Q8×C293 | #41 | semidirect |
| 95. D4×C293 | SD16 | semidirect |
| 128. C293 | #3298 | semidirect |
| 130. D4×Q8 | D293 | semidirect |
| 213. Q8 | #17989801 | semidirect |
| 217. D4 | #17989789 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036783 | 2 |
| #34036479 | 2 |
| #34036457 | 2 |
| #34036414 | 2 |
| #34036360 | 2 |
| #34036331 | 2 |
| #34036268 | 2 |
| C4×#17989789 | 2 |
| D4×#14556873 | 2 |
| C2×#22627548 | 2 |
| D4×Q8×C293 | 2 |
| #3298 | 293 |