Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 3. #34036435 | C2 | semidirect |
| 4. #34036434 | C2 | semidirect |
| 5. #34036421 | C2 | semidirect |
| 6. #34036415 | C2 | semidirect |
| 7. #34036414 | C2 | semidirect |
| 11. #477×C293 | C2 | semidirect |
| 47. Q8×D293 | Q8 | semidirect |
| 130. C293 | #3078 | semidirect |
| 137. #477 | D293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036684 | 2 |
| C4×Q8×D293 | 2 |
| #34036435 | 2 |
| #34036434 | 2 |
| #34036421 | 2 |
| #34036415 | 2 |
| #34036414 | 2 |
| #34036170 | 2 |
| #34036151 | 2 |
| #34036136 | 2 |
| #477×C293 | 2 |
| #3078 | 293 |