Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
412 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
| 3. #34036527 | C2 | semidirect |
| 4. #34036502 | C2 | semidirect |
| 5. #34036480 | C2 | semidirect |
| 6. #34036476 | C2 | semidirect |
| 7. #34036358 | C2 | semidirect |
| 8. C4×#17989791 | C2 | semidirect |
| 9. C2×C4×C8×C293 | C2 | semidirect |
| 82. C2×C4×C293 | SD16 | semidirect |
| 90. C8×C293 | #41 | semidirect |
| 112. C293 | #3167 | semidirect |
| 122. C2×C4×C8 | D293 | semidirect |
| 195. C2×C4 | #17989791 | semidirect |
| 203. C8 | #17989802 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036686 | 2 |
| #34036679 | 2 |
| #34036527 | 2 |
| #34036502 | 2 |
| #34036480 | 2 |
| #34036476 | 2 |
| #34036358 | 2 |
| C4×#17989791 | 2 |
| C2×C4×C8×C293 | 2 |
| #3167 | 293 |