Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
198 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 65 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. #34036534 | C2 | semidirect |
| 2. #34036525 | C2 | semidirect |
| 4. #34036481 | C2 | semidirect |
| 6. #34035850 | C2 | semidirect |
| 54. C8×C293 | SD16 | semidirect |
| 69. C293 | #1714 | semidirect |
| 124. C8 | #17989790 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036534 | 2 |
| #34036525 | 2 |
| #34036501 | 2 |
| #34036481 | 2 |
| #34036475 | 2 |
| #34035850 | 2 |
| #492×C293 | 2 |
| #1714 | 293 |