Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
176 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 63 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. #34036206 | C2 | semidirect |
| 3. #34035856 | C2 | semidirect |
| 4. #34035850 | C2 | semidirect |
| 5. #334×C293 | C2 | semidirect |
| 41. C8×C293 | M16 | semidirect |
| 55. C293 | #1594 | semidirect |
| 59. #334 | D293 | semidirect |
| 97. C8 | #17989785 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D2344 | 2 |
| #34036206 | 2 |
| #34035856 | 2 |
| #34035850 | 2 |
| #334×C293 | 2 |
| #1594 | 293 |