Finite Group DatabasebetaFinite Group DatabasebetaOrder 37504.
152 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 152 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 |
|---|---|---|
| 48. #14556873 | Q16 | semidirect |
| 71. C293 | #1591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #34036260 | 2 |
| #34036256 | 2 |
| C4×#17989792 | 2 |
| #34035881 | 2 |
| #34035861 | 2 |
| C8×#14556873 | 2 |
| Q8⋊C8×C293 | 2 |
| #1591 | 293 |